Mathematical modeling of longitudinal oscillations tapered narrow channel wall under pulsating pressure of highly viscous liquid

2016 ◽  
Vol 10 ◽  
pp. 2627-2635 ◽  
Author(s):  
V.S. Popov ◽  
A.A. Popova ◽  
D.L. Sokolova
Keyword(s):  
Mathematical Modeling ◽  
Viscous Liquid ◽  
Channel Wall ◽  
Narrow Channel

scholarly journals Nonlinear Waves Mathematical Modeling in Coaxial Shells Filled with Viscous Liquid

2016 ◽  
Vol 16 (3) ◽  
pp. 331-336
Author(s):  
Yu. A. Blinkov ◽  
◽  
Yu. N. Kondratova ◽  
A. V. Mesyanzhin ◽  
L. I. Mogilevich ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Viscous Liquid ◽  
Nonlinear Waves

Experimental Investigation on the Effect of Bubble Behavior on Flow Boiling Pressure Drop in Narrow Channel

2012 ◽  
Author(s):  
Deqi Chen ◽  
Ren Song ◽  
Liang-ming Pan
Keyword(s):  
Experimental Investigation ◽  
Pressure Drop ◽  
Void Fraction ◽  
High Speed ◽  
Channel Wall ◽  
Flow Boiling ◽  
Narrow Channel ◽  
High Speed Camera ◽  
Bubble Behavior ◽  
Channel Dimension

Bubble behavior in narrow channel can be quite different with that in conventional channel. When the bubble reaches a size which is comparable with the channel dimension, the bubble is confined by the channel wall. This influences the bubble evolution significantly in the narrow channel. Then the characteristics of pressure drop in the narrow channel is affected significantly. In order to investigate the effect of bubble behavior on flow boiling pressure drop, a visual study was carried out with a high speed camera (5,000 frame per second was used) to record the bubble behavior. It is found that the OSV (Onset of Significant Vapor) emerges much earlier in narrow channel when comparing with that in conventional channel. A revised correlation for prediction of the real void fraction is proposed based on the experimental investigation. It is also found that the bubble behavior affects the pressure drop in narrow channel significantly, and the channel will be blocked easily when the confined vapor cluster appears. The pressure drop, however, dose not increase linearly with increasing void fraction, and the minimum pressure drop occurs with 60% void fraction. With increasing void fraction, the bubble behavior is more intense and turbulent, which induces more severe fluctuation in pressure drop.

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.

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