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

共 31 条

[21] Unsteady MHD flow of Maxwell fluid with Caputo–Fabrizio non-integer derivative model having slip/non-slip fluid flow and Newtonian heating at the boundary
Muhammad Mansha Ghalib
Azhar Ali Zafar
Muhammad Farman
Ali Akgül
M O Ahmad
Aqeel Ahmad
Indian Journal of Physics, 2022, 96 : 127 - 136
[22] A study of two-dimensional unsteady dusty fluid flow under varying pressure gradient
Department of Studies and Research in Mathematics, Kuvempu University, Shimoga, Karnataka State, India
Modell Meas Control B, 2006, 1-2 (1-10):
[23] Unsteady flow of a dusty fluid between two oscillating plates under varying linear pressure gradient
Sushma, N.T.
Desai, Shilpa
Varsha, M.S.
Gireesha, B.J.
Bagewadi, C.S.
Modelling, Measurement and Control B, 2007, 76 (1-2): : 1 - 10
[24] UNSTEADY-FLOW OF A DUSTY FLUID THROUGH A CIRCULAR PIPE WITH IMPULSIVE PRESSURE-GRADIENT
DATTA, N
DALAL, DC
ACTA MECHANICA, 1992, 95 (1-4) : 51 - 57
[25] Wall slip and non-integer order derivative effects on the heat transfer flow of Maxwell fluid over an oscillating vertical plate with new definition of fractional Caputo-Fabrizio derivatives
Tahir, Madeeha
Imran, M. A.
Raza, N.
Abdullah, M.
Aleem, Maryam
RESULTS IN PHYSICS, 2017, 7 : 1887 - 1898
[26] UNSTEADY HYDROMAGNETIC FLOW OF A NON-NEWTONIAN FLUID WITH PERIODIC PRESSURE-GRADIENT THROUGH A POROUS STRAIGHT CHANNEL
ELSAKKA, AG
ELWALY, EAA
PHYSICA SCRIPTA, 1988, 37 (04): : 535 - 537
[27] UNSTEADY FLOW OF A 2ND ORDER SIMPLE LIQUID THROUGH A RECTANGULAR TUBE UNDER INFLUENCE OF A PERIODIC PRESSURE GRADIENT
RAO, NVS
RAMACHAR.NC
NOWACKI, W
BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES TECHNIQUES, 1965, 13 (10): : 903 - &
[28] Experimental validation of a model allowing pressure gradient determination for non-Newtonian purely viscous fluid-flow through packed beds
Sabiri, NE
Comiti, J
CHEMICAL ENGINEERING SCIENCE, 1997, 52 (20) : 3589 - 3592
[29] UNSTEADY FLOW OF A CONDUCTING DUSTY GAS THROUGH A CIRCULAR TUBE UNDER TIME DEPENDENT PRESSURE GRADIENT IN PRESENCE OF A TRANSVERSE MAGNETIC FIELD.
Mitra, P.
Revue roumaine des sciences techniques. Serie de mecanique appliquee, 1981, 26 (06): : 795 - 803
[30] Investigating Pressure Gradient Dynamics in Two-phase Fluid Flow through Porous Media: An Experimental and Numerical Analysis
Ashouri, H.
Mohammadiun, H.
Mohammadiun, M.
Sabet, G. Shafiee
Bonab, M. H. Dibaee
Sabbaghzadeh, F.
JOURNAL OF APPLIED FLUID MECHANICS, 2024, 17 (07) : 1499 - 1513

← 1 2 3 4 →