MHD oscillatory flow of hybrid nanofluid along a vertical plate with ramped wall temperature, heat source, and thermal radiation: An exact solution

Abstract

AbstractThe study looks at the characteristics of an unsteady magnetohydrodynamic (MHD) free convective hybrid nanofluid flow with heat transfer to an oscillating vertical plate. The impacts of thermal radiation and internal heat generation, as well as ramped wall temperature conditions at the boundary, are included in the study. The base fluid water is combined with alumina and copper nanoparticles to model fluid flow. A flow issue like this can occur in a variety of industrial and technical processes, such as aerodynamic heating, polymer manufacturing, and so on. The built dimensional controlling equations are transformed into the nondimensional form of equations using feasible similarity variables. The Laplace transform technique is used to solve the nondimensional equations analytically. Pictorial representations are used to investigate the sway of physical characteristics on velocity and temperature distributions. For all of the implanted parameters, the values of the local skin‐friction coefficient and local rate of heat transfer are determined at the boundary and displayed in tables. The velocity profile increases as the thermal Grashof number and time increase, but the magnetic parameter has the opposite effect on the ramping surface temperature and the isothermal plate. Similarly, the temperature profile of nanofluids has been discovered to have a direct relationship with characteristics such as thermal radiation, time, and internal heat generation.