# Computer aided analysis of viscous film flow along an inclined wavy wall

## Abstract

The flow of a viscous liquid film along a wavy inclined wall is a fundamental fluid mechanics problem. Applications of this flow range from the most common case of heat and mass transfer in heat exchangers and ordered packings up to more advanced technological processes such as electrochemical plating, chemical etching, and chemical conversion in liquid-gas catalytic reactions. Here, the steady, laminar flow of a Newtonian liquid along an inclined wavy wall is studied in a two-dimensional numerical experiment using the Galerkin finite element method. The dimensionless Navier-Stokes equations are solved in the whole range of the laminar flow regime. Numerical predictions are compared with available experimental data for very low Reynolds numbers. The emphasis in the discussion of results is given in the presentation of free surface and the wall. The interaction of the dimensionless numbers of the flow is studied, criteria for flow reversal are established, and a resonance phenomenon at high Reynolds numbers is investigated.

- Authors:

- Publication Date:

- Research Org.:
- Univ. of Thessaly, Volos (GR)

- OSTI Identifier:
- 20000634

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Computational Physics

- Additional Journal Information:
- Journal Volume: 154; Journal Issue: 2; Other Information: PBD: 20 Sep 1999; Journal ID: ISSN 0021-9991

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 42 ENGINEERING; 99 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; STEADY FLOW; LAMINAR FLOW; FILM FLOW; TWO-DIMENSIONAL CALCULATIONS; FINITE ELEMENT METHOD; NAVIER-STOKES EQUATIONS

### Citation Formats

```
Malamataris, N.A., and Bontozoglou, V.
```*Computer aided analysis of viscous film flow along an inclined wavy wall*. United States: N. p., 1999.
Web. doi:10.1006/jcph.1999.6319.

```
Malamataris, N.A., & Bontozoglou, V.
```*Computer aided analysis of viscous film flow along an inclined wavy wall*. United States. doi:10.1006/jcph.1999.6319.

```
Malamataris, N.A., and Bontozoglou, V. Mon .
"Computer aided analysis of viscous film flow along an inclined wavy wall". United States. doi:10.1006/jcph.1999.6319.
```

```
@article{osti_20000634,
```

title = {Computer aided analysis of viscous film flow along an inclined wavy wall},

author = {Malamataris, N.A. and Bontozoglou, V.},

abstractNote = {The flow of a viscous liquid film along a wavy inclined wall is a fundamental fluid mechanics problem. Applications of this flow range from the most common case of heat and mass transfer in heat exchangers and ordered packings up to more advanced technological processes such as electrochemical plating, chemical etching, and chemical conversion in liquid-gas catalytic reactions. Here, the steady, laminar flow of a Newtonian liquid along an inclined wavy wall is studied in a two-dimensional numerical experiment using the Galerkin finite element method. The dimensionless Navier-Stokes equations are solved in the whole range of the laminar flow regime. Numerical predictions are compared with available experimental data for very low Reynolds numbers. The emphasis in the discussion of results is given in the presentation of free surface and the wall. The interaction of the dimensionless numbers of the flow is studied, criteria for flow reversal are established, and a resonance phenomenon at high Reynolds numbers is investigated.},

doi = {10.1006/jcph.1999.6319},

journal = {Journal of Computational Physics},

issn = {0021-9991},

number = 2,

volume = 154,

place = {United States},

year = {1999},

month = {9}

}