The effect of radiation and porosity on MHD nanofluid flow and heat transfer across a stretching cylinder

Heat transfer due to fluid flow plays a significant role in the quality of the final product in various industrial setups. The thermophysical properties of nanofluids can help control the heat transfer by changing the fluid temperature, size, and shape of the nanoparticles and their concentration in the base fluid. This paper presents a study on the effects of uniform radiation and heat source on the nanofluid flow porous medium, under the action of transverse magnetic, through a stretching cylinder comprising a Darcy's type. The MATLAB function bvp4c is utilized to find the approximate solutions to the boundary value problem. The effective parameters like heat source, permeability, thermal radiation, MHD, Reynolds number, Prandtl number, and nanoparticles volume fraction on temperature and velocity profiles for Cu- water nanofluid, are discussed. For representative values of the governing parameters, the velocity profile shows an increasing behavior for augmentation in the permeability parameter and decreases for increasing MHD parameter, Reynolds number, and nanoparticles volume fraction. The temperature profile increases for MHD, radiation, and heat source parameters, nanoparticles volume fraction, and falls for increasing the Prandtl number, Reynolds number, and permeability parameter. It is found that silver nanoparticles exhibit the maximum temperature within the boundary layer.