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The Quarterly Journal of Mechanics and Applied Mathematics 1952 5(2):155-164; doi:10.1093/qjmam/5.2.155
© 1952 by Oxford University Press
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THE LAMINAR MOTION OF A PLANE SYMMETRICAL JET OF COMPRESSIBLE FLUID

D. G. TOOSE

( Military College of Science Shrivenham )

The laminar motion of a plane symmetrical jet of compressible fluid has been investigated previously by several authors, but no closed analytical solution has been obtained. This paper shows that such a solution is possible if the Prandtl number of the fluid is assumed to be unity, and the dynamic viscosity µ in the motion depends on the absolute temperature t according to the relation µ {infty} t. In terms of the stream function {psi} and the axial distance x, a very simple function is obtained for the velocity parallel to the axis; t then being obtained from Crocco's relation. Graphs of velocity and temperature distributions across jet sections are given for a wide range of jet Mach numbers and temperatures.


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