A numerical method of solution for the Kelvin-Neumann problem

Author(s):  
C. Korving
2017 ◽  
Vol 865 ◽  
pp. 325-330 ◽  
Author(s):  
Vladimir I. Andreev ◽  
Lyudmila S. Polyakova

The paper proposes the numerical method of solution the problems of calculation the stress state in thick-walled cylinders and spheres from physically nonlinear inhomogeneous material. The urgency of solved problem due to the change of mechanical properties of materials under the influence of different physical fields (temperature, humidity, radiation, etc.). The deformation diagram describes the three-parameter formula. The numerical method used the method of successive approximations. The results of numerical calculation are compared with the test analytical solutions obtaining the authors with some restrictions on diagram parameters. The obtained results can be considered quite satisfactory.


1970 ◽  
Vol 12 (1) ◽  
pp. 1-8 ◽  
Author(s):  
B. C. Majumdar

An externally pressurized gas journal bearing with multiple supply holes is analysed theoretically by numerical method of solution. The load and flow are predicted by considering both axial and circumferential flow. These load and flow expressed in dimensionless factors are presented for different bearing design parameters. The results are compared with the similar available approximate method.


1972 ◽  
Vol 23 (2) ◽  
pp. 161-168 ◽  
Author(s):  
M Zamir

SummarySolutions of equations governing the flow in the plane of symmetry of a corner boundary layer with favourable pressure gradients are presented. The results indicate that as the pressure gradient is reduced the secondary flow in the plane of symmetry reverses its direction from a flow into the corner to an outflow away from the corner, the main velocity profile being of the separation type with zero gradient at the wall and a point of inflection within the boundary layer. As the pressure gradient is reduced further the numerical method of solution is found to break down, possibly because of a drastic change of character in the family of solutions. This may be indicative of a corresponding change of character in the physical flow which, it is hoped, may clarify some of the unexplained phenomena disclosed by recent experiments on the corner boundary layer with zero pressure gradient.


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