On Steady Laminar Two-dimensional Jets in Compressible Viscous Gases Far behind the Slit*

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A NOTE ON MY PAPER ON STEADY LAMINAR TWO-DIMENSIONAL JETS IN COMPRESSIBLE VISCOUS GASES FAR BEHIND THE SLIT* Quarterly of Applied Mathematics, 7, 313-323 (1949) By M. Z. KRZYWOBLOCKI (University of Illinois) Determination of the constant of integration for the temperature distribution (p. 317, eq. 25) from the condition that that total flux of enthalpy across jet is alike at all cross-sections restricts solution to small Mach numbers (if the comparison cross-section is close to the slit, as pointed out by A. H. Shapiro, Appl. Mech. Rev. Ill (1950) p. 415, No. 2718) or to high Mach numbers (if the comparison section is far from the slit). To take into account all the relative cases, that constant may be determined from the condition that the total flux (enthalpy plus kinetic energy) is alike at all cross-sections:

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تاریخ انتشار 2016