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Solid Fuels

Combustion and Gasification

A Series of Textbooks and Reference Books

Founding Editor

L.L.Faulkner

Columbus Division, Battelle Memorial Institute and Department of Mechanical Engineering

The Ohio State University Columbus, Ohio

1. Spring Designerís Handbook, Harold Carlson

2. Computer-Aided Graphics and Design, Daniel L.Ryan

3. Lubrication Fundamentals, J.George Wills

4. Solar Engineering for Domestic Buildings, William A.Himmelman

5. Applied Engineering Mechanics: Statics and Dynamics, G.Boothroyd and C.Poli

6. Centrifugal Pump Clinic, Igor J.Karassik

7. Computer-Aided Kinetics for Machine Design, Daniel L.Ryan

8. Plastics Products Design Handbook, Part A: Materials and Components; Part B: Processes and Design for Processes, edited by Edward Miller

9. Turbomachinery: Basic Theory and Applications, Earl Logan, Jr.

10. Vibrations of Shells and Plates, Werner Soedel

11. Flat and Corrugated Diaphragm Design Handbook, Mario Di Giovanni

12. Practical Stress Analysis in Engineering Design, Alexander Blake

13. An Introduction to the Design and Behavior of Bolted Joints, John H. Bickford

14. Optimal Engineering Design: Principles and Applications, James N.Siddall

15. Spring Manufacturing Handbook, Harold Carlson

16. Industrial Noise Control: Fundamentals and Applications, edited by Lewis H.Bell

17. Gears and Their Vibration: A Basic Approach to Understanding Gear Noise, J.Derek Smith

18. Chains for Power Transmission and Material Handling: Design and Applications Handbook, American Chain Association

19. Corrosion and Corrosion Protection Handbook, edited by Philip A. Schweitzer

20. Gear Drive Systems: Design and Application, Peter Lynwander

21. Controlling In-Plant Airborne Contaminants: Systems Design and Calculations, John D.Constance

22. CAD/CAM Systems Planning and Implementation, Charles S.Knox

23. Probabilistic Engineering Design: Principles and Applications, James N. Siddall

24. Traction Drives: Selection and Application, Frederick W.Heilich III and Eugene E.Shube

25. Finite Element Methods: An Introduction, Ronald L.Huston and Chris E. Passerello

26. Mechanical Fastening of Plastics: An Engineering Handbook, Brayton Lincoln, Kenneth J.Gomes, and James F.Braden

27. Lubrication in Practice: Second Edition, edited by W.S.Robertson

28. Principles of Automated Drafting, Daniel L.Ryan

29. Practical Seal Design, edited by Leonard J.Martini

30. Engineering Documentation for CAD/CAM Applications, Charles S.Knox

31. Design Dimensioning with Computer Graphics Applications, Jerome C. Lange

32. Mechanism Analysis: Simplified Graphical and Analytical Techniques, Lyndon O.Barton

33. CAD/CAM Systems: Justification, Implementation, Productivity Measurement, Edward J.Preston, George W.Crawford, and Mark E.Coticchia

34. Steam Plant Calculations Manual, V.Ganapathy

35. Design Assurance for Engineers and Managers, John A.Burgess

36. Heat Transfer Fluids and Systems for Process and Energy Applications, Jasbir Singh

37. Potential Flows: Computer Graphic Solutions, Robert H.Kirchhoff

38. Computer-Aided Graphics and Design: Second Edition, Daniel L.Ryan

39. Electronically Controlled Proportional Valves: Selection and Application, Michael J.Tonyan, edited by Tobi Goldoftas

40. Pressure Gauge Handbook, AMETEK, U.S. Gauge Division, edited by Philip W.Harland

41. Fabric Filtration for Combustion Sources: Fundamentals and Basic Technology, R.P.Donovan

42. Design of Mechanical Joints, Alexander Blake

43. CAD/CAM Dictionary, Edward J.Preston, George W.Crawford, and Mark E. Coticchia

44. Machinery Adhesives for Locking, Retaining, and Sealing, Girard S.Haviland

45. Couplings and Joints: Design, Selection, and Application, Jon R.Mancuso

46. Shaft Alignment Handbook, John Piotrowski

47. BASIC Programs for Steam Plant Engineers: Boilers, Combustion, Fluid Flow, and Heat Transfer, V.Ganapathy

48. Solving Mechanical Design Problems with Computer Graphics, Jerome C.Lange

49. Plastics Gearing: Selection and Application, Clifford E.Adams

50. Clutches and Brakes: Design and Selection, William C.Orthwein

51. Transducers in Mechanical and Electronic Design, Harry L.Trietley

52. Metallurgical Applications of Shock-Wave and High-Strain-Rate Phenomena, edited by Lawrence E.Murr, Karl P.Staudhammer, and Marc A.Meyers

53. Magnesium Products Design, Robert S.Busk

54. How to Integrate CAD/CAM Systems: Management and Technology, William D.Engelke

55. Cam Design and Manufacture: Second Edition; with cam design software for the IBM PC and compatibles, disk included, Preben W.Jensen

56. Solid-State AC Motor Controls: Selection and Application, Sylvester Campbell

57. Fundamentals of Robotics, David D.Ardayfio

58. Belt Selection and Application for Engineers, edited by Wallace D.Erickson

59. Developing Three-Dimensional CAD Software with the IBM PC, C.Stan Wei

60. Organizing Data for CIM Applications, Charles S.Knox, with contributions by Thomas C.Boos, Ross S.Culverhouse, and Paul F.Muchnicki

61. Computer-Aided Simulation in Railway Dynamics, by Rao V.Dukkipati and Joseph R.Amyot

62. Fiber-Reinforced Composites: Materials, Manufacturing, and Design, P.K. Mallick

63. Photoelectric Sensors and Controls: Selection and Application, Scott M. Juds

64. Finite Element Analysis with Personal Computers, Edward R.Champion, Jr., and J.Michael Ensminger

65. Ultrasonics: Fundamentals, Technology, Applications: Second Edition, Revised and Expanded, Dale Ensminger

66. Applied Finite Element Modeling: Practical Problem Solving for Engineers, Jeffrey M.Steele

67. Measurement and Instrumentation in Engineering: Principles and Basic Laboratory Experiments, Francis S.Tse and Ivan E.Morse

68. Centrifugal Pump Clinic: Second Edition, Revised and Expanded, Igor J. Karassik

69. Practical Stress Analysis in Engineering Design: Second Edition, Revised and Expanded, Alexander Blake

70. An Introduction to the Design and Behavior of Bolted Joints: Second Edition, Revised and Expanded, John H.Bickford

71. High Vacuum Technology: A Practical Guide, Marsbed H.Hablanian

72. Pressure Sensors: Selection and Application, Duane Tandeske

73. Zinc Handbook: Properties, Processing, and Use in Design, Frank Porter

74. Thermal Fatigue of Metals, Andrzej Weronski and Tadeusz Hejwowski

75. Classical and Modern Mechanisms for Engineers and Inventors, Preben W.Jensen

76. Handbook of Electronic Package Design, edited by Michael Pecht

77. Shock-Wave and High-Strain-Rate Phenomena in Materials, edited by Marc A.Meyers, Lawrence E.Murr, and Karl P.Staudhammer

78. Industrial Refrigeration: Principles, Design and Applications, P.C.Koelet

79. Applied Combustion, Eugene L.Keating

80. Engine Oils and Automotive Lubrication, edited by Wilfried J.Bartz

81. Mechanism Analysis: Simplified and Graphical Techniques, Second Edition, Revised and Expanded, Lyndon O.Barton

82. Fundamental Fluid Mechanics for the Practicing Engineer, James W. Murdock

83. Fiber-Reinforced Composites: Materials, Manufacturing, and Design, Second Edition, Revised and Expanded, P.K.Mallick

84. Numerical Methods for Engineering Applications, Edward R.Champion, Jr.

85. Turbomachinery: Basic Theory and Applications, Second Edition, Revised and Expanded, Earl Logan, Jr.

86. Vibrations of Shells and Plates: Second Edition, Revised and Expanded, Werner Soedel

87. Steam Plant Calculations Manual: Second Edition, Revised and Expanded, V.Ganapathy

88. Industrial Noise Control: Fundamentals and Applications, Second Edition, Revised and Expanded, Lewis H.Bell and Douglas H.Bell

89. Finite Elements: Their Design and Performance, Richard H.MacNeal

90. Mechanical Properties of Polymers and Composites: Second Edition, Revised and Expanded, Lawrence E.Nielsen and Robert F.Landel

91. Mechanical Wear Prediction and Prevention, Raymond G.Bayer

92. Mechanical Power Transmission Components, edited by David W.South and Jon R.Mancuso

93. Handbook of Turbomachinery, edited by Earl Logan, Jr.

94. Engineering Documentation Control Practices and Procedures, Ray E. Monahan

95. Refractory Linings Thermomechanical Design and Applications, Charles A.Schacht

96. Geometric Dimensioning and Tolerancing: Applications and Techniques for Use in Design, Manufacturing, and Inspection, James D.Meadows

97. An Introduction to the Design and Behavior of Bolted Joints: Third Edition, Revised and Expanded, John H.Bickford

98. Shaft Alignment Handbook: Second Edition, Revised and Expanded, John Piotrowski

99. Computer-Aided Design of Polymer-Matrix Composite Structures, edited by Suong Van Hoa

100. Friction Science and Technology, Peter J.Blau

101. Introduction to Plastics and Composites: Mechanical Properties and Engineering Applications, Edward Miller

102. Practical Fracture Mechanics in Design, Alexander Blake

103. Pump Characteristics and Applications, Michael W.Volk

104. Optical Principles and Technology for Engineers, James E.Stewart

105. Optimizing the Shape of Mechanical Elements and Structures, A.A.Seireg and Jorge Rodriguez

106. Kinematics and Dynamics of Machinery, VladimÌr Stejskal and Michael Val öek

107. Shaft Seals for Dynamic Applications, Les Horve

108. Reliability-Based Mechanical Design, edited by Thomas A.Cruse

109. Mechanical Fastening, Joining, and Assembly, James A.Speck

110. Turbomachinery Fluid Dynamics and Heat Transfer, edited by Chunill Hah

111. High-Vacuum Technology: A Practical Guide, Second Edition, Revised and Expanded, Marsbed H.Hablanian

112. Geometric Dimensioning and Tolerancing: Workbook and Answerbook, James D.Meadows

113. Handbook of Materials Selection for Engineering Applications, edited by G.T.Murray

114. Handbook of Thermoplastic Piping System Design, Thomas Sixsmith and Reinhard Hanselka

115. Practical Guide to Finite Elements: A Solid Mechanics Approach, Steven M.Lepi

116. Applied Computational Fluid Dynamics, edited by Vijay K.Garg

117. Fluid Sealing Technology, Heinz K.Muller and Bernard S.Nau

118. Friction and Lubrication in Mechanical Design, A.A.Seireg

119. Influence Functions and Matrices, Yuri A.Melnikov

120. Mechanical Analysis of Electronic Packaging Systems, Stephen A. McKeown

121. Couplings and Joints: Design, Selection, and Application, Second Edition, Revised and Expanded, Jon R.Mancuso

122. Thermodynamics: Processes and Applications, Earl Logan, Jr.

123. Gear Noise and Vibration, J.Derek Smith

124. Practical Fluid Mechanics for Engineering Applications, John J.Bloomer

125. Handbook of Hydraulic Fluid Technology, edited by George E.Totten

126. Heat Exchanger Design Handbook, T.Kuppan

127. Designing for Product Sound Quality, Richard H.Lyon

128. Probability Applications in Mechanical Design, Franklin E.Fisher and Joy R.Fisher

129. Nickel Alloys, edited by Ulrich Heubner

130. Rotating Machinery Vibration: Problem Analysis and Troubleshooting, Maurice L.Adams, Jr.

131. Formulas for Dynamic Analysis, Ronald L.Huston and C.Q.Liu

132. Handbook of Machinery Dynamics, Lynn L.Faulkner and Earl Logan, Jr.

133. Rapid Prototyping Technology: Selection and Application, Kenneth G. Cooper

134. Reciprocating Machinery Dynamics: Design and Analysis, Abdulla S. Rangwala

135. Maintenance Excellence: Optimizing Equipment Life-Cycle Decisions, edited by John D.Campbell and Andrew K.S.Jardine

136. Practical Guide to Industrial Boiler Systems, Ralph L.Vandagriff

137. Lubrication Fundamentals: Second Edition, Revised and Expanded, D.M. Pirro and A.A.Wessol

138. Mechanical Life Cycle Handbook: Good Environmental Design and Manufacturing, edited by Mahendra S.Hundal

139. Micromachining of Engineering Materials, edited by Joseph McGeough

140. Control Strategies for Dynamic Systems: Design and Implementation, John H.Lumkes, Jr.

141. Practical Guide to Pressure Vessel Manufacturing, Sunil Pullarcot

142. Nondestructive Evaluation: Theory, Techniques, and Applications, edited by Peter J.Shull

143. Diesel Engine Engineering: Thermodynamics, Dynamics, Design, and Control, Andrei Makartchouk

144. Handbook of Machine Tool Analysis, loan D.Marinescu, Constantin Ispas, and Dan Boboc

145. Implementing Concurrent Engineering in Small Companies, Susan Carlson Skalak

146. Practical Guide to the Packaging of Electronics: Thermal and Mechanical Design and Analysis, Ali Jamnia

147. Bearing Design in Machinery: Engineering Tribology and Lubrication, Avraham Harnoy

148. Mechanical Reliability Improvement: Probability and Statistics for Experimental Testing, R.E.Little

149. Industrial Boilers and Heat Recovery Steam Generators: Design, Applications, and Calculations, V.Ganapathy

150. The CAD Guidebook: A Basic Manual for Understanding and Improving Computer-Aided Design, Stephen J.Schoonmaker

151. Industrial Noise Control and Acoustics, Randall F.Barron

152. Mechanical Properties of Engineered Materials, WolÈ Soboyejo

153. Reliability Verification, Testing, and Analysis in Engineering Design, Gary S.Wasserman

154. Fundamental Mechanics of Fluids: Third Edition, I.G.Currie

155. Intermediate Heat Transfer, Kau-Fui Vincent Wong

156. HVAC Water Chillers and Cooling Towers: Fundamentals, Application, and Operation, Herbert W.Stanford III

157. Gear Noise and Vibration: Second Edition, Revised and Expanded, J. Derek Smith

158. Handbook of Turbomachinery: Second Edition, Revised and Expanded, edited by Earl Logan, Jr., and Ramendra Roy

159. Piping and Pipeline Engineering: Design, Construction, Maintenance, Integrity, and Repair, George A.Antaki

160. Turbomachinery: Design and Theory, Rama S.R.Gorla and Aijaz Ahmed Khan

161. Target Costing: Market-Driven Product Design, M.Bradford Clifton, Henry M.B.Bird, Robert E.Albano, and Wesley P.Townsend

162. Fluidized Bed Combustion, Simeon N.Oka

163. Theory of Dimensioning: An Introduction to Parameterizing Geometric Models, Vijay Srinivasan

164. Handbook of Mechanical Alloy Design, edited by George E.Totten, Lin Xie, and Kiyoshi Funatani

165. Structural Analysis of Polymeric Composite Materials, Mark E.Tuttle

166. Modeling and Simulation for Material Selection and Mechanical Design, edited by George E.Totten, Lin Xie, and Kiyoshi Funatani

167. Handbook of Pneumatic Conveying Engineering, David Mills, Mark G. Jones, and Vijay K.Agarwal

168. Clutches and Brakes: Design and Selection, Second Edition, William C. Orthwein

169. Fundamentals of Fluid Film Lubrication: Second Edition, Bernard J. Hamrock, Steven R.Schmid, and Bo O.Jacobson

170. Handbook of Lead-Free Solder Technology for Microelectronic Assemblies, edited by Karl J.Puttlitz and Kathleen A.Stalter

171. Vehicle Stability, Dean Karnopp

172. Mechanical Wear Fundamentals and Testing: Second Edition, Revised and Expanded, Raymond G.Bayer

173. Liquid Pipeline Hydraulics, E.Shashi Menon

174. Solid Fuels Combustion and Gasification, Marcio L.de Souza-Santos

175. Mechanical Tolerance Stackup and Analysis, Bryan R.Fischer

176. Engineering Design for Wear, Raymond G.Bayer

177. Vibrations of Shells and Plates: Third Edition, Revised and Expanded, Werner Soedel

178. Refractories Handbook, edited by Charles A.Schacht

179. Practical Engineering Failure Analysis, Hani Tawancy, Halim Hamid, Nureddin M.Abbas

180. Mechanical Alloying and Milling, C.Suryanarayana

Additional Volumes in Preparation

Progressing Cavity Pumps, Downhole Pumps, and Mudmotors, Lev Nelik Design of Automatic Machinery, Stephen J.Derby

Mechanical Vibration: Analysis, Uncertainties, and Control, Second Edition, Revised and Expanded, Haym Benaroya

Practical Fracture Mechanics in Design: Second Edition, Revised and Expanded, Arun Shukla

Spring Design with an IBM PC, Al Dietrich

Mechanical Design Failure Analysis: With Failure Analysis System Software for the IBM PC, David G.Ullman Copyright

Solid Fuels

Combustion and Gasification

Modeling, Simulation, and Equipment Operation

Marcio L.de Souza-Santos

State University at Campinas São Paolo, Brazil

Transferred to Digital Printing 2005

Although great care has been taken to provide accurate and current information, neither the author(s) nor the publisher, nor anyone else associated with this publication, shall be liable for any loss, damage, or liability directly or indirectly caused or alleged to be caused by this book. The material contained herein is not intended to provide specific advice or recommendations for any specific situation.

Trademark notice: Product or corporate names may be trademarks or registered trademarks and are used only for identification and explanation without intent to infringe.

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A catalog record for this book is available from the Library of Congress.

ISBN:0-8247-0971-3

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Copyright©2004byMarcelDekker,Inc.AllRightsReserved.

Neither this book nor any part may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, microfilming, and recording, or by any information storage and retrieval system, without permission in writing from the publisher.

Current printing (last digit): 10 9 8 7 6 5 4 3 2 1 Copyright

…the history of science—by far the most successful claim to knowledge accessible to humans—teaches that the most we can hope for is successive improvement in our understanding, learning from our mistakes, an asymptotic approach to the Universe, but with the proviso that absolute certainty will always elude us.

The Demon-Haunted World: Science as a Candle in the Dark Ballantine Books, 1996

to Laura, Daniel and Nalva

Preface

Contrary to general perception, the importance of coal and biomass as energy resources continues to increase. Special attention has been given to biomass due to its renewable and overall zero carbon dioxide generation aspects. Therefore, it is not surprising that the number of professionals and graduate students entering the field of power generation based on solid fuels is increasing. However, unlike specialized researchers, they are not interested in deep considerations based on exhaustive literature reviews of specialized texts. Obviously, works in that line are very important; however they assume an audience of accomplished mathematical modelers. Therefore, they do not have the preoccupation of presenting the details on how, from fundamental and general equations, it is possible to arrive at a final model for an equipment or process. Those beginning in the field are not interested in the other extreme, i.e., simple and mechanistic description of equipment design procedures or instruction manuals for application of commercial simulation packages. Their main preoccupations are:

• Sufficient familiarity with the fundamental phenomena taking place in the equipment or processes

• Knowledge of basic procedures for modeling and simulation of equipment and systems.

• Elaborate procedures or methods to predict the behavior of the equipment or processes, mainly for cases where there are no commercially available simulators. Even when simulators are available, to be able to properly set the conditions asked as inputs by the simulator, to evaluate the applicability of possible solutions, and to choose among various alternatives.

• The use those instruments to help solve problems and situations in the field.

• Building confidence for decision making regarding process improvements and investments.

On the other hand, experience shows that a good route to acquire real and testable understanding of a subject in processing is to develop models and their respective computer simulators. The feeling of accomplishment achieved when one is capable of developing one’s own simulator, however simple, is fantastic. This would be the crowning achievement of accumulated knowledge in the subject. The simulation program becomes a source of improvements, not to mention leading to a whole set of other advantages, as detailed later.

The book is essential to graduate students, engineers, and other professionals with a strong scientific background entering the area of solid fuel combustion and gasification, but needing a basic introductory course in mathematical modeling and simulation. The text is based on a course given for many years for professionals and graduate students.

In view of the hands-on approach, several correlations and equations are cited from the literature without the preoccupation on mathematical demonstrations of their validity. References are provided and should be consulted by those interested in more details.

Despite the specific focus on combustion and gasification, the basic methods illustrated here can be employed for modeling a wide range of other processes or equipment commonly found in the processing industry. Operations of equipment such as boilers, furnaces, incinerators, gasifiers, and any others associated with combustion or gasification phenomena involves a multitude of simultaneous processes such as heat, mass and momentum transfers, chemical kinetics of several reactions, drying, and pyrolysis, etc. These should be coherently combined to allow reasonable simulation of industrial units or equipment. This book provides the relevant basic principles.

It is important to emphasize the need for simple models. As mentioned before, most field or design engineers cannot afford to spend too much time on very elaborate and complex models. Of course, there are several levels to which models can be built. Nevertheless, one should be careful with models that are too simple or too complex. The low extreme normally provides only superficial information while the other usually takes years to develop and often involves considerable computational difficulties due to convergence problems or inconsistencies. In the present text, the model complexity is extended just to the point necessary to achieve a reasonable representation of the corresponding equipment. For instance, the examples are limited to two dimensions and most of the models are based on a one-dimensional approach. This may sound simplistic; however, the level of detail and usefulness of results from such simulations are significant. Additionally, the book can also be used as an introduction to more complex models.

The main strategy of the book is to teach by examples. Besides the significant fraction of industrial equipment operating with suspensions of pulverized solid

fuels, the specific cases of moving and fluidized bubbling beds have been selected because they:

Cover much of the equipment related to combustion and gasification of solid fuels found in industry. In the particular case of fluidized beds, the fraction of equipment employing that technique has continually increased. In fact several more conventional boilers and furnaces operating with suspensions have been retrofitted to fluidized beds. Allow easy-to-follow examples of how simplifying assumptions regarding the operation of real industrial equipment can be set.

Permit relatively quick introduction of fundamental equations without the need for overly complex treatments.

Provide simple examples applying model and simulation techniques and how these can be put together to write a simulation program. Allow easier comparisons between real operational data and simulation results.

In addition, the book contains basic descriptions of combustion and gasification processes, including suspension or pneumatic transport. Several fundamental aspects are common and can be applicable in studies of any technique, such as: zero-dimensional mass and energy balances, kinetics of gas and solid reactions, heat and mass transport phenomena and correlations, and pressure losses though air or gas distributors.

Although the basic concepts of momentum, heat, and mass transfer phenomena can be found in several texts, the fundamental equations for such processes are included here, minimizing the need to consult other texts. Concepts usually learned in graduate-level engineering courses will be sufficient. The same is valid for thermodynamics, fundamentals of chemical kinetics, and applied mathematics—mainly concerning aspects of differential equations.

To summarize, the book:

• Shows several constructive and operational features of equipment dealing with combustion and gasification of solid fuels, such as coal, biomass, and solid residues, etc.

• Presents basic aspects of solid and gas combustion phenomena

• Introduces the fundamental methodology to formulate a mathematical model of the above equipments

• Demonstrates possible routes from model to workable computer simulation program

• Illustrates interpretations of simulation results that may be applied as tools for improving the performance of existing industrial equipment or for optimized design of new ones

It is organized as follows. Chapter 1 presents some generally applicable notions concerning modeling and simulation. Chapter 2 shows main characteristics of solid fuels, such as coals and biomasses. Chapter 3 introduces basic concepts equipments. Chapter 4 provides formulas and methods to allow first calculations regarding solid fuel processing. Chapter 5 describes the fundamental equations

of solid-gas systems and main characteristics of combustion and gasification of zero-dimensional models with the objective of allowing verification of overall relations between inputs and outputs of any general process, including combustors and gasifiers.

Chapter 6 introduces a very basic and simple first-dimension model of a gas of mass, energy, and momentum transfer equations. Chapter 7 describes the using the case of moving-bed combustor or gasifier. Chapters 8 and 9 introduce methods to compute gas-gas and gas-solid reaction rates. Chapter 10 introduces and constitutive equations and methods that may be used to build a computer modeling of drying and pyrolysis of solid fuels. Chapter 11 presents auxiliary

reactor. Of course, it is not the intention to present any model for flames; that is beyond the scope of this introductory book. However, it is useful to introduce standard considerations regarding mathematical modeling and the application first example of a model for solid fuel combustion and gasification equipment, program to simulate the model introduced in Chapter 10.

Chapter 12 shows how to put together all the information previously given described earlier. Chapter 13 repeats the same approach used for Chapter 7, but now pertaining to bubbling fluidized-bed combustors and gasifiers. Chapters 14 and 15 provide correlations and constitutive equations that together with combustors, boilers, and gasifiers. Chapter 16 has the same objective for the

in order to build a workable simulation program. The chapter also presents comparisons between measured parameters obtained from a real operation of moving-bed gasifier and results from a simulation program based on the model several already given enable the writing a computer program for fluidized bed cases of fluidized bed combustors as Chapter 12 for moving bed combustors and gasifiers.

Almost all the chapters include exercises. They will stimulate the imagination and build confidence in solving problems related to modeling and simulation. The relative degree of difficulty or volume of work expected is indicated by an increasing number of asterisks—problems marked with four asterisks usually require solid training in the solution of differential equations or demand considerable work.

Acknowledgments

It is extremely important to acknowledge the help of various colleagues whom I had the pleasure to work with, in particular to Alan B.Hedley (University of Sheffield, U.K.), Francisco D.Alves de Souza (Institute for Technological Research, São Paulo, Brazil), and former colleagues at the Institute of Gas Technology (Chicago). I appreciate the collaboration of several students and friends, who pointed out errors and made suggestions. I also thank John Corrigan and the staff of Marcel Dekker, Inc. for their help during all the aspects of the publication process. Finally, I am also grateful to the State University of Campinas (UNICAMP) and colleagues at the Energy Department of Mechanical Engineering for their support.

Nomenclature

ai parameters or constants (dimensionless)

a general parameter or coefficient (dimensions depend on the application) or ratio between the radius of the nucleus and the original particle or Helmoltz energy (J kg-1)

â activity coefficient (dimensionless)

A area (m2) or ash (in chemical reactions)

ae air excess (dimensionless)

b exergy (J kg-1)

B coefficient, constant or parameter (dimensions depend on the application)

c specific heat at constant pressure (J kg-1 K-1)

C constants or parameters to be defined in each situation

COC1(j) coefficient of component j in the representative formula of char (after drying and devolatilization of original fuel) (dimensionless)

COC2(j) coefficient of component j in the representative formula of coke (due to tar coking) (dimensionless)

COF(j) coefficient of component j in the representative formula of original solid fuel (dimensionless)

COF(j) coefficient of component j in the representative formula of original solid fuel (dimensionless)

COT(j) coefficient of component j in the representative formula of tar (dimensionless)

COV(j) coefficient of component j in the representative formula of volatile fraction of the original solid fuel (dimensionless)

d diameter (m)

dP particle diameter (m)

Dj diffusivity of component j in the phase or media indicated afterwards (m2 s-1) activation energy of reaction i (J kmol-1)

É factor or fraction (dimensionless)

Ébexp expansion factor of the bed or ratio between its actual volume and volume at minimum fluidization condition (dimensionless)

É514 total mass fractional conversion of carbon fmoist mass fractional conversion of moisture (or fractional degree of drying)

ÉV mass fractional conversion of volatiles (or degree of devolatilization)

Éfc mass fraction conversion of fixed carbon

Ém mass fraction of particles kind m among all particles present in the process (dimensionless)

Éair air excess (dimensionless)

Éfr fuel ratio factor used in reactivity calculations (dimensionless)

F mass flow (kg s-1)

g acceleration of gravity (m s-2) or specific Gibbs function (J/kg)

G mass flux (kg m-2 s-1) variation of Gibbs function related to reaction i (J kmol-1)

h enthalpy (J kg-1)

H height (m)

HHV high heat value (J kg-1)

i inclination relative to the horizontal position (rad)

I variable to indicate the direction of mass flow concerning a control volume (+1 entering the CV; -1 leaving the CV)

jj mass flux of component j due to diffusion process (kg m-2 s-1)

kj kinetic coefficient of reaction i (s-1) (otherwise, unit depends on the reaction)

kt specific turbulent kinetic energy (m2 s-2)

k0i

preexponential coefficient of reaction i (s-1) (otherwise, unit depends on the reaction)

Ki equilibrium coefficient for reaction i (unit depend on the reaction and notation)

K0i preexponential equilibrium coefficient for reaction i (unit depend on the reaction and notation)

l mixing length (m)

L coefficient used in devolatilization computations (dimensionless)

Lgrate length of grate (m)

LT length of tube (m)

LHV low heat value (J kg-1)

n number of moles

nCP number of chemical species or components

nCV number of control volumes

nG number of chemical species or components in the gas phase

nS number of chemical species or components in the solid phase

nSR number of streams

Nj mass flux of component j referred to a fixed frame of coordinates (kg m-2 s-1)

M mass (kg)

Mj molecular mass of component j (kmol/kg)

NAr Archimedes number (dimensionless)

NBi Biot number (dimensionless)

NNu Nusselt number (dimensionless)

NPe Peclet number (dimensionless)

NPr Prandtl number (dimensionless)

NRe Reynolds number (dimensionless)

NSc Schmidt number (dimensionless)

NSh Sherwood number (dimensionless)

p index for the particle geometry (0=planar, 1=cylindrical, 3= sphere)

pj partial pressure of component j (Pa)

P pressure (Pa)

q energy flux (W m-2)

rate of energy generation (+) or consumption (-) of an equipment or system (W)

r radial coordinate (m)

ri rate of reaction i (for homogeneous reactions: kg m -3 s1; for heterogeneous reactions: kg m-2 s-1)

R equipment radius (m)

R universal gas constant (8314.2 J kmol-1 K-1)

RC rate of energy transfer to (if positive) or from (if negative) the indicated phase due to convection [W m3 (of reactor volume or volume of the indicates phase)]

Rcond rate of energy transfer to (if positive) or from (if negative) the indicated phase due to conduction [W m3 (of reactor volume or volume of the indicated phase)]

Rh rate of energy transfer to (if positive) or from (if negative) the indicated phase due to mass transfer between phases [W m-3 (of reactor volume or volume of the indicated phase)]

Rj rate of component j generation (if positive) or consumption (if negative) by chemical reactions (kg m -3 s -1). If in molar basis (~) the units are (kmol m -3 s -1 ).

Rkind,j rate of component j generation (if positive) or consumption (if negative) by chemical reactions. Units vary according to the “kind” of reaction. If the subscript indicates homogeneous reactions the units are kg m-3 (of gas phase) s-1, if heterogeneous reactions in kg m-2 (of external or of reacting particles) s-1.

RM,G,j total rate of production (or consumption if negative) of gas component j [kg m-3 (of gas phase) s-1]

RM,S,j

total rate of production (or consumption if negative) of solid-phase component j [kg m-3 (of reacting particles) s-1]

RQ rate of energy generation (if positive) or consumption (if negative) due to chemical reactions [W m-3 (of reactor volume or volume of the indicated phase)]

RR rate of energy transfer to (if positive) or from (if negative) the indicated phase due to radiation [W m-3 (of reactor volume or volume of the indicated phase)]

Rheat heating rate imposed on a process (K/s)

s entropy (J kg-1 K-1)

S cross-sectional area (m2). If no index, it indicates the cross-sectional area of the reactor (m2).

t time (s)

T temperature (K)

T*reference temperature (298 K)

Te ration between activation energy and gas constant ( ) (K)

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The Project Gutenberg eBook of Narrative and Critical History of America, Vol. 4 (of 8)

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Title: Narrative and Critical History of America, Vol. 4 (of 8)

Editor: Justin Winsor

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Language: English

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*** START OF THE PROJECT GUTENBERG EBOOK NARRATIVE AND CRITICAL HISTORY OF AMERICA, VOL. 4 (OF 8) ***

The Project Gutenberg eBook, Narrative and Critical History of America, Vol. IV (of 8), by Various, Edited by Justin Winsor

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NARRATIVE AND CRITICAL HISTORY OF AMERICA

French Explorations and Settlements

In North America AND THOSE OF The Portuguese, Dutch, and Swedes

1500-1700

NARRATIVE AND CRITICAL

HISTORY OF AMERICA

EDITED

BY JUSTIN WINSOR

LIBRARIAN OF HARVARD UNIVERSITY

CORRESPONDING SECRETARY MASSACHUSETTS HISTORICAL SOCIETY

VOL. IV

BOSTON AND NEW YORK HOUGHTON, MIFFLIN AND COMPANY

The Riverside Press, Cambridge

Copyright, 1884, BY JAMES R. OSGOOD AND COMPANY.

Allrights reserved.

The Riverside Press, Cambridge, Mass., U. S. A.

Printed by H. O. Houghton & Company.

CONTENTS AND ILLUSTRATIONS.

[The Frencharms on the title are those usedby the RoyalPrinting-Office in Paris in the SeventeenthCentury.]

INTRODUCTION.

PHYSIOGRAPHY OF NORTH AMERICA. NathanielS. Shaler i

CHAPTER I.

CORTEREAL, VERRAZANO, GOMEZ, THEVET. George Dexter 1

ILLUSTRATION: Early Fishing Stages, 3.

CRITICAL ESSAY. 12

ILLUSTRATION: The Verrazano map, 26.

AUTOGRAPHS: Francis I., 23; Janus Verrazanus, 25.

MAPS OF THE EASTERN COAST OF NORTH AMERICA, 1500-1535. The Editor 33

ILLUSTRATIONS: The Admiral’s map, 34; Portuguese Chart (1503), 35; Map of Lazaro Luis, 37; of Verrazano (1529), 37; of

Ribero (1529), 38; of Maiollo (1527), 39; of Agnese (1536), 40; of Münster (1540), 41; Ulpius Globe (1542), 42; Carta Marina (1548), 43; Lok’s Map (1582), 44; John White’s Map (1585), 45; Map of North America (15321540), 46.

CHAPTER II.

JACQUES CARTIER AND HIS SUCCESSORS. Benjamin F . De Costa

ILLUSTRATION: Jacques Cartier, 48.

AUTOGRAPHS: Jacques Cartier, 48; Henri the Dauphin, 56.

CRITICAL ESSAY

ILLUSTRATIONS: Maps of Allefonsce, 74, 75, 76, 77; of Des Liens (1566), 78.

47

62

CARTOGRAPHY OF THE NORTHEAST COAST OF NORTH AMERICA. 1535-1600. The Editor 81

ILLUSTRATIONS: The Nancy Globe, 81; Ulpius Globe (1542), 82; Maps of Rotz (1542), 83, 83; Cabot Mappemonde (1544), 84; Münster’s Map (1545), 84; Map of Medina (1545), 85; of Henri II. (1546), 85; of Freire (1546), 86; in British Museum, 87; of Nic. Vallard, 87; of Gastaldi, 88; belonging to Jomard, 89; of Bellero, 89; of Baptista Agnese (1544), 90; of Volpellio, 90; of Gastaldi in Ramusio, 91; of Homem (1558), 92; of Ruscelli (1561), 92; of Zaltieri (1566), 93; of Mercator (1569), 94; of Ortelius (1570), 95; of Porcacchi (1572), 96; of Martines (1578), 97; of Judæis (1593), 97; of John Dee (1580), 98; of De Bry, (1596), 99; of Wytfliet, 100; of Quadus (1600), 101.

CHAPTER III.

CHAMPLAIN. EdmundF . Slafter

ILLUSTRATIONS: Map of Port St. Louis, 109; of Tadoussac, 114; of Quebec (1613), 115; of the St. Lawrence River (1609), 117; View of Quebec, 118; Champlain, 119; Defeat of the Iroquois, 120; Champlain’s Route (1615), 125; Taking of Quebec (1629), 128.

AUTOGRAPHS: Champlain, 119; Montmagny, 130.

CRITICAL ESSAY

CHAPTER IV.

103

130

ACADIA. Charles C. Smith 135

ILLUSTRATIONS: Sieur de Monts, 136; Isle de Sainte Croix, 137; Buildings on the same, 139; Lescarbot’s Map of Port Royal, 140; Champlain’s Map of Port Royal, 141; Map of Gulf of Maine (circum 1610), 143; Buildings at Port Royal, 144; Map of Pentagöet, 146; Sir William Phips, 147; Jesuit Map (1663), 148.

AUTOGRAPHS: Henry IV., 136; Razilly, 142; La Tour, 143; D’Aulnay, 143; Robert Sedgwick, 145; John Leverett, 145; St. Castine, 146.

CRITICAL ESSAY

ILLUSTRATIONS: Lescarbot’s Map of Acadia, 152; La Hontan’s Map of Acadia, 153; Sir William Alexander, 156; Francis Parkman, 157.

AUTOGRAPH: Francis Parkman, 157.

149

NOTES. The Editor 159

ILLUSTRATIONS: Map of Fort Loyal, 159; Map of Pemaquid, 160.

AUTOGRAPHS: De Meneval, 160; De Villebon, 160; Le Moyne d’Iberville, 161.

CHAPTER V.

DISCOVERY ALONG THE GREAT LAKES. EdwardD. Neill

ILLUSTRATIONS: The Soleil, 192; its bottom, 193.

AUTOGRAPHS: Argenson, 168; Mézy, 172; Courcelle, 177; Frontenac, 177; Henry de Tonty, 182.

C

ILLUSTRATION: Map of early French explorations, 200.

JOLIET, MARQUETTE, AND LA SALLE. The Editor

ILLUSTRATIONS: Map of the Ottawa Route (1640-1650), 202; Dollier and Galinée’s Explorations, 203; Lakes and the Mississippi, 206; Joliet’s Map (1673-74), 208; Fac-simile of Joliet’s Letter, 210; Joliet’s Larger Map (1674), 212, 213; Joliet’s Smaller Map, 214; Basin of the Great Lakes, 215; Joliet’s Carte Générale, 218; Marquette’s Genuine Map, 220; Mississippi Valley (1672-73), 221; Fort Frontenac, 222; Map by Franquelin (1682), 227; (1684), 228; (1688),

163

230-231; by Coronelli et Tillemon (1688), 232; by Raffeix (1688), 233; Ontario and Erie, by Raffeix (1688), 234; by Raudin, 235; La Salle’s Camp, 236; Map by Minet (1685), 237; Murder of La Salle, 243; Portrait of La Salle, 244.

AUTOGRAPHS: Joliet, 204; Raffeix, 232; De Beaujeu, 234; Le Cavelier, 234.

FATHER LOUIS HENNEPIN. The Editor

ILLUSTRATIONS: Niagara Falls, 248; Hennepin’s Map (1683), 249; (1697), 251, 252-253; title of New Discovery, 256.

BARON LA HONTAN. The Editor

ILLUSTRATIONS: La Hontan’s Map (1709), 258, 259; (1703), 260; his Rivière Longue, 261.

CHAPTER VI.

THE JESUITS, RECOLLECTS, AND THE INDIANS. John Gilmary Shea

ILLUSTRATIONS: Paul le Jeune, 272; Map of the Iroquois Country, 281.

AUTOGRAPHS: Trouvé, 266; Fremin, 268; Gabriel Druilletes, 270; Bailloquet, 270; Albanel, 271; Dalmas, 271; Buteux, 271; Bigot, 273; De Noue, 273; Sébastien Rale, 273; Belmont, 275; Garnier, 276; Garreau, 277; Chabanel, 277; Gabriel Lalemant, 278; Raymbault, 279; Claude Dablon, 280; Menard, 280; D’Ailleboust, 282; Lamberville, 285; Picquet, 285.

CRITICAL ESSAY

ILLUSTRATION: J. S. Clarke’s Map of the Mission Sites among the Iroquois, 293.

247

257

263

290

THE JESUIT RELATIONS. The Editor 295

ILLUSTRATIONS: A Canadian (Creuxius), 297; Map of Indian Tribes in the Ohio Valley (1600), 298; Map of Montreal and its Vicinity, 303; Map of the Site of Montreal (Lescarbot), 304; Map of the Huron Country, 305; Brebeuf, 307; Titlepage of the Relation of 1662-63, 310; The Forts on the Sorel River (1662-63), 311; Map of Tracy’s Campaign (1666), 312; Jesuit Map of Lake Superior, 312; Plans of the Forts, 313; Madame de la Peltrie, 314.

AUTOGRAPHS: A. Carayon, 295; Lafitau, 298; Cadwallader Colden, 299; Bresani , 305; Gabriel Druilletes, 306; Ragueneau,

307; Brebeuf, 307; Josephus Poncet, 308; Simon Le Moyne, 308; Margaret Bourgeois, 309; Francois Evesque de Petrée, 309; Menard, 309; Vignal, 310; Tracy, 311; Allouez, 311; Courcelle, 311; Le Mercier, 311; De Salignac, 312; Jacques Marquette, 313; Claude Dablon, 313; L. Jolliet, 315; Bigot, 315; Chaumonot , 316; Jacques Gravier, 316; Marest, 316.

CHAPTER VII.

FRONTENAC AND HIS TIMES. George Stewart, Jr. 317

ILLUSTRATIONS: Early View of Quebec, 320; Canadian on Snow Shoes, 331; Plan of Attack on Quebec (1690), 354.

AUTOGRAPHS: Louis XIV., 323; Frontenac, 326; Duchesneau, 334; Seignelay, 337; Le Fèbre de la Barre, 337; De Meules, 337; De Denonville, 343; Champigny, 346; Engelran, 348.

ILLUSTRATIONS: Quebec Medal, 361; Plan of Attack on Quebec (1690), 362, 363; Canadian Soldier, 365.

AUTOGRAPHS: Monseignat, 364; Frontenac, 364; William Phips, 364; John Walley, 364; Thomas Savage, 364; S. Davis, 364; Fitz-John Winthrop, 364; Philip Schuyler, 365; Ben. Fletcher, 365; De Courtemanche, 365; Colbert, 366.

GENERAL ATLASES AND CHARTS OF THE SIXTEENTH AND SEVENTEENTH CENTURIES. The Editor 369

ILLUSTRATIONS: Title of Wytfliet’s Atlas, 370; Gerard Mercator, 371; Abraham Ortelius, 372; Mercator’s Mappemonde (1569), 373.

AUTOGRAPHS: Gerardus Mercator, 371; Abraham Ortelius, 372.

MAPS OF THE SEVENTEENTH CENTURY SHOWING CANADA. The Editor 377

ILLUSTRATIONS: Map of Molineaux (1600), 377; of Botero (1603), 378; Lescarbot’s Newfoundland (1609), 379; Map by Champlain (1612), 380, 381; (1613), 382; by Jacobsz (1621), 383; by Briggs (1625), 383; by Speed (1626), 384; by De Laet, 384; by Jannson, 385; by Visscher, 385; by Champlain (1632), 386, 387; by Dudley (1647), 388; by Creuxius (1660), 389; by Covens and Mortier, 390; by Gottfried (1655), 390; by Sanson (1656), 391; by Blaeu

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