Laminar flow of a viscous incompressible liquid over the surface of solids of revolution

The laminar flow of a viscous incompressible liquid over the surface of stationary solids of revolution is examined for the case of circular inflow of the stream.Notation v₁, v velocity projections - density of the liquid - kinematic viscosity coefficient of liquid - R radius of curvature of surface of the body in the flow - thickness of boundary layer - u₀ rate of inflow of stream - r current radius - Q total flow rate - r₀ radius of contact line (circle) - ₀ thickness of layer at contact line - h thickness of layer - r_c radius of stream - r_min radius at which layer thickness is minimal - h_min minimum thickness of layer - 2 angle at apex of conical packing - current angle - , t, parameters of the ellipse - r_s conjugate line radius of plane circular torus Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 39, No. 1, pp. 57–63, July, 1980.     

Unsteady flow of a viscous incompressible liquid between two cylinders

A study has been made of the unsteady motion of a viscous incompressible liquid between two cylinders, the outer one being of arbitrary, slightly non-circular shape, while the inner one is circular and rotates about the origin. Results have been obtained which account for certain phenomena occurring in high-speed rotary hydraulic bearings.     

Effect of coriolis forces on nonstationary incompressible viscous liquid flow in a channel

We present a solution of the problem of nonstationary viscous incompressible liquid flow in a channel, taking account of the action of Coriolis forces. In this case the solution is shown to be determined by the sole dimensionless Taylor parameter, with an increase of which the velocity regime of nonstationary flow changes from a monotonic to a pulsating one.     

Identification of self-organized vortexlike structures in numerically simulated turbulent flow of a viscous incompressible liquid streaming around a well on a plane

A system of Reynolds equations closed by adding a low-Reynolds-number Menter’s dissipative model of turbulence are solved with the use of a factorized finite-volume method. The generation of vortexlike structures in the case of stalled turbulent flow streaming around a deep well on a plane is analyzed. The effect of vortex intensification due to asymmetry of the well is discussed.     

A large-scale three-dimensional finite element analysis of incompressible viscous fluid flow

An efficient finite element scheme for large-scale three-dimensional flow analysis is proposed. Focus of attention is placed on the time integration algorithm and some techniques for the reduction of the storage requirement, including the one-point quadrature technique and an iterative matrix solver. Application to large-scale three-dimensional problems is given to demonstrate the feasibility of the proposed scheme.     

Heat transfer in flow of an incompressible viscous liquid between disks

Using approximate equations of motion, an investigation has been made of the development of steady laminai radial flow of a viscous incompressible liquid in the gap between parallel disks. In the region of hydrodynamically stable flow the heat transfer problem is solved for a given constant heat flux at the wall.     

Effect of nonisothermicity on boundary-layer separation in a viscous incompressible liquid

The effect of nonisothermicity on the characteristics of an incompressible boundary layer is investigated. It is assumed that the viscosity is temperature dependent.     

Grid method for calculation of flow and heat exchange of a viscous incompressible liquid

An explicit difference method is described for calculation of the flow and heat exchange of an incompressible liquid, allowing calculations at quite large Reynolds numbers.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 50, No. 3, pp. 476–482, March, 1986.     

Calculation of the laminar flow of an incompressible liquid around a disc and a cylinder

We study the circular flow of a viscous incompressible liquid around a disc and a cylinder, in the range of Reynolds numbers 40 Re 1000.Transted from Inzhenerno-Fizicheskii Zhurnal, Vol. 42, No. 2, pp. 290–295, February, 1982.     

Hydrodynamics and heat exchange in viscous incompressible liquid flow between disks rotating in a cylindrical casing

The article provides the results of a numerical investigation of convective heat exchange in a closed system consisting of two coaxial disks rotating at the same angular velocity within an immobile cylindrical casing.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 48, No. 1, pp. 23–29, January, 1985.     

Peristaltic flow of a viscous incompressible fluid in a plane channel

This article shows the effect of additional pulsations of liquid flow rate on peristaltic flow in a channel and the formation of zones of eddy flow in it.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 48, No. 1, pp. 70–74, January, 1985.     

Identification of self-organizing structures by the numerical simulation of laminar three-dimensional flow around a crater on a plane by a flow of viscous incompressible fluid

Three-dimensional steady-state vortex structures which undergo self-organization during flow around a deep spherical crater on a plane are analyzed by using a factorized finite-volume method to solve the Navier-Stokes equations in a simplified approach based on an analytic definition of metric coefficients. Pis’ma Zh. Tekh. Fiz. 24, 6–12 (March 26, 1998)     

Numerical calculation of opposing jets of a viscous incompressible liquid

The collision of two equal coaxial jets is studied. A numerical solution of the exact equations of motion and of continuity is obtained on the assumption that the isothermal flow is stationary and the properties of the liquid are constant.

     

Finite element analysis of incompressible viscous flow in a helical pipe

This paper presents an accurate finite element procedure to deal with steady state, fully developed and incompressible viscous flow in helical pipes with arbitrary curvatures and torsions. The full Navier-Stokes equations and continuity equation have been explicitly derived using a non-orthogonal helical coordinate system. To obtain the final simultaneous non-linear algebraic equations, a pressure-velocity finite element formulation is formulated based on the Galerkin Method.The combined influence of finite curvature and finite torsion on the helical flow is studied. The secondary flow patterns and contours of axial velocity of helical flows show the significant distinction with those of toroidal flows. Further, the effect of torsion on flow rates can be neglected.Several numerical examples are presented. Excellent correlations between the computed results and available referenced solutions can be drawn.     

Calculation of nonsteady convective heat transfer for turbulent viscous incompressible flow in a tube of elliptical cross section

An approximate analytical expression is obtained for the temperature field. The variations of the dimensionless mass-average temperature of the fluid and the dimensionless integral-average heat flux at the tube wall are determined for various values of the Reynolds and Prandtl numbers.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 15, No. 5, pp. 912–915, November, 1978.     

Flow of viscous incompressible liquid in a plane channel with abrupt one-sided broadening

A numerical solution is obtained for the Navier-Stokes equations in the problem of laminar flow of a viscous incompressible liquid in a plane channel with abrupt one-sided broadening. The solution is compared with experiment.Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 35, No. 6, pp. 1078–1083, December, 1978.     

Stability of flow of a structurally viscous fluid in the boundary layer on a flat plate

The method of small perturbations has been used to study the hydrodynamical stability of flow of a structurally viscous fluid in the boundary layer on a flat plate.