Hot Flow Length and Testing Time in Real Shock Tube Flow

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Abstract
The influence of viscosity on the hot flow length l and the testing time τ in shock tubes is investigated for the laminar and turbulent cases. Considering the case where the influence of viscosity can be treated as a perturbation of the ideal flow, it is shown that Mirels' theory, which takes into account shock‐wave attenuation and wave reflections, can easily be used to evaluate l and τ. The limitations of the present theory are discussed and the results compared with the previous investigations. For the laminar case, the type of solution obtained is similar to that of Roshko. A ``maximum'' hot flow length, whose significance is mathematical rather than physical, because of the breakdown of the perturbation theory, is found. This ``maximum'' length is approximately twice as large as the one Roshko obtains when using his empirical value of √3 for the boundary layer parameter β. For the testing time in the turbulent case, the results differ somewhat from Anderson's.

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