A scientific report on Stokes' second problem for a transient nanofluid model with a heated boundary in the presence of a magnetic field

Abstract

Stoke's second problem is a well-known classical boundary layer (BL) issue involving the time-dependent shear flow of viscous fluid about a flat porous plate in the magnetic field. This study has several applications, including chemical engineering, nanotechnology, heat conduction issues, and biological and medical sciences. A theoretical heat transfer (HT) analysis analyzes Stoke's second problem for an MHD time-dependent nanofluid flow through a porous plate. It produces a sinusoidal oscillation that is perpendicular to the flat plate. Copper (Cu) nanoparticles are suspended in water or ethylene glycol (EG), a base fluid. Modeling the fluid flow uses dimensional PDEs, which are then altered into dimensionless forms by adding the proper parameters. With no slip, the resulting non-dimensional PDEs are handled analytically by the Laplace transform approach (LTA). It is demonstrated that EG-Cu nanofluid has greater skin friction and higher HT rate than water-Cu nanofluid. Furthermore, skin friction is reduced by magnetic and porosity parameters, whereas the nanoparticle solid volume fraction and porosity parameters improve HT.