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

Published online by Cambridge University Press:  29 January 2013

Y.W. Lin ,
C.-I. Chen  and
C.-K. Chen
Y.W. Lin
Affiliation:
Department of Mechanical Engineering, National Cheng Kung University Tainan, Taiwan 70101, R.O.C.
C.-I. Chen
Affiliation:
Department of Industrial Management, I-Shou University, Kaohsiung, Taiwan 84001, R.O.C.
C.-K. Chen*
Affiliation:
Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
*
*Corresponding author (, [email protected])
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Abstract

In 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.

Keywords

Laplace transformBingham fluidMicrogap platesVelocity profilePressure gradient
Type
Articles
Information
Journal of Mechanics , Volume 29 , Issue 2 , June 2013 , pp. 355 - 362
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2013

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