Mixed convection flow in a channel with a dimpled section and adiabatic cylindrical obstacle under the influence of magnetic and Joule effects

Abstract

This study investigates the mixed convection flow in a channel with a dimpled section and an adiabatic cylindrical obstacle under the influence of a magnetic field. The channel has a heated dimpled portion, while the flat horizontal walls are adiabatic. The energy equation considers the Joule heating effect, and the resulting momentum and thermal transport equations are numerically solved using the Galerkin weighted residual finite element method. The study discusses the flow and heat transfer characteristics for different values of the Joule heating parameter, Reynolds, Hartman, and Rayleigh numbers. The results show that increasing Hartmann and Joule heating parameters reduce average heat transfer rates while increasing Prandtl, Reynolds, and Rayleigh numbers enhances it. This analysis's outcomes will help design Ohmic heating systems like magnetic fluid power actuators and thermal processing gadgets for particulate food products. The novel quantitative findings in this study include enhancement in heat transfer with increasing Prandtl, Reynolds, and Rayleigh numbers. Furthermore, the adiabatic cylindrical obstacle near the dimpled section significantly affects the heat transfer rates, resulting in complex flow patterns. The results of this study can be used in magnetic fluid power actuators, thermal processing gadgets for particulate food products, and heat exchangers.

Keywords

• Mixed convection
• Dimpled Channel
• Cylindrical obstacle
• Joule heating
• Magnetic field
• Finite element scheme