Williamson MHD nanofluid flow with radiation effects through slender cylinder

Abstract

The aim of this article is to analyze the Williamson nanofluid flow with magnetohydrodynamics (MHD) and radiation effects through the slender cylinder. The mass and heat transfer are analyzed under the different assumptions of viscosity, density, and thermal conductivity. Conservation of momentum and energy are modeled to exhibit the impact of the problem. The Buongiorno model is used for this analysis. The flow of Williamson nanofluid through a slender cylinder along with magnetohydrodynamics and radiation effects with constant viscosity is not studied yet. Which is the novelty of current research work. Flow governing equations are firstly converted into ordinary differential equations and then demonstrated numerically by using MATLAB bvp4c. The effects of dimensionless numbers on the non-dimensional fields are investigated and shown in graphical and tabular form. We concluded that the velocity profile reveals the decreasing behavior for curvature and buoyancy parameter. Radiation parameter and Prandtl number boost the temperature profile. The thermophoresis parameter decreases the concentration profile while the Brownian parameter increases it. Applications of this specific study in various scientific and engineering fields that ultimately benefit humanity's health, technology, and environment.

Keywords

• Williamson model
• Numerical solution
• Slender cylinder
• MHD
• Radiation
• Nanofluid