Impact of Lorentz Force in Thermally Developed Pulsatile Micropolar Fluid Flow in a Constricted Channel

Abstract

This work aimed to analyze the heat transfer of micropolar fluid flow in a constricted channel influenced by thermal radiation and the Lorentz force. A finite difference-based flow solver, on a Cartesian grid, was used for the numerical solution after transforming the governing equations into the vorticity-stream function form. The impact of various emerging parameters on the wall shear stress, axial velocity, micro-rotation velocity and temperature profiles is discussed in this paper. The temperature profile is observed to have an inciting trend towards the thermal radiation, whereas it has a declining trend towards the Hartman and Prandtl numbers. The axial velocity profile has an inciting trend towards the Hartman number, whereas it has a declining trend towards the micropolar parameter and Reynolds number. The micro-rotation velocity escalates with the micropolar parameter and Hartman number, whereas it de-escalates with the Reynolds number. The Nusselt number is observed to have a direct relationship with the Prandtl and Reynolds numbers.

MHD micropolar fluid flow in porous media

“…However, in Figure 6(c) we can see that as K rises, so does the absolute value of the microrotation vector close to the plates, 20,49 and is therefore obvious that additional viscosity λ emphasizes the characteristics of micropolar fluids. This means that additional viscosity λ emphasizes the small particle microrotation, which particles were embedded in the fluid.…”

“…Before we proceed to further analyse and discuss the problem under consideration using the charts, note that Figure 2(a) and (b) illustrate the comparison between velocity profiles for the problem dealt with in this paper and the results obtained in the paper by Umar. 20 Figure 2(a) shows the dependency of the change in velocity profiles based on the changes in the value of the coupling parameter K , whereas Figure 2(b) compares velocity profiles for values K = 0 . 1 and 0.4. The comparisons of dimensionless velocities given in Figure 2(a) and (b), show a very good match.…”

“…Before we proceed to further analyse and discuss the problem under consideration using the charts, note that Figure 2(a) and (b) illustrate the comparison between velocity profiles for the problem dealt with in this paper and the results obtained in the paper by Umar. 20 The influence of the magnetic field is seen through the action of the Lorentz force. As it is well known, due to the flow of the electrically conductive fluid under the influence of the external magnetic field the Lorentz force is induced.…”

“…Thus, Alshehri 18 (2021) used the model of a Cattaneo–Christov heat flux to examine the velocity of heat transfer in a hybrid nanofluid which contains a micropolar liquid through a vertical surface. Morever, Salahuddin et al 19 (2021), considered the case of a non-stationary flow of a micropolar fluid around a cylindrical object, whereas Umar 20 (2021) analysed heat transfer during the flow of a micropolar fluid in a constricted channel under the influence of heat radiation and the Lorentz force. All these recent studies show the significance that the MHD flows of micropolar fluids have.…”

Data-Driven Reduced-Order Modeling of Blood Flow in a Constricted Channel with Magnetic Field Effect using Deep Learning

“…Ali et al (2021c) investigated the micropolar fluid flow in a channel with symmetrical constriction and concluded that the wall shear stress has a direct relation to the magnetic parameter and Reynolds number. Umar et al (2021) extended the work to investigate the heat transfer effects in the presence of thermal radiations. Ali et al (2020b) examined the pulsatile flow of the MP-Casson fluid in a constricted channel and found the Hartmann number to be a significant parameter to control the flow separation region, which appears after the constriction bump along the wall.…”