Entropy minimization study of Maxwell nanofluid flow using oxides nanoparticles under transpiration and magnetic dissipation effects

Abstract

Entropy generation is a measure of the irreversibility and inefficiency in a thermodynamic process. Minimizing entropy generation is desirable as it indicates a more efficient and optimized system. The present study focuses on flow dynamics and entropy minimization analysis in the MHD Maxwell nanofluid flow over the elastic surface with transpiration effects at the surface boundary. Furthermore, effects of important quantities such as magnetic field, electrical conductivity, joule heating, viscous dissipation, and heat source/sink are also considered. Two different types of nanofluids copper oxide-water $(\mathit{CuO}-H_{2}O)$ and iron oxide-water $(F{e}_3{O}_4-H_{2}O)$ are used, whereas the volume fraction of both nanofluids and base fluid are same. Similarity solutions are achieved by using similarity variables to transform the governing PDE’s systems into dimensionless ODE’s systems. The MATLAB algorithm bvp4c is used to perform numerical computations of nonlinear systems. Significant results of different parameters, such as volume fraction of nanoparticles, Eckert number, and magnetic parameter on entropy analysis, Bejan number, and velocity/temperature are comprehensively presented and discussed through graphs. It is realized that entropy minimization is possible for smaller values of nanoparticles volume fraction and Eckert number. The current analysis and data has significant uses in reducing energy losses in petroleum and chemical engineering systems such as production enhancement, thermal energy storage, energy efficient cooling systems.

Keywords:

• Bejan number
• bvp4c
• copper oxide
• entropy
• heat source/sink
• iron oxide
• joule heating
• Maxwell nanofluid

Data statement

The data of the present findings will be made available on reasonable request.