title: ÐÐ½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¸ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð½ÐµÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½ÑÑ Ð¿ÑÐ¾ÑÐµÑÑÐ¾Ð² Ð² ÑÐµÑÐ¼Ð¾ÑÐ»ÐµÐºÑÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ°Ñ
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: Analytical and numerical study of non-stationary processes in thermoelectric elements
Creators: name: Ð¯ÑÑÑÐºÐ¾Ð²Ð°, ÐÑÐµÐ½Ð¸Ñ
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: 2023
Subjects: ÑÐµÑÐ¼Ð¾ÑÐ»ÐµÐºÑÑÐ¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ»ÐµÐ¼ÐµÐ½Ñ
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ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ
Ð½ÐµÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½ÑÐ¹ Ð¿ÑÐ¾ÑÐµÑÑ Ð¾Ñ Ð»Ð°Ð¶Ð´ÐµÐ½Ð¸Ñ
thermoelectric element
semi-infinite rod
temperature distribution
non-stationary cooling process

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ Ð¿ÑÐ¸ Ð½ÐµÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð¼ Ð¿ÑÐ¾ÑÐµÑÑÐµ Ð¾ÑÐ»Ð°Ð¶Ð´ÐµÐ½Ð¸Ñ Ð² ÑÐµÑÐ¼Ð¾ÑÐ»ÐµÐºÑÑÐ¸ÑÐµÑÐºÐ¾Ð¼ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐµ. Ð¦ÐµÐ»ÑÑ Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ ÑÐ²Ð»ÑÐµÑÑÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð½ÐµÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½ÑÑ Ð¿ÑÐ¾ÑÐµÑÑÐ¾Ð² Ð¾ÑÐ»Ð°Ð¶Ð´ÐµÐ½Ð¸Ñ Ð¿ÑÐ¸ Ð´ÐµÐ¹ÑÑÐ²Ð¸Ð¸ Ð¿ÐµÑÐµÐ¼ÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐ¾ÐºÐ° Ð½Ð° ÑÐµÑÐ¼Ð¾ÑÐ»ÐµÐ¼ÐµÐ½Ñ, Ð¸ Ð¿Ð¾Ð¸ÑÐº ÑÐ¾ÑÐ¼Ñ Ð¸Ð¼Ð¿ÑÐ»ÑÑÐ° ÑÐ¾ÐºÐ° Ð¾Ð±ÐµÑÐ¿ÐµÑÐ¸Ð²Ð°ÑÑÐµÐ³Ð¾ Ð½Ð°Ð¸Ð±Ð¾Ð»ÐµÐµ Ð³Ð»ÑÐ±Ð¾ÐºÐ¾Ðµ Ð¾ÑÐ»Ð°Ð¶Ð´ÐµÐ½Ð¸Ðµ. Ð ÑÐ¾Ð´Ðµ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ»Ð¸ ÑÐµÑÐµÐ½Ñ ÑÐ»ÐµÐ´ÑÑÑÐ¸Ðµ Ð·Ð°Ð´Ð°ÑÐ¸: 1. ÐÐ¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð¾Ð±ÑÐµÐ¹ Ð·Ð°Ð´Ð°ÑÐ¸ Ð½ÐµÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð³Ð¾ Ð¾ÑÐ»Ð°Ð¶Ð´ÐµÐ½Ð¸Ñ Ð² ÑÐµÑÐ¼Ð¾ÑÐ»ÐµÐ¼ÐµÐ½ÑÐµ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ Ð¿Ð°ÐºÐµÑÐ° ANSYS; 2. ÐÐ¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð¼Ð¾Ð´ÐµÑÐ½Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ Ð·Ð°Ð´Ð°ÑÐ¸ Ð½ÐµÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð³Ð¾ Ð¾ÑÐ»Ð°Ð¶Ð´ÐµÐ½Ð¸Ñ, Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¿Ð°ÐºÐµÑÐ° Ð¿ÑÐ¸ÐºÐ»Ð°Ð´Ð½ÑÑ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼ MATHEMATICA, MATLAB; 3. ÐÐ¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð¼Ð¾Ð´ÐµÑÐ½Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ Ð·Ð°Ð´Ð°ÑÐ¸ Ð½ÐµÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð³Ð¾ Ð¾ÑÐ»Ð°Ð¶Ð´ÐµÐ½Ð¸Ñ Ð² ÑÐµÑÐ¼Ð¾ÑÐ»ÐµÐ¼ÐµÐ½ÑÐµ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ Ð¿Ð°ÐºÐµÑÐ° ANSYS; 4. Ð ÐµÑÐµÐ½Ð¸Ðµ Ð·Ð°Ð´Ð°ÑÐ¸ Ð¾ Ð¿Ð¾Ð¸ÑÐºÐµ Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÐ¾ÐºÐ°.
description: This work is devoted to the study of the behavior of temperature during a non-stationary cooling process in a thermoelectric element. The purpose of this work was an analytical and numerical study of non-stationary processes in a thermoelectric element. In the course of the work, the following tasks were solved: 1. Construction of a numerical solution to the general problem of non-stationary cooling in a thermoelectric element using the ANSYS software package; 2. Construction of an analytical solution to the upgraded problem of non-stationary cooling, using the MATHEMATICA, MATLAB application software package; 3. Construction of a numerical solution to the upgraded problem of non-stationary cooling in a thermoelectric element using the ANSYS software package; 4. Solving the problem of finding the optimal current.