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1 (p1): 1 Introduction 1 (p1-1): 1.1 Thermal Transport 3 (p1-2): 1.2 Mass Transfer and Fluid Flow 4 (p1-3): 1.3 An Example 6 (p1-4): 1.4 Importance of Analytical and Experimental Methods 9 (p1-5): 1.5 Numerical Approach 12 (p1-6): 1.6 Basic Considerations in a Numerical Solution 15 (p1-7): 1.7 Outline and Scope of the Book 17 (p1-8): References 19 (p2): Part 1 Mathematical Background 21 (p2-1): 2 Governing Equations 21 (p2-1-1): 2.1 Classification 23 (p2-1-2): 2.2 Representative Differential Equations from Heat Transfer and Fluid Flow 26 (p2-1-3): 2.3 Boundary and Initial Conditions 28 (p2-1-4): 2.4 Integral Forms 31 (p2-1-5): 2.5 Numerical Solution 31 (p2-1-5-1): 2.5.1 Basic Equations 33 (p2-1-5-2): 2.5.2 Different Approaches 34 (p2-1-6): References 35 (p2-1-7): Problems 37 (p2-2): 3 Finite Differences 39 (p2-2-1): 3.1 Basic Concepts 39 (p2-2-1-1): 3.1.1 Direct Approximation Approach 41 (p2-2-1-2): 3.1.2 Polynomial Representation 44 (p2-2-1-3): 3.1.3 Taylor Series Approach and Accuracy 48 (p2-2-1-4): 3.1.4 Control Volume Approach and Conservation 50 (p2-2-1-5): 3.1.5 Numerical Considerations 51 (p2-2-1-5-1): 3.1.5.1 Total Truncation Error 52 (p2-2-1-5-2): 3.1.5.2 Discretization an

Author

Kenneth E.Torrance

Publisher

Taylor & Francis

Published

2003

Language

EN