Abstract

On the account of motivating fabrication of bioconvection phenomenon in various engineering and industrial systems, an attention has been devoted by researchers in current decade. Therefore, this theoretical investigation deals with the utilization of bioconvection phenomenon in flow of tangent hyperbolic nanofluid over an accelerated moving surface. It is assumed that the flow is generated due to periodically motion of the sheet. The energy equation is modified by entertaining the nonlinear thermal radiation features. The chemical reaction effects are elaborated in the concentration equation. Moreover, the significance of present flow problem increases by utilizing the thermophoresis and Brownian motion effects. The governing equations are transmuted into non-dimensional form with utilization of appropriate quantities. The analytical solution is computed by using homotopy analysis method. The implications of promising parameters on velocity profile, temperature profile, nanoparticles volume fraction and microorganisms profile is evaluated graphically. The presence of radiation parameter, thermophoresis and Brownian motion effects are more frequent for enhancement of heat transfer. The reported observations can efficiently use in the improvement of heat transfer devices as well as microbial fuel cells.

Highlights

  • The interest has been developed in recent few years towards the study of non-Newtonian materials by numerous instigators due to their valuable consequences and practical industrial, chemical, biochemical engineering and mechanical applications [1, 2, 3]

  • Hayat et al [5] studied a two-dimensional flow of tangent hyperbolic fluid in presence of mass flux conditions and thermophoresis effects

  • Observing the above highlighted review, it is noted that the bioconvection effects in flow of tangent hyperbolic nanoparticles in presence of gyrotactic microorganisms and nonlinear thermal radiation has not been presented yet

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Summary

Introduction

The interest has been developed in recent few years towards the study of non-Newtonian materials by numerous instigators due to their valuable consequences and practical industrial, chemical, biochemical engineering and mechanical applications [1, 2, 3]. The numerical solution of the simulated flow problem was suggested by using shooting technique Another interesting analytical based approach regarding flow of tangent hyperbolic nanofluid over an oscillatory moving surface was elaborated by Khan et al [9]. Khan et al [26] investigation the slip flow of nanofluid with gyrotactic microorganisms over vertical plate In another contribution, Khan et al [27] analyzed the bioconvection in non-Newtonian fluid over a vertical surface in presence of free stream velocity. Observing the above highlighted review, it is noted that the bioconvection effects in flow of tangent hyperbolic nanoparticles in presence of gyrotactic microorganisms and nonlinear thermal radiation has not been presented yet. The solution of inserted problem is carefully computed via homotopy analysis scheme

Problem formulation
Homotopy analysis method
Convergence analysis
Temperature profile
Physical quantities
Conclusions
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