APPARENT ENTROPY PRODUCTION DIFFERENCE WITH HEAT AND FLUID FLOW IRREVERSIBILITIES

An entropy-based procedure is presented to assess the solution accuracy in heat transfer problems with fluid flow using the second law of thermodynamics. The procedure is implemented by a control-volume-based finite-element formulation for discrete equations arising from the conservation laws and the second law. The study involves a comparison of the local entropy production rates computed from two forms of the discretized entropy equation. The computed local entropy production for two heat transfer problems, using the positive-definite and the transport forms of the entropy generation equation, agrees well with analytical solutions. It is demonstrated by the results of the numerical studies that there exists a relationship between a newly defined parameter, called the apparent error in entropy production, and the solution error in the computed value of the scalar in each control volume.

[1]  Aaas News,et al.  Book Reviews , 1893, Buffalo Medical and Surgical Journal.

[2]  A. Bejan.  A Study of Entropy Generation in Fundamental Convective Heat Transfer , 1979 .

[3]  G. F. Naterer,et al.  PREDICTIVE ENTROPY BASED CORRECTION OF PHASE CHANGE COMPUTATIONS WITH FLUID FLOW - PART 1: SECOND LAW FORMULATION , 2000 .

[4]  G. Naterer,et al.  Second Law formulation for a stable velocity-temperature coupling in computational fluid flow , 1999 .

[5]  Jose A. Camberos,et al.  Nonlinear Time-Step Constraints Based on the Second Law of Thermodynamics , 1999 .

[6]  M. K. Drost,et al.  Numerical predictions of local entropy generation in an impinging jet , 1989 .

[7]  Chin-Hsiang Cheng,et al.  Numerical predictions of entropy generations for mixed convective flows in a vertical channel with transverse fin array , 1994 .

[8]  G. F. Naterer,et al.  Constructing an Entropy-Stable Upwind Scheme for Compressible Fluid Flow Computations , 1999 .

[9]  Patrick H. Oosthuizen,et al.  An Introduction to Convective Heat Transfer Analysis , 1998 .

[10]  M. Merriam.  An Entropy-Based Approach to Nonlinear Stability , 1989 .

[11]  A. Baytaş,et al.  Optimization in an Inclined Enclosure for Minimum Entropy Generation in Natural Convection , 1997 .

[12]  G. F. Naterer,et al.  Use of the Second Law for Artificial Dissipation in Compressible Flow Discrete Analysis , 1994 .

[13]  G. Naterer,et al.  The role of entropy and the second law in computational thermofluids , 2001 .

[14]  G T Polley,et al.  Heat transfer and fluid flow , 1976 .

[15]  B. Argrow,et al.  Entropy production in finite-difference schemes , 1993 .

[16]  A. Baytaş.  Entropy generation for natural convection in an inclined porous cavity , 2000 .

[17]  Enrico Sciubba,et al.  Calculating entropy with CFD , 1997 .