4.6 Article

Mathematical Simulation of Casson MHD Flow through a Permeable Moving Wedge with Nonlinear Chemical Reaction and Nonlinear Thermal Radiation

Journal

MATERIALS
Volume 15, Issue 3, Pages -

Publisher

MDPI
DOI: 10.3390/ma15030747

Keywords

mathematical simulation; RK4 method; Casson fluid; MHD porous medium; joule heating; moving wedge; unsteady flow

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This study investigates the influence of chemical interaction and dynamic micropolar convective heat transfer flow on Casson fluid caused by a moving wedge immersed in a porous material. The heating effect of magnetized porous matrix heating is also considered. The mathematical formulation is expressed in the form of partial differential equations, and the dimensionless set of ordinary equations is obtained via a transformation framework and solved using the RK4 built-in function in MATLAB. The results show the effects of material parameters on various properties such as flow field, temperature, concentration, drag force, and Nusselt number.
The influence of the chemical interaction and dynamic micropolar convective heat transfer flow of Casson fluid caused by a moving wedge immersed in a porous material was explored. The Joule heating owing to magnetized porous matrix heating was also deliberated. The mathematical formulation for mass conservation, momentum, energy, and concentration profiles was expressed in the form of partial differential equations. The dimensionless set of ordinary equations was reduced from modeled equations via a transformation framework and then solved by the RK4 built-in function in MATLAB SOFTWARE by taking a step size of & UDelta;eta=0.01. The existing work was compared with the published work. The iteration procedure was stopped until all of the nodes in the eta-direction met the convergence condition 10(-5). The physical appearance of material parameters on the flow field, temperature, concentration, drag force, and Nusselt number was discussed through plots. The numerical results were obtained for limiting circumstances. The unsteadiness factor thinned the velocity boundary layer but decreased the thermal and concentration boundary layers. By increasing the Eckert number, the nondimensional temperature profile was enhanced. The novelty of the present study is that no one has numerically investigated the magnetized Casson fluid over a moving wedge in the presence of a chemical reaction and thermal radiation.

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