Most of the methods available to evaluate convection in literature are based either on heat transfer modelling between two infinite parallel plates or heat transfer in a square cavity.
Does reliance on such models accurate? or modelling heat transfer in a trapezoidal cavity must be done by some other method?
There are many other methods for evaluating the convective heat transfer in cavities, for example:
Cylindrical cavities: Evans and Stefany (1)
Spherical cavities: F. Kreith (1)
Consult:
(1) DONALD R. Pitts, Leighton E. Sissom, THEORY AND PROBLEMS OF HEAT TRANSFER, Second Edition, ISBN 0-07-OSO207-2, New York: McGraw-Hill, 1997.
(2) Eduardo Cao, Transferencia de calor en ingeniería de procesos, First Edition, ISBN 98743-8620-7, December 2004.
(3) F. P. Incropera, D. P. DeWitt, Fundamentals of Heat and Mass Transfer, Fourth Edition, ISBN 0-471-30460-3, John Wiley and Sons, 1996.
There are many other methods for evaluating the convective heat transfer in cavities, for example:
Cylindrical cavities: Evans and Stefany (1)
Spherical cavities: F. Kreith (1)
Consult:
(1) DONALD R. Pitts, Leighton E. Sissom, THEORY AND PROBLEMS OF HEAT TRANSFER, Second Edition, ISBN 0-07-OSO207-2, New York: McGraw-Hill, 1997.
(2) Eduardo Cao, Transferencia de calor en ingeniería de procesos, First Edition, ISBN 98743-8620-7, December 2004.
(3) F. P. Incropera, D. P. DeWitt, Fundamentals of Heat and Mass Transfer, Fourth Edition, ISBN 0-471-30460-3, John Wiley and Sons, 1996.
Hello,
For the numerical method, I think you can choose Finite Element method to simulate the heat transfer. Finite element is very flexiable on different domain structures. there are a lot open source library available.
If you are asking what kind of the heat transfer model is the best? I don't know the answer. It depends on different situations.
Best,
-XX
Look of my book "Conjugate problems of convective heat transfer" where you may fined enough examples that you need.
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