Unsteady flow of a viscous fluid between two parallel disks with a time varying gap width and a magnetic field

1995 ◽  
Vol 33 (6) ◽  
pp. 781-791 ◽  
Author(s):  
M. Kumari ◽  
H.S. Takhar ◽  
G. Nath
Keyword(s):  
Magnetic Field ◽  
Viscous Fluid ◽  
Unsteady Flow ◽  
Time Varying ◽  
Parallel Disks ◽  
Gap Width

scholarly journals MHD flow of an elastico-viscous fluid under periodic body acceleration

2000 ◽  
Vol 23 (11) ◽  
pp. 795-799 ◽  
Author(s):  
E. F. El-Shehawey ◽  
Elsayed M. E. Elbarbary ◽  
N. A. S. Afifi ◽  
Mostafa Elshahed
Keyword(s):  
Magnetic Field ◽  
Exact Solution ◽  
Viscous Fluid ◽  
Unsteady Flow ◽  
Flow Rate ◽  
Axial Velocity ◽  
Mhd Flow ◽  
Body Acceleration ◽  
Electrical Conducting ◽  
Analytical Expressions

Magnetohydrodynamic (MHD) flow of blood has been studied under the influence of body acceleration. With the help of Laplace and finite Hankel transforms, an exact solution is obtained for the unsteady flow of blood as an electrical conducting, incompressible and elastico-viscous fluid in the presence of a magnetic field acting along the radius of the pipe. Analytical expressions for axial velocity, fluid acceleration and flow rate has been obtained.

Unsteady Viscous Flow Between Parallel Disks With a Time-Varying Gap Width and a Central Fluid Source

1987 ◽  
Vol 109 (4) ◽  
pp. 394-402 ◽  
Author(s):  
S. Ishizawa ◽  
Tooru Watanabe ◽  
Koji Takahashi
Keyword(s):  
Series Expansion ◽  
Stokes Equations ◽  
Asymptotic Series ◽  
Navier Stokes ◽  
Time Varying ◽  
Linear Interaction ◽  
Fluid Source ◽  
Constant Flow Rate ◽  
Parallel Disks ◽  
Gap Width

A theoretical analysis is presented for the unsteady laminar flow of an incompressible fluid between parallel disks with a time-varying gap width and a central fluid source of constant flow rate. New series solutions to the Navier-Stokes equations are obtained, on the basis of asymptotic series expansion in the radial direction and a new theory of “multifold series expansion” with respect to the time variable. The solutions cover the general case of arbitrarily time-varying gap width. Moreover, it can describe precisely the complicated non-linear interaction between the two coexisting flows due to the gap-width variation and to the central fluid source. Experiments were carried out for the case of sinusoidally oscillating gap-width variation, and it has been confirmed that the present solutions agree well with the experiments, even in severe cases that an approximate superposition theory neglecting the aforementioned interaction effect produces a remarkable error.

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