Unsteady Hydromagnetic Flow past a Moving Vertical Plate with Convective Surface Boundary Condition

Abstract

Investigation of unsteady MHD natural convection flow through a fluid-saturated porous medium of a viscous, incompressible, electrically-conducting and optically-thin radiating fluid past an impulsively moving semi-infinite vertical plate with convective surface boundary condition is carried out. With the aim to replicate practical situations, the heat transfer and thermal expansion coefficients are chosen to be constant and a new set of non-dimensional quantities and parameters are introduced to represent the governing equations along with initial and boundary conditions in dimensionless form. Solution of the initial boundaryvalue problem (IBVP) is obtained by an efficient implicit finite-difference scheme of the Crank-Nicolson type which is one of the most popular schemes to solve IBVPs. The numerical values of fluid velocity and fluid temperature are depicted graphically whereas those of the shear stress at the wall, wall temperature and the wall heat transfer are presented in tabular form for various values of the pertinent flow parameters. A comparison with previously published papers is made for validation of the numerical code and the results are found to be in good agreement.

Mixed convection flow from a convectively heated vertical porous plate with combined effects of suction/injection, internal heat generation and nonlinear thermal radiation

“…Jha and Samaila 22 visited the work of Soundalgekar et al 23 using convective boundary condition. Chamkha et al 24 analysed the unsteady nature of hydromagnetic flow over a moving vertical plate using convective boundary condition. Yao et al 25 employed convective boundary condition in analysing the heat transfer past a stretching/shrinking surface.…”

Thermodiffusion and chemical reaction on MHD free convective flow past a rotating vertical porous plate with constant heat and mass discharge

“…Seth et al 34 discussed the unstable MHD liberated convective flows by the temperature as well as accumulation transportation of the gelatinous chemical reaction, in addition, optical thick radiation liquid through the exponential accelerated stirring perpendicular spongy plate by arbitrarily ramped temperatures. The tremulous MHD natural central heating flows by a fluid‐saturated spongy media over the precipitately moving semi‐unlimited perpendicular plate by convective surface boundary condition have been discussed by Seth et al 35 Seth et al 36 explored the examination of MHD normal convective temperature as well as accumulation transportation flows with the Hall impacts of the temperature absorption, radiation as well as revolving liquid through the exponential accelerated stirring straight up plate by the ramped temperatures profiles. The unsteady MHD liberated convective flows of the gelatinous, noncompressible, electrical performing, optical thin radiation as well as temperature absorption liquid by the accelerated stirring perpendicular plate by the nonconstant ramped temperatures have been explored by Seth et al 37 Seth et al 38 examined the uneven MHD usual convective flows of the gelatinous, noncompressible, electrical performing as well as temperatures dependent and temperature absorption liquid detained within the comparable plate revolving straight up channels in absorbent media.…”

Analysis of time‐dependent dynamics of micropolar fluid subject to Lorentz force, energy flux due to a concentration gradient and viscous dissipation

“…Das et al 30 looked at the Soret and Dufour effects on tangent hyperbolic nanofluid flow over a permeable stretching surface with numerous slip conditions at the wall in a steady and incompressible MHD nonlinear convective flow. Seth et al 31 investigated unsteady MHD natural convection flow past an impulsively moving semi‐infinite vertical plate with convective surface boundary condition via a fluid‐saturated porous medium of a viscous, incompressible, electrically conducting, and optically‐thin radiating fluid. Seth et al 32 studied the impacts of Soret and Hall on unsteady MHD free convection heat and mass transfer flow of a viscous, incompressible, electrically conducting, and optically thick radiating fluid past an impulsively moving infinite vertical plate with ramped temperature through a uniform porous medium in a rotating system in the presence of a first‐order chemical reaction through a uniform porous medium in a rotating system.…”