Acoustic resonances in a viscous fluid layer

1980 ◽  
Vol 67 (S1) ◽  
pp. S24-S24
Author(s):  
Ralph Fiorito ◽  
Walter Madigosky ◽  
Herbert Überall
Keyword(s):  
Viscous Fluid ◽  
Fluid Layer ◽  
Acoustic Resonances

On the Vibration Damping of a Plate by Means of a Viscous Fluid Layer

1987 ◽  
Vol 109 (2) ◽  
pp. 178-184 ◽  
Author(s):  
K. Uno Ingard ◽  
Adnan Akay
Keyword(s):  
Viscous Fluid ◽  
Frequency Response ◽  
Flow Resistance ◽  
Acoustic Radiation ◽  
Fluid Layer ◽  
Vibration Damping ◽  
Plate Motion ◽  
Flexible Plate ◽  
Dependent Flow ◽  
Rigid Plane

Vibration damping of a plate by means of a fluid layer is investigated. First, the frequency-dependent flow resistance of a fluid layer is explained with a simple illustration of the damping mechanism. Then, the vibration response of a plate is examined when it is backed by a rigid plane or another flexible plate with a fluid layer constricted in-between. Effects of the plate motion and acoustic radiation on the damping mechanism are also considered. The numerical results are presented in terms of frequency response of the plates.

Nonlinear Thermal Instability in a Rotating Viscous Fluid Layer Under Temperature/Gravity Modulation

2012 ◽  
Vol 134 (10) ◽  
Author(s):  
B. S. Bhadauria ◽  
P. G. Siddheshwar ◽  
Om P. Suthar
Keyword(s):  
Viscous Fluid ◽  
Heat Transport ◽  
Thermal Instability ◽  
Fluid Layer ◽  
Landau Equation ◽  
Effect Of Temperature ◽  
Stationary Mode ◽  
Gravity Modulation ◽  
Nonlinear Stability Analysis ◽  
Weakly Nonlinear

In the present paper, the effect of time-periodic temperature/gravity modulation on the thermal instability in a rotating viscous fluid layer has been investigated by performing a weakly nonlinear stability analysis. The disturbances are expanded in terms of power series of amplitude of modulation, which has been assumed to be small. The amplitude equation, viz., the Ginzburg–Landau equation, for the stationary mode of convection is obtained and using the same, the effect of temperature/gravity modulation on heat transport has been investigated. The stability of the system is studied and the stream lines are plotted at different slow times as a function of the amplitude of modulation, Rossby number, and Prandtl number. It is found that the temperature/gravity modulation can be used as an external means to augment/diminish heat transport in a rotating system. Further, it is shown that rotation can be effectively used in regulating heat transport.

Interfacial Instability of an Oscillating Shear Layer

1986 ◽  
Vol 108 (1) ◽  
pp. 89-92 ◽  
Author(s):  
C. K. Shyh ◽  
B. R. Munson
Keyword(s):  
Viscous Fluid ◽  
Rigid Body ◽  
Shear Layer ◽  
Fluid Layer ◽  
Interfacial Instability ◽  
Shear Layer Instability ◽  
Stability Results

The oscillating interface between a very viscous fluid layer (which oscillates as a nearly rigid body with the bounding container) and a relatively inviscid layer becomes unstable under certain conditions. The dimensionless experimental stability results are correlated by a modified form of the classical Kelvin-Helmholtz shear layer instability result.

Mathematical Model of Oscillations of a Three-Layered Channel Wall Possessing a Compressible Core and Interacting with a Pulsating Viscous Liquid Layer

2019 ◽  
pp. 4-18
Author(s):  
E.D. Grushenkova ◽  
L.I. Mogilevich ◽  
V.S. Popov ◽  
A.V. Khristoforova
Keyword(s):  
Mathematical Model ◽  
Viscous Fluid ◽  
Channel Wall ◽  
Stokes Equations ◽  
Fluid Layer ◽  
Fluid Pressure ◽  
Pressure Change ◽  
Narrow Channel ◽  
Distribution Functions ◽  
Layered Plate

The paper deals with the formulation of a mathematical model to study a dynamics interaction of a three-layered channel wall with a pulsating viscous fluid layer in a channel. The narrow channel formed by two parallel walls was considered. The lower channel wall was a three-layered plate with a compressible core, and the upper one was absolutely rigid. The face sheets of the three-layered plate satisfied Kirchhoff's hypotheses. The plate core was considered rigid taking into account its compression in the transverse direction. Plate deformations were assumed to be small. The continuity conditions of displacements are satisfied at the layers' boundaries of the three-layered plate. The oscillations of the three-layered channel wall occurred under the action of a given law of pressure pulsation at the channel edges. The dynamics of the viscous incompressible fluid layer within the framework of a creeping motion was considered. The formulated mathematical model consisted of the dynamics equations of the three-layered plate with compressible core, Navier --- Stokes equations, and the continuity equation. The boundary conditions of the model were the conditions at the plate edges, the no-slip conditions at the channel walls and the conditions for pressure at the channel edges. The steady-state harmonic oscillations were investigated and longitudinal displacements and deflections of the plate face sheets were determined. Frequency-dependent distribution functions of amplitudes of plate layers displacements were introduced. These functions allow us to investigate the dynamic response of the channel wall and the fluid pressure change in the channel. The elaborated model can be used for the evolution of non-destructive testing of elastic three-layered elements contacting with a viscous fluid layer and being part of the lubrication, damping or cooling systems of modern instruments and units.

Sign in / Sign up

Export Citation Format

Share Document