Laminar flow in the entrance region of a smooth pipe

Author:

Mohanty A. K.,Asthana S. B. L.

Abstract

The entrance region has been divided into two parts, the inlet region and the filled region. At the end of the inlet region, the boundary layers meet at the pipe axis but the velocity profiles are not yet similar. In the filled region, adjustment of the completely viscous profile takes place until the Poiseuille similar profile is attained at the end of it. The boundary-layer equations in the inlet region and the Navier-Stokes equations with order-of-magnitude analysis in the filled region are solved using fourth-degree velocity profiles. The total length of the entrance region so obtained is ξ = x/R Re = 0·150, whereas the boundary layers are observed to meet at approximately one-quarter of the entrance length, i.e. at ξ = 0·036. Experiments reported in the paper corroborate the analytical results.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference15 articles.

1. Wilson, S. D. R. 1971 J. Fluid Mech. 46,787.

2. Schlichting, H. 1968 Boundary Layer Theory. McGraw-Hill.

3. Shingo, I. 1966 Bull. Japan Soc. Mech. Engrs 9,86.

4. White, F. M. 1974 Viscous Fluid Flow. McGraw-Hill.

5. Mohanty, A. K. & Asthana, S. B. L. 1977 6th Austral. Hydraul. Fluid Mech. Conf., Adelaide , p.532.

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