Heat and mass transfer of hydromagnetic williamson nanofluid flow study over an exponentially stretched surface with suction/injection, buoyancy, radiation and chemical reaction impacts

For engineering and design applications, nanofluid flow over a stretched sheet with heat transmit is essential. Its applications are as follows: cooling a metal shield; extrusion of plastic sheets; drawing wire; extrusion of polymers; cooling shower; metal turning process; and so forth. Existing work interpreted the learning of hydro-magneto of Williamson fluid flow with nanoparticles because of dual cases of heat transference, i.e., PEST – prescribed exponentially order surface temperature, and PEHF – prescribed exponentially order heat flux, with the suction/injection impression, radiation impact, heat source/sink parameter, and reactive chemical appearance over an exponentially permeable extended surface. The act of protectorate of linear momentum, mass, and energy is established in governing relation (mathematical equation) to detect outcomes of existing work. All links are in governing uneven PDEs, renewed in non-linear ODEs via symmetry transformations, and solved by RK-4th order method with shooting technique. The outcomes of several physical dimensionless parameter buoyancy impact, Schmidt number, magnetic parameter, and Prandtl number established by graphics and tables made by MATLAB software. The velocity increases with the local heat and concentration Grashof number. An increasing impact of temperature seen for upsurge radiation and heat generation/absorption impression. The concentration graphs decline with the growing chemical reaction parameter. Also, see the impression of local skin-friction coefficient, Nusselt number, and local Sherwood number through the tables. Validation also be done with previous research work.