scholarly journals Solution of Some Problems in the Exact Theory of Visco-Elasticity

1956 ◽  
Vol 5 (1) ◽  
pp. 179-188 ◽  
Author(s):  
R. Rivlin
Keyword(s):  
1997 ◽  
Vol 62 (3) ◽  
pp. 397-419 ◽  
Author(s):  
Ondřej Wein ◽  
Václav Sobolík

An exact theory is given of the voltage-step transient under limiting diffusion conditions for an electrodiffusion friction probe of arbitrary convex shape. The actual transient courses are given for the strip, circular, elliptic, triangular, and rectangular probes of any orientation with respect to the flow direction. A simple formula for any probe with a single working electrode of convex shape is suggested to facilitate the calibration of electrodiffusion probes based on the voltage-step transient.


1938 ◽  
Vol 43 (5) ◽  
pp. 790-798 ◽  
Author(s):  
Karl Menger
Keyword(s):  

1960 ◽  
Vol 11 (1) ◽  
pp. 1-21 ◽  
Author(s):  
N. Curle

SummaryStratford's analysis of the laminar boundary layer near separation uses two physical ideas. In the outer part of the boundary layer, where viscous effects are small, the development is given by the condition that the total head is constant along streamlines, apart from a second-order correction for viscosity. Near the wall, however, viscous forces must balance the pressure forces, and the profile adjusts itself accordingly. Quantitatively these ideas yield a simple formula for predicting separation, which has been found to be particularly accurate.In this paper it is indicated how the same approach may be used to yield the full distribution of skin friction along the wall. Further, the effects of suction may be incorporated into the method. Physically, suction affects the outer part of the boundary layer in that the streamlines are drawn towards the wall when suction is applied. At the wall, the balance between viscous and pressure forces is influenced by the momentum of the fluid which is sucked away. When these effects are accounted for quantitatively, the resulting formula for the skin friction is still very simple.Several examples are considered, and comparison is made with exact theory and with approximate results by other methods. It is indicated that the method has a useful range of validity.


1981 ◽  
Vol 59 (10) ◽  
pp. 1560-1562 ◽  
Author(s):  
T. Keyes ◽  
P. A. Madden

An exact, computationally convenient, expression for light scattering by a dense lattice gas is presented. It is shown how the exact theory can be used as a benchmark to test the assumption always made so far, that "pair" or "double" scattering is the dominant mechanism for depolarization by simple liquids. The tenability of the dipole – induced dipole model may be determined by the outcome of the indicated test.


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