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

被引：1

作者：

Sadaf, Maasoomah ^{[1
]}

Perveen, Zahida ^{[2
]}

Zainab, Iqra ^{[1
]}

Akram, Ghazala ^{[1
]}

Abbas, Muhammad ^{[3
]}

Baleanu, Dumitru ^{[4
,5
,6
]}

机构：

[1] Univ Punjab, Dept Math, Quaid Eazam Campus, Lahore, Pakistan

[2] Lahore Garrison Univ, Dept Math, Lahore, Pakistan

[3] Univ Sargodha, Dept Math, Sargodha, Pakistan

[4] Cankaya Univ, Dept Math, Ankara, Turkiye

[5] Inst Space Sci, Bucharest, Romania

[6] Lebanese Amer Univ, Beirut, Lebanon

来源：

THERMAL SCIENCE | 2023年 / 27卷 / Special Issue 1期

关键词：

Caputo-Fabrizio time-fractional derivative; second grade fluid; oscillating flow; Laplace transform; finite Hankel transform; 2ND-GRADE FLUID; HEAT-TRANSFER;

D O I：

10.2298/TSCI23S1049S

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

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.

引用

页码：S49 / S56

页数：8