On the entropy analysis for the three-dimensional magnetohydrodynamic nanofluid over a shrinking surface

Abstract

Optimized heat transfer analysis is an important aspect of the study considering three-dimensional nanofluid flow when several factors contribute to their role. Here, a new statistical approach is implemented to optimize the heat transfer rate for the flow over a contracting surface. The dissipative heat, exponential heat source and the cross-diffusion effect exploring the effects of Brownian and thermophoresis encourage the heat transport properties significantly. Although the numerical technique such as shooting based Runge-Kutta fourth-order is adopted for the transformed governing equations that depend upon the suitable similarity transformations, it is important to discuss the role of various constraints on the flow profiles and the important aspect is the entropy analysis due to the flow irreversibility. A statistical approach such as “Response Surface Methodology” (RSM) is utilized for optimizing heat transfer rate caused by certain factors. The regression analysis is conducted by “Analysis of Variance” (ANOVA) and concluded that the results of the R-square value give rise to a best fit proposed model for the said problem. Finally, the important outcomes of the study are; the heat transport phenomenon is influenced by the enhanced radiating heat along with the increasing Eckert number further, dissipating heat also favors in enhancing the heat transfer rate.