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Analysis of unsteady wave processes in a rotating channel
Author(s) -
Larosiliere L. M.,
Mawid M.
Publication year - 1995
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650210603
Subject(s) - mach number , mechanics , mach wave , shock tube , radius , shock wave , rotation (mathematics) , physics , overall pressure ratio , geometry , shock (circulatory) , oblique shock , mathematics , gas compressor , medicine , computer security , computer science , thermodynamics
Abstract The impact of passage rotation on the gasdynamic wave processes is analyzed through a numerical simulation of ideal shock‐tube flow in a closed rotating‐channel containing a gas in an initial state of homentropic solid‐body rotation. Relevant parameters of the problem such as wheel Mach number, hub‐to‐tip radius ratio, length‐to‐tip radius ratio, diaphragm temperature ratio, and diaphragm pressure ratio are varied. It is shown that for a fixed geometry and initial conditions, the contact interface acquires a distorted three‐dimensional time‐dependent orientation at non‐zero wheel Mach numbers. At a fixed wheel Mach number, the level of distortion depends primarily on the density ratio across the interface and also the hub‐to‐tip radius ratio. The nature of the rarefaction and shock wave propagation is one‐dimensional, although the acoustic waves are diffracted due to the radially varying propagation speed. Under conditions of initially homentropic solid‐body rotation, a degree of similarity exists between rotating and stationary shock‐tube flows. This similarity is exploited to arrive at an approximate analytical solution to the Riemann problem in a rotating shock‐tube.