Dual solutions for opposing mixed convection in porous media

TL;DR

This paper investigates the steady mixed convection flow and heat transfer around a cooled vertical permeable cylinder in a porous medium, revealing the existence of dual solutions under certain conditions through numerical analysis.

Contribution

It provides the first detailed numerical analysis demonstrating dual solutions for mixed convection flow around a permeable cylinder in porous media.

Findings

Existence of dual solutions beyond a critical parameter value.

Flow and heat transfer characteristics depend on governing parameters.

Numerical methods effectively capture multiple solution branches.

Abstract

The problem of steady mixed convection boundary-layer flow on a cooled vertical permeable circular cylinder embedded in a fluid-saturated porous medium is studied. Here, we evaluate the flow and heat transfer characteristics numerically for various values of the governing parameters and demonstrate the existence of dual solutions beyond a critical point.