CLC number: O359
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 0000-00-00
Cited: 3
Clicked: 6521
Govindarajan A. , Ramamurthy V. , Sundarammal K.. 3D couette flow of dusty fluid with transpiration cooling[J]. Journal of Zhejiang University Science A, 2007, 8(2): 313-322.
@article{title="3D couette flow of dusty fluid with transpiration cooling",
author="Govindarajan A. , Ramamurthy V. , Sundarammal K.",
journal="Journal of Zhejiang University Science A",
volume="8",
number="2",
pages="313-322",
year="2007",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2007.A0313"
}
%0 Journal Article
%T 3D couette flow of dusty fluid with transpiration cooling
%A Govindarajan A.
%A Ramamurthy V.
%A Sundarammal K.
%J Journal of Zhejiang University SCIENCE A
%V 8
%N 2
%P 313-322
%@ 1673-565X
%D 2007
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2007.A0313
TY - JOUR
T1 - 3D couette flow of dusty fluid with transpiration cooling
A1 - Govindarajan A.
A1 - Ramamurthy V.
A1 - Sundarammal K.
J0 - Journal of Zhejiang University Science A
VL - 8
IS - 2
SP - 313
EP - 322
%@ 1673-565X
Y1 - 2007
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2007.A0313
Abstract: The couette dusty flow between two horizontal parallel porous flat plates with transverse sinusoidal injection of the dusty fluid at the stationary plate and its corresponding removal by constant suction through the plate in uniform motion was analyzed. Due to this type of injection velocity the dusty flow becomes 3D. Perturbation method is used to obtain the expressions for the velocity and temperature fields of both the fluid and dust. It was found that the velocity profiles of both the fluid and dust in the main flow direction decrease with the increase of the mass concentration of the dust particles, and those in cross flow direction increase with an increase in the mass concentration of the dust particles up to the middle of the channel and thereafter decrease with increase in mass concentration of the dust particles. The skin friction components Tx and Tz in the main flow and transverse directions respectively increase with an increase in the mass concentration of the dust particles (or) injection parameter. The heat transfer coefficient decreases with the increase of the injection parameter and increases with the increase in the mass concentration of the dust particles.
[1] Ahmed, N., Sharma, D., 1997. Three-dimensional free convection flow and heat transfer through a porous medium. Indian J. Pure Appl. Math., 26(10):1345-1353.
[2] Ahmed, S., Ahmed, N., 2004. Two dimensional magneto hydrodynamic oscillatory flow along a uniformly moving infinite vertical porous plate bounded by a porous medium. Indian J. Pure Appl. Math., 35(12):1309-1319.
[3] Dalal, D., 1992. Generalized couette flow of a dusty gas. Ind. Journal of Tech., 30:260-264.
[4] Debnath, L., Ghosh, A.K., 1988. On unsteady hydromagnetic flows of a dusty fluid between two oscillating plates. Appl. Sci. Res., 45(4):353-365.
[5] Eckert, E.R., 1958. Heat and Mass Transfer. McGraw Hill, New York.
[6] Gersten, K., Gross, J.F., 1974. Flow and heat transfer along a plane wall with periodic suction. J. Appl. Math. Phys. (ZAMP), 25(3):399-408.
[7] Miller, M., 1966. Plane parallel flow of a dust gas. Mathematika, 13:97-109.
[8] Nag, S.K., Jana, R.N., Datta, N., 1979. Couette flow of a dusty gas. Acta Mechanica, 33(3):179-187.
[9] Raptis, A., 1983. Unsteady free convective flow through a porous medium. Int. J. Engng. Sci., 21(4):345-348.
[10] Raptis, A., Perdikis, C.P., 1985. Osillatory flow through a porous medium by the presence of free convective flow. Int. J. Engng. Sci., 23(1):51-55.
[11] Saffman, P.G., 1962. On the stability of laminar flow of a dusty gas. J. Fluid Mech., 13(1):120-128.
[12] Singh, K.D., 1990. Hydromagnetic effects on the 3D flow past a porous plate. J. Appl. Math. Phys. (ZAMP), 41(3):441-446.
[13] Singh, K.D., 1991. 3D MHD oscillatory flow past a porous plate. J. Appl. Math. Mech. (ZAMM), 71:192-195.
[14] Singh, K.D., 1993. 3D viscous flow and heat transfer along a porous plate. J. Appl. Math. Mech. (ZAMM), 73:58-61.
[15] Singh, K.D., 1999. Three dimensional couette flow with transpiration cooling. J. Appl. Math. Phys. (ZAMP), 50(4):661-668.
[16] Singh, K.D., Verma, G.N., 1995. Three-dimensional oscillatory flow through a porous medium with periodic permeability. J. Appl. Math. Mech. (ZAMM), 75(8):599-604.
[17] Singh, P., Sharma, V.P., Misra, U.N., 1978a. 3D fluctuating flow and heat transfer along a plate with suction. Int. J. Heat Mass and Transfer, 21(8):1117-1123.
[18] Singh, P., Sharma, V.P., Misra, U.N., 1978b. 3D free convection flow and heat transfer along a porous vertical wall. Appl. Sci. Res., 34(1):105-115.
[19] Zung, L.B., 1969. Flow induced in fluid particle suspension by an infinite rotating disk. Physics of Fluids, 12(1):18-23.
Open peer comments: Debate/Discuss/Question/Opinion
<1>