Analysis of Hydromagnetic Flow and Heat Transfer of a Boussinesq-Stokes Suspension over an Exponentially Stretching Sheet

There are numerous uses for boundary layer flow on a continually stretched sheet, wire drawing, including hot rolling, the manufacture of glass fibre, and the making of paper. Most previous studies mainly focus on boundary layer flows over stretching surfaces, where it is considered that the surface's velocity stretches in a quadratic proportion to the distance from the static origin. The current chapter presents the investigation of heat transfer properties and velocity profiles in a hydromagnetic Boussinesq-Stokes suspension (BSS) flow over an exponentially stretching impermeable sheet. The fundamental equations that describe the transfer of heat and flow are partial differential equations. A suitable local similarity transformation was applied to convert the equations into nonlinear ordinary differential equations. The differential transform method (DTM) was used to obtain the series solutions of the transformed equations with guaranteed convergence. The influence of the Chandrasekhar number, couple stress parameter, Prandtl number, and Eckert number on velocity profiles and heat transfer was investigated. The study showed that magnetic field strength, couple stress, Prandtl number, and Eckert number significantly influence the velocity and thermal boundary layers in hydromagnetic Boussinesq–Stokes suspension flow over an exponentially stretching sheet, with important implications for industrial heat and material processing applications.