MHD Bioconvection Flow and Heat Transfer of Nanofluid through an Exponentially Stretchable Sheet

Hossam A. Nabwey,Mohammad Ferdows,Khairy Zaimi,Ahmed M. Rashad

doi:10.3390/sym12050692

Abstract

Recently, bioconvection phenomenon has gained great importance in research for its use in many engineering and biological applications. Therefore, this work investigates the magnetohydrodynamic flow of a dissipative nanofluid, including gyrotactic microorganisms along an exponentially moving sheet. Since the governing equations that describe the problem are nonlinear and more complicated, similarity transformations are used to get a reduced mathematical model in which all the differential equations are ordinary and asymmetric. The computational analysis for the reduced mathematical model is carried out, employing the spectral relaxation technique (SRM) via software called MATLAB. Comparison results are also validated by using the boundary value problem solver (bvp4c) in MATLAB. The obtained results were compared with previously published researches, and a high degree of compatibility and accuracy were found symmetric. The implications of pertinent parameters on velocity, temperature, nanoparticles volume fraction, and density of the microorganism profiles are graphically presented. A decline was seen in the velocity field with augmentation in the magnetic parameter, but certain enhancement was noticed in the temperature field for augmented values of the magnetic parameter, thermophoresis, and Brownian motion parameters. A significant reduction was also noticed in the behavior of the concentration profile for augmented values of the Brownian motion parameter and Lewis number, while it was enhanced with the boost in the thermophoresis and magnetic parameters. The results also indicated that the density of the motile microorganism decreases with bioconvection Lewis number, Prandtl number, Lewis, and Peclet numbers.

Highlights

There is significant interest from researchers in recent years towards studying the heat transport of nanofluid through a stretchable sheet due to its significance in an enormous range of engineering and industrial implementations
The data are revealed in graphical form for various values of parameters, such as thermophoresis parameter, Nt; Brownian motion parameter, Nb; magnetic field parameter, M; Peclet number, Pe; Prandtl number, Pr; bioconvection Lewis number, Lb; Lewis number, Le; and bioconvection constant, σ
The comparison was performed by removing the gyrotactic microorganisms (by removing Equation (12)) and putting the magnetic parameter, M = 0; the stratification parameter, St = 0; the radiation parameter, Nr = 0; the suction parameter, fw = 0; and volume fraction, φ = 0, in Equations (12) to (14) of the paper by Loganthan and Vimala [33]

Summary

Introduction

There is significant interest from researchers in recent years towards studying the heat transport of nanofluid through a stretchable sheet due to its significance in an enormous range of engineering and industrial implementations. Hadavand et al [2] introduced a numerical study on the impact of mixed convection of Ag-water nanofluid inside a sim-circular lid-driven cavity on the temperature of an electronic silicon chip. Bazdar et al [4] presented a numerical study of turbulent flow and heat transfer of nanofluid inside a wavy microchannel considering different wavelengths. Asadi et al [5] submitted a comprehensive review to explain the effect of sonication characteristics on stability, symmetry thermophysical properties, and heat transfer of nanofluids. Asadi et al [6] investigated the methods of preparation and thermophysical characteristics of oil-based nanofluids. Asadi et al [8] conducted an experimental study on the impact of ultrasonication time on stability and thermal conductivity of MWCNT-water nanofluid. Many scientists and engineers worked in the same line, and many published papers take the presence of nanofluids and magnetic field into consideration, as well as linear/nonlinear thermal radiation, chemical reaction, porosity [10,11,12,13,14,15], etc

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