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  • 1
    ISSN: 1573-8507
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract The use of the time-establishment process in solving problems relating to the steady flow of an ideal (nonviscous and heat-insulating) gas around a cascade of profiles is considered. Chief attention is paid to the role of the Chaplygin-Zhukovskii condition, which is needed [1, 2] when solving these as steady-state problems. Results obtained during the time-establishment process with and without the application of the condition in question are presented. In both cases certain time-independent distributions of the parameters satisfying the equations and conditions of the steady-state problem (or more precisely their finite-difference analog) are produced during the establishment process. Comparison of the resultant distributions shows that the difference between the two cases lies within the limits of computing error, the results of the calculations agreeing quite well with experimental data.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1573-8507
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract The supersonic flow of an inviscid gas that does not conduct heat over a cascade of planar pointed profiles is considered in the case when the component of the velocity vector of the undisturbed flow normal to the cascade front is subsonic. The investigation is restricted to regimes without separation and shock waves attached to the leading edges of the profiles and fairly dense cascades, for which the characteristics or shock waves leaving the trailing edges do not enter the region in front of the cascade. In such cases, the conditions behind the cascade do not influence the flow in front of it. In this sense, the flow in the cascade, as in a Laval nozzle in the case of supercritical gradients is “trapped”, In the hodograph plane, trapped regimes of flow over the cascade correspond to velocity vectors of the undisturbed flow that lie on a certain line (see, for example, [1–3]), which is constructed in the process of solution of the problem. This property has been called the “directing influence” of the cascade on the oncoming flow. Regimes with detached shocks can also be trapped if the separation of the shocks is due to the profiles being blunt. A method is proposed that for regimes with attached shocks makes it possible to calculate the entire flow field, including the wave structure at large distances from the cascade front; some results obtained by the method are also given. The study of regimes with attached shocks, for which the analysis is simplest, is, first, of interest in its own right and, second, is a stage in the creation of methods of calculation and subsequent investigation of cascades with arbitrary regimes.
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 1573-8507
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract Two numerical methods are basically used to calculate two-dimensional separationless steady flow of an inviscid compressible fluid through a turbine cascade. For the subsonic flow over the profile, the method of integral equations [1] is used. It has a high accuracy in the region of the entry edge because of the concentration on it of the computational points, and for an incompressible fluid it requires comparatively little computer time compared with other methods. For all velocities, the stabilization method [2] is used successfully. Application of a finite-difference through-computation scheme makes it possible to carry out calculations without explicit separation of singularities (discontinuities) in the flow. Shock waves are obtained in this case as narrow regions (a few cells of the difference mesh) with large gradients of the parameters. In the existing variant of the method [3], the computational mesh is constructed manually, which entails much time and requires considerable experience of such work. It appears expedient to combine these methods and use the method of integral equations to specify the initial flow field and an automated construction of the difference mesh on which the calculation is then continued by the stabilization method. In the greater part of the flow, the difference mesh is constructed from the equipotentials and streamlines of the flow of an incompressible fluid. This ensures a cell shape which is nearly orthogonal, and this shortens the computing time and raises the accuracy of the results in the stabilization method.
    Type of Medium: Electronic Resource
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  • 4
    ISSN: 1573-8507
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Fluid dynamics 11 (1976), S. 293-299 
    ISSN: 1573-8507
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Type of Medium: Electronic Resource
    Location Call Number Limitation Availability
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