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Engineers Guide to MATLAB, An

E-book Engels 2011 9780133002614
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book.

An Engineer's Guide to MATLAB, 3/e, is an authoritative guide to generating readable, compact, and verifiably correct MATLAB programs. It is ideal for undergraduate engineering courses in Mechanical, Aeronautical, Civil, and Electrical engineering that require/use MATLAB.

 

This highly respected guide helps students develop a strong working knowledge of MATLAB that can be used to solve a wide range of engineering problems. Since solving these problems usually involves writing relatively short, one-time-use programs, the authors demonstrate how to effectively develop programs that are compact yet readable, easy to debug, and quick to execute. Emphasis is on using MATLAB to obtain solutions to several classes of engineering problems, so technical material is presented in summary form only.

 

The new edition has been thoroughly revised and tested for software release 2009.

 

Specificaties

ISBN13:9780133002614
Taal:Engels
Bindwijze:e-book

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<p style="MARGIN: 0px" align="left" text-align="left">List of Examples xiv</p> <p style="MARGIN: 0px" align="left" text-align="left">Preface to Third Edition xx</p> <p style="MARGIN: 0px" align="left" text-align="left">&nbsp;</p> <p style="MARGIN: 0px" align="left" text-align="left">1 Introduction 1</p> <p style="MARGIN: 0px" align="left" text-align="left">&nbsp;Edward B. Magrab</p> <p style="MARGIN: 0px" align="left" text-align="left">1.1 Introduction 1</p> <p style="MARGIN: 0px" align="left" text-align="left">1.1.1 Organization of the Book and Its Goals 2</p> <p style="MARGIN: 0px" align="left" text-align="left">1.1.2 Some Suggestions on How to Use MATLAB 2</p> <p style="MARGIN: 0px" align="left" text-align="left">1.1.3 Book Notation Conventions 3</p> <p style="MARGIN: 0px" align="left" text-align="left">1.2 The MATLAB Environment 3</p> <p style="MARGIN: 0px" align="left" text-align="left">1.2.1 Introduction 3</p> <p style="MARGIN: 0px" align="left" text-align="left">1.2.2 Preliminaries–Command Window Management 5</p> <p style="MARGIN: 0px" align="left" text-align="left">1.2.3 Executing Expressions from the MATLAB Command Window–Basic MATLAB Syntax 8</p> <p style="MARGIN: 0px" align="left" text-align="left">1.2.4 Clarification and Exceptions to MATLAB’S Syntax 11</p> <p style="MARGIN: 0px" align="left" text-align="left">1.2.5 MATLAB Functions 14</p> <p style="MARGIN: 0px" align="left" text-align="left">1.2.6 Creating Scripts and Executing Them from the MATLAB Editor 19</p> <p style="MARGIN: 0px" align="left" text-align="left">1.3 Online Help 29</p> <p style="MARGIN: 0px" align="left" text-align="left">1.4 The Symbolic Toolbox 33</p> <p style="MARGIN: 0px" align="left" text-align="left">1.5 Summary of Functions Introduced in Chapter 1 41</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 42</p> <p style="MARGIN: 0px" align="left" text-align="left">&nbsp;</p> <p style="MARGIN: 0px" align="left" text-align="left">2 Vectors and Matrices 51</p> <p style="MARGIN: 0px" align="left" text-align="left">&nbsp;Edward B. Magrab</p> <p style="MARGIN: 0px" align="left" text-align="left">2.1 Introduction 51</p> <p style="MARGIN: 0px" align="left" text-align="left">2.2 Definitions of Matrices and Vectors 52</p> <p style="MARGIN: 0px" align="left" text-align="left">2.3 Creation of Vectors 53</p> <p style="MARGIN: 0px" align="left" text-align="left">2.4 Creation of Matrices 64</p> <p style="MARGIN: 0px" align="left" text-align="left">2.5 Dot Operations 83</p> <p style="MARGIN: 0px" align="left" text-align="left">2.6 Mathematical Operations with Matrices 92</p> <p style="MARGIN: 0px" align="left" text-align="left">2.6.1 Addition and Subtraction 92</p> <p style="MARGIN: 0px" align="left" text-align="left">2.6.2 Multiplication 92</p> <p style="MARGIN: 0px" align="left" text-align="left">2.6.3 Determinants 101</p> <p style="MARGIN: 0px" align="left" text-align="left">2.6.4 Matrix Inverse 104</p> <p style="MARGIN: 0px" align="left" text-align="left">2.6.5 Solution of a System of Equations 107</p> <p style="MARGIN: 0px" align="left" text-align="left">2.7 Summary of Functions Introduced in Chapter 2 112</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 113</p> <p style="MARGIN: 0px" align="left" text-align="left">&nbsp;</p> <p style="MARGIN: 0px" align="left" text-align="left">3 Data Input/Output 127</p> <p style="MARGIN: 0px" align="left" text-align="left">&nbsp;Edward B. Magrab</p> <p style="MARGIN: 0px" align="left" text-align="left">3.1 Strings and Annotated Output 127</p> <p style="MARGIN: 0px" align="left" text-align="left">3.1.1 Creating Strings 127</p> <p style="MARGIN: 0px" align="left" text-align="left">3.1.2 Converting Numerical Values to Strings and Displaying Them 130</p> <p style="MARGIN: 0px" align="left" text-align="left">3.2 Entering Data with input 135</p> <p style="MARGIN: 0px" align="left" text-align="left">3.2.1 Entering a Scalar with input 135</p> <p style="MARGIN: 0px" align="left" text-align="left">3.2.2 Entering a String with input 136</p> <p style="MARGIN: 0px" align="left" text-align="left">3.2.3 Entering a Vector with input 137</p> <p style="MARGIN: 0px" align="left" text-align="left">3.2.4 Entering a Matrix with input 137</p> <p style="MARGIN: 0px" align="left" text-align="left">3.3 Input/Output Data Files 137</p> <p style="MARGIN: 0px" align="left" text-align="left">3.4 Cell Arrays 141</p> <p style="MARGIN: 0px" align="left" text-align="left">3.5 Input Microsoft Excel Files 143</p> <p style="MARGIN: 0px" align="left" text-align="left">3.6 Summary of Functions Introduced in Chapter 3 144</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 145</p> <p style="MARGIN: 0px" align="left" text-align="left">&nbsp;</p> <p style="MARGIN: 0px" align="left" text-align="left">4 Program Flow Control 148</p> <p style="MARGIN: 0px" align="left" text-align="left">Edward B. Magrab&nbsp;</p> <p style="MARGIN: 0px" align="left" text-align="left">4.1 Introduction—The Logical Operator 148</p> <p style="MARGIN: 0px" align="left" text-align="left">4.2 Control of Program Flow 151</p> <p style="MARGIN: 0px" align="left" text-align="left">4.2.1 Branching—If Statement 151</p> <p style="MARGIN: 0px" align="left" text-align="left">4.2.2 Branching—Switch Statement 154</p> <p style="MARGIN: 0px" align="left" text-align="left">4.2.3 For Loop 155</p> <p style="MARGIN: 0px" align="left" text-align="left">4.2.4 While Loop 162</p> <p style="MARGIN: 0px" align="left" text-align="left">4.2.5 Early Termination of Either a for or a while Loop 166</p> <p style="MARGIN: 0px" align="left" text-align="left">4.3 Summary of Functions Introduced in Chapter 4 166</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 167</p> <p style="MARGIN: 0px" align="left" text-align="left">&nbsp;</p> <p style="MARGIN: 0px" align="left" text-align="left">5 Function Creation and Selected MATLAB Functions 172</p> <p style="MARGIN: 0px" align="left" text-align="left">Edward B. Magrab&nbsp;</p> <p style="MARGIN: 0px" align="left" text-align="left">5.1 Introduction 173</p> <p style="MARGIN: 0px" align="left" text-align="left">5.1.1 Why Use Functions 173</p> <p style="MARGIN: 0px" align="left" text-align="left">5.1.2 Naming Functions 174</p> <p style="MARGIN: 0px" align="left" text-align="left">5.1.3 Length of Functions 174</p> <p style="MARGIN: 0px" align="left" text-align="left">5.1.4 Debugging Functions 174</p> <p style="MARGIN: 0px" align="left" text-align="left">5.2 User-Defined Functions 175</p> <p style="MARGIN: 0px" align="left" text-align="left">5.2.1 Introduction 175</p> <p style="MARGIN: 0px" align="left" text-align="left">5.2.2 Function File 175</p> <p style="MARGIN: 0px" align="left" text-align="left">5.2.3 Subfunctions 181</p> <p style="MARGIN: 0px" align="left" text-align="left">5.2.4 Anonymous Functions 183</p> <p style="MARGIN: 0px" align="left" text-align="left">5.2.5 inline 184</p> <p style="MARGIN: 0px" align="left" text-align="left">5.2.6 Comparison of the Usage of Subfunctions, Anonymous Functions, and inline 185</p> <p style="MARGIN: 0px" align="left" text-align="left">5.3 User-Defined Functions, Function Handles, and feval 186</p> <p style="MARGIN: 0px" align="left" text-align="left">5.4 MATLAB Functions that Operate on Arrays of Data 187</p> <p style="MARGIN: 0px" align="left" text-align="left">5.4.1 Introduction 187</p> <p style="MARGIN: 0px" align="left" text-align="left">5.4.2 Fitting Data with Polynomials–polyfit/polyval 188</p> <p style="MARGIN: 0px" align="left" text-align="left">5.4.3 Fitting Data with spline 190</p> <p style="MARGIN: 0px" align="left" text-align="left">5.4.4 Interpolation of Data–interp1 192</p> <p style="MARGIN: 0px" align="left" text-align="left">5.4.5 Numerical Integration–trapz 193</p> <p style="MARGIN: 0px" align="left" text-align="left">5.4.6 Area of a Polygon–polyarea 195</p> <p style="MARGIN: 0px" align="left" text-align="left">5.4.7 Digital Signal Processing–fft and ifft 196</p> <p style="MARGIN: 0px" align="left" text-align="left">5.5 MATLAB Functions that Require User-Defined Functions 201</p> <p style="MARGIN: 0px" align="left" text-align="left">5.5.1 Zeros of Functions–fzero and roots/poly 202</p> <p style="MARGIN: 0px" align="left" text-align="left">5.5.2 Numerical Integration–quadl and dblquad 207</p> <p style="MARGIN: 0px" align="left" text-align="left">5.5.3 Numerical Solutions of Ordinary Differential Equations–ode45 212</p> <p style="MARGIN: 0px" align="left" text-align="left">5.5.4 Numerical Solutions of Ordinary Differential Equations–bvp4c 217</p> <p style="MARGIN: 0px" align="left" text-align="left">5.5.5 Numerical Solutions of Delay Differential Equations–dde23 231</p> <p style="MARGIN: 0px" align="left" text-align="left">5.5.6 Numerical Solutions of One-Dimensional Parabolic—Elliptic Partial Differential Equations–pdepe 233</p> <p style="MARGIN: 0px" align="left" text-align="left">5.5.7 Local Minimum of a Function–fminbnd 235</p> <p style="MARGIN: 0px" align="left" text-align="left">5.5.8 Numerical Solutions of Nonlinear Equations–fsolve 238</p> <p style="MARGIN: 0px" align="left" text-align="left">5.6 Symbolic Solutions and Converting Symbolic Expressions into Functions 240</p> <p style="MARGIN: 0px" align="left" text-align="left">5.7 Summary of Functions Introduced in Chapter 5 246</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 247</p> <p style="MARGIN: 0px" align="left" text-align="left">&nbsp;</p> <p style="MARGIN: 0px" align="left" text-align="left">6 2D Graphics 265</p> <p style="MARGIN: 0px" align="left" text-align="left">&nbsp;Edward B. Magrab</p> <p style="MARGIN: 0px" align="left" text-align="left">6.1 Introduction: Graphics Management 266</p> <p style="MARGIN: 0px" align="left" text-align="left">6.2 Basic 2D Plotting Commands 269</p> <p style="MARGIN: 0px" align="left" text-align="left">6.2.1 Introduction 269</p> <p style="MARGIN: 0px" align="left" text-align="left">6.2.2 Changing a Graph’s Overall Appearance 281</p> <p style="MARGIN: 0px" align="left" text-align="left">6.2.3 Special Purpose Graphs 281</p> <p style="MARGIN: 0px" align="left" text-align="left">6.2.4 Reading, Displaying, and Manipulating Digital Images 288</p> <p style="MARGIN: 0px" align="left" text-align="left">6.3 Graph Annotation and Enhancement 290</p> <p style="MARGIN: 0px" align="left" text-align="left">6.3.1 Introduction 290</p> <p style="MARGIN: 0px" align="left" text-align="left">6.3.2 Axes and Curve Labels, Figure Titles, Legends, and Text Placement 290</p> <p style="MARGIN: 0px" align="left" text-align="left">6.3.3 Filling Regions 294</p> <p style="MARGIN: 0px" align="left" text-align="left">6.3.4 Greek Letters, Mathematical Symbols, Subscripts, and Superscripts 297</p> <p style="MARGIN: 0px" align="left" text-align="left">6.3.5 Altering the Attributes of Axes, Curves,Text, and Legends 300</p> <p style="MARGIN: 0px" align="left" text-align="left">6.3.6 Positioning One Figure Inside Another Figure 304</p> <p style="MARGIN: 0px" align="left" text-align="left">6.3.7 Interactive Plotting Tools 306</p> <p style="MARGIN: 0px" align="left" text-align="left">6.3.8 Animation 307</p> <p style="MARGIN: 0px" align="left" text-align="left">6.4 Examples 310</p> <p style="MARGIN: 0px" align="left" text-align="left">6.5 Summary of Functions Introduced in Chapter 6 319</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 320</p> <p style="MARGIN: 0px" align="left" text-align="left">&nbsp;</p> <p style="MARGIN: 0px" align="left" text-align="left">7 3D Graphics 338</p> <p style="MARGIN: 0px" align="left" text-align="left">Edward B. Magrab</p> <p style="MARGIN: 0px" align="left" text-align="left">7.1 Lines in 3D 338</p> <p style="MARGIN: 0px" align="left" text-align="left">7.2 Surfaces 341</p> <p style="MARGIN: 0px" align="left" text-align="left">7.3 Summary of Functions Introduced in Chapter 7 369</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 370</p> <p style="MARGIN: 0px" align="left" text-align="left">&nbsp;</p> <p style="MARGIN: 0px" align="left" text-align="left">8 Engineering Statistics 377</p> <p style="MARGIN: 0px" align="left" text-align="left">Edward B. Magrab</p> <p style="MARGIN: 0px" align="left" text-align="left">8.1 Descriptive Statistical Quantities 377</p> <p style="MARGIN: 0px" align="left" text-align="left">8.2 Probability Distributions 383</p> <p style="MARGIN: 0px" align="left" text-align="left">8.2.1 Discrete Distributions 383</p> <p style="MARGIN: 0px" align="left" text-align="left">8.2.2 Continuous Distributions 387</p> <p style="MARGIN: 0px" align="left" text-align="left">8.3 Confidence Intervals 397</p> <p style="MARGIN: 0px" align="left" text-align="left">8.4 Hypothesis Testing 401</p> <p style="MARGIN: 0px" align="left" text-align="left">8.5 Linear Regression 404</p> <p style="MARGIN: 0px" align="left" text-align="left">8.5.1 Simple Linear Regression 404</p> <p style="MARGIN: 0px" align="left" text-align="left">8.5.2 Multiple Linear Regression 408</p> <p style="MARGIN: 0px" align="left" text-align="left">8.6 Design of Experiments 415</p> <p style="MARGIN: 0px" align="left" text-align="left">8.6.1 Single-Factor Experiments: Analysis of Variance 415</p> <p style="MARGIN: 0px" align="left" text-align="left">8.6.2 Multiple-Factor Factorial Experiments 419</p> <p style="MARGIN: 0px" align="left" text-align="left">8.7 Summary of Functions Introduced in Chapter 8 435</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 436</p> <p style="MARGIN: 0px" align="left" text-align="left">&nbsp;</p> <p style="MARGIN: 0px" align="left" text-align="left">9 Dynamics and Vibrations 445</p> <p style="MARGIN: 0px" align="left" text-align="left">Balakumar Balachandran</p> <p style="MARGIN: 0px" align="left" text-align="left">9.1 Dynamics of Particles and Rigid Bodies 446</p> <p style="MARGIN: 0px" align="left" text-align="left">9.1.1 Planar Pendulum 446</p> <p style="MARGIN: 0px" align="left" text-align="left">9.1.2 Orbital Motions 447</p> <p style="MARGIN: 0px" align="left" text-align="left">9.1.3 Principal Moments of Inertia 450</p> <p style="MARGIN: 0px" align="left" text-align="left">9.1.4 Stability of a Rigid Body 451</p> <p style="MARGIN: 0px" align="left" text-align="left">9.2 Single-Degree-of-Freedom Vibratory Systems 454</p> <p style="MARGIN: 0px" align="left" text-align="left">9.2.1 Introduction 454</p> <p style="MARGIN: 0px" align="left" text-align="left">9.2.2 Linear Systems: Free Oscillations 456</p> <p style="MARGIN: 0px" align="left" text-align="left">9.2.3 Linear Systems: Forced Oscillations 462</p> <p style="MARGIN: 0px" align="left" text-align="left">9.2.4 Nonlinear Systems: Free Oscillations 469</p> <p style="MARGIN: 0px" align="left" text-align="left">9.2.5 Nonlinear Systems: Forced Oscillations 478</p> <p style="MARGIN: 0px" align="left" text-align="left">9.3 Systems with Multiple Degrees of Freedom 481</p> <p style="MARGIN: 0px" align="left" text-align="left">9.3.1 Two-Degree-of-Freedom Systems: Free and Forced Oscillations 481</p> <p style="MARGIN: 0px" align="left" text-align="left">9.3.2 Natural Frequencies and Mode Shapes 495</p> <p style="MARGIN: 0px" align="left" text-align="left">9.4 Free and Forced Vibrations of Euler—Bernoulli and Timoshenko Beams 499</p> <p style="MARGIN: 0px" align="left" text-align="left">9.4.1 Natural Frequencies and Mode Shapes of Euler—Bernoulli and Timoshenko Beams 499</p> <p style="MARGIN: 0px" align="left" text-align="left">9.4.2 Forced Oscillations of Euler—Bernoulli Beams 509</p> <p style="MARGIN: 0px" align="left" text-align="left">9.5 Summary of Functions Introduced in Chapter 9 Exercises 513</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 514</p> <p style="MARGIN: 0px" align="left" text-align="left">&nbsp;</p> <p style="MARGIN: 0px" align="left" text-align="left">10 Control Systems 524</p> <p style="MARGIN: 0px" align="left" text-align="left">Gregory C. Walsh</p> <p style="MARGIN: 0px" align="left" text-align="left">10.1 Introduction to Control System Design 525</p> <p style="MARGIN: 0px" align="left" text-align="left">10.1.1 Tools for Controller Design 527</p> <p style="MARGIN: 0px" align="left" text-align="left">10.1.2 Naming and File Conventions 528</p> <p style="MARGIN: 0px" align="left" text-align="left">10.2 Representation of Systems in MATLAB 528</p> <p style="MARGIN: 0px" align="left" text-align="left">10.2.1 State—Space Models 530</p> <p style="MARGIN: 0px" align="left" text-align="left">10.2.2 Transfer-Function Representation 535</p> <p style="MARGIN: 0px" align="left" text-align="left">10.2.3 Discrete-Time Models 538</p> <p style="MARGIN: 0px" align="left" text-align="left">10.2.4 Block Diagrams and SIMULINK 542</p> <p style="MARGIN: 0px" align="left" text-align="left">10.2.5 Conversion Between Representations 546</p> <p style="MARGIN: 0px" align="left" text-align="left">10.3 Response of Systems 547</p> <p style="MARGIN: 0px" align="left" text-align="left">10.3.1 Estimating Response from Systems 548</p> <p style="MARGIN: 0px" align="left" text-align="left">10.3.2 Estimating Response from Poles and Zeros 551</p> <p style="MARGIN: 0px" align="left" text-align="left">10.3.3 Estimating Systems from Response 558</p> <p style="MARGIN: 0px" align="left" text-align="left">10.4 Design Tools 560</p> <p style="MARGIN: 0px" align="left" text-align="left">10.4.1 Design Criteria 561</p> <p style="MARGIN: 0px" align="left" text-align="left">10.4.2 Design Tools 564</p> <p style="MARGIN: 0px" align="left" text-align="left">10.5 Design Examples 573</p> <p style="MARGIN: 0px" align="left" text-align="left">10.5.1 Notch Control of a Flexible Pointer 574</p> <p style="MARGIN: 0px" align="left" text-align="left">10.5.2 PID Control of a Magnetic Suspension System 582</p> <p style="MARGIN: 0px" align="left" text-align="left">10.5.3 Lead Control of an Inverted Pendulum 589</p> <p style="MARGIN: 0px" align="left" text-align="left">10.5.4 Control of a Magnetically Suspended Flywheel 596</p> <p style="MARGIN: 0px" align="left" text-align="left">10.6 Summary of Functions Introduced in Chapter 10 605</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 606</p> <p style="MARGIN: 0px" align="left" text-align="left">&nbsp;</p> <p style="MARGIN: 0px" align="left" text-align="left">11 Fluid Mechanics 614</p> <p style="MARGIN: 0px" align="left" text-align="left">James H. Duncan</p> <p style="MARGIN: 0px" align="left" text-align="left">11.1 Hydrostatics 614</p> <p style="MARGIN: 0px" align="left" text-align="left">11.1.1 Pressure Distribution in the Standard Atmosphere 615</p> <p style="MARGIN: 0px" align="left" text-align="left">11.1.2 Force on a Planar Gate 616</p> <p style="MARGIN: 0px" align="left" text-align="left">11.2 Internal Viscous Flow 621</p> <p style="MARGIN: 0px" align="left" text-align="left">11.2.1 Laminar Flow in a Horizontal Pipe with Circular Cross Section 621</p> <p style="MARGIN: 0px" align="left" text-align="left">11.2.2 Downward Turbulent Flow in a Vertical Pipe 622</p> <p style="MARGIN: 0px" align="left" text-align="left">11.2.3 Three Connected Reservoirs 624</p> <p style="MARGIN: 0px" align="left" text-align="left">11.3 External Flow 626</p> <p style="MARGIN: 0px" align="left" text-align="left">11.3.1 Boundary Layer on an Infinite Plate Started Suddenly from Rest 626</p> <p style="MARGIN: 0px" align="left" text-align="left">11.3.2 Blasius Boundary Layer 628</p> <p style="MARGIN: 0px" align="left" text-align="left">11.3.3 Potential Flow 631</p> <p style="MARGIN: 0px" align="left" text-align="left">11.3.4 Joukowski Airfoils 636</p> <p style="MARGIN: 0px" align="left" text-align="left">11.4 Open Channel Flow 641</p> <p style="MARGIN: 0px" align="left" text-align="left">11.5 Biological Flows 646</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 648</p> <p style="MARGIN: 0px" align="left" text-align="left">&nbsp;</p> <p style="MARGIN: 0px" align="left" text-align="left">12 Heat Transfer 659</p> <p style="MARGIN: 0px" align="left" text-align="left">Keith E. Herold</p> <p style="MARGIN: 0px" align="left" text-align="left">12.1 Conduction Heat Transfer 660</p> <p style="MARGIN: 0px" align="left" text-align="left">12.1.1 Transient Heat Conduction in a Semi-Infinite Slab with Surface Convection 660</p> <p style="MARGIN: 0px" align="left" text-align="left">12.1.2 Transient Heat Conduction in an Infinite Solid Cylinder with Convection 662</p> <p style="MARGIN: 0px" align="left" text-align="left">12.1.3 Transient One-Dimensional Conduction with a Heat Source 664</p> <p style="MARGIN: 0px" align="left" text-align="left">12.2 Convection Heat Transfer 668</p> <p style="MARGIN: 0px" align="left" text-align="left">12.2.1 Internal Flow Convection: Pipe Flow 668</p> <p style="MARGIN: 0px" align="left" text-align="left">12.2.2 Thermal Boundary Layer on a Flat Plate: Similarity Solution 672</p> <p style="MARGIN: 0px" align="left" text-align="left">12.2.3 Natural Convection Similarity Solution 677</p> <p style="MARGIN: 0px" align="left" text-align="left">12.3 Radiation Heat Transfer 682</p> <p style="MARGIN: 0px" align="left" text-align="left">12.3.1 Radiation View Factor: Differential Area to Arbitrary Rectangle in Parallel Planes 682</p> <p style="MARGIN: 0px" align="left" text-align="left">12.3.2 View Factor Between Two Rectangles in Parallel Planes 685</p> <p style="MARGIN: 0px" align="left" text-align="left">12.3.3 Enclosure Radiation with Diffuse Gray Walls 687</p> <p style="MARGIN: 0px" align="left" text-align="left">12.3.4 Transient Radiation Heating of a Plate in a Furnace 690</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 692</p> <p style="MARGIN: 0px" align="left" text-align="left">&nbsp;</p> <p style="MARGIN: 0px" align="left" text-align="left">13 Optimization 702</p> <p style="MARGIN: 0px" align="left" text-align="left">Shapour Azarm</p> <p style="MARGIN: 0px" align="left" text-align="left">13.1 Definition, Formulation, and Graphical Solution 703</p> <p style="MARGIN: 0px" align="left" text-align="left">13.1.1 Introduction 703</p> <p style="MARGIN: 0px" align="left" text-align="left">13.1.2 Graphical Solution 703</p> <p style="MARGIN: 0px" align="left" text-align="left">13.2 Linear Programming 706</p> <p style="MARGIN: 0px" align="left" text-align="left">13.3 Binary Integer Programming 709</p> <p style="MARGIN: 0px">&nbsp;13.4 Nonlinear Programming: Unconstrained and Curve Fitting 710</p> <p style="MARGIN: 0px" align="left" text-align="left">13.4.1 Unconstrained Optimization 710</p> <p style="MARGIN: 0px" align="left" text-align="left">13.4.2 Curve Fitting: One Independent Variable 713</p> <p style="MARGIN: 0px" align="left" text-align="left">13.4.3 Curve Fitting: Several Independent Variables 715</p> <p style="MARGIN: 0px" align="left" text-align="left">13.5 Nonlinear Programming: Constrained Single Objective 719</p> <p style="MARGIN: 0px" align="left" text-align="left">13.5.1 Constrained Single-Variable Method 719</p> <p style="MARGIN: 0px" align="left" text-align="left">13.5.2 Constrained Multivariable Method 721</p> <p style="MARGIN: 0px" align="left" text-align="left">13.5.3 Quadratic Programming 730</p> <p style="MARGIN: 0px" align="left" text-align="left">13.5.4 Semi-Infinitely Constrained Method 732</p> <p style="MARGIN: 0px" align="left" text-align="left">13.6 Multiobjective Optimization 736</p> <p style="MARGIN: 0px" align="left" text-align="left">13.7 Genetic Algorithm-Based Optimization 742</p> <p style="MARGIN: 0px" align="left" text-align="left">13.8 Summary of Functions Introduced in Chapter 13 751</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 752</p> <p style="MARGIN: 0px" align="left" text-align="left">&nbsp;</p> <p style="MARGIN: 0px" align="left" text-align="left">14 Biological Systems: Transport of Heat, Mass, and Electric Charge 769</p> <p style="MARGIN: 0px" align="left" text-align="left">Keith E. Herold</p> <p style="MARGIN: 0px" align="left" text-align="left">14.1 Heat Transfer in Biological Systems 770</p> <p style="MARGIN: 0px" align="left" text-align="left">14.1.1 Heat Transfer in Perfused Tissue 770</p> <p style="MARGIN: 0px" align="left" text-align="left">14.1.2 Thermal Conductivity Determination 773</p> <p style="MARGIN: 0px" align="left" text-align="left">14.2 Mass Transfer in Biological Systems 775</p> <p style="MARGIN: 0px" align="left" text-align="left">14.2.1 Bicarbonate Buffer System 775</p> <p style="MARGIN: 0px" align="left" text-align="left">14.2.2 Carbon Dioxide Transport in Blood 778</p> <p style="MARGIN: 0px" align="left" text-align="left">14.2.3 Oxygen Transport in Blood 779</p> <p style="MARGIN: 0px" align="left" text-align="left">14.2.4 Perfusion Bioreactor 782</p> <p style="MARGIN: 0px" align="left" text-align="left">14.2.5 Supply of Oxygen to a Spherical Tumor 786</p> <p style="MARGIN: 0px" align="left" text-align="left">14.2.6 Krogh Cylinder Model of Tissue Oxygenation 789</p> <p style="MARGIN: 0px" align="left" text-align="left">14.3 Charge Transport in Biological Systems 796</p> <p style="MARGIN: 0px" align="left" text-align="left">14.3.1 Hodgkin—Huxley Neuron Model 796</p> <p style="MARGIN: 0px" align="left" text-align="left">14.3.2 Hodgkin—Huxley Gating Parameters 797</p> <p style="MARGIN: 0px" align="left" text-align="left">14.3.3 Hodgkin—Huxley Model with Step Function Input 802</p> <p style="MARGIN: 0px" align="left" text-align="left">14.3.4 Action Potential 804</p> <p style="MARGIN: 0px" align="left" text-align="left">Exercises 807</p> <p style="MARGIN: 0px" align="left" text-align="left">Index</p>

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