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Received: 2005-09-20

Revision Accepted: 2005-11-21

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Journal of Zhejiang University SCIENCE A 2006 Vol.7 No.3 P.340-346

http://doi.org/10.1631/jzus.2006.A0340


Three dimensional free convection couette flow with transpiration cooling


Author(s):  Jain N. C., Gupta P.

Affiliation(s):  Department of Mathematics, University of Rajasthan, Jaipur-302004, India; more

Corresponding email(s):   jainnc181@rediffmail.com

Key Words:  Couette flow, Free convection, Three-dimensional flow, Transpiration cooling, Transverse sinusoidal injection


Jain N. C., Gupta P.. Three dimensional free convection couette flow with transpiration cooling[J]. Journal of Zhejiang University Science A, 2006, 7(3): 340-346.

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T1 - Three dimensional free convection couette flow with transpiration cooling
A1 - Jain N. C.
A1 - Gupta P.
J0 - Journal of Zhejiang University Science A
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2006.A0340


Abstract: 
free convection flow between two vertical parallel plates with transverse sinusoidal injection of the fluid at the stationary plate and its corresponding removal by constant suction through the plate in uniform motion has been analyzed. Due to this type of injection velocity, the flow becomes three-dimensional. Analytical expressions for the velocity, temperature, skin friction and rate of heat transfer were obtained. The important characteristics of the problem, namely the skin friction and the rate of heat transfer are discussed in detail with the help of graphs.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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[7] Jain, N.C., Bansal, J.L., 1973. Couette flow with transpiration cooling when the viscosity of the fluid depends on temperature. Proc. Ind. Acad. Sci., LXXVII(A):184-200.

[8] Jain, N.C., Taneja, R., 2002. Unsteady MHD flow with radiation through porous medium in slip flow regime. Modelling, Measurement and Control B, 71(8):23-36.

[9] Jothimani, S., Anjali Devi, S.P., 2001. MHD couette flow with heat transfer and slip flow effects in an inclined channel. Journal of Mathematics, 43(1):47-62.

[10] Singh, K.D., 1999. Three-dimensional couette flow with transpiration cooling. Z. Angew. Math. Phys., 50(4):661-668.

[11] Singh, K.D., Sharma, R., 2002. Three-dimensional free convection flow and heat transfer through a porous medium with periodic permeability. Indian J. Pure Appl. Math., 3361:941-949.

[12] Singh, P., Mishra, J.K., Narayan, K.A., 1988. Three-dimensional convective flow and heat transfer in a porous medium. Indian J. Pure Appl. Math., 19:1130-1135.

[13] Street, R.E., 1960. A Study of Boundary Conditions in Slip Flow Aerodynamics in Rarefied Gas Dynamics. Pergamon Press, London.

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