A note on the exact temperatures of free two-dimensional and circular jets

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Turkyilmazoglu M.

EUROPEAN PHYSICAL JOURNAL PLUS, vol.129, no.6, 2014 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 129 Issue: 6
• Publication Date: 2014
• Doi Number: 10.1140/epjp/i2014-14120-5
• Journal Name: EUROPEAN PHYSICAL JOURNAL PLUS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Hacettepe University Affiliated: Yes

Abstract

A two-dimensional laminar free jet and a circular axisymmetric free jet issuing into an otherwise quiescent fluid are revisited. Making use of the well-documented flow results in the literature, exact temperature profiles of both jets are shown to exist, some of which are presented for a variety of Prandtl numbers of interest. In particular, closed-form solutions are presented valid for the entire Prandtl numbers for the circular-free-jet problem. These can be easily made use of as test cases in practical applications. Circular free jet is shown to admit higher temperature values as compared with the two-dimensional free jet. It is also ensured that for these profiles a temperature integral condition due to the thermal flux is satisfied.