Closed form solution for MHD Jeffrey fluid flow over a stretching sheet in porous medium with chemical reaction suction and multiple slip conditions

This work examines the combined effects of heat and mass transfer in the magnetohydrodynamic flow of a Jeffrey fluid over a stretching sheet embedded in a saturated porous medium. The analysis incorporates velocity, thermal, and concentration slip conditions at the surface, along with suction, a first-order chemical reaction, and internal heat generation or absorption. Surface temperatures and concentrations are supposed to follow a power-law form. Using proper similarity transformations, the governing nonlinear equations are converted to ordinary differential equations. These are solved analytically by assuming an exponential form for the stream function and expressing temperature and concentration profiles in terms of confluent hypergeometric (Kummer’s) functions. The solutions successfully recover several known special cases from the literature. Graphical findings illustrate how key parameters such as the Deborah number, suction, porosity, magnetic field strength, and slip coefficients influence the velocity, temperature, and concentration distributions. The data reveal significant physical trends: suction and magnetic effects tend to minimize velocity, but slip parameters strongly influence heat and mass transfer rates. These analytical findings provide practical insights for applications in polymer manufacturing, coating flows, and certain biomedical circumstances.