Shear-Driven Flow in a Porous Cavity

1989 ◽  
Vol 111 (4) ◽  
pp. 433-438 ◽  
Author(s):  
M. H. Hamdan ◽  
R. M. Barron
Keyword(s):  
Finite Difference ◽  
Porous Material ◽  
Cavity Flow ◽  
Rectangular Cavity ◽  
Driven Cavity ◽  
Porous Cavity ◽  
Aspect Ratios ◽  
Finite Difference Solution ◽  
Driven Cavity Flow ◽  
Difference Solution

The shear-driven cavity flow is studied when the cavity is assumed to contain a porous material. A finite difference solution is obtained for the flow in a rectangular cavity for various cavity aspect ratios and permeability values. The effect of these parameters on the flow, and in particular on the development of corner eddies is illustrated.

Stability of obliquely driven cavity flow

2021 ◽  
Vol 928 ◽  
Author(s):  
Pierre-Emmanuel des Boscs ◽  
Hendrik C. Kuhlmann
Keyword(s):  
Reynolds Number ◽  
Linear Stability ◽  
Couette Flow ◽  
Critical Reynolds Number ◽  
Cavity Flow ◽  
Basic Flow ◽  
Driven Cavity ◽  
Aspect Ratios ◽  
Driven Cavity Flow ◽  
Yaw Angle

The linear stability of the incompressible flow in an infinitely extended cavity with rectangular cross-section is investigated numerically. The basic flow is driven by a lid which moves tangentially, but at yaw with respect to the edges of the cavity. As a result, the basic flow is a superposition of the classical recirculating two-dimensional lid-driven cavity flow orthogonal to a wall-bounded Couette flow. Critical Reynolds numbers computed by linear stability analysis are found to be significantly smaller than data previously reported in the literature. This finding is confirmed by independent nonlinear three-dimensional simulations. The critical Reynolds number as a function of the yaw angle is discussed for representative aspect ratios. Different instability modes are found. Independent of the yaw angle, the dominant instability mechanism is based on the local lift-up process, i.e. by the amplification of streamwise perturbations by advection of basic flow momentum perpendicular to the sheared basic flow. For small yaw angles, the instability is centrifugal, similar as for the classical lid-driven cavity. As the spanwise component of the lid velocity becomes dominant, the vortex structures of the critical mode become elongated in the direction of the bounded Couette flow with the lift-up process becoming even more important. In this case the instability is made possible by the residual recirculating part of the basic flow providing a feedback mechanism between the streamwise vortices and the streamwise velocity perturbations (streaks) they promote. In the limit when the basic flow approaches bounded Couette flow the critical Reynolds number increases very strongly.

scholarly journals Numerical simulation of non-Newtonian Carreau fluid in a lid-driven cavity

2021 ◽  
Vol 2091 (1) ◽  
pp. 012068
Author(s):  
Li Shuguang
Keyword(s):  
Reynolds Number ◽  
Finite Difference ◽  
Power Law ◽  
Cavity Flow ◽  
Staggered Grid ◽  
Central Difference ◽  
Driven Cavity ◽  
Driven Cavity Flow ◽  
Power Law Index ◽  
Stress Term

Abstract In this work, the 2D lid-driven cavity flow of non-Newtonian Carreau fluids has been studied by finite difference method on a staggered grid. A finite-difference algorithm on staggered grid based on projection method is adopted to solve the lid-driven cavity flow, which includes a second-order central difference scheme for the non-Newtonian viscous stress term. This study has been conducted for the certain pertinent parameters of Reynolds number (Re=100-1000), power-law index (n=0.6-1.4). The results show that as the Reynolds number increases, the influence of the power-law index on the flow increases. As the power-law index decreases, the flow field becomes more complicated.

Analytical Solution for a Class of Quadrilateral Stepped Slider Bearings

1984 ◽  
Vol 106 (1) ◽  
pp. 140-144
Author(s):  
J. J. Blech ◽  
I. Etsion
Keyword(s):  
Finite Difference ◽  
Analytical Solution ◽  
Variational Method ◽  
Analytical Approximation ◽  
Slider Bearings ◽  
Aspect Ratios ◽  
Finite Difference Solution ◽  
Difference Solution

Analytical solution is presented for a class of quadrilateral stepped slider bearings. The solution is based on a variational method type of approximation. Results are compared with a finite difference solution to establish the range of validity of the analytical approximation. Bearings performance are presented for various aspect ratios and compared with the performance of the conventional rectangular stepped slider. A range of aspect ratios is found where the quadrilateral bearing is superior to the rectangular one.

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