Non-linear mathematical models for the jets penetrating liquid pool of different density under diverse physical conditions and their simulation

摘要

The problem of modelling and simulation for the jets penetrating pool of other liquids is considered under different physical conditions and situations. It may happen for example in severe accidents at the nuclear power plants in touch with development and operation of the passive protection systems against severe accidents, as well as in many other problems. The specific peculiarities of the penetrating jets are discussed and mathematical modelling of the problem is considered. The non-linear second-order differential equation and the Cauchy problem is analyzed and solved analytically using the simultaneous transformation for both dependent and independent variables. The result obtained may be useful for theoretical and practical applications, where the liquid jet or solid rod is penetrating the pool of other liquid.