Mathematical analysis of Williamson nanofluid flow under radiation effects through slender cylinder

Abstract

ABSTRACT Current research work demonstrates Williamson nanofluid flow through a slender cylinder. A slender cylinder has not been discussed before with Williamson nanofluid under thermal radiation effects, which is the novelty of the problem. The mass and heat transfer are analyzed under the different assumptions of viscosity, density, and thermal conductivity. Conservation of momentum and energy is modeled to exhibit the impact of the problem. Flow governing equations are initially transformed into ordinary differential equations and then demonstrated numerically by using MATLAB bvp4c. The significance of the present study is to understand how radiation interacts with Williamson’s fluid inside a slender cylinder, which is vital for optimizing heat transfer processes. This knowledge can be applied to design more efficient heat exchangers, boilers, and cooling systems in industries ranging from power generation to manufacturing. The effects of dimensionless numbers on the non-dimensional fields are investigated and shown graphically. The main findings are that the velocity curve reveals the decreasing behavior for curvature and buoyancy parameters. Radiation parameter and Prandtl number boost the temperature profile. The thermophoresis parameter decreases the concentration profile, while the Brownian parameter increases it. The heat transfer curve goes up, while skin friction and Sherwood number go down under the effects of different parameters.