THERMAL SCIENCE

International Scientific Journal

Maasoomah Sadaf

,

Zahida Perveen

,

Iqra Zainab

,

Ghazala Akram

,

Muhammad Abbas

,

Dumitru Baleanu

DYNAMICS OF UNSTEADY FLUID-FLOW CAUSED BY A SINUSOIDALLY VARYING PRESSURE GRADIENT THROUGH A CAPILLARY TUBE WITH CAPUTO-FABRIZIO DERIVATIVE

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.
KEYWORDS
Caputo-Fabrizio time-fractional derivative, second grade fluid, oscillating flow, laplace transform, finite Hankel transform
PAPER SUBMITTED: 2022-03-01
PAPER REVISED: 2022-03-14
PAPER ACCEPTED: 2022-04-04
PUBLISHED ONLINE: 2023-04-08
DOI REFERENCE: https://doi.org/10.2298/TSCI23S1049S
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Special issue 1, PAGES [49 - 56]
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Dynamics of unsteady fluid-flow caused by a sinusoidally varying pressure gradient through a capillary tube with Caputo-Fabrizio derivative

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence