Gas flow through an opening in a channel wall

Troshin, Victor

doi:10.1016/0021-8928(59)90135-2

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1969

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“…Troshin(i8), for example, considered a special case of the R6thy flows examined in Part II below, namely the flow of a gas jet out of a semi-infinite straight channel and past a finite flat plate (Figure 3). The appropriate substitutions with 6 = m at P x and ijr = ± \Q on the free boundaries give An example of a flow with three singularities on the boundary of the hodograph is that of a gas jet issuing from an opening in a channel wall (19), as illustrated in Figure 4. To obtain the solution the substitutions £ = 1, d x = m, f 0 = 0, / x = -Q, f 2 = q, h 0 = q, Ti x = 0, g(r) = 0 have to be made.…”

Section: Examples and Commentsmentioning

confidence: 99%

Compressible flows with circular sector hodographs

McLaughlin

Pack

1969

Math. Proc. Camb. Phil. Soc.

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The general solution of Chaplygin's equation for the motion of an inviscid compressible fluid is obtained for ‘simple wedge flows’. Some particular examples are given and a discrepancy in earlier Russian papers explained. After a discussion of the properties of the velocity potential and the expression for the physical coordinates in terms of the hodograph variables, a general theorem on sonic jets is proved, namely, that the physical changes due to the presence of solid boundaries in the flow are completed within a finite distance in those directions in which the flow becomes finally a sonic jet.

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Section: Examples and Commentsmentioning

confidence: 99%