Viscous Dissipation and Buoyancy Effects on Laminar Convection in a Vertical Channel with Transpiration
About this article
Abstract
The viscous dissipation and buoyancy effects on laminar convection with transpiration are investigated. Uniform and asymmetric temperatures are prescribed at the channel walls. The velocity field is considered as parallel. A perturbation method is employed to solve the momentum balance equation and the energy balance equation. A comparison with the velocity and temperature profiles in the case of laminar forced convection with various dissipation is performed in order to point out the effect of buoyancy. The case of convective boundary condition is also discussed.
References
[1] Aung W. (1987): Mixed Convection in Internal Flow. Handbook of Single – Phase Convective Heat Transfer. New York; Wiley. Chap 15.
[2] Aung W. and Worku G. (1986): Developing Flow of Flow Reversal with Asymmetric Wall Temperatures. ASME Journal of Heat Transfer; 108: 299 – 304.
[3] Aung W. and Worku G. (1987): Mixed Convection in Ducts with Asymmetric Wall Heat Fluxes. ASME Journal of Heat Transfer; 109: 947 – 51.
[4] Aung W. and Worku G. (1986): Theory of Fully Developed, Combined Convection including Flow Reversal. ASME Journal of Heat Transfer; 108: 485 – 488.
[5] Aziz A. and Na T.Y (1984): Perturbation Methods in Heat Transfer, 1st ed. New York; Hemisphere.
View more references (8)
[6] Barletta A. (1998): Laminar Convection in a Vertical Plate Channel with Viscous Dissipation and Buoyancy Effects, Int. J. Heat and Mass Transfer, 52, 3501 – 3513.
[7] Barletta A. and Nield D.A. (2009): Laminar Flow in a Square Lid – Driven Enclosure, Int. J. Heat and Mass Transfer, 52, 4244 – 4253.
[8] Berardi P.G., Cuccurullu G., Acierno D. and Russo P. (1995): Viscous Dissipation in Duct Flow of Molten Polymers, Proceedinds of Eurotherm Seminar, 46, 39 – 43.
[9] Cheng C.H., Kou H.S. and Huang W.H. (1990): Flow Reversal and Heat Transfer of Fully Developed Mixed Convection in Vertical Channels. Journal of Thermophysics and Heat Transfer; 4: 375 – 83.
[10] Hamadah T.T. and Wirtz W.H. (1991): Anylisis of Laminar Fully Developed Mixed Convection in a Vertical Channel with Opposing Buoyancy. ASME Journal of Heat Transfer; 113: 507 – 10.
[11] Ingham D.B., Keen D.J. and Heggs P.J. (1988): Flows in Vertical Channels with Asymmetric Wall Temperatures including Situations where the Flows Occurs; ASME Journal of Heat Transfer, 110, 910 – 917.
[12] Iqbal M., Aggarwala B.D. and Rokerya M.S. (1970): Fully Developed Combined Forced and Free Convection in a Vertical Circular Tube with Uniform Boundary Heat Flux. ASME Journal of Applied Mechanics, 37, 931.
[13] Tao L.N. (1960): On Combined Free and Forced Convection in Channels. ASME Journal of Heat Transfer, 82: 233 – 8.