Magnetohydrodynamic Rotating Flow of a Second Grade Fluid with a Given Volume Flow Rate Variation

Meccanica ◽  
2004 ◽  
Vol 39 (5) ◽  
pp. 483-488 ◽  
Author(s):  
S. Asghar ◽  
K. Hanif ◽  
S. Nadeem ◽  
T. Hayat
Keyword(s):  
Flow Rate ◽  
Volume Flow Rate ◽  
Volume Flow ◽  
Second Grade ◽  
Rotating Flow ◽  
Rate Variation ◽  
Second Grade Fluid ◽  
Grade Fluid

scholarly journals Unsteady Unidirectional Flow of Second-Grade Fluid through a Microtube with Wall Slip and Different Given Volume Flow Rate

2010 ◽  
Vol 2010 ◽  
pp. 1-17 ◽  
Author(s):  
Cha'o-Kuang Chen ◽  
Hsin-Yi Lai ◽  
Wei-Fan Chen
Keyword(s):  
Flow Rate ◽  
Volume Flow Rate ◽  
Wall Slip ◽  
Volume Flow ◽  
Second Grade ◽  
Fully Developed Flow ◽  
Unidirectional Flow ◽  
Laplace Transform Technique ◽  
Grade Fluid ◽  
Flow Through

The second-grade flows through a microtube with wall slip are solved by Laplace transform technique. The effects of rarefaction and elastic coefficient are considered with an unsteady flow through a microtube for a given but arbitrary inlet volume flow rate with time. Five cases of inlet volume flow rate are as follows: (1) trapezoidal piston motion, (2) constant acceleration, (3) impulsively started flow, (4) impulsively blocked fully developed flow, and (5) oscillatory flow. The results obtained are compared to those solutions under no-slip and slip condition.

Unsteady Laminar Duct Flow With a Given Volume Flow Rate Variation

1999 ◽  
Vol 67 (2) ◽  
pp. 274-281 ◽  
Author(s):  
D. Das ◽  
J. H. Arakeri
Keyword(s):  
Cross Section ◽  
Flow Rate ◽  
Volume Flow Rate ◽  
Circular Cross Section ◽  
Volume Flow ◽  
Rate Variation ◽  
Two Dimensional ◽  
Duct Flow ◽  
Fully Developed Flow ◽  
Gradient Variation

In this paper we give a procedure to obtain analytical solutions for unsteady laminar flow in an infinitely long pipe with circular cross section, and in an infinitely long two-dimensional channel, created by an arbitrary but given volume flow rate with time. In the literature, solutions have been reported when the pressure gradient variation with time is prescribed but not when the volume flow rate variation is. We present some examples: (a) the flow rate has a trapezoidal variation with time, (b) impulsively started flow, (c) fully developed flow in a pipe is impulsively blocked, and (d) starting from rest the volume flow rate oscillates sinusoidally. [S0021-8936(00)01702-5]

scholarly journals New Exact Solutions for MHD Transient Rotating Flow of a Second-Grade Fluid in a Porous Medium

2011 ◽  
Vol 2011 ◽  
pp. 1-8 ◽  
Author(s):  
Faisal Salah ◽  
Zainal Abdul Aziz ◽  
Dennis Ling Chuan Ching
Keyword(s):  
Exact Solution ◽  
Porous Medium ◽  
Exact Solutions ◽  
Flat Plate ◽  
Laplace Transforms ◽  
Second Grade ◽  
Rotating Flow ◽  
Second Grade Fluid ◽  
New Exact Solutions ◽  
Grade Fluid

The magnetohydrodynamic (MHD) and rotating flow of second-grade fluid over a suddenly moved flat plate is investigated, where the second-grade fluid saturates the porous medium. The new exact solution is derived by using the Fourier sine and Laplace transforms. Many interesting available results in the literature are obtained as limiting cases of our solution. Finally, some graphical results are presented for different values of the material constants.

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