Influence of heat source on viscous dissipative hydromagnetic fluid flow in a permeable vertical channel subjected to time-periodic boundary conditions

Unsteady heat-generating natural convective viscous dissipative fluid flow through a permeable steady-periodic vertical channel in the presence of heat source is studied. The coupled partial differential governing equations of the problem are simplified to obtain second-order nonlinear ordinary differential equations. The resulting differential equations are solved using differential transform method to obtain approximate solutions for the momentum and energy equations. The impacts of pertinent parameters, such as heat source/sink ($\delta$), Prandtl number ($\mathit{Pr}$), viscous heating ($\lambda$), suction/injection (S), and Strouhal number ($\mathit{St}$), on the velocity and temperature distributions in the periodic regime are illustrated using graphs and discussed. From the computational results, it is observed that an increase in the values of heat source/sink parameter ($\delta$) in the presence of viscous dissipation has significant influence on the flow and heat transfer. This study provides useful information in handling and processing the extraction of crude-oil-based slurries.     

MHD slip flow and heat transfer of UCM fluid with the effect of suction/injection due to stretching sheet: OHAM solution

In this study, the optimal homotopy analysis (OHAM) technique has been examined to solve the laminar magnetohydrodynamic flow (MHD flow) on the upper-convected Maxwell fluid on an isothermal porous stretch surface. A study on the effects of parameters like the relaxation time, suction/injection velocity, as well as the magnetic number on velocity over a sheet was conducted and these results are compared to the corresponding previously available results. It was observed that the thickness of the boundary layer is lowered by enhancing $s$, $\beta$, and $M$ values. Opposing this, it was observed that large $\beta$ values increase the $f″\left(0\right)$ magnituIIde. It is found that OHAM is an efficient method capable of giving a greater degree of accuracy in numerical values of flow parameters even after fewer approximations.     

Heat generation/absorption on MHD flow of a micropolar fluid over a heated stretching surface in the presence of the boundary parameter

A model study is reported to examine the effect of magnetic hydrodynamics polar fluid over a semistretched infinite vertical porous surface in the presence of heat source, temperature, magnetic field, and thermal radiation. The governing dimensional partial differential equations are transformed into an ordinary differential equation set by introducing the similarity variables. The reduced model is numerically solved via Runge–Kutta fourth order along with the shooting technique. The effects of various physical parameters on coefficient of skin friction, microrotation coefficient, and Nusselt number are studied whereas the outcomes are explained through a set of graphs. The results obtained are explained in tabular form and graphs. Prandtl and Hartman's numbers enhance the velocity profile while the opposite behavior is noticed for $\phi ,\delta$. Higher values of Pr enlarge the angular velocity near the surface. Improved temperature distribution is noticed for higher values of Ha and ϕ, However, a declined behaviour is observed for $\text{Pr},\delta$, and $fo$.     

Influence of peristalsis on the convective flow of two immiscible fluids in a vertical channel

This article explores the flow characteristics of peristaltic transport of two immiscible fluids in a vertical channel with heat transfer are studied. The flow domain is divided into the core region and a peripheral region, respectively. The solution is derived analytically in the form of temperature from which the stream function and axial velocity corresponding to each region are found. The two regions are separated by an interface, which is determined by using nonlinear algebraic equation. In peristaltic transport, the importance of physical quantities like pumping, axial velocity, temperature distribution, and interface are discussed for different considerations of interest governing the flow parameters. It is noticed that the increase in $Gr$ enhances the pressure change at a given flow rate. It shows that increasing $Gr$ enhances the displacement of fluid particles, which yields to increase in axial velocity. The increase in heat source/sink parameter yields the increase in temperature of the fluid, which, in turn, results in an increase in temperature distribution.