Abstract

This paper deals with the issues relevant for precise finite element method (FEM) modeling of thin molybdenum plates’ induction heating. The proposed methodology describes the step-by-step Multiphysics (electro-thermal) design approach, verified by the experimental measurements. Initially, it was observed that the relative error between model and experimental set-up is within the 1.2% up to 2.5% depending on the location of the measuring points. Further research was focused on the enhancement of the simulation model in the form of its parametrization. It means that it is easy to define the induction coil’s operational parameters and geometrical properties (ferrite shape, operating frequency, the distance between plate and heating element, the value of coil current, etc.). The target of this approach is to be able to determine the optimal operational settings targeting the required heating performance of thin molybdenum plates. One of the main requirements regarding the optimal heating process is temperature distribution within the molybdenum plate’s surface. The proposed model makes it possible to obtain information on optimal operational conditions based on the received results.

Highlights

  • Sapphire single crystals are widely used, especially in laser devices

  • The proposed model makes it possible to obtain information on optimal operational conditions based on the received results

  • The shape and dimensions of the crystals currently identified meet the requirements for hand-manual production and, automatic production in the complex mechatronic deformation systems with local resistance heating or induction heating of thin molybdenum sheets

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Summary

Introduction

Sapphire single crystals are widely used, especially in laser devices. Sapphire is an ideal material for producing so-called structures of silicon on single sapphire crystals.Production of single-crystal sapphire is possible by several vertical technologies such as single crystal growth using Czochralski, Verneuill, or Stepanov methods. The horizontal method for the growth of the single crystal has an enormous advantage compared to the vertical progression with a precisely pre-given orientation of the crystal’s optical axis to the surface of the growing crystal [1,2,3]. These processes are carried out under a high vacuum and temperature up to 2150 ◦ C. Container-vesselscrystallization “boats” are made of molybdenum sheets having a thickness of 0.5 mm, made by powder metallurgy technology, i.e., plastic deformation sintering procedure. The shape and dimensions of the crystals currently identified meet the requirements for hand-manual production and, automatic production in the complex mechatronic deformation systems with local resistance heating or induction heating of thin molybdenum sheets

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