Propagation of Sound Waves in a Cylindrical Tube Filled with a Porous Medium

The problem of peristaltic transport in a cylindrical tube through a porous medium has been investigated. A perturbation solution is obtained, which satisfies the momentum equation for the case in which the amplitude ratio is small. The results show that the fluid phase mean axial velocity increases with increasing the permeability parameterk. The phenomena of reflux is discussed. Numerical results are reported for various values of the physical parameter

Download Full-text

Dynamic Analysis of Shear Flows over a Porous Medium in a Cylindrical Tube

Advances in Mechanical Engineering ◽

10.1155/2013/168215 ◽

2013 ◽

Vol 5 ◽

pp. 168215

Author(s):

J. P. Dwivedi ◽

V. P. Singh ◽

Radha Krishna Lal

Keyword(s):

Porous Medium ◽

Dynamic Analysis ◽

Shear Flows ◽

Cylindrical Tube

Download Full-text

PERISTALTIC FLOW OF A COMPRESSIBLE NON-NEWTONIAN MAXWELLIAN FLUID THROUGH POROUS MEDIUM IN A TUBE

International Journal of Biomathematics ◽

10.1142/s1793524510000970 ◽

2010 ◽

Vol 03 (02) ◽

pp. 255-275 ◽

Cited By ~ 12

Author(s):

ISLAM M. ELDESOKY ◽

A. A. MOUSA

Keyword(s):

Porous Medium ◽

Stokes Equations ◽

Order Approximation ◽

Cylindrical Tube ◽

Peristaltic Transport ◽

Navier Stokes ◽

Mathematical Representation ◽

Physical Parameters ◽

Permeability Parameter ◽

Modified Darcy’S Law

This work is concerned with the peristaltic transport of a Newtonian and non-Newtonian Maxwellian fluid in an axisymetric cylindrical tube filled with a homogenous porous medium, in which the flow is induced by traveling transversal waves on the tube wall. Like in peristaltic pumping, the traveling transversal waves induce a net flow of the liquid inside the tube. The viscosity as well as the compressibility of the liquid is taken into account. Modified Darcy's law has been used to model the governing equation. The present theoretical model may be considered as mathematical representation to the case of gall bladder and bile duct with stones and dynamics of blood flow in living creatures. The Navier–Stokes equations for an axisymmetric cylindrical tube are solved by means of a perturbation analysis, in which the ratio of the wave amplitude to the radius of the tube is small parameter. In the second order approximation, a net flow induced by the traveling wave is calculated for various values of the compressibility of the liquid, relaxation time and the permeability parameter of porous medium. The calculations disclose that the compressibility of the liquid, the permeability parameter of porous medium and non-Newtonian effects in presence of peristaltic transport have a strong influence of the net flow rate. Finally, the graphical results are reported and discussed for various values of the physical parameters of interest.

Download Full-text

On Quality of Tone in Wind Instruments

Proceedings of the Musical Association ◽

10.1017/s0958844200006728 ◽

1879 ◽

Vol 6 ◽

pp. 79-90

Author(s):

D. J. Blaikley

Keyword(s):

Cylindrical Tube ◽

Short Paper ◽

Wind Instruments ◽

Sound Waves

It may be in the remembrance of some now present, that about two years ago I had the honour of bringing before the Musical Association a short paper on brass wind instruments, in which I endeavoured to demonstrate the effects produced by variations in the forms of tubes upon the positions of the nodes of sound-waves generated in such tubes, and consequently upon the sequence of proper tones and correctness of intonation. The summary of the matter then brought forward was this: that a brass instrument is a tube closed at one end, of such a form as to give the series of intervals producible from an open, and not from a closed cylindrical tube, such form being neither a common cone, nor a conic frustrum combined with cylindrical tube. At the conclusion, attention was drawn to the fact that quality of tone was intimately associated with the points then under consideration; and it is to this subject of quality of tone that I have ventured to ask your attention this afternoon.

Download Full-text