Analysis of exponentially varying viscosity and thermal conductivity on a tangent hyperbolic fluid
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Analysis of exponentially varying viscosity and thermal conductivity on a tangent hyperbolic fluid I. S. Oyelakin1
· P. Sibanda1
Received: 13 November 2019 / Accepted: 12 February 2020 © Sociedad Española de Matemática Aplicada 2020
Abstract We present an analysis of the significance of exponentially varying viscosity and thermal conductivity in the magnetohydrodynamic flow of a tangent hyperbolic fluid. The study assumes the combined impact of viscous dissipation, chemical reaction and variable transport properties on the flow. The model equations are reduced to a system of parabolic partial differential equations using a non-similar solution. We solve the coupled nonlinear partial differential equations using the multi-domain bivariate spectral quasi-linearisation method. Among other findings, the study shows that varying the viscosity reduces fluid flow resistance and this leads to an increase in the fluid velocity while the temperature and species concentration profiles decrease. The flow heat and mass transfer rates increase with the magnetic variable. Keywords Variable viscosity · Tangent hyperbolic fluid · Magnetic field · Chemical reaction · Multi-domain bivariate spectral quasi-linearization method Mathematics Subject Classification 80A20
1 Introduction A tangent hyperbolic fluid is a non-Newtonian fluid where the rheological equation is valid in the range Γ γ˙
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