Numerical study of heat transfer of a third grade viscoelastic fluid in non-Darcy porous media with thermophysical effects

Physica Scripta

Volumn 77, Issue 6, 2008, Pages

  Bég, O Anwar ^a,e   Takhar, H S ^b   Bhargava, R ^c   Rawat, S ^c   Prasad, V R ^d  

^a BAE Systems Saudi Arabia   (Saudi Arabia)

^b MANCHESTER METROPOLITAN UNIVERSITY   (United Kingdom)

^c INDIAN INSTITUTE OF TECHNOLOGY ROORKEE   (India)

^d MADANAPALLE INSTITUTE OF TECHNOLOGY AND SCIENCE   (India)

^e Civil Engineering Program   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY ELEMENT METHOD; BOUNDARY VALUE PROBLEMS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); FINITE ELEMENT METHOD; FLUID DYNAMICS; FLUID MECHANICS; HEAT EXCHANGERS; HEAT TRANSFER; HEATING EQUIPMENT; LINEAR EQUATIONS; MATHEMATICAL MODELS; NEWTONIAN FLOW; NEWTONIAN LIQUIDS; NON NEWTONIAN FLOW; NUMERICAL ANALYSIS; NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS; POROUS MATERIALS; SEDIMENTATION; SPEED; THERMOANALYSIS;

CO-ORDINATE SYSTEMS; FINITE ELEMENT (FE); HEAT CONSERVATION; INFINITE POROUS PLATE; MOMENTUM EQUATIONS; NON DARCY POROUS MEDIA; NON LINEAR MECHANICS; NON-NEWTONIAN FLUIDS; NUMERICAL SOLUTIONS; NUMERICAL STUDIES; ONE-DIMENSIONAL; POROUS MEDIUMS; SECOND ORDERS; THIRD-ORDER; VISCO-ELASTIC FLUIDS;

MATHEMATICAL TRANSFORMATIONS;

EID: 47549101855     PISSN: 00318949     EISSN: 14024896     Source Type: Journal    
DOI: 10.1088/0031-8949/77/06/065402     Document Type: Article

References (23)

1. Shenoy A V 1994 Non-Newtonian fluid heat transfer in porous media Adv. Heat Transfer 24 101-90
2. Chen T and Chen C K 1988 Free convection of non-Newtonian fluids along a vertical plate embedded in a porous medium ASME J. Heat Transfer 110 257-60
3. Shenoy A V 1992 Darcy-Forchheimer natural, forced and mixed convection heat transfer in non-Newtonian power-law fluid-saturated porous media Transp. Porous Media 11 219-41
4. Nakayama A 1993 Free convection about a horizontal line heat source in a power-law fluid-saturated porous medium Int. J. Heat Fluid Flow 14
5. Bég O A, Takhar H S, Kumari M and Nath G 2001 Computational fluid dynamics modelling of buoyancy-induced viscoelastic flow in a porous medium with magnetic field effects Int. J. Appl. Mech. Eng. 6 187-210
6. Man C S 1992 Nonsteady channel flow of ice as a modified second-order fluid with power-law viscosity Arch. Ration. Mech. Anal. 119 35-57
7. Fosdick R L and Rajagopal K R 1980 Thermodynamics and stability of fluids of third grade Proc. R. Soc. A 369 351-77
8. Hayat T, Wang Y, Siddiqui A M, Hutter K and Asghar S 2002 Peristaltic transport of a third-order fluid in a circular cylindrical tube Math. Models Methods Appl. Sci. 12 1691-706
9. Tigoiu V 1987 Wave propagation and thermodynamics for third grade fluids St. Cerc. Mat. 39 279-348
10. Massoudi M and Christie I 1993 Heat transfer and flow of a third grade fluid in a pipe Math. Model. Sci. Comput. 2 1275
11. Majhi S N and Nair V R 1994 Pulsatile flow of third grade fluids under body acceleration-modeling blood flow Int. J. Eng. Sci. 32 839-46
12. Tigoiu V 1995 The flow of a third grade fluid between two coaxial rotating discs with heat transfer Rev. Roumaine Math. Pures Appl. 40
13. Massoudi M and Christie I 1995 Effects of variable viscosity and viscous dissipation on the flow of a 3rd grade fluid in a pipe Int. J. Non-Linear Mech. 30 687-99
14. Passerini A and Videman J H 1995 Decay in time of kinetic energy of second- and third-grade fluids in unbounded domains Trends in Applications of Mathematics to Mechanics (Pitman Monographs and Surveys in Pure and Applied Mathematics) ed M M Marques and J F Rodrigues (Harlow, UK: Longman) pp 195-208
15. Sequeira A and Videman J H 1995 Global existence of classical solutions for the equations of third grade fluids J. Math. Phys. Sci. 29 47-69
16. Akyildiz F T 2001 A note on the flow of a third-grade between heated parallel plates Int. J. Non-Linear Mech. 36 349-52
17. Busuioc V and Iftmie D 2004 Global existence and uniqueness of solutions for the equations of third grade fluids Int. J. Non-Linear Mech. 39 1-12
18. Bég O A, Bhargava R, Rawat S, Takhar H S and Bég T A 2007 Numerical modeling of Non-Newtonian third grade viscoelastic flow in a Darcian porous medium with lateral mass flux effects: finite element solutions submitted
19. Takhar H S, Bhargava R, Rawat S, Bég T A and Bég O A 2007 Finite element modeling of laminar flow of a third grade fluid in a Darcy-Forchheimer porous medium suction effects Int. J. Appl. Mech. Eng. 12 215-33
20. Takhar H S, Rawat S and Bég O A 2007 Viscous dissipation effects on third grade convection in non-Darcian regime: Finite element study Appl. Thermal Eng. in preparation
21. Reddy J N 1985 An Introduction to the Finite Element Method (New York: McGraw-Hill)
22. Bathe K J 1996 Finite Element Procedures (Englewood Cliffs, NJ: Prentice-Hall)
23. Connor J J and Brebbia C 1976 Finite Element Techniques for Fluid Flow (Oxford: Pergamon)