An Inviscid Analysis in Polar Coordinates of Flow Between Two Flat Plates

1993 ◽  
Vol 60 (1) ◽  
pp. 65-69
Author(s):  
D. N. Contractor
Keyword(s):  
Numerical Solution ◽  
Flat Plate ◽  
Equation Of Motion ◽  
Polar Coordinates ◽  
Two Dimensional ◽  
Bernoulli Equation ◽  
Simultaneous Solution ◽  
Flat Plates ◽  
External Point ◽  
Two Dimensional Flow

An inviscid analysis is conducted of two-dimensional flow between a flat plate pivoting about an external point and falling onto another plate at rest. The motion of the fluid between the two plates is analyzed by the simultaneous solution of the unsteady Bernoulli equation, the equation of continuity, and the equation of motion for the plate. Numerical solution of the equations resulted in velocities and pressures along the plate as a function of time. The pressures were integrated to yield forces and moments on the falling plate. The results are compared with the motion of a horizontal flat plate falling vertically onto a rigid stationary flat plate. The two results are similar to one another.

Resistance of Two Inclined Parallel Flat Plates Placed in Tandem on a Stream-Wise Flat Plate in Two-Dimensional Flow

1993 ◽  
Vol 207 (6) ◽  
pp. 393-397
Author(s):  
R C Mehta ◽  
C R Rao ◽  
Y N Dubey
Keyword(s):  
Reynolds Number ◽  
Drag Coefficient ◽  
Flat Plate ◽  
Flow Direction ◽  
Considerable Extent ◽  
Appreciable Effect ◽  
Two Dimensional ◽  
Flat Plates ◽  
Dimensional Flow ◽  
Two Dimensional Flow

The paper presents the results of an experimental study on the drag coefficient of two inclined parallel flat plates, placed on a stream-wise flat plate, in tandem, in two-dimensional flow. The effects on the drag coefficient of Reynolds number, the inclination of the plates to the flow direction and the relative spacing between plates were studied. It is observed that, while the Reynolds number has no appreciable effect, the other parameters influence the drag coefficient to a considerable extent. The results are corrected for blockage effect and comparisons are made with the data collected by other investigators.

The slow transverse motion of a flat plate through a non-diffusive stratified fluid

1971 ◽  
Vol 47 (1) ◽  
pp. 171-181 ◽  
Author(s):  
G. S. Janowitz
Keyword(s):  
Viscous Fluid ◽  
Shear Layer ◽  
Flat Plate ◽  
Kinematic Viscosity ◽  
Vertical Plate ◽  
The Body ◽  
Vertical Shear ◽  
Transverse Motion ◽  
Two Dimensional ◽  
Two Dimensional Flow

We consider the two-dimensional flow produced by the slow horizontal motion of a vertical plate of height 2b through a vertically stratified (ρ = ρ0(1 - βz)) non-diffusive viscous fluid. Our results are valid when U2 [Lt ] Ub/ν [Lt ] 1, where U is the speed of the plate and ν the kinematic viscosity of the fluid. Upstream of the body we find a blocking column of length 10−2b4/(Uν/βg. This column is composed of cells of closed streamlines. The convergence of these cells near the tips of the plate leads to alternate jets. The plate itself is embedded in a vertical shear layer of thickness (Uν/βg)1/3. In the upstream portion of this layer the vertical velocities are of order U and in the downstream portion of order Ub/(Uν/βg)1/3 ([Gt ] U). The flow is uniform and undisturbed downstream of this layer.

On the drag of two-dimensional flow about a normal flat plate

1998 ◽  
Author(s):  
Chih-Yung Wen ◽  
Chih-Hsien Chuang ◽  
Tzu-Yao Lin
Keyword(s):  
Flat Plate ◽  
Two Dimensional ◽  
Dimensional Flow ◽  
Two Dimensional Flow

Dynamic Stability of a Flexible Plate Moving in a Parallel Flow

2013 ◽  
Author(s):  
Katsuhisa Fujita
Keyword(s):  
Flat Plate ◽  
Dynamic Stability ◽  
Equation Of Motion ◽  
Parallel Flow ◽  
Flexible Plate ◽  
Flat Plates ◽  
Flowing Fluid ◽  
Lower Velocity ◽  
Present Solution ◽  
Coupled Equation

The dynamic stability of a flexible plate subjected to a parallel flow is investigated when it moves in a flowing fluid. As the flexible flat plates, the papers in a high speed printing machine, the papers discharged by a paper machine, and the thin plastic and metal films, the fluttering flag and the oscillating doom roof caused by wind are enumerated. The fluid is assumed to be treated as an ideal fluid in a subsonic domain, and the fluid pressure is calculated using the velocity potential theory. The fluid-structure coupled equation of motion of a flexible flat plate supported simply at the both ends is derived into consideration with the added mass, added damping and added stiffness of a fluid, respectively. In addition, the effect of tension acting on a flexible plate, the influence of velocity of a moving plate and that of a fluid velocity, are also included into the coupled equation of motion respectively. The eigenvalue analysis is performed for the dynamic stability analysis. Changing the velocities of a plate and a fluid, and the specifications of a plate as parameter studies, the influences of these parameters on the dynamic stability of a plate are clarified. It is made clear that the plate moving in a still fluid becomes unstable at slightly lower velocity than the stationary plate subjected to a parallel flow. Moreover, it is found that the present solution shows a good agreement with the already reported experiments in which the flexible flat plate was a paper.

Sign in / Sign up

Export Citation Format

Share Document