Heat and mass transfer in an unsteady squeezed Casson fluid flow with novel thermophysical properties: Analytical and numerical solution

Abstract

This study investigates the heat and mass transfer in an unsteady squeezing flow between parallel plates under the influence of novel variable diffusivity. In most of the literature, it is believed that the thermophysical properties of the fluid are unchanged. However, this present study bridges this gap by assuming that viscosity, conductivity, and diffusivity are all temperature‐dependent. Physically, an appropriate analysis of thermophysical variables in such a system is required to achieve the best performance for effective heat and mass transfer processes. The equations controlled were first nondimensional and then simplified by a similarity transformation to ordinary nonlinear differential equations. The present study provides a fast convergent method on finite parallel plates, namely, the optimal homotopy analysis method (OHAM) and spectral collocation method (SCM) are used to analyze the fluid flow, heat, and mass transport. The graphical and table understanding is given via an error table and flow behavior of physical parameters. The result reveals that the SCM is more accurate than OHAM. However, the method employed in this paper offers excellent convergence solutions with good accuracy. The solution convergence is also discussed. In this type of problem, squeeze numbers play an important role and the rise in the squeezing parameter increases the fluid temperature.

Entropy generation minimization on electromagnetohydrodynamic radiative Casson nanofluid flow over a melting Riga plate

“…The energy equation of radiative heat flow that follows the approximation of Roseland can be defined as $$${q}_{r}=-\frac{4{\sigma }_{1}}{3{k}_{1}}\frac{\partial {T}^{4}}{\partial y},$$$where $${\sigma }_{1}$$ is the constant of Stefan–Boltzmann and $${k}_{1}$$ is the coefficient of absorption in Rossland. Using the above assumptions and boundary layer approximations, the governing equations of the problem are given as follows 16,55,56 $$$\frac{\partial u}{\partial x}+\frac{\partial v}{\partial y}=0,$$$ $$$u\frac{\partial u}{\partial x}+v\frac{\partial v}{\partial y}=\frac{1}{{\rho }_{\infty }}\left(1+\frac{1}{\beta }\right)\frac{\partial }{\partial y}\left[\mu (T)\frac{\partial u}{\partial y}\right]+\frac{\pi {j}_{0}M}{8{\rho }_{\infty }}{e}^{-\frac{\pi y}{s}}-\frac{\mu (T)}{{{\rho }_{\infty }({k}_{{\rm{p}}})}_{o}}\left(1+\frac{1}{\beta }\right)u,$$$ …”

“…Using the above assumptions and boundary layer approximations, the governing equations of the problem are given as follows. 16,55,56…”

Effects of Newtonian heating and heat generation on magnetohydrodynamics dusty fluid flow between two parallel plates

“…Jyothi et al (2021b) scrutinized the effect of Stefan blowing on Casson nanofluid flow and heat transmission through a moving thin needle. Furthermore, several scholars investigate the relationships between Casson fluid flow, heat transmission, and Mewton's equation of cooling (Obalalu et al, 2020;Obalalu, 2021).…”

Effects of Geometric Ratios on Heat Transfer in Heated Cylinders: Modelling and Simulation

“…The first accurate computational solution of equations that describe 2-D natural convection in a square enclosure subjected to various thermal boundary conditions was done by De Vahl Davis (1983). In recent times, because many similar works had been done prior to 2019, many researchers have also carried out multiple studies with similar cavities using different solution methods (Obalalu, 2021;Olayemi et al, 2021a;Olayemi et al, 2021b).…”