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.

The present research manuscript is intended to scrutinize the impacts of heat transfer in a Bodewadt flow above a penetrable disk numerically. The repercussions of internal heat generation and absorption, viscous dissipation, magnetic field, joule heating accompanying with variable properties of the fluid are also inspected as well. Within the recent past, multifarious scientists have prophesied that physically compatible solution of heat energy equation in a Bodewadt flow exist only when the disk is permeable. The final problem contains the variable which estimates the rate of dependence of fluid viscosity on the temperature. We transmuted the governing equations of heat transfer (accompanied by variable properties) and motion of fluid in to self-similar non-dimensional differential equations by utilizing the Von-Karman variables. The major result of this research study is that the velocity & temperature of the fluid surrounding the disk are substantially altered by taking numerous values of parameter of variable viscosity . Command of NDSolve in Mathematica software on the basis of Adams Bashforth method is employed to obtain numerical statistics from suggested mathematical model. Numerical results for velocity constituents (F, G, H) and temperature curves ( ) for distinct emerging parameters are illustrated graphically. Additionally, the values of co-efficient of skin friction and nusselt number are calculated for different emerging parameters and their behavior are exposed physically with the assistance of tables and bar charts.