Heat and Mass Transfer

, Volume 43, Issue 7, pp 623–628

# An analytical and experimental investigation of flow characteristics generated by rotating porous disk

• K. Takeda
• V. K. Baev
• S. S. Minaev
Original

## Abstract

This paper is concerned with investigations of the gas flow around and in the cell-porous rotating disk. A simple 1D model of gas flow is presented. Usually the cell-porous materials are applied in heat exchangers and stationary filters. On the other hand, peculiarities of the flow revealed under theoretical analysis and some experimental observations demonstrate that rotating porous disks may also be effectively exploited in the shear-force machines for the gas transport purposes.

## Keywords

Cell-porous materials Filtrational hydrodynamics Gas flow in rotating system Shear-force pumps Heat exchangers

## Nomenclature

d

Porous disk width

k

Drag force coefficient

p

Pressure

$$P = \frac{{p - p_{\infty}}}{{\rho \omega ^{2} R^{2}_{0}}}$$

Non-dimensional pressure

q

Gas flow rate through the disk

$$Q = \frac{q}{{\omega R^{2}_{0}}}$$

Non-dimensional gas flow rate through the disk

$$\vec{r}$$

$${\left| {\vec{r}} \right|} = r$$

R0

u

Tangential component of the gas velocity

$$U = \frac{u}{{\omega R_{0}}}$$

Non-dimensional tangential component of the gas velocity

$$\vec{V} = (v, u, w)$$

Vector of the gas velocity

v

Radial component of the gas velocity

$$V = \frac{v}{{\omega R_{0}}}$$

Non-dimensional radial component of the gas velocity

w

Axial component of the gas velocity;

$$W = \frac{w}{{\omega R_{0}}}$$

Non-dimensional axial component of the gas velocity

z

Axial coordinate

## Greek symbols

δ=d/R0

Small non-dimensional parameter (ratio between disk width and disk radius)

κ=kR0

Non-dimensional drag force coefficient

ρ

Gas density

$$\varsigma = \frac{r}{{R_{0}}}$$

ω

Angular velocity of the gas rotation

## Notes

### Acknowledgements

The authors are grateful to Mr. D. V. Chusov and Mr. A. D. Frolov for technical advice and Mr. A. Ya. Korotkih for his help in experiments. This work was partially supported by the Siberian Branch of Russian Academy of Sciences under the integration project entitled “Flows generated by cell-porous rotors and their application in energy conversion devices”.

## References

1. 1.
Baev VK, Fomin VM (2004) Main ideas of interdisciplinary projects of new types of energy-transducing facilities. In: Proceedings of international conference on the methods of aerophysical research (ICMAR), Novosibirsk, Russia, Part I, p 26Google Scholar
2. 2.
Baev VK, Minaev SS (2004) Characteristic of the flow around and inside the rotating porous disk. In: Book of proceedings of the 4th international symposium on advanced fluid information and the 1st international symposium on transdisciplinary fluid integration (AFI-TFI 2004), Sendai, pp 238–241Google Scholar
3. 3.
Baev VK, Belomestnov PM, Vjazovitch EI, Yakobin YuA (1982) The flow gas laser. Inventor’s certificate no. 1005628Google Scholar
4. 4.
Baev VK, Fomin VM, Minaev SS (2003) New problems of the combustion theory relevant to the development of local energy-supply systems. In: Roy GD, Frolov SM, Starik AM (eds) Combustion and atmospheric pollution. TORUS PRESS, Moscow, pp 199–200Google Scholar
5. 5.
Hasinger SH, Kehrt LG (1963) Investigation of a shear-force pump. Trans ASME Ser A J Eng Power 3:47Google Scholar
6. 6.
Perelman RG, Polikovskii VI (1963) Foundations of the theory of disk pumps (in Russian). J Energetika i Transport 1:101Google Scholar
7. 7.
Rice W (1963) An analytical and experimental investigation of multiple disk pumps and compressors. Trans ASME Ser A J Eng Power 85(3):35Google Scholar
8. 8.
Wakao N, Kaguie S (1982) Heat and mass transfer in packed beds. Gordon and Breach, New YorkGoogle Scholar