Abstract

The present communication aims to investigate the influence of inclined magnetic field and Joule heating phenomenon in the presence of chemical reaction on micro-rotation of particles suspended in a viscoplastic fluid submerged in a porous medium. Casson fluid is considered as a viscoplastic fluid. Governing physical problem modeling and formulation is performed in the Cartesian coordinate system. A system of partial differential equations is reduced to a system of ordinary differential equations by means of suitable transformation. Nonlinear coupled system is solved numerically with the help of a shooting algorithm. Numerical investigation is carried out for strong and weak concentrations at the boundary. Emerging parameters’ effects on fluid micro-rotation velocities and temperature distribution are displayed and analyzed through graphs for strong and weak concentrations. Further, numerical values of skin friction coefficient and Nusselt number are tabulated for pertinent parameters. From the present analysis it is concluded that fluid decelerates with an increase in Casson fluid parameter, medium porosity, magnetic parameter, and inclination angle in both cases of strong concentration as well as weak concentration while it accelerates with the increase in micropolar parameter and Eckert number. Micro-rotation velocity seems to accelerate at the vicinity of stretching surface for β, K, γ, M, and Γ while it decelerates with the increase in Ec. Temperature rises with the increase in Eckert number, Biot number, inclination angle, magnetic parameter, and thermal convection parameter for strong and weak concentration. Skin friction coefficient increases with an increase in micropolar parameter, magnetic parameter, and medium porosity whereas it decreases with an increase in Casson fluid and thermal convection parameters. Nusselt number magnitude rises with an increase in K, Pr, and Bi, while it lessens with an increase in M, Ec, and γ.

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