This article investigates the heat and mass transmission of the double‐diffusive convective stream over a moving vertical plate with nonlinear thermal radiation and newton boundary conditions. The governing partial differential equations of the stream, heat, and concentration profiles were transformed into a system of nonlinear ordinary differential equation by utilizing resemblance transformation. This system was then resolved numerically by applying the fourth order Runge‐Kutta method with most efficient shooting technique. The effect of convection, buoyancy ratio, nonlinear thermal radiation, Prandtl number, Rayleigh number and Schmidt number are graphically scrutinized. The numerical results are obtained for velocity, temperature, and concentration profiles. It is found that when the velocity profile increases, heat and mass transfer rate decreases with an increase in the parametric value of buoyancy ratio parameter. It is found that the effect of nonlinear thermal radiation stabilizes the thermal boundary layer growth. The skin friction coefficient decreases with an increase in Prandtl number. However, the Nusselt number increases with an increase in the local convective heat transfer rate. The present results are very much promising, and further, there is a very good agreement of results when compared with earlier published results for some limiting conditions.

An analysis is done of the effect of Richardson and Biot number on double-diffusive mixed convective Casson fluid stream with viscous dissipation on warmth and mass stream with convective limit conditions and radiating vertical plate. The R-K method with shooting procedure is used to solve the transformed equations mathematically. The accuracy of the numerical procedure has been validated through a comparison of the current work compared with prior available results. The sheer surface stress, Nusselt, and Sherwood number are increased with enhancement in Prandtl number. The Biot number Βi > 0.1 is investigated and increasing Biot number is observed to enhance the friction coefficient, Nusselt, and Sherwood number are increased. The influence of pertinent constraints on distinct flow parameters is determined and analyzed through tables and graphs.

An analysis of stagnation point flow of heat and mass transfer of double diffusive mixed-convective stream with radiating vertical plate and convective boundary conditions. The Runge-Kutta method with shooting procedure is used to solve the transformed equations mathematically. An accuracy of the numerical procedure has been validated through a restriction of the current work compared with prior available results. The shear surface stress, Nusselt and Sherwood number are increased with increase in Prandtl number. The Biot number Bi > 0.1 is investigated and observed that to increase the Prandtl number, the friction coefficient, Nusselt number and Sherwood number are increased. The impact of pertinent constraints on distinct flow parameters are determined and analyzed through tables and graphs.

No abstract

The goal of this study is to analyze the impact of Casson fluid, physical parameters, and suction/injection on two‐phase mass transfer effects on unsteady magnetohydrodynamics flow over an elongating surface in the presence of thermal radiation and viscous dissipation. The system of nonlinear ordinary differential equations of flow, energy, and mass transfer are developed and computations have been carried out through the shooting method along with Runge–Kutta fourth and fifth‐order techniques. The graphs and tables are depicted and explained for the response to various embedded parameters. The C italicfx ,   N u x ,   and   S h x ${C}_{{fx}},\unicode{x02007}N{u}_{x},\unicode{x02007}\mathrm{and}\unicode{x02007}S{h}_{x}$ are also analyzed for distinct values of A , M , R , Pr , Sc , Ec , and   Cr $A,M,R,{\Pr },{Sc},{Ec},\mathrm{and}\unicode{x02007}{Cr}$. The observations of this examination are well detailed in the present research.