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Thermal choking in two-dimensional expansion flows (1998)

Delale, C. F. ; van Dongen, M. E. H.

Springer

Zeitschrift für angewandte Mathematik und Physik 49 (1998), S. 515-537

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ISSN: 0044-2275

Keywords: Key words. Heat addition, two-dimensional expansion flows, critical heat, thermal choking.

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract. Two-dimensional supersonic flows with heat addition from given internal sources and/or nonequilibrium condensation are considered. The critical amount of heat necessary to thermally choke the flow is defined at any point in the flow field, and the necessary and sufficient conditions for thermal choking are identified from the singularities of the equations of motion along streamlines. In particular, for any practical purposes, it is shown that the flow Mach number reaches unity at any point where the heat added to the flow along the streamline passing through that point reaches the critical value. Thermally choked flows are then identified as those flows where the critical heat along streamlines is exceeded leading to embedded oblique shock waves with a local subsonic flow field downstream.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/s000000050106

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Incompressible low-speed-ratio flow in non-uniform distensible tubesThis research project is supported by the Dutch Foundation for Scientific Research NWO. (1993)

Reuderink, P. J. ; van de Vosse, F. N. ; van Steenhoven, A. A. ; [et al.]

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 16 (1993), S. 597-612

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ISSN: 0271-2091

Keywords: Navier-Stokes equations ; Finite element method ; Distensible tubes ; Wave propagation ; Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics

Notes: The fluid flow in distensible tubes is analysed by a finite element method based on an uncoupled solution of the equations of wall motion and fluid flow. Special attention is paid to the choice of proper boundary conditions. Computations were made for sinusoidal flow in a distensible uniform tube with the Womersley parameter α = 5, and a ratio between tube radius and wavelenth from 0·0001 to 0·5. The agreement between the numerical results and Womersley's analytic solution depends on the speed ratio between fluid and wave velocity, and is fair for speed ratios up to 0·05. The analysis of the flow field in a distensible tube with a local inhomogeneity revealed a marked influence of wave phenomena and wall motion on the velocity profiles.

Additional Material: 8 Ill.