Kinematic analysis of disturbed flow past a plate in a channel with porous walls

Analytic expressions for the complex flow potential are obtained in the linear formulation in the neighborhood of a plate at a small angle of incidence and near porous channel walls. The general solution includes the limiting cases of a plate in a channel with impermeable walls and in a jet. Numerical results concerning the effect of porosity on the flow geometry in the neighborhood of the plate and the channel walls are presented. The disturbed-flow velocity distributions along the channel walls and the flow rate of the fluid sinking at infinity are obtained.Cheboksary. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 4, pp. 13–19, July–August, 1995.     

Negative wake in the uniform flow past a cylinder

The upstream/downstream streamline shift and the associated negative wake generation (streamwise velocity overshoot in the wake) in a viscoelastic flow past a cylinder are studied in this paper, for the Oldroyd-B, UCM, PTT, and FENE-CR fluids, using the Discrete Elastic Viscous Split Stress Vorticity (DEVSS-ω) scheme (Dou HS, Phan-Thien N (1999). The flow of an Oldroyd-B fluid past a cylinder in a channel: adaptive viscosity vorticity (DAVSS-ω) formulation. J Non-Newtonian Fluid Mech 87:47–73). The numerical algorithm is a parallelized unstructured Finite Volume Method (FVM), running under a distributed computing environment through the Parallel Virtual Machine (PVM) library. It is demonstrated that both the normal stress and its gradient are responsible for the negative wake generation and streamline shifting. Fluid extensional rheology plays an important role in the generation of the negative wake. The negative wake can occur in flows where the fluid extensional viscosity does not increase rapidly with strain rate. The formation of the negative wake does not depend on whether the streamlines undergo an upstream or a downstream shift. Shear-thinning viscosity weakens the velocity overshoot and while shear-thinning first normal stress coefficient enhances the velocity overshoot. Wall proximity is not necessary for the velocity overshoot; however, it enhances the strength of the negative wake. For the Oldroyd-B fluid, the ratio of the solvent viscosity to the zero-shear viscosity plays an important role in the streamline shift. In addition, mesh dependent behaviour of normal stresses along the centreline at high De in most cylinder/sphere simulations is due to the convection of normal stress from the cylinder to the wake, which results in the maximum of the normal stress being located off the centreline by a short distance at high De.     

Hypersonic flow past a plate of finite length

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 66–73, September–October, 1991.     

Starting flow in a rotating parallel plate channel

The starting flow due to a suddenly applied pressure gradient in a parallel plate channel which is rotating as a system is studied. Exact analytic series solutions to the unsteady Navier-Stokes equations are found by both the Laplace transform method and the separation of parameters method, the latter is shown to be superior. Rotation not only induces a secondary transverse flow but also alters the character of the transient flow rate and velocity profiles. Back flow and inertial oscillations occur, especially at higher rotation rates.     

Slow visco-elastic flow past a cylinder in a rectangular channel

This paper is concerned with the flow of a visco-elastic liquid through a rectangular channel containing a cylindrical obstruction placed either in a symmetric or asymmetric position with respect to the centre of the channel. Numerical predictions of the flow are obtained using a well established finite element Galerkin mixed formulation. The influence of elasticity on the streamline pattern is found to be negligible, and one only observes changes due to different geometries, i.e. relative positions of cylinder and channel. However, both elasticity and a variable viscosity are found to have significant effects on the forces exerted on the cylinder.     

Analytic homotopy solution of generalized three-dimensional channel flow due to uniform stretching of the plate

In this communication a generalized threedimensional steady flow of a viscous fluid between two infinite parallel plates is considered. The flow is generated due to uniform stretching of the lower plate in x- and y-directions. It is assumed that the upper plate is uniformly porous and is subjected to constant injection. The governing system is fully coupled and nonlinear in nature. A complete analytic solution which is uniformly valid for all values of the dimensionless parameters β, Re and λ is obtained by using a purely analytic technique, namely the homotopy analysis method. Also the effects of the parameters β, Re and λ on the velocity field are discussed through graphs.     

Heat transfer in a flow past a semi-in-finite plate with oscillating temperature

The response of laminar boundary layer flow past a semi-infinite flat plate to harmonic oscillations in the plate temperature in the form of a travelling wave convected in the direction of the free-stream has been studied here. Series solutions in terms of the small amplitude and the small oscillations to the non-linear system have been derived and the resulting nonlinear ordinary equations due to usual similarity transformations are solved numerically. The function affecting the temperature is shown on a graph. Due to greater viscous dissipative heat the function K ₁, increases and it decreases with increasing Prandtl number. Also the time averaged heat flux function K ₁(0) increases with Prandtl number and decreases due to greater viscous dissipative heat.     

Hydroelastic instabilities in viscoelastic flow past a cylinder confined in a channel

Experimental investigation of viscoelastic flow past a cylinder is conducted for a polyisobutylene-based polymer solution. High-image-density particle image velocimetry is utilized to quantitatively determine the spatial features of elastic wake instabilities. The viscoelastic flow bifurcates from steady two-dimensional flow to steady three-dimensional flow for values of the Deborah number (dimensionless flow rate) greater than a critical value. These hydroelastic flow transitions are manifested in the form of three-dimensional cells spaced periodically along the axis of the cylinder. The elastic flow structures do not exist in the Newtonian counterpart of creeping flow past a cylinder. Received: 7 October 1998 / Accepted: 22 April 1999     

Separation zone in fluctuating flow past an obstacle in a channel

The results of an experimental investigation of hydrodynamic processes in separated turbulent flows in the presence of superimposed flow-rate fluctuations are presented. A sharp shortening of the separation zone in the fluctuating flow is found to exist in the vicinity of Sh = 1. The dependence of the separation zone length on the superimposed fluctuation frequency is the same in the cases in which the obstacle is located in the regions of antinodes of both the flow velocity and the pressure.