Engineering Transactions, 32, 3, pp. 381-398, 1984

Plane Viscous Flow Through the system of Moving Rods

A. Zachara
Institute of Fundamental Technological Research, Warszawa

The subject of this paper is a steady flow of an incompressible fluid about the system of two parallel rows of cylindrical rods, moving along their axes. The row of cylinders has been considered as a continuous surface, which allowed for the nonzero normal as well as the tangent velocity component. Both surfaces have been treated as moving walls of a parallel channel. The inner and outer flows have been calculated with the aid of perturbation methods applied to suitable exact solutions of the Navier-Stokes equations. Both solutions have been matched with the use of proper con­ditions at the wall to obtain a continuous flow description in the whole region. Pressure, velocity and streamlines distributions have been calculated. The error of the adopted approximation has been estimated and discussed.

Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


K. TAMADA, H, FUJIKAWA, The steady two-dimensional flow of viscous fluid at low Reynolds numbers passing through an infinite row of equal parallel circular cylinders, Quart. J. Mech. Appl. Math., 10, 4, 1957.

T. MIYAGI, Viscous flow at low Reynolds numbers past an infinite row of equal circular cylinders, J. Phys. Soc. Japan, 13, 5, 1958.

A. SZANIAWSKI, Heat exchange and slow steady flow over a row of thin cylinders [in Polish], IFTR Reports, 1, 1980.

W. KALITA, J. LUBOŃSKI, Steady piane flow in a region between a porous wali and a system of moving rods, Arch. Mech., 32, 5, 1980.

A. SZANIAWSKI, A. ZACHARA, Laminar flow in a channel of variable cross-section with moving and porous walls, [in Polish], Mech. Teor. i Stos., 16, 3, 1978.

A. ZACHARA, Viscous flow through a half-infinite channel with moving and porous walls, Arch. Mech., 33, 5, 1981.

H. SCHLICHTJNG, Boundary layer theory, Pergamon Press, London 1955.

N. A. SLEZKIN, Viscous incompressible fluid dynamics [in Russian], Moscow 1955.

A. SZANIAWSKI, W. KALITA, J. LUBOŃSKI, A. ZACHARA, Hydrodynamical problems of chemical fibre formation [in Polish) Techn. Univ. Łódź, Scient. Reports n. 397, Ser. Mechanics, issue 63, 1982.

A. SZANIAWSKI, Filling-up of a vertical symmetrical bundle of rods with a viscous fluid [in Polish], IFTR Reports, 29, 1973.