Abstract

This research work presents the entropy analysis of the three-dimensional bioconvection flow of nanofluid over a linearly moving plate in the presence of magnetic effects. Nanoparticles and microorganisms have been considered in the fluid, with the magnetic field acting in the transverse direction to the plate. The viscous dissipation term is also considered in the energy equation. The partial differential equations (PDEs) of the boundary layer region of this problem are transformed with suitable non-similarity transformations into a system of nonlinear PDEs. Afterward, the local non-similarity method via the BVP4c MATLAB algorithm with a second level of truncation delivers a solution of the problem. The effect of important parameters such as magnetic field, Eckert number, thermophoresis, Prandtl number, Peclet number, Brownian motion, Schmidt number, Brinkman number, Lewis number, slip factor on temperature distribution, concentration of nanofluid, density of motile microorganisms, and entropy generation are shown in the graphical profiles.

Highlights

  • Bioconvection is a process that occurs when denser microorganisms swim in a fluid in an upward direction.[1]

  • This work investigated the influence of different physical parameters on entropy generation of three-dimensional bioconvection flow of nanofluid in the presence of magnetic field over a moving plate

  • The governing equation of the problem is transformed using non-similarity variables and the local non-similarity method up to second order truncation to obtain a system of ordinary differential equations

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Summary

INTRODUCTION

Bioconvection is a process that occurs when denser microorganisms swim in a fluid in an upward direction.[1]. Entropy generation is very useful for the enhancement of system performance, modernization of systematic presentations, and demolishing important energy. It is useful in a device running on the concept of thermodynamics and mechanics, which are treated with reversible energy losses.[24] San et al.[25] examined a two-dimensional channel to check the effects of entropy on forced convection heat and mass transfer by using constant heat flux. Non-similarity transformations and the local non-similarity method with first and second truncation are applied on the flow model to transform it into a coupled system of ordinary differential equations (ODEs) This system of ODEs is solved numerically by the BVP4c algorithm. This study will help us in better understanding of the factors contributing to the generation of entropy and effects of viscous dissipation on the energy equation (2)

MATHEMATICAL FORMULATION
LOCAL NON-SIMILARITY
Second order truncation
ENTROPY ANALYSIS
NUMERICAL SOLUTION
RESULTS AND DISCUSSION
CONCLUSIONS
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