Special functions-based solutions of unsteady convective flow of a MHD Maxwell fluid for ramped wall temperature and velocity with concentration

Abstract In this paper a new approach is taken to find the exact solutions for generalized unsteady magnetohydrodynamic transport of rate-type fluid near an unbounded upright plate and analyzed ramped wall temperature velocity with constant concentration. The vertical suspended in porous medium encounters radiation effects. Solutions based on special functions are obtained using integral transform MHD Maxwell presence velocity, relations Nusselt number skin-friction coefficient efficiently computed precisely estimate rate heat transfer at boundary shear stress. Results also discussed detail demonstrated graphically software comprehensively analyze dynamics proposed problem, physical impact several system parameters, such as magnetic field M , Prandtl Pr, relaxation time λ dimensionless τ Schmidt Sc Mass Thermal Grashof numbers Gm Gr respectively, studied. Furthermore, some recently published work compared current study that endorses authenticity our derived results proves those investigations limiting or cases problem.