Thermal Science 2023 Volume 27, Issue Spec. issue 1, Pages: 49-56
https://doi.org/10.2298/TSCI23S1049S
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Dynamics of unsteady fluid-flow caused by a sinusoidally varying pressure gradient through a capillary tube with Caputo-Fabrizio derivative
Sadaf Maasoomah (Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, Pakistan)
Perveen Zahida (Department of Mathematics, Lahore Garrison University, Lahore, Pakistan)
Zainab Iqra (Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, Pakistan)
Akram Ghazala (Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, Pakistan)
Abbas Muhammad (Department of Mathematics, University of Sargodha, Sargodha, Pakistan), muhammad.abbas@uos.edu.pk
Baleanu Dumitru (Department of Mathematics, Cankaya University, Ankara, Turkey + Institute of Space Science, Magurele-Bucharest, Romania + Lebanese American University, Beirut, Lebanon)
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.
Keywords: Caputo-Fabrizio time-fractional derivative, second grade fluid, oscillating flow, Laplace transform, finite Hankel transform
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