Computing and Simulation for Engineers

12 Differential Equations of Thermodynamics

Achintya Kumar Pramanick

National Institute of Technology, Durgapur

DOI: 10.1201/9781003222255-12

CONTENTS

1. 12.1 Motivation
2. 12.2 Introduction
3. 12.3 Bejan’s Constructal Law
4. 12.4 Law of Motive Force
5. 12.5 Reynolds Transport Theorem
6. 12.6 Momentum Theorem
7. 12.7 First Law of Thermodynamics
8. 12.8 Second Law of Thermodynamics
9. 12.9 Gouy–Stodola Theorem
10. 12.10 Patankar–Spalding-Type Differential Equation
11. 12.11 Conservation of Chemical Species
12. 12.12 Continuity Equation
13. 12.13 Navier–Stokes Equations
14. 12.14 Energy Conservation Equation
15. 12.15 The k – ε Turbulence Model
16. 12.16 Conclusions
17. References

12.1 Motivation

The search for a generalized formulation is eternal. A theory, a formulation, or a concept that is ...