×

Radiation effect on temperature distribution in three-dimensional couette flow with suction or injection. (English) Zbl 1231.76096

Summary: A theoretical analysis of three-dimensional Couette flow with radiation effect on temperature distribution has been analysed, when the injection of the fluid at the lower stationary plate is a transverse sinusoidal one and its corresponding removal by constant suction through the upper porous plate is in uniform motion. Due to this type of injection velocity, the flow becomes three-dimensional. The effect of Prandtl number, radiation parameter and injection parameter on rate of heat transfer has been examined by the help of graphs. The Prandtl number has a much greater effect on the temperature distribution than the injection or radiation parameter.

MSC:

76D99 Incompressible viscous fluids
76D05 Navier-Stokes equations for incompressible viscous fluids
80A99 Thermodynamics and heat transfer
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Eckert E R. Heat and mass transfer[M]. New York: McGraw Hill, 1958.
[2] Lachmann G V. Boundary layer and flow control. Its principle and applications[M]. Vols I and II. New York: Pergamon Press, 1961. · Zbl 0100.38503
[3] Gersten K, Gross J F. Flow and heat transfer along a plane wall with periodic suction[J]. ZAMP, 1974, 25(3):399–408. · Zbl 0286.76021 · doi:10.1007/BF01594956
[4] Singh P, Sharma V P, Misra U N. Three dimensional free convection flow and heat transfer along a porous vertical plate[J]. Appl Sci Res, 1978, 34(1):105–115. · Zbl 0382.76073 · doi:10.1007/BF00389279
[5] Singh P, Sharma V P, Misra U N. Three dimensional fluctuating flow and heat transfer along a plate with suction[J]. Int J Heat Mass Transfer, 1978, 21:1117–1123. · Zbl 0384.76069 · doi:10.1016/0017-9310(78)90110-2
[6] Singh K D. Hydromagnetic effects on the three-dimensional flow past a porous plate[J]. ZAMP, 1990, 41(3):441–446. · Zbl 0706.76136 · doi:10.1007/BF00959991
[7] Singh K D. Three dimensional viscous flow and heat transfer along a porous plate[J]. ZAMM, 1993, 73:58–61. · Zbl 0798.76016 · doi:10.1002/zamm.19930730119
[8] Singh K D. Three dimensional Couette flow with transpiration cooling[J]. ZAMP, 1999, 50(4):661–668. · Zbl 0930.76020 · doi:10.1007/s000330050171
[9] Chaudhary R C, Sharma Bhupendra Kumar. Injection and suction effects on three dimensional unsteady flow and heat transfer between two parallel porous plates[J]. Matematicas, 2003, 11(1/2):45–55. · Zbl 1138.76434
[10] Singh K D. Unsteady free convective flow past a hot vertical porous plate with variable temperature[J]. Proc Indian Natn Sci Acad, 1992, 58,A(6) 537–544. · Zbl 0847.76080
[11] Soundalgekar V M, Wavre P D. Unsteady free convective flow past an infinite vertical plate with constant suction and mass transfer[J]. Int J Heat Mass Transfer, 1977, 20:1363–1373. · Zbl 0383.76071 · doi:10.1016/0017-9310(77)90033-3
[12] Hassan A M El-Arabawy. Effect of suction/injection on the flow of a micropolar fluid past a continuously moving plate in the presence of radiation[J]. Int J Heat Mass Transfer, 2003, 46(8):1471–1477. · Zbl 1025.76001 · doi:10.1016/S0017-9310(02)00320-4
[13] Ghaly A Y, Elbarbary E M E. Radiation effect on MHD free-convection flow of a gas at a stretching surface with a uniform free stream[J]. J Appl Math, 2002, 2(2):93–103. · Zbl 1065.76601 · doi:10.1155/S1110757X02000086
[14] Raptis A, Perdikis C. Viscoelastic flow by the presence of radiation[J]. ZAMM, 1998, 78(4):277–279. · Zbl 0901.76002 · doi:10.1002/(SICI)1521-4001(199804)78:4<277::AID-ZAMM277>3.0.CO;2-F
[15] Seddeek M A. The effect of variable viscosity on hydromagnetic flow and heat transfer past a continuously moving porous boundary with radiation[J]. Int Comm Heat Mass Transfer, 2000, 27(7):1037–1046. · doi:10.1016/S0735-1933(00)00183-4
[16] Takhar H S, Gorla R S R, Soundalgekar V M. Radiation effects on MHD free convection flow of a radiating gas past a semi-infinite vertical plate[J]. Int J Numer Meth Heat Fluid Flow, 1996, 6(2):77–83. · Zbl 0969.76557 · doi:10.1108/EUM0000000004105
[17] Cogley A C, Vinceti W G, Gilles S E. Differential approximation for radiation transfer in a nongray near equilibrium[J]. AIAA, 1968, 6:551–553. · doi:10.2514/3.4538
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.