Steady two-dimensional magnetohydrodynamic flow. II.
Steady two dimensional MHD flow of inviscid compressible conducting fluid with entropy perturbation
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Steady two dimensional MHD flow of inviscid compressible conducting fluid with entropy perturbation
Flow through a two-dimensional duct with supersonic inflow is numerically investigated, from the viewpoint of the formation of Mach reflection, aerodynamic choking, and the possibility of constructing a curve similar to that for the quasi-one-dimensional flow in a converging-diverging duct. Such a curve can be used to determine whether a duct with a certain area ratio will or will not choke for a given inflow Mach number. Plots of pressure and mass flux contours are obtained for a given duct configuration. It is found that the two-dimensional flow always chokes at a higher Mach number than the corresponding quasi-one-dimensional flow for a given throat/inlet flow area ratio.
Gas dynamics of nonisentropic two-dimensional MHD FLOW of ideal inviscid perfectly conducting compressible fluid
A numerical model of two-dimensional confined flows is presented. The flow in the duct is partitioned into finite streams. The difference equations are then obtained by applying conservation principles directly to the individual streams. A listing of a computer code based on this approach in FORTRAN 4 language is presented. The code computes two dimensional compressible turbulent flows in ducts when the duct area along the flow is specified and the pressure gradient is unknown.
Two-dimensional unsteady flow in traveling wave plasma accelerator studied using small perturbation theory
Unsteady two dimensional flow in square cavity with fluid initially at rest and constant velocity upper surface of cavity, noting vortex center
A procedure is described for computation of incompressible, steady, two-dimensional flows in fully stalled diffusers with plenum exit. The procedure is successful in predicting pressure distributions and patterns to the accuracy of the data. The procedure employs a zonal model; this maintains close connections between the modeling and the physics thereby providing insight into critical aspects of modeling separated flows. The procedure presented is also convenient for computing unstalled flows in passages with turbulent boundary layers for either direct or indirect design problems. Computing times are well within engineering feasibility. The concepts developed can be extended to other classes of separated flows; some of these extensions have already been completed and are referenced.
Potential flow theory for two-dimensional cascades, and application to fluid flow through axial flow compressors
Numerical analysis of two-dimensional laminar flow with nonregular boundaries
Navier-Stokes equation solutions for two- dimensional turbulent flow fields of compressible viscous fluid
Two simulatneous, orthogonal-axis holographic movies are made of tracer particles in a low-speed water tunnel to determine the time-dependent, three-dimensional velocity field. This instrument is called a Holocinematographic Velocimeter (HCV). The holographic movies are reduced to the velocity field with an automatic data reduction system. This permits the reduction of large numbers of holograms (time steps) in a reasonable amount of time. The current version of the HCV, built for proof-of-concept tests, uses low-frame rate holographic cameras and a prototype of a new type of water tunnel. This water tunnel is a unique low-disturbance facility which has minimal wall effects on the flow. This paper presents the first flow field examined by the HCV, the two-dimensional von Karman vortex street downstream of an unswept circular cylinder. Key factors in the HCV are flow speed, spatial and temporal resolution required, measurement volume, film transport speed, and laser pulse length. The interactions between these factors are discussed.
Conformal mapping of two dimensional jet flow from two nozzles striking plane surfaces
The speed of a two-dimensional flow potential flow past a smooth wall, which evinces a finite curvature jump at a certain point and approximates to two arcs in the surrounding area, has a vertical tangent of inflection in the critical point as a function of the arc length of the boundary curve. This report looks at a general theorem of the local character of the conformal function at the critical point as well as the case of the finite curvature jump.
Correlation is established between aerodynamic characteristics of control surfaces in two-dimensional and three-dimensional flow. Slope of lift curve was affected little by overhang and balance-nose shape, but increased by sealing flap-nose gap. Effectiveness of balancing tab was same for sealed plain flap and unsealed overhang flap. Changes in hinge-moment coefficient were diminished by sealing gap. Values measured by three-dimensional flow disagreed with two-dimensional flow values until aspect ratio corrections were made.
Fortran computer program for calculating velocities and streamlines for two-dimensional incompressible flow in axial blade rows
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In the investigation of stability of a two-dimensional laminar flow with respect to small disturbances, a disturbance of the stream function moving downstream (in the direction of the x-axis) by the "partial wave formula" is described.
A two dimensional flow governed by the incompressible Navier-Stokes equations with a steady spatially periodic forcing (known as the Kolmogorov flow) is numerically simulated. The behavior of the flow and its transition states as the Reynolds number (Re) varies is investigated in detail, as well as a number of the flow features. A sequence of bifurcations is shown to take place in the flow as Re varied. Two main regimes of the flow were observed: small and large scale structure regimes corresponding to different ranges of Re. Each of the regimes includes a number of quasiperiodic, chaotic, and relaminarization windows. In addition, each range contains a chaotic window with non-ergodic chaotic attractors. Spatially disordered, but temporally steady states were discovered in large scale structure regime. Features of the diverse cases are displayed in terms of the temporal power spectrum, Poincare sections and, where possible, Lyapunov exponents and Kaplan-Yorke dimension.