Numerical analysis of MHD axisymmetric rotating Bodewadt rheology under viscous dissipation and ohmic heating effects

Abstract

Abstract In present research manuscript, analysis is presented for the influences of heat transition in a bodewadt flow over a penetrable disk numerically. Estimation parameters in current mathematical flow model include magnetic field parameter $$(0.1 \le M \le 1.2),$$ ( 0.1 ≤ M ≤ 1.2 ) , wall suction $$(1.7 \le A \le 6.7),$$ ( 1.7 ≤ A ≤ 6.7 ) , prandtl number $$(0.2 \le \Pr \le 5.0),$$ ( 0.2 ≤ Pr ≤ 5.0 ) , heat generation/absorption $${( - }0.9 \le Q \le 3.6),$$ ( - 0.9 ≤ Q ≤ 3.6 ) , eckert number $$(0 \le Ec \le 1.2),$$ ( 0 ≤ E c ≤ 1.2 ) , variable viscosity $${( - 100} \le \theta_{e} \le 100)$$ ( - 100 ≤ θ e ≤ 100 ) and thermal conductivity $${(0} \le \varepsilon \le 4.1).$$ ( 0 ≤ ε ≤ 4.1 ) . The repercussions of joule heating, wall suction, heat generation & absorption, magnetic field, viscous dissipation accompanying with variable characteristics of the fluid are also examined as well. Kinetics of viscous fluid with variable characteristics of fluid having solid body rotation over a permeable disk (having cylindrical geometry) are analyzed. We transformed the governing equations of heat transfer (accompanied by variable properties) and fluid motion in to self-similar non-dimensional differential equations by using the Von-Karman variables which are then further analyzed numerically by utilizing Adams Bashforth method. For a physical insight, results are manifested to scrutinize the behavior of velocity and temperature profiles for different emerging parameters graphically. Moreover, the values of nusselt number & skin friction co-efficient are also computed and physically explicated for the assorted parameters. Outcomes of current investigations are compared with prior work, to ensure the authenticity of the numerical method, and strong agreement is noted.