Turbulent Flow and Boundary Layer Theory: Selected Topics and Solved Problems

Author(s): Jafar Mehdi Hassan, Riyadh S. Al-Turaihi, Salman Hussien Omran, Laith Jaafer Habeeb and Alamaslamani Ammar Fadhil Shnawa

DOI: 10.2174/9781681088112121010004

Turbulent Transport of Momentum

Pp: 23-51 (29)

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Abstract

SHS investigation development is considered from the geographical and historical viewpoint. 3 stages are described. Within Stage 1 the work was carried out in the Department of the Institute of Chemical Physics in Chernogolovka where the scientific discovery had been made. At Stage 2 the interest to SHS arose in different cities and towns of the former USSR. Within Stage 3 SHS entered the international scene. Now SHS processes and products are being studied in more than 50 countries.

Abstract

The Navier – stokes equations describe the transport of momentum in a viscous fluid. For a laminar flow, these N.S.E. can be solved directly, often to a high degree of accuracy.

For turbulent flow, things are more complex. The equations describe the instantaneous velocity components u, v, and w at every point in the flow. However, the nature of turbulence is such that there are very strong variation in these quantities over small distance. The time over which fluctuations in velocity occurs are likewise very small.

In this chapter a brief explanation and derivation of the N.S.E. for turbulent flow which they called "Reynolds stress".

Prandtl mixing length theory also presented to solve the "Reynolds stress" related to a length scale and velocity gradient. In addition, the velocity profiles for turbulent flow described throughout an experimental variation of inner – outer and overlap layer laws.

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