Takefumi Ikui

Kinetic‐Theoretical Studies of the Shock Wave Structure

The one‐dimensional, steady, neutral shock wave structure was theoretically investigated by expanding the distribution function of the Boltzmann equation in terms of the Hermite polynomials, where the downstream equilibrium distribution function is taken to be the weighting function. The resulting nonlinear coupled differential equations were numerically integrated and various thermodynamic variables were calculated; reasonable results were obtained for low (where Navier‐Stokes approximations are thought to be correct) and high (where Mott‐Smith treatment was seen to be appropriate) Mach numbers. The thermodynamic background of the present treatment is thoroughly discussed and criticism of various other theoretical methods is made.

Compatibility of Transonic Flows at Thick Trailing Edge in Turbine Blade Row

In transonic turbine blades with thick trailing edge, the base pressure strongly influences the cascade performances. This paper presents two methods for predicting the base pressure, which are extension of the analyses on the backward facing step by Korst (neglecting upstream boundary layer) and McDonald (taking account of upstream boundary layer). The compatibility is considered between separated flows (jets) from suction and pressure surfaces in each method. The validity of both methods are discussed in comparison with the experiment of a two-dimensional turbine cascade with high stagger.

Shock wave structures in weakly ionized gases using the Krook kinetic model

The structures of the normal shock waves in weakly ionized nonequilibrium flows have been analyzed by the Krook kinetic models using the Maxwellian or the ellipsoidal distribution functions, and the calculated results were compared with those obtained from the bimodal approximations.

Researches on the Two-Dimensional Retarded Cascade : Part 2, Method of the Cascade Testing

It is often said that experimental performances of a two-dimensional retarded cascade are not reproducible. In this paper, the technique of cascade testing to obtain the relaible data is presented. Using this method, it is possible to control the inlet and exit flow conditions, so that all the blades of a cascade are operating under the same flow conditions and the axial velocity ratios are equal to unity. Then, the allowable value of axial velocity ratios, which is necessary to ensure the two-dimensional flows, are evaluated. As the inlet angle increases, it becomes more difficult to get the two-dimensionality of flow, and the critical value of axial velocity into approaches unity. Some correcting methods for the cascade performances are discussed when the axial velocity ratio is not kept under the critical value. As the result, some cascade performances at extremely high inlet angle are obtained and their reliability is confirmed by a rotating by cascade test.

SHOCK-WAVE STRUCTURE IN THE WEAKLY IONIZED PLASMA.

The problem of the shock‐wave structure in weakly ionized plasma is treated from the viewpoint of Mott‐Smith approach, the result being compared with the previously obtained experimental data and with the solution using Navier‐Stokes equation.