Heat transfer in turbulent pipe flow

✍ Scribed by Raul R. Hunziker

• Publisher: Elsevier Science
• Year: 1958
• Tongue: English
• Weight: 945 KB
• Volume: 265
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(58)90552-0

✦ Synopsis

Heat transfer to and from fully developed turbulent flow in a circular pipe and between parallel plates is analyzed.

The use of Pal's velocity and correlation distributions allows a consistent determination of the eddy diffusivity for heat *u = a*u.

The average of this *x distribution across the conduit is about one half of the value used in former investigations.

By application of Laplace's transform the partial boundary-value problems for temperature distribution in circular pipe and parallel plates are reduced to ordinary Sturm-Liouville problems. The corresponding eigenvalues and eigenfunctions are approximated by Ritz's method for different values of the Prandtl and Reynolds numbers. The temperature distribution and Nusselt number distribution along the walls follow in series form in terms of these eigenvalues and eigenfunctions.

With the classic hypothesis a = 1 a new and better fitting to the experimental Nusselt number data for liquid metals is obtained. This analysis may be applied to any fluid in fully developed turbulent pipe flow.