Mixed convection boundary layer flow past vertical flat plate in nanofluid: case of prescribed wall heat flux

doi:10.1007/s10483-015-1967-7

摘要/Abstract

摘要： An analysis is carried out to investigate the steady mixed convection boundary layer flow of a water based nanofluid past a vertical semi-infinite flat plate. Using an appropriate similarity transformation, the governing partial differential equations are transformed into the coupled, nonlinear ordinary (similar) differential equations, which are then solved numerically for the Prandtl number Pr=6.2. The skin friction coefficient, the local Nusselt number, and the velocity and temperature profiles are presented graphically and discussed. Effects of the solid volume fraction φ and the mixed convection parameter λ on the fluid flow and heat transfer characteristics are thoroughly examined. Different from an assisting flow, it is found that the solutions for an opposing flow are non-unique. In order to establish which solution branch is stable and physically realizable in practice, a stability analysis is performed.

关键词: heat flux, dual solution, Nanofluid, mixed convection, boundary layer

Abstract: An analysis is carried out to investigate the steady mixed convection boundary layer flow of a water based nanofluid past a vertical semi-infinite flat plate. Using an appropriate similarity transformation, the governing partial differential equations are transformed into the coupled, nonlinear ordinary (similar) differential equations, which are then solved numerically for the Prandtl number Pr=6.2. The skin friction coefficient, the local Nusselt number, and the velocity and temperature profiles are presented graphically and discussed. Effects of the solid volume fraction φ and the mixed convection parameter λ on the fluid flow and heat transfer characteristics are thoroughly examined. Different from an assisting flow, it is found that the solutions for an opposing flow are non-unique. In order to establish which solution branch is stable and physically realizable in practice, a stability analysis is performed.

Key words: dual solution, mixed convection, Nanofluid, heat flux, boundary layer

中图分类号:

O373

R. TRÎMBIŢAŞ, T. GROSAN, I. POP. Mixed convection boundary layer flow past vertical flat plate in nanofluid: case of prescribed wall heat flux[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(8): 1091-1104.

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