Impact of Temperature-Dependent Heat Source/Sink and Variable Species Diffusivity on Radiative Reiner–Philippoff Fluid

Abstract

The principle aim of the current communication is to scrutinize the impact of distinguished effects like variable thermal conductivity and variable molecular diffusivity on non-Newtonian Reiner–Philippoff fluid moving over a stretchable surface. The process of heat transfer is carried out in the presence of nonlinear thermal radiation, variable thermal conductivity, and heat generation/absorption. Furthermore, the study of mass transfer phenomena is carried out in the existence of variable molecular diffusivity. The PDEs regarding our model are renovated into ODEs by utilizing similarity transformation. Furthermore, the dimensionless model is tackled with the help of the RK4 method in conjunction with the shooting technique. The effects of different physical parameters that emerged during the numerical simulation on mass transfer rate, heat transfer rate, and velocity field are portrayed in the form of tables and graphs. It is noteworthy that an elevation in the heat source/sink parameters causes a reduction in the temperature profile. Moreover, a positive variation in the species diffusivity parameter augments the mass fraction field. A variation in the fluid parameter is found to be significantly affecting the shear thinning and shear thickening behaviour of the fluid. Reliability of the numerical outcomes is judged by comparing the obtained outcomes with the already available literature. The article is unique in its sense that the heat and mass transfer analysis of Reiner–Philippoff fluid under the aforementioned effects has not been investigated yet.

Impact of Activation Energy and Temperature-Dependent Heat Source/Sink on Maxwell–Sutterby Fluid

“…Saidulu et al [2] explored the coduct of MHD on radiative tangent hyperbolic nanofluid past an inclined stretchable surface and noticed that the velocity of the fluid diminishes owing to an increment in the magnetic number. Sajid et al [3] contemplated the impact of heat source/sink and species diffusivity on radiative Reiner-Philippoff fluid past a stretchable surface. Williamson fluid accompanied with MHD, heat source, and nonlinear thermal radiation was deliberated by Parmar [4] who concluded that temperature gradient augments on account of an enhancement in the thermal radiation effect.…”

Nonsimilar solution of a boundary layer flow of a Reiner–Philippoff fluid with nonlinear thermal convection

“…Nonlinear thermal radiative heat flux in its full form is employed without the usual truncation of the higher‐order terms in the expansion. The flow equations regarding mass, momentum, energy, and concentration conservation are similar to those in Na, 8 Ahmed et al, 12 and Sajid et al 13 $$$\frac{\partial v}{\partial y}=-\frac{\partial u}{\partial x},$$$ $$${u}_{{\rm{w}}}\frac{d{u}_{{\rm{w}}}}{dx}+\frac{1}{\rho }\frac{\partial \tau }{\partial y}-\frac{\sigma {B}^{2}u}{\rho }+{g}_{{\rm{a}}}[{\alpha }_{1}(T-{T}_{\infty })+{\alpha }_{2}{(T-{T}_{\infty })}^{2}]+{g}_{{\rm{a}}}[{\alpha }_{3}(C-{C}_{\infty })+{\alpha }_{4}{(C-{C}_{\infty })}^{2}]=u\frac{\partial u}{\partial x}+v\frac{\partial u}{\partial y},$$$ …”

“…Nonlinear thermal radiative heat flux in its full form is employed without the usual truncation of the higher-order terms in the expansion. The flow equations regarding mass, momentum, energy, and concentration conservation are similar to those in Na, 8 Ahmed et al, 12 and Sajid et al 13 ∂ ∂…”

“…The choice of concentration‐dependent mass‐diffusivity is justified following the experimental study of Bardow et al 20 The exact form of the variation is supported by Sajid et al 13 and some of the references therein 21–25 . The radiative heat flux resulting from the Rosseland approximation is defined as $$${q}_{{\rm{r}}}=-\frac{4{\sigma }^{* }}{3{k}_{1}}\frac{\partial {T}^{4}}{\partial y}=-\frac{16{\sigma }^{* }}{3{k}_{1}}\left[{T}^{3}\frac{\partial T}{\partial y}\right].$$$…”

“…The choice of concentration-dependent mass-diffusivity is justified following the experimental study of Bardow et al 20 The exact form of the variation is supported by Sajid et al 13 and some of the references therein. [21][22][23][24][25] The radiative heat flux resulting from the Rosseland approximation is defined as…”