title: ÐÐ½Ð´ÑÐºÑÐ¸Ð¾Ð½Ð½Ð°Ñ Ð·Ð°ÐºÐ°Ð»ÐºÐ° ÑÑÐ°Ð»ÑÐ½ÑÑ Ð±ÑÑÐ¸Ð»ÑÐ½ÑÑ ÑÑÑÐ± Ð´Ð¸Ð°Ð¼ÐµÑÑÐ¾Ð¼ 60,3 Ð¼Ð¼ Ð´Ð»Ñ ÐºÐ¾Ð»Ð¾Ð½ÐºÐ¾Ð²Ð¾Ð³Ð¾ Ð±ÑÑÐµÐ½Ð¸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: Induction hardening of steel drill pipes with a diameter of 60.3 mm for core drilling
Creators: name: ÐÑÐµÐ½ÐºÐ¾Ð², ÐÐ»ÐµÐºÑÐ°Ð½Ð´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: 2020
Subjects: Ð¸Ð½Ð´ÑÐºÑÐ¸Ð¾Ð½Ð½ÑÐ¹ Ð½Ð°Ð³ÑÐµÐ²
Ð¸Ð½Ð´ÑÐºÑÐ¸Ð¾Ð½Ð½Ð°Ñ Ð·Ð°ÐºÐ°Ð»ÐºÐ°
Ð¿Ð¾Ð²ÐµÑÑ Ð½Ð¾ÑÑÐ½Ð°Ñ
Ð·Ð°ÐºÐ°Ð»ÐºÐ°
Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ðµ Ð¿Ð¾Ð»Ðµ
ÑÐµÐ¿Ð»Ð¾Ð²Ð¾Ðµ Ð¿Ð¾Ð»Ðµ
ÑÐµÐ¿Ð»Ð¾Ð²Ð¾Ðµ
Ð¸Ð·Ð»ÑÑÐµÐ½Ð¸Ðµ
COMSOL Multiphysics
induction heating
induction hardening
surface hardening
mathematical modeling
electromagnetic field
thermal field
thermal radiation

description: Ð¦ÐµÐ»Ñ ÑÐ°Ð±Ð¾ÑÑ: Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ, Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¸ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° ÑÐµÑÐ½Ð¾Ð»Ð¾Ð³Ð¸Ð¸ Ð¸Ð½Ð´ÑÐºÑÐ¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ Ð½Ð°Ð³ÑÐµÐ²Ð° ÑÑÐ°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¸Ð·Ð´ÐµÐ»Ð¸Ñ Ð¿Ð¾Ð´ Ð·Ð°ÐºÐ°Ð»ÐºÑ. ÐÐºÑÑÐ°Ð»ÑÐ½Ð¾ÑÑÑ: ÑÐ¾ÑÑÐ¸Ð¹ÑÐºÐ°Ñ Ð½ÐµÑÑÐµÐ³Ð°Ð·Ð¾Ð²Ð°Ñ Ð¿ÑÐ¾Ð¼ÑÑÐ»ÐµÐ½Ð½Ð¾ÑÑÑ Ð½ÑÐ¶Ð´Ð°ÐµÑÑÑ Ð² Ð¼Ð°ÑÑÑÐ°Ð±Ð½Ð¾Ð¼ Ð¾Ð±Ð½Ð¾Ð²Ð»ÐµÐ½Ð¸Ð¸, ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ ÑÐ¾Ð²ÑÐµÐ¼ÐµÐ½Ð½ÑÑ ÑÐµÑÐµÐ½Ð¸Ð¹ Ð¸ ÑÐ»ÑÑÑÐµÐ½Ð¸Ð¸ ÑÐ¶Ðµ Ð¸Ð¼ÐµÑÑÐ¸ÑÑÑ Ð¿ÑÐ¾Ð´ÑÐºÑÐ¾Ð², ÑÑÐ¾Ð±Ñ Ð´Ð¾Ð±Ð¸ÑÑÑÑ Ð²ÑÑÐ¾ÐºÐ¾Ð³Ð¾ ÑÑÐ¾Ð²Ð½Ñ Ð¸Ð¼Ð¿Ð¾ÑÑÐ¾Ð½ÐµÐ·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸, Ð° ÑÐ°ÐºÐ¶Ðµ Ð´Ð»Ñ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ¸ Ð½Ð¾Ð²ÐµÐ¹ÑÐ¸Ñ Ð¼ÐµÑÑÐ¾ÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ð¹ Ð¸ Ð¾Ð±Ð½Ð¾Ð²Ð»ÐµÐ½Ð¸Ñ ÑÐ¶Ðµ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÐµÐ¼ÑÑ. ÐÑÐ½Ð¾Ð²Ð½ÑÐµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ: ÑÐ¾Ð·Ð´Ð°Ð½Ð° Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÐ»ÐµÐºÑÑÐ¾Ð¼Ð°Ð³Ð½Ð¸ÑÐ½ÑÑ Ð¸ ÑÐµÐ¿Ð»Ð¾Ð²ÑÑ Ð¿ÑÐ¾ÑÐµÑÑÐ¾Ð² Ð½Ð° Ð±Ð°Ð·Ðµ Ð¿Ð°ÐºÐµÑÐ° COMSOL Multiphysics, Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÑÑÐ°Ñ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸ÑÑ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð¸ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¿ÑÐ¾ÑÐµÑÑÐ° Ð¸Ð½Ð´ÑÐºÑÐ¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ Ð½Ð°Ð³ÑÐµÐ²Ð° ÑÑÐ°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¸Ð·Ð´ÐµÐ»Ð¸Ñ Ð¿Ð¾Ð´ Ð·Ð°ÐºÐ°Ð»ÐºÑ ÑÑÐ°Ð»ÑÐ½ÑÑ Ð±ÑÑÐ¸Ð»ÑÐ½ÑÑ ÑÑÑÐ± 60,3 Ð¼Ð¼. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¸ Ð¿Ð¾Ð»ÑÑÐµÐ½Ñ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¼Ð°Ð³Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ Ð¸ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ Ð² ÑÐ°ÑÑÐµÑÐ½Ð¾Ð¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸ Ð² ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÐµ Ð¼Ð¾Ð¼ÐµÐ½ÑÑ Ð²ÑÐµÐ¼ÐµÐ½Ð¸, Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ ÑÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÐ¸Ðµ ÑÐ°ÑÑÐµÑÑ, ÑÐ°ÐºÐ¸Ðµ ÐºÐ°Ðº Ð²ÑÐ±Ð¾Ñ ÑÐ°Ð±Ð¾ÑÐµÐ¹ ÑÐ°ÑÑÐ¾ÑÑ Ð¸Ð½Ð´ÑÐºÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ Ð·Ð°ÐºÐ°Ð»ÐºÐ¸; ÑÐµÐ¿Ð»Ð¾Ð²Ð¾Ð¹ ÑÐ°ÑÑÐµÑ Ð±ÑÑÐ¸Ð»ÑÐ½Ð¾Ð¹ ÑÑÑÐ±Ñ Ð¿Ð¾Ð´ Ð·Ð°ÐºÐ°Ð»ÐºÑ, ÑÐ»ÐµÐºÑÑÐ¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ°ÑÑÐµÑ Ð¸Ð½Ð´ÑÐºÑÐ¾ÑÐ°. ÐÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð², Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¸Ð¼ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼, Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ°Ð¼Ð¸ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ.
description: Work purpose: modeling, investigation and optimization of induction measurement of steel products for quenching. Relevance: the Russian oil industry needs a large-scale upgrade, development of modern solutions and improvement of existing products in order to achieve a high level of import independence, as well as to develop the latest fields and upgrade existing ones. Main results: the mathematical model of electromagnetic and thermal processes was created on the basis of the COMSOL Multiphysics package, which allows for numerical modeling and research of the induction heating process of a steel product for hardening 60.3 mm steel drill pipes. Studies were carried out and the distribution of the magnetic field and temperature in the computational domain at various points in time was obtained, theoretical calculations were carried out, such as the choice of the working frequency of induction hardening; thermal calculation of the drill pipe for hardening, electrical calculation of the inductor. The results obtained by the analytical method are compared with the results of numerical simulation.