ВИКОРИСТАННЯ ОПЕРАЦІЙНОГО ЧИСЛЕННЯ ПРИ РІШЕННІ ЗАДАЧ В ГІДРАВЛІЦІ

Abstract

The solution of thermal conductivity, which describes the movement of liquids into a thin-layer sump and the unstable movement in the pipeline, is solved by numerous methods. In the absence of a certified program, or programming experience, there is a need to find an adequate replacement for a numerous method. It is proposed to use the method of operational calculation, which describes the operation of integration over time into numerical type and, thus, the heat equation is converted into an ordinary differential equation, the solution of which is found by standard methods. The expression for the solution of the differential equation includes a parameter that shows the time integral into an arithmetic operation (Laplace transform). From directories for operational calculation, an equation with a parameter (reflection) goes into an equation in which
the source data (original) is presented. Application of the operational calculation for solving hydraulics problems allows obtaining results without using numerical methods. The obtained solutions of hydraulic problems make it possible to extend these results to other problems in which fluid motion is subordinated to the heat equation.