title: ÐÐ¼Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð²ÑÐ¿Ð»ÑÑÐ¸Ñ ÑÐ²ÐµÑÐ´Ð¾Ð³Ð¾ ÑÐµÐ»Ð° Ð² ÑÐºÐ°Ð·Ð°Ð½Ð½ÑÑ ÑÐ¾ÑÐºÑ Ð¿Ð¾Ð²ÐµÑÑ Ð½Ð¾ÑÑÐ¸ Ð² ÑÐ¿Ð»Ð¾ÑÐ½Ð¾Ð¹ ÑÑÐµÐ´Ðµ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Simulation model of the ascent of a solid body to a specified point of the surface in a continuous medium
Creators: name: ÐÑÑÐ¸Ð½, Ð¡ÐµÑÐ³ÐµÐ¹
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2022
Subjects: Ð´Ð²Ð¸Ð¶ÐµÐ½Ð¸Ðµ ÑÐ²ÐµÑÐ´Ð¾Ð³Ð¾ ÑÐµÐ»Ð° Ð² Ð¶Ð¸Ð´ÐºÐ¾ÑÑÐ¸
Ð²ÑÐ¿Ð»ÑÑÐ¸Ðµ ÑÐ²ÐµÑÐ´Ð¾Ð³Ð¾ ÑÐµÐ»Ð° Ð¿Ð¾Ð´ Ð²Ð¾Ð·Ð´ÐµÐ¹ÑÑÐ²Ð¸ÐµÐ¼ Ð²ÑÑÐ°Ð»ÐºÐ¸Ð²Ð°ÑÑÐµÐ¹ ÑÐ¸Ð»Ñ
Ð¸Ð´ÐµÐ°Ð»ÑÐ½Ð°Ñ Ð¶Ð¸Ð´ÐºÐ¾ÑÑÑ
ÑÐ´Ð²Ð¸Ð³Ð¾Ð²Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ
Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ
motion of a solid body in a liquid
ascent of a solid body under the influence of an ejecting force
ideal liquid
shear flow
mathematical model

description: Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð° Ð¸Ð¼Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð²ÑÐ¿Ð»ÑÑÐ¸Ñ ÑÐ²ÐµÑÐ´Ð¾Ð³Ð¾ ÑÐµÐ»Ð° Ð² ÑÐºÐ°Ð·Ð°Ð½Ð½ÑÑ ÑÐ¾ÑÐºÑ Ð¿Ð¾Ð²ÐµÑÑÐ½Ð¾ÑÑÐ¸ Ð² ÑÐ¿Ð»Ð¾ÑÐ½Ð¾Ð¹ ÑÑÐµÐ´Ðµ. Ð¦ÐµÐ»ÑÑ Ð´Ð°Ð½Ð½Ð¾Ð³Ð¾ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ²Ð»ÑÐµÑÑÑ Ð¿Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸, Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÑÑÐµÐ¹ Ð²ÑÑÐ¸ÑÐ»Ð¸ÑÑ Ð¼Ð¾Ð¼ÐµÐ½Ñ Ð²ÑÐµÐ¼ÐµÐ½Ð¸ Ð¸ ÐºÐ¾Ð¾ÑÐ´Ð¸Ð½Ð°ÑÑ ÑÐ¾ÑÐºÐ¸ Ð²ÑÐ¿Ð»ÑÑÐ¸Ñ ÑÐµÐ»Ð°, ÐµÑÐ»Ð¸ Ð·Ð°Ð´Ð°Ð½Ñ Ð¼Ð¾Ð¼ÐµÐ½Ñ Ð½Ð°ÑÐ°Ð»Ð° Ð²ÑÐ¿Ð»ÑÑÐ¸Ñ, Ð³Ð»ÑÐ±Ð¸Ð½Ð° Ð²Ð¾Ð´Ð¾ÑÐ¼Ð°, ÑÐºÐ¾ÑÐ¾ÑÑÑ ÑÐ´Ð²Ð¸Ð³Ð¾Ð²Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ, Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÑ Ð·Ð°Ð¿Ð¾Ð»Ð½ÑÑÑÐµÐ¹ Ð²Ð¾Ð´Ð¾ÑÐ¼ Ð¶Ð¸Ð´ÐºÐ¾ÑÑÐ¸. ÐÑÐ½Ð¾Ð²Ð½Ð¾Ð¹ Ð·Ð°Ð´Ð°ÑÐµÐ¹, ÐºÐ¾ÑÐ¾ÑÑÑ ÑÐ»ÐµÐ´ÑÐµÑ ÑÐµÑÐ¸ÑÑ Ð´Ð»Ñ Ð´Ð¾ÑÑÐ¸Ð¶ÐµÐ½Ð¸Ñ ÑÐºÐ°Ð·Ð°Ð½Ð½Ð¾Ð¹ Ð²ÑÑÐµ ÑÐµÐ»Ð¸, ÑÐ²Ð»ÑÐµÑÑÑ Ð·Ð°Ð´Ð°ÑÐ° Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¼Ð¾Ð¼ÐµÐ½ÑÐ° Ð²ÑÐµÐ¼ÐµÐ½Ð¸, Ð² ÐºÐ¾ÑÐ¾ÑÑÐ¹ ÑÐµÐ»Ð¾ 1 Ð´Ð¾Ð»Ð¶Ð½Ð¾ Ð½Ð°ÑÐ°ÑÑ Ð´Ð²Ð¸Ð¶ÐµÐ½Ð¸Ðµ Ñ ÑÐµÐ¼, ÑÑÐ¾Ð±Ñ Ð³Ð°ÑÐ°Ð½ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾ Ð²ÑÑÑÐµÑÐ¸ÑÑÑÑ Ð½Ð° Ð¿Ð¾Ð²ÐµÑÑÐ½Ð¾ÑÑÐ¸ Ñ Ð·Ð°ÑÐ°Ð½ÐµÐµ Ð·Ð°Ð´Ð°Ð½Ð½ÑÐ¼ ÑÐµÐ»Ð¾Ð¼ 2. ÐÐ»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð´Ð°Ð½Ð½Ð¾Ð¹ Ð·Ð°Ð´Ð°ÑÐ¸ Ð¿ÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ñ Ð´Ð¸ÑÑÐµÑÐµÐ½ÑÐ¸Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ð´Ð»Ñ Ð¾Ð´Ð½Ð¾ÑÐ»Ð¾Ð¹Ð½Ð¾Ð¹ Ð¸ ÑÑÑÐ°ÑÐ¸ÑÐ¸ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ Ð¶Ð¸Ð´ÐºÐ¾ÑÑÐ¸. ÐÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ñ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ñ Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð¼ Ð¿Ð°ÐºÐµÑÐµ MATLAB. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ð¹ Ð±ÑÐ»Ð¸ Ð¿Ð¾Ð»ÑÑÐµÐ½Ñ ÐºÐ¾Ð¾ÑÐ´Ð¸Ð½Ð°ÑÑ Ð¸ Ð²ÑÐµÐ¼Ñ Ð²ÑÐ¿Ð»ÑÑÐ¸Ñ ÑÐ²ÐµÑÐ´Ð¾Ð³Ð¾ ÑÐµÐ»Ð° Ð² Ð¾Ð´Ð½Ð¾ÑÐ»Ð¾Ð¹Ð½Ð¾Ð¹ Ð¸ ÑÑÑÐ°ÑÐ¸ÑÐ¸ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ Ð¶Ð¸Ð´ÐºÐ¾ÑÑÐ¸. ÐÐ°Ð½Ð½ÑÐµ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ñ Ð¼Ð¾Ð¶Ð½Ð¾ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°ÑÑ Ð¿ÑÐ¸ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸ÑÑ Ð²Ð¾Ð´Ð½Ð¾Ð¹ ÑÑÐµÐ´Ñ, Ð° ÑÐ°ÐºÐ¶Ðµ Ð² Ð²Ð¾ÐµÐ½Ð½ÑÑ ÑÐµÐ»ÑÑ.
description: In this final qualifying work, an imitation model of the ascent of a solid body to a specified point of the surface in a continuous medium is considered. The purpose of this study is to construct a mathematical model that allows cal-culating the moment of time and coordinates of the point of ascent of the body, if the moment of the beginning of ascent, the depth of the reservoir, the velocity of the shear flow, the density of the liquid filling the reservoir are given. The main task to be solved in order to achieve the above goal is the task of determining the moment in time at which body 1 should start moving in order to be guaranteed to meet on the surface with a predetermined body 2. To solve this problem, an algorithm for calculating the differential equation for a single-layer and stratified liquid is proposed. Calculations were made in the MATLAB software package. As a result of calculations, the coordinates and time of the ascent of a solid in a single-layer and stratified liquid were obtained. These calculations can be used in studies of the aquatic environment, as well as for military purposes.