scholarly journals Time-fractional effect on pressure waves propagating through a fluid filled circular long elastic tube

2016 ◽  
Vol 3 (1) ◽  
pp. 35-43 ◽  
Author(s):  
Essam M. Abulwafa ◽  
E.K. El-Shewy ◽  
Abeer A. Mahmoud
Keyword(s):  
Elastic Tube ◽  
Pressure Waves

The Effect of a Surrounding Fluid on Pressure Waves in a Fluid-Filled Elastic Tube

1955 ◽  
Vol 22 (2) ◽  
pp. 227-231
Author(s):  
M. C. Junger
Keyword(s):  
Sound Velocity ◽  
Surrounding Medium ◽  
Elastic Tube ◽  
Pressure Waves ◽  
End Effects ◽  
Fluid Medium ◽  
Phase Velocities ◽  
Radiation Losses ◽  
Surrounding Fluid ◽  
Theory Of Shells

Abstract The analysis of the transmission of pressure waves in a fluid-filled elastic tube has been extended to the case where the tube is surrounded by a fluid medium. The sound pressure inside the tube is the resultant of a number of modes, some of which are nonpropagating, while others propagate at their own characteristic phase velocities. Neglecting end effects, and for continuously generated waves, it is found that only the modes whose velocity is larger than the sound velocity of the surrounding medium radiate sound energy radially outward. These modes will be damped out by radiation losses, while modes having a phase velocity smaller than this sound velocity are propagated without attenuation (if viscous and heat-transfer losses are neglected). Consequently, if the fluid is the same in the surrounding medium and in the tube only the lowest mode, which resembles a plane wave, propagates unattenuated. In any case, the mass-loading of the surrounding fluid lowers the phase velocities of the propagating modes, particularly at intermediate frequencies. It is shown that in this application the membrane theory of shells will lead to incorrect results, even in thin-walled tubes. This is illustrated by comparison with experimental data.

scholarly journals Propagation of Nonlinear Pressure Waves in Blood

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
A. Elgarayhi ◽  
E. K. El-Shewy ◽  
Abeer A. Mahmoud ◽  
Ali A. Elhakem
Keyword(s):  
Vries Equation ◽  
Finite Amplitude ◽  
Reductive Perturbation Method ◽  
Elastic Tube ◽  
Pressure Waves ◽  
Weakly Nonlinear ◽  
Flow Problems ◽  
Inner Radius ◽  
Reductive Perturbation ◽  
Conditions Of Stability

The propagation of weakly nonlinear pressure waves in a fluid-filled elastic tube has been investigated. The reductive perturbation method has been employed to derive the Korteweg-de Vries equation for small but finite amplitude. The effect of the final inner radius of the tube on the basic properties of the soliton wave was discussed. Moreover, the conditions of stability and the soliton existence via the potential and the corresponding phase portrait were computed. The applicability of the present investigation to flow problems in arteries is discussed.

Application of LMS Imagine.Lab Amesim Package for Simulation the Propagation of Pressure Waves Liquid in Pipeline

2017 ◽  
Vol 14 (4) ◽  
pp. 78-90
Author(s):  
K.N. Proskuryakov ◽  
A.I. Fedorov ◽  
M.V. Zaporozhets
Keyword(s):  
Pressure Waves
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