Dynamics Of Unsteady Fluid-Flow Caused By A Sinusoidally Varying Pressure Gradient Through A Capillary Tube With Caputo-Fabrizio Derivative
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Date
2023
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Publisher
Vinca inst Nuclear Sci
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Abstract
This paper presents a study of the unsteady flow of second grade fluid through a capillary tube, caused by sinusoidally varying pressure gradient, with fractional derivative model. The fractional derivative is taken in Caputo-Fabrizio sense. The analytical solution for the velocity profile has been obtained for non-homogenous boundary conditions by employing the Laplace transform and the finite Hankel transform. The influence of order of Caputo-Fabrizio time-fractional derivative and time parameter on fluid motion is discussed graphically.
Description
Abbas, Dr. Muhammad/0000-0002-0491-1528; Zahida, Dr Zahida Perveen/0009-0002-6040-5619
Keywords
Caputo-Fabrizio Time-Fractional Derivative, Second Grade Fluid, Oscillating Flow, Laplace Transform, Finite Hankel Transform
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Citation
Sadaf, Maasoomah...et.al. (2023). "Dynamics Of Unsteady Fluid-Flow Caused By A Sinusoidally Varying Pressure Gradient Through A Capillary Tube With Caputo-Fabrizio Derivative", Thermal Science, Vol.27, No.SI1, pp.S49-S56.
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Q4
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Q3
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Volume
27
Issue
Start Page
S49
End Page
S56