Velocity slip impact with inertial drag and Darcy dissipation on the radiative flow of micropolar fluid over an elongating surface

The current scenario of the research depends upon the effective heat transfer properties of various fluids that have significant applications in different sectors like engineering, biomedical, industries, etc. From the various investigations, the flow of conducting micropolar fluid under the action of inertial drag over an elongating surface packed within a porous matrix is presented in this article. The model is equipped with inertial drag and the combined effect of Joule with Darcy dissipation energies in the flow spectacles. Furthermore, the velocity slip impact also affects the flow profiles significantly. Appropriate similarity rules are adopted to translate governing phenomena into dimensionless forms. The proposed transformed set of equations is solved employing a numerical technique called “Runge-Kutta fourth-order” combined with the “shooting method” and the simulation is carried out by utilizing MATLAB. The confirmation of the past examination is presented numerically with a good agreement in particular cases. Further, the physical consequence of several factors involved in the flow phenomena is presented graphically and elaborated in the discussion section. The major outcomes of this study are: Lorentz force resistivity reduces velocity-boundary thickness, while micropolar effects enhance velocity but show dual behavior in angular velocity. Darcy-Forchheimer drag lowers velocity, and heat dissipation raises temperature while controlling the gradient. Radiative heat significantly boosts temperature and the Nusselt number.