4.7 Article

Thermophyical properties and internal energy change in Casson fluid flow along with activation energy

Journal

AIN SHAMS ENGINEERING JOURNAL
Volume 11, Issue 4, Pages 1355-1365

Publisher

ELSEVIER
DOI: 10.1016/j.asej.2020.02.011

Keywords

Internal energy change; Variable thermo-physical properties; Activation energy; Viscoelastic fluid; Rotating frame; Exponential stretching

Funding

  1. King Khalid University, Abha, Saudi Arabia [R.G.P-2/29/41]

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This paper examines the steady-state three dimensional momentum and internal energy change in rotating viscoelastic fluid flow along with convective boundary conditions. In most of the literature, the thermophysical properties of the fluid are assumed to be constant. But current analysis fills this gap by taking viscosity, conductivity and diffusivity to be temperature dependent. In order to create a chemical reaction in a system activation energy is added. Velocity of the fluid over an exponential three dimensional surface is varied exponentially while a Casson fluid model is assumed for temperature dependent viscosity. A similarity transformation diminishes the Navier-Stokes partial differential equations into ordinary differential equations and then solved numerically using Bvp4c for the velocity, temperature and concentration distributions. Moreover, drag forces, heat and mass transfer rates near the surface are calculated numerically in tabular form. Outcomes are discussed for parameters appearing in dimensionless system like rotating parameter, the viscoelastic parameter, Eckert number, Prandtl number, temperature distinction parameter, Schmidt number, thermal and concentration Biot numbers and variable viscosity, conductivity and diffusivity parameters. We found that the minimum force required to initiate the fluid motion increases with an increment in local rotation parameter Omega. An accretion in Omega exhibits curiously oscillatory pattern in velocity profile. Casson fluid b and viscosity parameter 0(r) has adverse influence on temperature profile. The fitted rate n and temperature difference parameter delta have conflicting influence on concentration profile. Activation energy E and Eckert number Ec causes increment in the behavior of temperature profile. In addition, numerical data of previous papers are matched with current data. (C) 2020 The Authors. Published by Elsevier B.V.

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