A fully developed viscous electrically conducting fluid through infinitely parallel porous plates

The current article deals with the steady behavior of a fully developed viscous electrically conducting and compressible Jeffrey fluid via infinitely parallel porous vertical microchannel in the sight of a transverse magnetic field. The fluid flow problem is modeled using Napier–Stokes and energy conservation equations. To analyze the problem, the leading equations are reformulated into dimensionless forms. These dimensionless transformed equations are described by nonlinear-coupled ordinary differential equations and are eliminated utilizing the shooting method based on the fourth-order Runge–Kutta technique through the boundary conditions; this represent slip velocity and temperature-jump situations on the fluid–fence interface. The model equations are numerically solved with MATLAB's built-in routine “bvp4c.” The behavior of Jeffrey fluid is described through graphs. The significance of model parameters is scrutinized and discussed in detail through graphs. Various significant impacts are examined in these simulations, such as radiation, magnetic field and viscous dissipation. Furthermore, the essential results of this investigation are the effects illustrated graphically and discussed quantitatively concerning various influencing parameters corresponding to the magnetic parameter, interaction parameter, buoyancy parameter, Darcy parameter, wall ambient temperature ratio, and the fluid-wall relationship. We noticed that both walls are heated, that is, $\xi =1$ the velocity decreases with a rising Jeffrey parameter.