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

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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.

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Authors and Affiliations

  1. Department of Mathematics, Hacettepe University, Beytepe, 06532, Ankara, Turkey

    Mustafa Turkyilmazoglu

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  1. Mustafa Turkyilmazoglu
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Correspondence to Mustafa Turkyilmazoglu.

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Turkyilmazoglu, M. A note on the exact temperatures of free two-dimensional and circular jets. Eur. Phys. J. Plus 129, 120 (2014). https://doi.org/10.1140/epjp/i2014-14120-5

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  • DOI: https://doi.org/10.1140/epjp/i2014-14120-5

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