Numerical minimization of the kinetic-energy integral of the flow of a liquid in a bent circular tube

1974 ◽  
Vol 10 (2) ◽  
pp. 193-198
Author(s):  
A. A. Bykov ◽  
G. A. Shelud'ko
Keyword(s):  
Kinetic Energy ◽  
Circular Tube ◽  
Energy Integral ◽  
Numerical Minimization

VI.—The Kinetic Energy of Viscous Flow through a Circular Tube

1914 ◽  
Vol 34 ◽  
pp. 60-63
Author(s):  
A. H. Gibson
Keyword(s):  
Kinetic Energy ◽  
Viscous Fluid ◽  
Viscous Flow ◽  
Circular Tube ◽  
Circular Pipe ◽  
Stream Line ◽  
Line Flow ◽  
Flow Through ◽  
Image Position

In the stream-line flow of a viscous fluid through a circular pipe of radius a, the velocity of flow at any radius x is given bywhere

scholarly journals A wave driver theory for vortical waves propagating across junctions with application to those between rigid and compliant walls

2009 ◽  
Vol 625 ◽  
pp. 1-46 ◽  
Author(s):  
P. K. SEN ◽  
P. W. CARPENTER ◽  
S. HEGDE ◽  
C. DAVIES
Keyword(s):  
Numerical Simulation ◽  
Kinetic Energy ◽  
Direct Numerical Simulation ◽  
Outgoing Wave ◽  
Energy Integral ◽  
Incoming Wave ◽  
Cutoff Frequencies ◽  
New Concepts ◽  
Compliant Walls ◽  
Simulation Results

A theory is described for propagation of vortical waves across alternate rigid and compliant panels. The structure in the fluid side at the junction of panels is a highly vortical narrow viscous structure which is idealized as a wave driver. The wave driver is modelled as a ‘half source cum half sink’. The incoming wave terminates into this structure and the outgoing wave emanates from it. The model is described by half Fourier–Laplace transforms respectively for the upstream and downstream sides of the junction. The cases below cutoff and above cutoff frequencies are studied. The theory completely reproduces the direct numerical simulation results of Davies & Carpenter (J. Fluid Mech., vol. 335, 1997, p. 361). Particularly, the jumps across the junction in the kinetic energy integral, the vorticity integral and other related quantities as obtained in the work of Davies & Carpenter are completely reproduced. Also, some important new concepts emerge, notable amongst which is the concept of the pseudo group velocity.

Dependence of the joint configuration on the dynamic immobility fulcrum

2019 ◽  
pp. 108-114
Author(s):  
A. D. Kozlov ◽  
Yu. P. Potekhina
Keyword(s):  
Kinetic Energy ◽  
Convex Surface ◽  
The Other ◽  
Concave Surface ◽  
Joint Configuration ◽  
Articular Surfaces

Although joints with synovial cavities and articular surfaces are very variable, they all have one common peculiarity. In most cases, one of the articular surfaces is concave, whereas the other one is convex. During the formation of a joint, the epiphysis, which has less kinetic energy during the movements in the joint, forms a convex surface, whereas large kinetic energy forms the epiphysis with a concave surface. Basing on this concept, the analysis of the structure of the joints, allows to determine forces involved into their formation, and to identify the general patterns of the formation of the skeleton.

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