Advances in Differential Equations and Control Processes
Volume 16, Issue 2, Pages 85 - 107
(November 2015) http://dx.doi.org/10.17654/DE016020085 |
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EXACT AND ASYMPTOTIC SOLUTIONS TO THE TRAJECTORY OF INJECTED GAS JET IN A STAGNANT LIQUID
Marco Rosales-Vera, Osvaldo Saavedra, Diego Jaques and Alberto Hinojosa
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Abstract: In this paper, the trajectory of a turbulent gas jet injected in a stagnant liquid is studied analytically. Exact solutions for jet of Themelis and also for the jet Engh and Bertheussen are found. These solutions are compared with exact numerical solutions which show a good agreement between them. In addition, the theoretical solutions are compared with experimental results available in the literature. |
Keywords and phrases: asymptotic analysis, copper converter, submerged gas injection. |
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