Heat transfer enhancement in Williamson nanofluid flow over a Darcy–Forchheimer porous surface with inclined MHD and slip effects: An application for advanced cooling technologies
Taimur Shahzad, Shahzad Munir
Abstract
Advanced cooling technologies such as electronic cooling, microturbines, and energy storage systems are dependent on heat transfer enhancement in nanofluid-based systems. The thermal dissipation and flow behavior in nanofluid flow are substantially influenced by the uses of inclined magnetohydrodynamics (MHD) and slip boundary conditions. Academics attempted to investigate the nanofluid flow over a porous stretched surface to optimize the cooling processes in industrial applications such as fabrication of polymers, papers, crystal glasses and high efficiency thermal exchanger. This work aims to explore the effects of slip and joule heating on the flow of inclined MHD Williamson nanofluid flow over porous stretched surface under the combined influence of viscous dissipation, heat source/sink, temperature-dependent fluid property and chemical reaction. The computational solution of the physical model involves the development of a system of partial differential equation (PDE), which are subsequently converted into ordinary differential equations (ODE) through the use of similarity variables. The bvp4c package of MATLAB numerically treats the resulting ODEs and produces the necessary outcomes. Numerical values and the effect of numerous governing factors on the flow field, temperature distribution and concentration distribution, Nusselt number and Sherwood number are showcased via tables. Increased Forchheimer number inputs indicate greater inertial effects and create more flow resistance, and as a result fluid velocity dropped. The larger values of the magnetic field number reduce the velocity profile. The study also revealed that velocity and thermal jump reduce the corresponding profiles. Additionally, the rise in the viscous dissipation term and Joule heating indicated improvements in the temperature profile. Temperature increases as a function of Brownian and thermophoresis factors. An increase in mass transfer rate (Sherwood number) is observed against random motion variable and Lewis number. Increases in curvature number and Prandtl number boost the rate of heat transfer (Nusselt number) at the surface and decrease for joule heating, angle of inclination and heat source. For the validation of work, the limiting cases approach is used to acquire the results and shows the best-fitted model.