# Two-dimensional lift-up problem for a rigid porous bed

## Abstract

The present study analytically reinvestigates the two-dimensional lift-up problem for a rigid porous bed that was studied by Mei, Yeung, and Liu [“Lifting of a large object from a porous seabed,” J. Fluid Mech. 152, 203 (1985)]. Mei, Yeung, and Liu proposed a model that treats the bed as a rigid porous medium and performed relevant experiments. In their model, they assumed the gap flow comes from the periphery of the gap, and there is a shear layer in the porous medium; the flow in the gap is described by adhesion approximation [D. J. Acheson, Elementary Fluid Dynamics (Clarendon, Oxford, 1990), pp. 243-245.] and the pore flow by Darcy’s law, and the slip-flow condition proposed by Beavers and Joseph [“Boundary conditions at a naturally permeable wall,” J. Fluid Mech. 30, 197 (1967)] is applied to the bed interface. In this problem, however, the gap flow initially mainly comes from the porous bed, and the shear layer may not exist. Although later the shear effect becomes important, the empirical slip-flow condition might not physically respond to the shear effect, and the existence of the vertical velocity affects the situation so greatly that the slip-flow condition might not be appropriate. In contrast,more »

- Authors:

- Department of Civil Engineering, National Taiwan University, Taipei, Taiwan (China)

- Publication Date:

- OSTI Identifier:
- 22403231

- Resource Type:
- Journal Article

- Journal Name:
- Physics of Fluids (1994)

- Additional Journal Information:
- Journal Volume: 27; Journal Issue: 5; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-6631

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ADHESION; BOUNDARY CONDITIONS; EQUATIONS; EXACT SOLUTIONS; FLUID MECHANICS; POROUS MATERIALS; SHEAR; SLIP FLOW; SOILS; TWO-DIMENSIONAL SYSTEMS

### Citation Formats

```
Chang, Y., Huang, L. H., and Yang, F. P. Y.
```*Two-dimensional lift-up problem for a rigid porous bed*. United States: N. p., 2015.
Web. doi:10.1063/1.4919434.

```
Chang, Y., Huang, L. H., & Yang, F. P. Y.
```*Two-dimensional lift-up problem for a rigid porous bed*. United States. doi:10.1063/1.4919434.

```
Chang, Y., Huang, L. H., and Yang, F. P. Y. Fri .
"Two-dimensional lift-up problem for a rigid porous bed". United States. doi:10.1063/1.4919434.
```

```
@article{osti_22403231,
```

title = {Two-dimensional lift-up problem for a rigid porous bed},

author = {Chang, Y. and Huang, L. H. and Yang, F. P. Y.},

abstractNote = {The present study analytically reinvestigates the two-dimensional lift-up problem for a rigid porous bed that was studied by Mei, Yeung, and Liu [“Lifting of a large object from a porous seabed,” J. Fluid Mech. 152, 203 (1985)]. Mei, Yeung, and Liu proposed a model that treats the bed as a rigid porous medium and performed relevant experiments. In their model, they assumed the gap flow comes from the periphery of the gap, and there is a shear layer in the porous medium; the flow in the gap is described by adhesion approximation [D. J. Acheson, Elementary Fluid Dynamics (Clarendon, Oxford, 1990), pp. 243-245.] and the pore flow by Darcy’s law, and the slip-flow condition proposed by Beavers and Joseph [“Boundary conditions at a naturally permeable wall,” J. Fluid Mech. 30, 197 (1967)] is applied to the bed interface. In this problem, however, the gap flow initially mainly comes from the porous bed, and the shear layer may not exist. Although later the shear effect becomes important, the empirical slip-flow condition might not physically respond to the shear effect, and the existence of the vertical velocity affects the situation so greatly that the slip-flow condition might not be appropriate. In contrast, the present study proposes a more general model for the problem, applying Stokes flow to the gap, the Brinkman equation to the porous medium, and Song and Huang’s [“Laminar poroelastic media flow,” J. Eng. Mech. 126, 358 (2000)] complete interfacial conditions to the bed interface. The exact solution to the problem is found and fits Mei’s experiments well. The breakout phenomenon is examined for different soil beds, mechanics that cannot be illustrated by Mei’s model are revealed, and the theoretical breakout times obtained using Mei’s model and our model are compared. The results show that the proposed model is more compatible with physics and provides results that are more precise.},

doi = {10.1063/1.4919434},

journal = {Physics of Fluids (1994)},

issn = {1070-6631},

number = 5,

volume = 27,

place = {United States},

year = {2015},

month = {5}

}