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 (NuxRe
−1/2
x ), 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. NuxRe
−1/2
x , but reduces magnetic field function, g and temperature,
θ. Increasing ordinary Prandtl number (Pr), decreases temperature, θ, but increases wall heat transfer
rate (NuxRe
−1/2
x ). 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, NuxRe
−1/2
x . The model has potential applications in astronautical
magneto-thermo-aerodynamics, nuclear reactor channel flow control with magnetic fields and MHD
(magnetohydrodynamic) energy generators.