Mathematical model and stability analysis of thermally magnetized Maxwell fluid flow over an unsteady stretching sheet

The magnetohydrodynamic flow and thermal characteristics properties of an unsteady flow over stretching sheet have potential uses in a wide range of engineering processes like die manufacture, wire coating, metallurgy, and polymeric extrusion. The purpose of the present study is to investigate the hydrodynamics flow under the influence of Lorentz force on two‐dimensional viscous flow with thermophysical properties. Surface tension is estimated to change quadratically with heat, but fluid property and thermal characteristics are considered to change linearly through temperature. By using transformation matrixes, the governing flow equations are altered to ordinary differential equations which are then solved numerically by RK4. For endorsement, MATHEMATICA built‐in‐function BVPh2 and ND‐Solve are also applied. The impact of physical factor like viscosity factor, variable thermal factor, Hartmann number, layer thickness, unsteadiness factor, thermocapillary number, and Prandtl number are examined on flow characteristics. For the stability analysis, error and residue errors are computed graphically. It is observed that by enhancing A, movement of the fluid particles slightly reduce and temperature increases steadily. It is determined that as N is improved the velocity profile reduces whereas temperature is augmented. Similarly, the velocity profile upsurges as improves but the temperature profile declines. Also, with rising , the fluid velocity significantly upsurges while temperature remains unaffected. The inventive part of the current homework is to dissect the magneto dynamics viscous thin‐film movement over elongated surface in the occurrence of Reynolds variable viscosity, which still not has been elaborated to date. Therefore, in the limiting case, the obtainable effort is linked with obtainable effort and initiated in outstanding agreement.