Heat Transfer with Viscous Dissipation in Couette-Poiseuille Flow under Asymmetric Wall Heat Fluxes

J. Sheela-Francisca, C. P. Tso, Dirk Rilling

Faculty of Engineering & Technology, Multimedia University, Jalan Ayer Keroh Lama, Melaka, Malaysia.
Faculty of Engineering, Multimedia University, Cyberjaya, Malaysia.
School of Mechanical & Aerospace Engineering, Nanyang Technological University, Singapore City, Singapore.

DOI: 10.4236/ojfd.2012.24011                

Abstract

Analytical solutions of temperature distributions and the Nusselt numbers in forced convection are reported for flow through infinitely long parallel plates, where the upper plate moves in the flow direction with constant velocity and the lower plate is kept stationary. The flow is assumed to be laminar, both hydro-dynamically and thermally fully developed, taking into account the effect of viscous dissipation of the flowing fluid. Both the plates being kept at specified and at different constant heat fluxes are considered as thermal boundary conditions. The solutions obtained from energy equation are in terms of Brinkman number, dimensionless velocity and heat flux ratio. These parameters greatly influence and give complete understanding on heat transfer rates that has potentials for designing and analyzing energy equipment and processes.

Keywords

Viscous Dissipation; Couette-Poiseuille Flow; Newtonian Fluid; Nusselt Number; Brinkman Number; Constant Heat-Flux

Conflicts of Interest

The authors declare no conflicts of interest.

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