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Significance of inclined magnetic field on nano-bioconvection with nonlinear thermal radiation and exponential space based heat source: a sensitivity analysis

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Abstract

The characteristics of heat transport in nanoliquids under the influence of bio-convection (motile microorganism) have significant applications, since nanoliquids have greater capacity to improve heat transport properties than conventional liquids. With these incredible nanoliquid characteristics, the main objective of current research is to examine the impact of the exponential heat source linked to space and the inclined magnetic force on the nano-bioconvective flow between two turntables. The effect of nonlinear thermal radiation, variable thermal conductivity and viscosity aspects are also considered. The complicated nonlinear problem is treated numerically by using Finite difference method. Optimization procedure implemented via Response surface Methodology for the effective parameters thermophoresis parameter, Hartmann number and radiation parameter on the heat transfer rate. The axial velocity is a dwelling function of the inclined angle of the magnetic field, and the variable viscosity parameter. The temperature profile hikes with an exponential space-related heat source and thermal radiation aspects. Also, the heat transport rate is highly sensitive towards nonlinear thermal radiation parameter compared to the thermophoresis effect and Hartmann number.

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Acknowledgements

The authors express their sincere thanks to the Management, CHRIST (Deemed to be University), Bangalore, India for their support to complete this research work. Also, special thanks to the editor and anonymous reviewers for their constructive suggestions

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Authors and Affiliations

  1. Department of Mathematics, CHRIST (Deemed to be University), Bangalore, Karnataka, 560029, India

    B. Mahanthesh & K. Thriveni

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  1. B. Mahanthesh
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  2. K. Thriveni
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Contributions

BM: Mathematical formulation, solution, proof reading. KT: Formulation, computing the solution, technical writing.

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Correspondence to B. Mahanthesh.

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Mahanthesh, B., Thriveni, K. Significance of inclined magnetic field on nano-bioconvection with nonlinear thermal radiation and exponential space based heat source: a sensitivity analysis. Eur. Phys. J. Spec. Top. 230, 1487–1501 (2021). https://doi.org/10.1140/epjs/s11734-021-00045-9

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