An Impact of Heat Radiation on MHD Flow of a Williamson Nanofluid Analysis by Hermite Wavelet Method

The current work examines the consequence of heat radiation on the fully developed convective magnetohydrodynamic (MHD) flow of Williamson nanofluid in a vertical channel via the Hermite Wavelet Technique (HWT). An incompressible Williamson nanofluid flowing through a channel under the magnetic field action is considered. The thermophysical properties such as Brownian motion and thermophoresis are also taken into account. The primary aim of this study is to showcase that the wavelet method can be utilized as an alternative numerical method to resolve fluid dynamics issues which has a higher convergence rate compared to other classical methods. By identifying appropriate non-dimensional parameters, the governing equations turn to a non-dimension form. The derived nonlinear coupled equations are solved by the Hermite wavelet approach. Concentration, temperature and velocity profiles are analyzed visually for various scales of physical parameters. The results are evident that for enhanced Williamson parameter values, the velocity and temperature decline and concentration increase. The concentration and velocity are suppressed and temperature is enhanced due to larger magnetic values. For various physical parameters, Nusselt number and Skinfriction are analyzed numerically and compared with previous works. The influence of heat radiation on Willamson fluid has real-world implications in various domains such as Biomedical, Engineering and Industrial domains.