Unsteady unidirectional flow of second grade fluid between the parallel plates with different given volume flow rate conditions

2003 ◽  
Vol 137 (2-3) ◽  
pp. 437-450 ◽  
Author(s):  
Chun-I Chen ◽  
Cha’o-Kuang Chen ◽  
Yue-Tzu Yang
Keyword(s):  
Flow Rate ◽  
Volume Flow Rate ◽  
Volume Flow ◽  
Second Grade ◽  
Parallel Plates ◽  
Second Grade Fluid ◽  
Unidirectional Flow ◽  
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.

The effect of slip on electro-osmotic flow of a second-grade fluid between two plates with Caputo–Fabrizio time fractional derivatives

2019 ◽  
Vol 97 (5) ◽  
pp. 509-516 ◽  
Author(s):  
Aziz Ullah Awan ◽  
Muhammad Danial Hisham ◽  
Nauman Raza
Keyword(s):  
Slip Flow ◽  
Second Grade ◽  
Parallel Plates ◽  
Second Grade Fluid ◽  
Thin Channel ◽  
Electro Osmosis ◽  
The Laplace Transform ◽  
Grade Fluid ◽  
Electro Osmotic Flow ◽  
Fractional Parameter

This work aims to probe the slip flow of second-grade fluid. The impetus of the flow is taken to be the electro-osmosis and the pressure gradient. The flow is considered to be in a thin channel-like passage formed by two parallel plates. The potential difference existing between the surface of the solid and fluid is taken to be non-symmetric. The governing equations are formed for the second-grade fluid with the Caputo–Fabrizio fractional derivative. The Laplace transform is used for transforming the problem into space parameters after introducing the dimensionless variables. Instead of developing an analytical expression for inverse Laplacian, the numerical Stehfest algorithm is used. A tabular comparison of the obtained results by two different methods (Stehfest and Tzou) is given and the conformity of the two ensures the validity of our obtained results. The results are also pictured in terms of graphs and carry the information of the slip flow effect. Furthermore, the effect of the fractional parameter on velocity has also been tabulated using different values of fractional parameter.

Unsteady Unidirectional Flow of Bingham Fluid Through the Parallel Microgap Plates with Wall Slip and Given Inlet Volume Flow Rate Variations

2013 ◽  
Vol 29 (2) ◽  
pp. 355-362
Author(s):  
Y.W. Lin ◽  
C.-I. Chen ◽  
C.-K. Chen
Keyword(s):  
Flow Rate ◽  
Volume Flow Rate ◽  
Flow Behavior ◽  
Linear Acceleration ◽  
Wall Slip ◽  
Transformation Method ◽  
Bingham Fluid ◽  
Volume Flow ◽  
Unidirectional Flow ◽  
Flow Motion

AbstractIn this paper, Laplace transformation method is used to solve the velocity profile and pressure gradient of the unsteady unidirectional flow of Bingham fluid. Between the parallel microgap plates, the flow motion is induced by a prescribed arbitrary inlet volume flow rate which varies with time. Due to the rarefaction, the wall slip condition is existed; therefore, the complexity of solution is also increased. In order to understand the flow behavior of Bingham fluid, there are two basic flow situations are solved. One is a suddenly started flow and the other is constant acceleration flow. Furthermore, linear acceleration and oscillatory flow are also considered. The result indicates when the yield stress τ0 is zero; the solution of the problem reduces to Newtonian fluid.

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