Local wave theory of elastic-body collision: Plane problem in the ideal-liquid approximation

1998 ◽  
Vol 34 (10) ◽  
pp. 997-1006 ◽  
Author(s):  
V. D. Kubenko
1995 ◽  
Vol 291 ◽  
pp. 263-285 ◽  
Author(s):  
Xue-Nong Chen ◽  
Som Deo Sharma

The problem solved concerns a slender ship moving at a near-critical steady speed in a shallow channel, not necessarily in symmetric configuration, involving the special phenomenon of generation of solitary waves. By using the technique of matched asymptotic expansions along with nonlinear shallow-water wave theory, the problem is reduced to a Kadomtsev–Petviashvili equation in the far field, matched with a nearfield solution obtained by an improved slender-body theory, taking the local wave elevation and longitudinal disturbance velocity into account. The ship can be either fixed or free to squat. Besides wave pattern and wave resistance, the hydrodynamic lift force and trim moment are calculated by pressure integration in the fixed-hull case; running sinkage and trim, by condition of hydrodynamic equilibrium in the free-hull case. The numerical procedure for solving the KP equation consists of a finite-difference method, namely, fractional step algorithm with Crank–Nicolson-like schemes in each half step. Calculated results are compared with several published shipmodel experiments and other theoretical predictions; satisfactory agreement is demonstrated.


1975 ◽  
Vol 30 (6-7) ◽  
pp. 916-917 ◽  
Author(s):  
R. Haase ◽  
M. Lethen ◽  
K.-H. Dücker

Abstract Results of measurements of the viscosity and of the molar volume for the ideal liquid system chlorobenzene + bromo-benzene are presented. They cover the whole composition range between 0 °C and 80 °C. Both the composition and the temperature dependence of the viscosity are discussed.


1980 ◽  
Vol 35 (10) ◽  
pp. 1116-1117
Author(s):  
R. Haase ◽  
H.-J. Jansen

Abstract For binary liquid mixtures of nonelectrolytes, we consider the dependence of the diffusion coefficient on composition and temperature, making use of an analytical expression for the kinematic diffusion coefficient (diffusion coefficient divided by thermodynamic factor). We present recent experimental data for the ideal liquid system chlorobenzene + bromobenzene and for the non-ideal liquid system water -f methanol as well as literature data for other non-ideal mixtures.


2020 ◽  
Vol 28 (1) ◽  
pp. 17-24
Author(s):  
S. A. Sokolovsky ◽  
A. I. Sokolovsky ◽  
O. A. Hrinishyn

The hydrodynamics of the electron subsystems of semiconductors is studied in the approximations of the ideal and real liquid, taking into account processes of relaxation of temperatures and macroscopic velocities of electrons and phonons without assuming the local equilibrium of the system. A set of integral equations for the electron distribution function of the first order in gradients is obtained, which determines the sources in the hydrodynamic equations of the ideal liquid approximation and the dissipative flows of energy and momentum of electrons. The steady states of the system in the ideal liquid approximation are investigated. The exact formulas for the electron mobility of the semiconductor and its conductivity are derived and kinetic coefficients that determine current in a spatially inhomogeneous state are calculated. In the presence of an electric field, the phenomenon of difference of temperatures of the electron and phonon subsystems is predicted. The obtained expressions are specified for the case of temperatures much higher the Debye temperature.


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