Motion and deformation of immiscible droplet in plane Poiseuille flow at low Reynolds number

2016 ◽  
Vol 28 (4) ◽  
pp. 702-708 ◽  
Author(s):  
Ding-yi Pan ◽  
Yu-qing Lin ◽  
Ling-xin Zhang ◽  
Xue-ming Shao
Keyword(s):  
Reynolds Number ◽  
Poiseuille Flow ◽  
Low Reynolds Number ◽  
Plane Poiseuille Flow ◽  
Low Reynolds

scholarly journals Low Reynolds number stability of MHD plane Poiseuille flow of an Oldroyd fluid

2000 ◽  
Vol 23 (9) ◽  
pp. 617-625 ◽  
Author(s):  
R. N. Ray ◽  
A. Samad ◽  
T. K. Chaudhury
Keyword(s):  
Magnetic Field ◽  
Reynolds Number ◽  
Poiseuille Flow ◽  
Low Reynolds Number ◽  
Transverse Magnetic ◽  
Plane Poiseuille Flow ◽  
Oldroyd Fluid ◽  
Viscoelastic Parameters ◽  
Low Reynolds ◽  
Sommerfeld Equation

The linear stability of plane Poiseuille flow at low Reynolds number of a conducting Oldroyd fluid in the presence of a transverse magnetic field has been investigated numerically. Spectral tau method with expansions in Chebyshev polynomials is used to solve the Orr-Sommerfeld equation. It is found that viscoelastic parameters have destabilizing effect and magnetic field has a stabilizing effect in the field of flow. But no instabilities are found.

Influence of Lateral Walls on Peristaltic Flow in a Rectangular Duct

2005 ◽  
Vol 127 (4) ◽  
pp. 824-827 ◽  
Author(s):  
M. V. Subba Reddy ◽  
Manoranjan Mishra ◽  
S. Sreenadh ◽  
A. Ramachandra Rao
Keyword(s):  
Reynolds Number ◽  
Aspect Ratio ◽  
Viscous Fluid ◽  
Poiseuille Flow ◽  
Low Reynolds Number ◽  
Peristaltic Flow ◽  
Rectangular Duct ◽  
Long Wavelength ◽  
Low Reynolds ◽  
Lateral Walls

The flow of a viscous fluid due to symmetric peristaltic waves propagating on the horizontal sidewalls of a rectangular duct is studied under the assumptions of long wavelength and low Reynolds number. The effect of aspect ratio β, ratio of height to width, on the pumping characteristics is discussed in detail. The results are compared to with those corresponding to Poiseuille flow.

Motion of a particle between two parallel plane walls in low-Reynolds-number Poiseuille flow

2003 ◽  
Vol 15 (6) ◽  
pp. 1711 ◽  
Author(s):  
Michelle E. Staben ◽  
Alexander Z. Zinchenko ◽  
Robert H. Davis
Keyword(s):  
Reynolds Number ◽  
Poiseuille Flow ◽  
Low Reynolds Number ◽  
Parallel Plane ◽  
Low Reynolds
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