Effects of the side walls on the unsteady flow of a second-grade fluid in a duct of uniform cross-section

2004 ◽  
Vol 39 (8) ◽  
pp. 1379-1384 ◽  
Author(s):  
M.Emin Erdoǧan ◽  
C.Erdem İmrak
Keyword(s):  
Unsteady Flow ◽  
Cross Section ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Uniform Cross Section ◽  
Grade Fluid ◽  
Side Walls

Unsteady flow of a second grade fluid between two side walls perpendicular to a plate

2008 ◽  
Vol 9 (3) ◽  
pp. 1236-1252 ◽  
Author(s):  
C. Fetecau ◽  
T. Hayat ◽  
Corina Fetecau ◽  
N. Ali
Keyword(s):  
Unsteady Flow ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid ◽  
Side Walls

scholarly journals A note on “Taylor–Couette flow of a generalized second grade fluid due to a constant couple”

2010 ◽  
Vol 15 (2) ◽  
pp. 155-158 ◽  
Author(s):  
C. Fetecau ◽  
A. U. Awan ◽  
M. Athar
Keyword(s):  
Exact Solution ◽  
Steady State ◽  
Unsteady Flow ◽  
Couette Flow ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid ◽  
Generalized Second Grade Fluid ◽  
New Form ◽  
Second Grade Fluids

In this brief note, we show that the unsteady flow of a generalized second grade fluid due to a constant couple, as well as the similar flow of Newtonian and ordinary second grade fluids, ultimately becomes steady. For this, a new form of the exact solution for velocity is established. This solution is presented as a sum of the steady and transient components. The required time to reach the steady-state is obtained by graphical illustrations.

Analytical and numerical study for oscillatory flow of viscoelastic fluid in a tube with isosceles right triangular cross section

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Yi Li ◽  
Yaoxin Huang ◽  
Moli Zhao ◽  
Shaowei Wang
Keyword(s):  
Cross Section ◽  
Phase Difference ◽  
Oscillatory Flow ◽  
Second Grade ◽  
Retardation Time ◽  
Second Grade Fluid ◽  
Womersley Number ◽  
Periodic Pressure ◽  
Grade Fluid ◽  
Analytical Expressions

Abstract A theoretical investigation is carried out to analyze the oscillatory flow of second-grade fluid under the periodic pressure gradient in a long tube of isosceles right triangular cross section in the present study. The analytical expressions for the velocity profile and phase difference are obtained. The numerical solutions are calculated by using the finite difference method with Crank–Nicolson (C–N) scheme. In comparison with the Newtonian fluid (λ = 0), the effects of retardation time, Deborah number and Womersley number on the velocity profile and phase difference are discussed numerically and graphically. For smaller Womersley number, the behavior of second-grade fluid is dominated by viscosity. For larger Womersley number α = 20, the flow becomes more difficult to be generated under periodic pressure gradient with increasing retardation time. Furthermore, the analytical expressions of the mean velocity amplitude and phase difference are given explicitly for discussing.

EFFECTS OF HALL CURRENT ON UNSTEADY FLOW OF A SECOND GRADE FLUID IN A ROTATING SYSTEM

2005 ◽  
Vol 192 (10) ◽  
pp. 1272-1284 ◽  
Author(s):  
T. Hayat ◽  
S. Nadeem ◽  
S. Asghar ◽  
A. M. Siddiqui
Keyword(s):  
Unsteady Flow ◽  
Hall Current ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Rotating System ◽  
Grade Fluid
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