Nonsimilar, laminar, steady, electrically-conducting forced convection liquid metal boundary layer flow with induced magnetic field effects
International Journal of Thermal Sciences, 2009•Elsevier
A nonsimilar steady laminar boundary layer model is described for the hydromagnetic
convection flow of a Newtonian, electrically-conducting liquid metal past a translating, non-
conducting plate with a magnetic field aligned with the plate direction. The non-dimensional
boundary layer equations are solved with the Sparrow–Quack–Boerner local nonsimilarity
method (LNM). An increase in magnetic Prandtl number (Prm) is found to strongly enhance
wall heat transfer rate (NuxRex− 1/2), velocity (f′) and induced magnetic field function (g) …
convection flow of a Newtonian, electrically-conducting liquid metal past a translating, non-
conducting plate with a magnetic field aligned with the plate direction. The non-dimensional
boundary layer equations are solved with the Sparrow–Quack–Boerner local nonsimilarity
method (LNM). An increase in magnetic Prandtl number (Prm) is found to strongly enhance
wall heat transfer rate (NuxRex− 1/2), velocity (f′) and induced magnetic field function (g) …
A nonsimilar steady laminar boundary layer model is described for the hydromagnetic convection flow of a Newtonian, electrically-conducting liquid metal past a translating, non-conducting plate with a magnetic field aligned with the plate direction. The non-dimensional boundary layer equations are solved with the Sparrow–Quack–Boerner local nonsimilarity method (LNM). An increase in magnetic Prandtl number (Prm) is found to strongly enhance wall heat transfer rate (NuxRex−1/2), velocity (f′) and induced magnetic field function (g), but exerts negligible influence on the temperature (θ) in the boundary layer. A rise in magnetic force number (β) increases velocity, f′, shear stress function, f″, and wall heat transfer gradient, i.e. NuxRex−1/2, but reduces magnetic field function, g and temperature, θ. Increasing ordinary Prandtl number (Pr), decreases temperature, θ, but increases wall heat transfer rate (NuxRex−1/2). An increase in wall to free stream velocity ratio parameter, ζ, increases flow velocity, f′, and induced magnetic field gradient, g′ for small ξ but reduces g′ for larger ξ, and also boosts the wall temperature gradient, NuxRex−1/2. The model has potential applications in astronautical magneto-thermo-aerodynamics, nuclear reactor channel flow control with magnetic fields and MHD (magnetohydrodynamic) energy generators.
Elsevier
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