Solving Direct and Inverse Heat Conduction Problems 1st Edition by Piotr Duda Jan Taler ISBN 354033470X 978-3540334705 by Jan Taler, Piotr Duda 9783540334705, 354033470X instant download after payment.

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Product details:

ISBN 10: 354033470X

ISBN 13: 978-3540334705 

Author: Piotr Duda Jan Taler 

This book is devoted to the concept of simple and inverse heat conduction problems. The process of solving direct problems is based on the tempera­ ture determination when initial and boundary conditions are known, while the solving of inverse problems is based on the search for boundary condi­ tions when temperature properties are known, provided that temperature is the function of time, at the selected inner points of a body. In the first part of the book (Chaps. 1-5), we have discussed theoretical basis for thermal conduction in solids, motionless liquids and liquids that move in time. In the second part of the book, (Chapters 6-26), we have discussed at great length different engineering problems, which we have presented together with the proposed solutions in the form of theoretical and mathematical examples. It was our intention to acquaint the reader in a step-by-step fashion with all the mathematical derivations and solutions to some of the more significant transient and steady-state heat conduction problems with respect to both, the movable and immovable heat sources and the phenomena of melting and freezing. Lots of attention was paid to non-linear problems. The methods for solving heat conduction problems, i. e. the exact and approximate analytical methods and numerical methods, such as the finite difference method, the finite volume method, the finite element method and the boundary element method are discussed in great detail. Aside from algorithms, applicable computational programs, written in a FORTRAN language, were given.

Table of contents:

1. Front Matter

2. Heat Conduction Fundamentals

3. Fourier Law

4. Mass and Energy Balance Equations

5. The Reduction of Transient Heat Conduction Equations and Boundary Conditions

6. Substituting Heat Conduction Equation by Two-Equations System

7. Variable Change

8. Exercises. Solving Heat Conduction Problems

9. Heat Transfer Fundamentals

10. Two-Dimensional Steady-State Heat Conduction. Analytical Solutions

11. Analytical Approximation Methods. Integral Heat Balance Method

12. Two-Dimensional Steady-State Heat Conduction. Graphical Method

13. Two-Dimensional Steady-State Problems. The Shape Coefficient

14. Solving Steady-State Heat Conduction Problems by Means of Numerical Methods

15. Finite Element Balance Method and Boundary Element Method

16. Transient Heat Exchange between a Body with Lumped Thermal Capacity and Its Surroundings

17. Transient Heat Conduction in Half-Space

18. Transient Heat Conduction in Simple-Shape Elements

19. Superposition Method in One-Dimensional Transient Heat Conduction Problems

20. Transient Heat Conduction in a Semi-Infinite Body. The Inverse Problem

21. Inverse Transient Heat Conduction Problems

22. Multidimensional Problems. The Superposition Method

23. Approximate Analytical Methods for Solving Transient Heat Conduction Problems

24. Finite Difference Method

25. Solving Transient Heat Conduction Problems by Means of Finite Element Method (FEM)

26. Numerical-Analytical Methods

27. Solving Inverse Heat Conduction Problems by Means of Numerical Methods

28. Heat Sources

29. Melting and Solidification (Freezing)

30. Back Matter

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