Published in Fluid Dynamics
A class of steady similarity solutions of the equations for viscous vortex cores which correspond to external inviscid similarity solutions with a power-law variation of the circumferential velocityv-r−m near the rotation axis is considered. It is found that if the Bernoulli function in external flow is constant, then these solutions will exist onl...
Published in Fluid Dynamics
The nonlinear convective instability of a plane horizontal conducting fluid layer placed in a uniform vertical magnetic field is studied [1]. A similar problem was previously considered in [2] but with allowance only for so-called weakly nonlinear third-order effects. In the present paper attention is concentrated on the study of the finite-amplitu...
Published in Fluid Dynamics
The convective instability of mechanical equilibrium of an inclined plane layer of fluid developing under the action of a static gravity field and high-frequency vibration is studied. Configurations corresponding to four directions of the equilibrium temperature gradient — vertical, longitudinal, horizontal, and transverse — are considered for an a...
Published in Fluid Dynamics
A numerical analysis technique and its results for viscous incompressible flows in the annulus between two concentric coaxial spheres generated by the rotation of the boundary spheres in the same or opposite directions are presented. It is shown that in the course of its development, the main flow passes through three characteristic stages which di...
Published in Fluid Dynamics
Mathematical modeling is combined with technological experiments to study the flow and heat transfer processes of gallium arsenide (GaAs) single-crystal growth by the Czochralski method. When the heat wave produced by periodic variation of the heatertemperature acts upon the molten material regions adjacent to the crystallization front. It is shown...
Published in Fluid Dynamics
The results of calculating a supersonic turbulent boundary layer on a heated surface on the basis of the algebraic two-parameter (k-ε) and four-parameter (k-ε-θ2-ε6) models of turbulence are compared with experimental data. Emphasis is placed on the ability of the models to predict the behavior of the friction and heat-transfer coefficients on a he...
Published in Fluid Dynamics
The electric structure of a plane laminar flame propagating through a homogeneous methane-air mixture in the absence of an external electric field is considered. The charged particle concentration and self-electric field distributions in the flame are found. The possibility of the ion-molecular reactions affecting the normal flame propagation veloc...
Published in Fluid Dynamics
The results of an experimental investigation of the hydrodynamic forces acting on elliptic cylinders oscillating in water at rest are presented. The coefficients of the inertia force and the drag are determined as functions of the ratio of the amplitude of the oscillations to the length of the axis of the cylindrical section in a plane normal to th...
Published in Fluid Dynamics
In studying capillary phenomena it is often necessary to model the macroscopic properties of the motion of an interface. The Washburn equation [1] can be used as an intermediate asymptotic expression in such cases. In the present paper the properties of this equation are studied in terms of characteristic dimensionless variables. The introduction o...
Published in Fluid Dynamics
Supersonic flow past a cylindrical body with a system of transverse jets ejected from its surface at angles of attack α=60–120o is characterized by a complicated gasdynamic flow pattern [1]. The body surface is affected by both the oncoming flow and the ejected jets which shield a portion of the surface from the external flow. This results in consi...
