Beg, OA 
ORCID: https://orcid.org/0000-0001-5925-6711, Beg, TA, Karim, I, Khan, MS, Alam, MM, Ferdows, M and Shamshuddin, MD
2019,
'Numerical study of magneto-convective heat and mass transfer from inclined surface with Soret diffusion and heat generation effects : a model for ocean magnetohydrodynamics energy generator fluid dynamics'
, Chinese Journal of Physics, 60 (Aug 19)
, pp. 167-179.
Abstract
A mathematical model is developed for steady state magnetohydrodynamic (MHD) heat and
mass transfer flow along an inclined surface in an ocean MHD energy generator device with
heat generation and thermo-diffusive (Soret) effects. The governing equations are
transformed into nonlinear ordinary differential equations with appropriate similarity
variables. The emerging two-point boundary value problem is shown to depend on six
dimensionless thermophysical parameters - magnetic parameter, Grashof number, Prandtl
number, modified Prandtl number, heat source parameter and Soret number in addition to
plate inclination. Numerical solutions are obtained for the nonlinear coupled ordinary
differential equations for momentum, energy and salinity (species) conservation, numerically,
using the Nachtsheim-Swigert shooting iteration technique in conjunction with the Runge-
Kutta sixth order iteration scheme. Validation is achieved with Nakamura’s implicit finite
difference method. Further verification is obtained via the semi-numerical Homotopy
analysis method (HAM). With an increase in magnetic parameter, skin friction is depressed
whereas it generally increases with heat source parameter. Salinity magnitudes are
significantly reduced with increasing heat source parameter. Temperature gradient is
decreased with Prandtl number and salinity gradient (mass transfer rate) is also reduced with
modified Prandtl number. Furthermore, the flow is decelerated with increasing plate
inclinations and temperature also depressed with increasing thermal Grashof number.
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