Effect of Interface Momentum Distribution on the Stability in a Porous-Fluid System

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HU P.; LI Q.

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Paper Information

Journal: JOURNAL OF APPLIED FLUID MECHANICS (JAFM) Year:2020 | Volume:13 | Issue:3 Page(s): 1037-1046

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Title

Effect of Interface Momentum Distribution on the Stability in a Porous-Fluid System

Author(s)

HU P. | LI Q. | Issue Writer Certificate

Keywords

Porous layer

Linear stability

Interface momentum distribution

Poiseuille flow

Abstract

We numerically investigate the linear instability problem of Poiseuille flow in a channel partially filled with a porous medium on the bottom side. We are primarily interested in the influence of the Interface momentum distribution including stress continuity and jump interface conditions. A spectral collocation method is applied in solving the fully coupled instability problem arising from the adjacent porous and free channel flows. The results show that the “ interface stress coefficient” in a negative range has a larger effect on the trajectory of the eigenvalues than that in the positive range, especially the most unstable mode. Moreover, with a low permeability in the porous region, the Interface momentum distribution has less effect on the stability of core flow. And when the “ interface stress coefficient” is equal to its minimum negative value, the flow passing through the channel is at its most stable state. If the “ interface stress coefficient” varies in a positive range, the degree of fluid stability is predicted to slightly diminish due to stress continuity condition at the interface.

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APA: Copy

HU, P., & LI, Q.. (2020). Effect of Interface Momentum Distribution on the Stability in a Porous-Fluid System. JOURNAL OF APPLIED FLUID MECHANICS (JAFM), 13(3), 1037-1046. SID. https://sid.ir/paper/308419/en

Vancouver: Copy

HU P., LI Q.. Effect of Interface Momentum Distribution on the Stability in a Porous-Fluid System. JOURNAL OF APPLIED FLUID MECHANICS (JAFM)[Internet]. 2020;13(3):1037-1046. Available from: https://sid.ir/paper/308419/en

IEEE: Copy

P. HU, and Q. LI, “Effect of Interface Momentum Distribution on the Stability in a Porous-Fluid System,” JOURNAL OF APPLIED FLUID MECHANICS (JAFM), vol. 13, no. 3, pp. 1037–1046, 2020, [Online]. Available: https://sid.ir/paper/308419/en

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