Chemical Engineering Journal Advances (Aug 2022)
Optimization of heat transfer rate in a moving porous fin under radiation and natural convection by response surface methodology: Sensitivity analysis
Abstract
The remarkable advancement has been made in area of investigation and extensive demands for permeable fin in recent past. Permeable fins have numerous prospective employments including industrial applications specifically in engineering implementations such as in heat exchangers and super heaters. Additionally, the permeable fin performs a key role in aeronautic engineering. In this study the sensitivity analysis of natural convection and radiation transmission of heat in permeable fin is established. The main objective of the study is to optimize the rate of transmission of heat in a moving permeable fin in natural convection and radiation environment by utilizing Response Surface Methodology (RSM). Also, sensitivity of heat transfer rate is evaluated using RSM. The Darcy model is applied to imitate the impacts of permeable medium and convective heat. Midpoint (midrich) method is utilized to solve the energy equation numerically. The outcomes represents that the temperature of the fin enhance to the neighboring temperature as the value of permeable parameter rises. It is investigated that the heat along the length of fin decline for finite fin as the value of the dimensionless ratio of the surrounding temperature T∞to the difference of the base temperature Tb and surrounding temperature and radiation parameter rises. Also, rate of transmission of heat at the fin tip bring down as the value of Peclet number increased. The outcomes of sensitivity analysis represents that expansion in porosity parameter increases the heat transmission rate and its highest value is observed in level of (-1). Also, heat transfer rate has a non-negative sensitivity towards permeable parameter. However, the decline in dimensionless ratio of the surrounding temperature T∞ to the difference of the base temperature Tb and surrounding temperature and radiation parameter increases the heat transmission rate and its highest value is observed in level of (-1) and (+1). Furthermore, heat transmission rate has a non-positive sensitivity towards dimensionless ratio of surrounding temperature T∞ to the difference of base temperature Tb and surrounding temperature and radiation parameter.
