4.5 Article

Numerical Investigation of the Pulsatile Flow of Viscous Fluid in Constricted Wall Channel with Thermal Radiation

Journal

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
Volume 15, Issue 4, Pages 1001-1022

Publisher

GLOBAL SCIENCE PRESS
DOI: 10.4208/aamm.OA-2020-0394

Keywords

Constricted channel; pulsatile flow; thermal radiation; magnetic field; Strouhal num-ber; Prandtl number

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The article investigates the heat transfer in the pulsatile flow of an electrically conducting viscous fluid in a constricted channel under the effect of the magnetic field and thermal radiation. The governing equations are solved numerically using the finite difference method, with stream-vorticity function formulation for low conducting fluids. The influence of flow parameters and emerging parameters on flow profiles, skin friction coefficient, and Nusselt number are examined, showing a more regular pattern upstream of the constriction.
The main theme of the current article is to investigate the heat transfer in the pulsatile flow of an electrically conducting viscous fluid in a constricted channel under the effect of the magnetic field and thermal radiation. The unsteady govern-ing equations simplified for low conducting fluids are solved numerically by finite difference method using stream-vorticity function formulation. The influence of the flow parameters such as the Hartmann number (magnetic parameter), Strouhal num-ber (flow pulsation parameter), Prandtl number, and radiation parameter is studied on the relevant flow profiles. The influence of different emerging parameters on the skin friction coefficient and Nusselt number are examined, as well. In general, the profiles are observed to exhibit a relatively more regular pattern upstream of the construction than that downstream of the constriction.

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