Hall effect on couple stress 3D nanofluid flow over an exponentially stretched surface with cattaneo christov heat flux model
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Publication Details
Author list: Sha Z., Dawar A., Alzahrani E.O., Kumam P., Jabar Khan A., Islam S.
Publisher: MDPI
Publication year: 2019
Journal: Entropy (1099-4300)
Volume number: 7
Start page: 64844
End page: 64855
Number of pages: 12
ISSN: 1099-4300
eISSN: 1099-4300
Languages: English-Great Britain (EN-GB)
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Abstract
In the last decade, nanoparticles have provided numerous challenges in the field of science. The nanoparticles suspended in various base fluids can transform the flow of fluids and heat transfer characteristics. In this research work, the mathematical model is offered to present the 3D magnetohydrodynamics Darcy-Forchheimer couple stress nanofluid flow over an exponentially stretching sheet. Joule heating and viscous dissipation impacts are also discussed in this mathematical model. To examine the relaxation properties, the proposed model of Cattaneo-Christov is supposed. For the first time, the influence of temperature exponent is scrutinized via this research article. The designed system of partial differential equations (PDE's) is transformed to set of ordinary differential equations (ODE's) by using similarity transformations. The problem is solved analytically via homotopy analysis technique. Effects of dimensionless couple stress, magnetic field, ratio of rates, porosity, and coefficient of inertia parameters on the fluid flow in x- and y-directions have been examined in this work. The augmented ratio of rates parameter upsurges the velocity profile in the x-direction. The augmented magnetic field, porosity parameter, coefficient of inertia, and couple stress parameter diminishes the velocity field along the x-direction. The augmented magnetic field, porosity parameter, coefficient of inertia, ratio of rates parameter, and couple stress parameter reduces the velocity field along the y-axis. The influences of time relaxation, Prandtl number, and temperature exponent on temperature profile are also discussed. Additionally, the influences of thermophoresis parameter, Schmidt number, Brownian motion parameter, and temperature exponent on fluid concentration are explained in this work. For engineering interests, the impacts of parameters on skin friction and Nusselt number are accessible through tables. ฉ 2019 by the authors.
Keywords
Cattaneo-Christov heat flux model, couple stress fluid