Features of entropy optimization on MHD couple stress nanofluid slip flow with melting heat transfer and nonlinear thermal radiation

F Mabood,T A Yusuf,Gabriella Bognár

doi:10.1038/s41598-020-76133-y

F Mabood, T A Yusuf + Show 1 more

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https://doi.org/10.1038/s41598-020-76133-y

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Abstract

Numerical analysis is performed for magnetohydrodynamics (MHD) couple stress nanofluid flow over a stretching sheet with melting and nonlinear radiation. The second law of thermodynamics is also incorporated with first-order slip. Nanofluid characteristics for thermophoresis and Brownian moments are encountered. The system that comprises differential equations of partial derivatives is remodeled into the system of differential equations via similarity transformations and then solved numerically through the Runge–Kutta–Fehlberg fourth-fifth (RKF-45) order technique. The physical parameters, which emerges from the derived system are discussed in graphical format. The significant outcomes of the current investigation are that the velocity field decays for a higher magnetic parameter. Another, important outcome of the study is both temperature and concentration are increasing functions of the first-order slip. Nusselt and Sherwood numbers are decreasing with an increase in magnetic strength. Further, Bejan number augment due to enhancement in the first-order slip and couple stress fluid parameters whereas a differing tendency is shown for magnetic and radiation parameters.

Highlights

Numerical analysis is performed for magnetohydrodynamics (MHD) couple stress nanofluid flow over a stretching sheet with melting and nonlinear radiation
The heat and mass transfer for second grade fluid flow and micropolar hybrid nanofluid flow over stretching sheet in magnetic field was analysed by Awan et al.[17] and Ai-Hanava et al.[18]
Mabood et al.[21] considered a surface with a melting heat effect on a Sisko nanofluid with nonlinear thermal radiation

Summary

Introduction

Numerical analysis is performed for magnetohydrodynamics (MHD) couple stress nanofluid flow over a stretching sheet with melting and nonlinear radiation. Kumar et al.[32] explored the impact of nonlinear thermal radiation and a second-order slip flow of a micropolar viscous Newtonian fluid through a convective stretched surface. They reported that both the radiation and temperature ratio parameters have the tendency to influence a hike in the thermal field. B ejan[39] introduced a new path of investigation in the research field “minimization of entropy generation” In respect to this phenomenon, Makinde and Eegunjobi[40] examined the analysis of entropy generation on the flow of couple stress fluid with nanoparticles and nonlinear radiation. Recent articles concerning various aspects of entropy analysis, MHD and heat flow phenomena are reported in Refs.[44,45,46,47,48,49,50,51,52,53,54,55,56]

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