Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Eckert E R. Heat and mass transfer[M]. New York: McGraw Hill, 1958.
Lachmann G V. Boundary layer and flow control. Its principle and applications[M]. Vols I and II. New York: Pergamon Press, 1961.
Gersten K, Gross J F. Flow and heat transfer along a plane wall with periodic suction[J]. ZAMP, 1974, 25(3):399–408.
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.
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.
Singh K D. Hydromagnetic effects on the three-dimensional flow past a porous plate[J]. ZAMP, 1990, 41(3):441–446.
Singh K D. Three dimensional viscous flow and heat transfer along a porous plate[J]. ZAMM, 1993, 73:58–61.
Singh K D. Three dimensional Couette flow with transpiration cooling[J]. ZAMP, 1999, 50(4):661–668.
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.
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.
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.
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.
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.
Raptis A, Perdikis C. Viscoelastic flow by the presence of radiation[J]. ZAMM, 1998, 78(4):277–279.
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.
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.
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.
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by GUO Xing-ming
Rights and permissions
About this article
Cite this article
Sharma, B.K., Agarwal, M. & Chaudhary, R.C. Radiation effect on temperature distribution in three-dimensional Couette flow with suction or injection. Appl Math Mech 28, 309–316 (2007). https://doi.org/10.1007/s10483-007-0304-z
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s10483-007-0304-z