Behaviour of effective heat transfer rate in radiating micropolar nanofluid over an expanding sheet with slip effects

Abstract

The enhancement in the heat transfer rate is one of the vital aspects nowadays for the main objective of various industries to get better quality as well as the longevity of the product. Not only in industries but also in various areas such as in drug delivery, peristaltic pumping process, etc. it is found that this will be benefited by the utility of the various nanofluids that gives rise to enhanced thermal conductivity. Therefore, the present investigation leads to analyse the performance of effective heat transfer rate considering the flow of radiating micropolar nanofluid through a permeable expanding sheet embedding within a permeable medium. Precisely, the consideration of slip boundary conditions of both velocity and thermal profile enhances the flow phenomena. The main focus of the study is the consideration of Gherasim model viscosity and Hamilton-Crosser model which energies the thermal properties. Shooting based “Runge-Kutta fourth-order” technique is useful for the solution of governing equation followed by the transformation of these equations into dimensional form to the non-dimensional for with the help of suitable similarity rules. Further, a robust statistical approach i.e. “response surface methodology” is adopted to get optimized heat transfer rate for various factors in two different conditions such as injection and suction. However, the validation is presented through hypothetical test comparing the variances. Moreover, the important outcomes are: Nanoparticle concentration encourages the flow properties along with the heat transport phenomena. The thermal energy due to the enhanced thermal radiation accelerates the heat transmission rate for both the case of suction/injection.

Keywords

• Micropolar nanofluid
• Permeable expanding sheet
• Hamilton-crosser model
• Response surface methodology