No-slip wall acoustic boundary condition treatment in the incompressible limit

2013 ◽  
Vol 86 ◽  
pp. 92-102 ◽  
Author(s):  
Marianne Cuif Sjöstrand ◽  
Yves D’Angelo ◽  
Eric Albin
Keyword(s):  
Boundary Condition ◽  
Incompressible Limit ◽  
Acoustic Boundary Condition

scholarly journals Stability of detonation in a circular pipe with porous walls

2012 ◽  
Vol 370 (1960) ◽  
pp. 668-688 ◽  
Author(s):  
Carlos Chiquete ◽  
Anatoli Tumin
Keyword(s):  
Boundary Condition ◽  
Stability Problem ◽  
Temporal Stability ◽  
Porous Wall ◽  
Circular Pipe ◽  
Normal Velocity ◽  
Point Boundary ◽  
Acoustic Boundary Condition ◽  
Porous Walls ◽  
The Stability

A stability analysis is carried out taking into account slightly porous walls in an idealized detonation confined to a circular pipe. The analysis is carried out using the normal-mode approach and corrections are obtained to the underlying impenetrable wall case results to account for the effect of the slight porosity. The porous walls are modelled by an acoustic boundary condition for the perturbations linking the normal velocity and the pressure components and thus replacing the conventional no-penetration boundary condition at the wall. This new boundary condition necessarily complicates the derivation of the stability problem with respect to the impenetrable wall case. However, exploiting the expressly slight porosity, the modified temporal stability can be determined as a two-point boundary value problem similar to the case of a non-porous wall.

scholarly journals Robustness of Polynomial Stability of Damped Wave Equations

2022 ◽  
Author(s):  
Dmytro Baidiuk ◽  
Lassi Paunonen
Keyword(s):  
Boundary Condition ◽  
Wave Equations ◽  
Sufficient Conditions ◽  
Two Dimensional ◽  
Polynomial Stability ◽  
One Dimensional ◽  
Acoustic Boundary Condition ◽  
The Stability ◽  
Perturbed Equation ◽  
Dimensional Wave

AbstractIn this paper we present new results on the preservation of polynomial stability of damped wave equations under addition of perturbing terms. We in particular introduce sufficient conditions for the stability of perturbed two-dimensional wave equations on rectangular domains, a one-dimensional weakly damped Webster’s equation, and a wave equation with an acoustic boundary condition. In the case of Webster’s equation, we use our results to compute explicit numerical bounds that guarantee the polynomial stability of the perturbed equation.

Influence of heat source in a pipe on an upstream-acoustic-boundary condition

2018 ◽  
Vol 2018 (0) ◽  
pp. J1020202
Author(s):  
Dan NANNO ◽  
Kan MITANI ◽  
Akane UEMICHI ◽  
Shigehiko KANEKO
Keyword(s):  
Boundary Condition ◽  
Heat Source ◽  
Acoustic Boundary Condition

Physical Insight of the Source Data of a Two-Port Acoustic Source Model

2010 ◽  
Vol 44-47 ◽  
pp. 3413-3417
Author(s):  
Bin Zhang ◽  
Xue Jun Liu ◽  
Rui Xiang Song ◽  
Bin Liu ◽  
Tao Feng
Keyword(s):  
Boundary Condition ◽  
External Source ◽  
Source Model ◽  
State Equation ◽  
Acoustic Source ◽  
Theoretical Derivation ◽  
Acoustic Boundary Condition ◽  
Source Data ◽  
Physical Insight ◽  
Full Absorption

The physical insight of the source data of two-port acoustic source model for a duct is studied in theoretical, experimental and numerical aspects respectively. Under the ideal acoustic boundary condition of full absorption at the duct ends, the state equation of two-port acoustic source model is discussed, and the physical insight of the source data is obtained through theoretical derivation. The experimental model of two-port acoustic source is established, and the source data have been measured by the method “with an external source”. The physical meaning of source data has been demonstrated through the experimental method. The numerical simulating model for the experiment system is built, and the source data obtained numerically are compared with those measured experimentally for research. From the comparison, it is concluded that the source data of two-port acoustic source model are the traveling wave propagating outside along the duct under the acoustic boundary condition of full absorption at duct ends.

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