Integral transform analysis of MHD flow and heat transfer in parallel-plates channels

International Communications in Heat and Mass Transfer

Volumn 34, Issue 4, 2007, Pages 420-431

  Lima, João A ^a   Quaresma, João N N ^b   Macêdo, Emanuel N ^b  

^a FEDERAL UNIVERSITY OF RIO GRANDE DO NORTE   (Brazil)

^b FEDERAL UNIVERSITY OF PARÁ   (Brazil)

Author keywords

Integral transforms; Internal forced convection; MHD flow

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FORCED CONVECTION; HEAT TRANSFER; INTEGRAL EQUATIONS; NEWTONIAN FLOW; PRESSURE GRADIENT;

GENERALIZED INTEGRAL TRANSFORM TECHNIQUE (GITT); PARALLEL-PLATES CHANNELS;

CHANNEL FLOW;

CHANNEL FLOW; CONVERGENCE OF NUMERICAL METHODS; FORCED CONVECTION; HEAT TRANSFER; INTEGRAL EQUATIONS; NEWTONIAN FLOW; PRESSURE GRADIENT;

EID: 34047223915     PISSN: 07351933     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.icheatmasstransfer.2007.01.008     Document Type: Article

References (22)

1. Tao L.N. Magnetohydrodynamic effects on the formation of Couette flow. Journal of the Aerospace Sciences 27 (1960) 334-338
2. Nigam S.D., and Singh S.N. Heat transfer by laminar flow between parallel plates under the action of transverse magnetic field. Quarterly Journal of Mechanics and Applied Mathematics 13 (1960) 85-97
3. Alpher R.A. Heat transfer in magnetohydrodynamic flow between parallel plates. International Journal of Heat and Mass Transfer 3 (1961) 108-112
4. Sutton G.W., and Sherman A. Engineering Magnetohydrodynamics (1965), McGraw-Hill, New York
5. Klemp K., Herwig H., and Selmann M. Entrance flow in a channel with temperature dependent viscosity including viscous dissipation effects. Proceedings of the Third International Congress of Fluid Mechanics, Cairo, Egypt (1990) 1257-1266
6. Attia H.A., and Kotb N.A. MHD flow between two parallel plates with heat transfer. Acta Mechanica 117 (1996) 215-220
7. Rao P.S., and Rao J.A. Numerical solution of non-steady magnetohydrodynamic flow of blood through a porous channel. Journal of Biomedical Engineering 10 (1988) 293-295
8. Attia H.A. Transient MHD flow and heat transfer between two parallel plates with temperature dependent viscosity. Mechanics Research Communications 26 (1999) 115-121
9. Alchaar S., Vasseur P., and Bilgen E. Hydromagnetic natural convection in a titled rectangular porous enclosure. Numerical Heat Transfer. Part A, Applications 27 1 (1996) 107-127
10. Bian W., Vasseur P., and Bilgen E. Effect of an external magnetic field on buoyancy-driven flow in a shallow porous cavity. Numerical Heat Transfer. Part A, Applications 29 6 (1996) 538-625
11. Aldoss T.K., Ali Y.D., and Al-Nimr M.A. MHD mixed convection from a horizontal circular cylinder. Numerical Heat Transfer. Part A, Applications 30 4 (1996) 379-396
12. Gonçalves E., Faghri M., Asako Y., and Charmchi M. Numerical solution of melting in side-heated rectangular enclosure under electromagnetically simulated low gravity. Numerical Heat Transfer. Part A, Applications 47 4 (2005) 315-332
13. Borjini M.N., Kolsi L., Daous N., and Aissia H.B. Hydromagnetic double-diffusive laminar natural convection in a radiatively participating fluid. Numerical Heat Transfer. Part B, Fundamentals 50 2 (2005) 483-506
14. Cotta R.M. Hybrid numerical/analytical approach to nonlinear diffusion problems. Numerical Heat Transfer. Part B, Fundamentals 17 2 (1990) 217-226
15. Leiroz A.J.K., and Cotta R.M. On the solution of nonlinear elliptic convection-diffusion problems through the integral transform method. Numerical Heat Transfer. Part B, Fundamentals 23 4 (1993) 401-411
16. Cotta R.M. Integral Transforms in Computational Heat and Fluid Flow (1993), CRC Press, Boca Raton, USA
17. Cotta R.M. Benchmark results in computational heat and fluid flow: - the integral transform method (invited paper). International Journal of Heat and Mass Transfer 37 suppl. 1 (1994) 381-393
18. Figueira da Silva E., and Cotta R.M. Mixed convection within vertical parallel plates: hybrid solution by integral transforms. Numerical Heat Transfer. Part A, Applications 33 1 (1998) 85-106
19. Cotta R.M. The Integral Transform Method in Thermal and Fluid Sciences and Engineering (1998), Begell House, New York, USA
20. Santos C.A.C., Quaresma J.N.N., and Lima J.A. Benchmark Results for Convective Heat Transfer in Ducts: - the Integral Transform Approach, E-Papers, Rio de Janeiro, Brazil (2001)
21. Cotta R.M., and Mikhailov M.D. Hybrid methods and symbolic computations. In: Minkowycz W.J., Sparrow E.M., and Murthy J.Y. (Eds). Handbook of Numerical Heat Transfer. 2nd edition (2006), John Wiley, New York 493-522 Chapter 16
22. IMSL MATH/LIBRARY. User's Manual, Version 2.0 (1991), IMSL, Houston