Analytical solution of the problem of wave flow of a viscoelastic fluid in an elastic tube taking into account the effect of narrowing

2008 ◽  
Vol 53 (1) ◽  
pp. 39-42 ◽  
Author(s):  
R. Yu. Amenzadeh
Keyword(s):  
Analytical Solution ◽  
Viscoelastic Fluid ◽  
Elastic Tube ◽  
Wave Flow

scholarly journals Wear of elastic tube with nonuniform coating by rigid bush

2020 ◽  
Vol 162 ◽  
pp. 02002 ◽  
Author(s):  
Kirill E. Kazakov
Keyword(s):  
Analytical Solution ◽  
Special Form ◽  
Special Functions ◽  
Contact Stresses ◽  
Elastic Tube ◽  
Analytical Representation ◽  
Standard Methods ◽  
In Series ◽  
Separate Factor ◽  
Over Time

This article is devoted to the statement and construction of analytical solution of the wearcontact problem for a rigid bush and elastic pipe with a coating in the case when the coating is nonuniform. The presence of nonuniformity leads us to the necessity of constructing a solution in a special form over special functions, since standard methods does not allow us to effectively take into account the complex properties of the coating. Analytical representation for contact stresses under the bush is presented in series with separate factor, which connect with complex properties of coating. This allows provide effective calculation even if these properties are described by rapidly changing or discontinuous functions. It is also shown that contact stresses will be negligible over time.

scholarly journals THREE-LAYER ANALYTICAL SOLUTION FOR WAVE ATTENUATION BY SUSPENDED AND NONSUSPENDED VEGETATION CANOPY

2017 ◽  
pp. 27 ◽  
Author(s):  
Longhuan Zhu ◽  
Qingping Zou
Keyword(s):  
Analytical Solution ◽  
Wave Attenuation ◽  
Present Theory ◽  
Wave Frequency ◽  
Vertical Position ◽  
Wave Flow ◽  
Vegetation Canopy ◽  
Canopy Density ◽  
Sea Bed ◽  
The Relationship

A generalized three-layer analytical solution for the wave attenuation by suspended and non-suspended vegetation canopy is developed in this study. The analytical solution reduces to the two-layer analytical solution by Kobayashi et al. (1993) for the non-suspended vegetation canopy rooted at the sea bed. The present theory is verified using laboratory experiments and field observations of a suspended and non-suspended as well as emerged and submerged vegetation canopy. The wave attenuation increase with the drag coefficient, blade diameter and length, canopy density and length, the elevation of the bottom of the canopy and the incident wave height. The influences of wave frequency and water depth on wave attenuation are more complex. They affect the wave attenuation mainly by changing the wave flow velocity encountered by the vegetation canopy. As a result, the canopy vertical position has significant impact on the relationship between the wave attenuation and wave frequency.

Fore-Aft Stiffness Characteristics Of Pneumatic Tires

1974 ◽  
Vol 2 (2) ◽  
pp. 79-101 ◽  
Author(s):  
R. N. Dodge ◽  
S. K. Clark
Keyword(s):  
Mathematical Model ◽  
Analytical Solution ◽  
Structural Data ◽  
Close Correlation ◽  
Elastic Stiffness ◽  
Elastic Tube ◽  
Simple Mathematical Model ◽  
Proposed Model ◽  
Stiffness Characteristics ◽  
Pneumatic Tires

Abstract A simple mathematical model is proposed for estimating the fore-aft elastic stiffness of pneumatic tires. This model is based upon two idealized solutions, the first being that for the extensional stiffness of a pressurized tube reinforced with inextensible cords, while the second solution is that for the shear deformation of an unpressurized elastic tube. The combination of these two elements allows one to estimate fore-aft stiffness characteristics of pneumatic tires. The validity of the proposed model was tested by static measurements at different inflation pressures of the fore-aft spring rates of four tires varying in size and construction. Additional structural data required for the analytical solution of the model were also obtained from these tires. Comparison of the calculated and experimental results indicates that the trends are generally correct, although close correlation between experiment and calculation is difficult to obtain.

Sign in / Sign up

Export Citation Format

Share Document