Velocity overshoot of start-up flow for a Maxwellfluid in a porous half-space |
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Authors: | Tan Wen-Chang |
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Institution: | State Key Laboratory of Turbulence and Complex Systems, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China |
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Abstract: | Stokes' first problem has been investigated for a Maxwell fluid in a porous
half-space for gaining insight into the effect of viscoelasticity on the start-up
flow in a porous medium. An exact solution was obtained by using the Fourier sine
transform. It was found that at large values of the relaxation time the velocity
overshoot occurs obviously and the system exhibits viscoelastic behaviours. On the
other hand, for short relaxation time the velocity overshoot disappears and the
system exhibits viscous behaviours. A critical value of the relaxation time was
obtained for the emergence of the velocity overshoot. Furthermore, it was found that
the velocity overshoot is caused by both the viscoelasticity of the Maxwell fluid
and the Darcy resistance resulting from the structure of the micropore in the porous
medium. |
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Keywords: | Maxwell fluid porous media velocity overshoot |
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