Analysis of entropy generation of a chemically reactive nanofluid by using Joule heating effect for the Blasius flow on a curved surface

This aim of the current study is to discuss the flow, heat and mass transfer in the Blasius flow of a nanofluid towards a curved surface. The energy equation is formulated by considering the Joule heating effect along with heat generation. For nanofluid model we have considered the Buongiorno model. In addition, the influence of both homogenous and heterogeneous chemical reaction is also incorporated in the nanoparticle concentration equation. For optimization of energy we have used entropy generation method (EGM). For the mathematical development of the flow problem we have used the curvilinear coordinate system. The developed partial dif-ferential equations are reduced into ordinary differential equation by employing suitable similarity trans-formations and then solved numerically by shooting method along with Runge-Kutta integrating scheme. The validity of the obtained numerical results is also verified by Keller-box method. The impacts of multifarious parameter particularly, magnetic parameter, radius of curvature, thermophoresis parameter, Brownian motion parameter, heat source parameter, Brinkman number and homogenous-heterogeneous parameters on velocity, temperature, concentration, entropy generation and Bejan number are given through graphs and are discussed in detail. Furthermore, skin friction coefficient, Nusselt number and Schmidt number are discussed for various involved parameters in form of tables.

Automated summary

The aim of this study is to investigate the flow, heat and mass transfer in the Blasius flow of a nanofluid on a curved surface. The energy equation is formulated to account for the Joule heating effect and heat generation. The Buongiorno model is used for the nanofluid, and both homogeneous and heterogeneous chemical reactions are considered in the nanoparticle concentration equation. Entropy generation method (EGM) is employed for energy optimization. The mathematical development of the flow problem is done using a curvilinear coordinate system, and the resulting partial differential equations are solved numerically using shooting method and Runge-Kutta integrating scheme. The obtained numerical results are validated using the Keller-box method, and the impacts of various parameters on velocity, temperature, concentration, entropy generation, Bejan number, skin friction coefficient, Nusselt number, and Schmidt number are presented and discussed.