Double‐diffusive natural convective stream due to moving vertical plate with nonlinear thermal radiation and Newton's boundary constraint

Abstract

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.

Flow due to a porous stretching/shrinking sheet with thermal radiation and mass transpiration

“…The hypothesis is that temperature modification is conveyed as a linear purpose in the fourth power of temperature. Mahabaleshwar et al 19–22 Nandeppanavar et al 23–27 existing Taylor's series extension of the duration $${T}_{\infty }$$ with the value $${T}^{4}$$ as follows: $$${T}^{4}={T}_{\infty }^{4}+4{T}_{\infty }^{4}(T-{T}_{\infty })\,+6{T}_{\infty }^{2}{(T-{T}_{\infty })}^{2}+\,\text{\unicode{x02026}}.$$$…”

“…The hypothesis is that temperature modification is conveyed as a linear purpose in the fourth power of temperature. Mahabaleshwar et al [19][20][21][22] Nandeppanavar et al [23][24][25][26][27] existing Taylor's series extension of the duration ∞ T with the value T 4 as follows: (10)…”

Effect of Richardson number on stagnation point flow of double diffusive mixed convective slip flow of magnetohydrodynamic Casson fluid: A numerical study

“…Narendra et al 18 analyzed the radiation effects of Stagnation point flow of Casson fluid in presence of heat generation or absorption of nanofluid. The effects of nonlinear thermal radiation of heat and mass transfer of a double‐diffusive moving vertical plate was investigated by Mahantesh et al 19 Vedavathi et al 20 demonstrated the radiative effects of non‐Darcy nanofluid with convective boundary conditions in presence of stretching surface. The effects of nonlinear thermal radiation on double diffusive stagnation point flow of convective moving plate was analyzed by Mahantesh et al 21…”

“…Narendra et al 18 analyzed the radiation effects of Stagnation point flow of Casson fluid in presence of heat generation or absorption of nanofluid. The effects of nonlinear thermal radiation of heat and mass transfer of a double-diffusive moving vertical plate was investigated by Mahantesh et al 19 Vedavathi et al 20 demonstrated the radiative effects of non-Darcy nanofluid with convective boundary conditions in presence of stretching surface. The effects of nonlinear thermal radiation on double diffusive stagnation point flow of convective moving plate was analyzed by Mahantesh et al 21 Inspired by the recently referenced examinations on progression of non-Newtonian liquids because of an extending sheet and its immense applications in numerous enterprises, in this article, the consistent two-dimensional MHD stagnation-point stream of electrically leading non-Newtonian Casson liquid and warmth move past an extending sheet in presence of warm radiation impact are researched.…”

Effects of Richardson and Biot number on double‐diffusive Casson fluid flow with viscous dissipation

“…Jamel Bouslimi et al 20 observed that the effects of Soret and nonlinear mixed convective on MHD nanofluid stream of extending surface. Mahantesh et al 21 analyzed the effects of nonlinear thermal radiation and convective constraints of double-diffusive uniform moving plate. Kataria and Patel 22 observed the effects of MHD Casson fluid flow of heat mass transfer of ramped wall temperature of an oscillating vertical plate with porous medium.…”