Time‐dependent natural convection fluid flow of stably stratified fluid in an asymmetrically heated vertical channel filled with an anisotropic porous material

Abstract

This paper presents a theoretical analysis of the combined effects of anisotropic porous material and thermal stratification on the transient natural convection fluid flow in an asymmetrically heated vertical parallel channel. The solutions of the governing equations for the temperature and velocity fields are obtained using Laplace transform technique, Riemann sum approximation, and the D'Alembert method. The choice of the D'Alembert method is to provide a simple decoupling procedure for the coupled governing equations while still retaining their original orders. The research established that owing to the layering effect induced by the thermal stratification ( S ) $(S)$, the temperature and the velocity distributions of the fluid are found to be attenuated with an increase in thermal stratification. It is also observed that the inclusion of anisotropic parameters in the transport equations aids in regulating the fluid velocity, temperature, Nusselt number, skin friction, and mass flow rate. In addition, by neglecting the anisotropic parameter and taking into account the adiabatic stratification of the fluid, the numerical values for the mass flow rate of the present research favorably compared with the numerical results obtained by Singh et al.

The role of stably stratified fluid and anisotropy porous medium in modeling fluid flow through an asymmetrically heated/cooled vertical annulus

“…24 The effects of anisotropic, stratification of the media, and asymmetric heating and cooling on natural convection have been separately investigated previously by several researchers as seen in the literature mentioned above. Recently, Jha et al 25 presented a mathematical model that combines anisotropy and stratification of the media together. Such a model is necessary since, stratified fluid such as geophysical fluid flow, flows through porous structures that are anisotropic in nature.…”

Run‐up flow of MHD fluid between parallel porous plates in the presence of transverse magnetic field

“…A porous material can be described as one consisting of a solid matrix with interconnected pores. The interconnectedness of the pores allows the flow of one or more fluids through the material 10 . Flows through porous medium have some important applications in agricultural engineering, underground water resources and seepage of water beds, filtration and purification processes in chemical engineering, and petroleum technology to study the movement of natural gas, oil, and water through the oil reservoirs 11 .…”

“…The interconnectedness of the pores allows the flow of one or more fluids through the material. 10 Flows through porous medium have some important applications in agricultural engineering, underground water resources and seepage of water beds, filtration and purification processes in chemical engineering, and petroleum technology to study the movement of natural gas, oil, and water through the oil reservoirs. 11 These applications become more interesting if the bounding walls of the transport medium are subjected to certain forms of conditions.…”