Assessment of temperature distribution on inclined porous rod with a convective and insulated tip

Abstract

The following work focuses on determining the temperature profile of porous rod using radiative and insulated tip conditions. In addition, graphs are generated to investigate the impact of several non-dimensional attributes on the distribution of temperature for various modes of energy exchange, such as boiling of nucleates and radiative energy exchange, including the convection-conduction parameter, permeability parameter, and radiation-conduction parameter. ND solve technique is applied to solve the generated nonlinear partial differential equation by using MATHEMATICA. The transient thermal response has been visually presented for various key parameters with ranges p=0,2, Nr=1,5,10, Nc=0.3,0.4,0.5, Pe=0.1,0.2,0.3, Q=0.1,0.2,0.3, Bi=1,2,3. The graphical outcome reveals that temperature distribution is a decreasing function of radiation parameter. Exposure time of the rod to the environment gets short for the enhancement in Peclet number. Initially temperature contours are linear, as time progresses the exponential behavior is developed.

Keywords

• Rod
• Efficiency
• ND solve
• Insulated tip
• Convective tip