Abstract

This paper presents results of research on unevenness of cylinder heating in a furnace for thermo-chemical treatment. Experimental research was conducted with respect to nitriding. Various heating speeds and settings of the fan operation in the furnace were considered. Boundary conditions were calculated in the form of temperature and the heat transfer coefficient (HTC) on the cylinder boundary in four planes along the cylinder length. Calculations were performed with the use of the inverse problem for non-linear and unsteady heat conduction equations. Boundary conditions from individual planes were compared with the mean value of them all. The variability of the calculated boundary conditions (temperature and HTC) along the cylinder length was investigated based on values of the absolute and relative differences for temperature and HTC. Estimates: mean value, mean value from the absolute value and the maximum values for the absolute and the relative differences of temperature and HTC were also calculated. Estimates were the measurements of the unevenness of cylinder heating in a furnace for thermo-chemical treatment. Based on the results of our research, it was found that an increase of the fan rotational speed from 50% to 100%, with the same heating speed, resulted in a significant leveling of temperature in the analyzed planes. The difference in temperature along the cylinder length was reduced from 6.8 °C to 3.3 °C. The increase of the heating speed from 5 °C/min to 10 °C/min resulted in an increase of the unevenness of the cylinder heating. Values of the absolute differences of temperature in the analyzed planes with reference to the mean temperature changed from an interval from −2.7 °C to 2.3 °C to a range from −4 °C to 5 °C. In processes with a heating speed greater than 5 °C/min, more intensive heating in the end part of the cylinder (close to the cylinder) was achieved than it was in other planes. It was proven by temperature values, which were higher, even, by 5.4 °C, and by HTC values, higher by 11.4 W/m2K, when compared with mean values. Obtained results can form the basis for nitriding process optimization.

Highlights

  • Many elements of machines are subject to thermo-chemical treatments such as nitriding or carburizing

  • Research enabled us to analyze the change in boundary conditions along the length of the cylinder being heated in the furnace for thermo-chemical treatment, which had not been included in the paper [24]

  • This paper presented research on changes in thermodynamic parameters in the chamber of a furnace for thermo-chemical treatment

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Summary

Introduction

Many elements of machines are subject to thermo-chemical treatments such as nitriding or carburizing. Determination of the boundary condition is possible based on temperature measurement inside the element and solving the inverse problem for the heat equation [1,2,3,4]. Thermo-physical properties of a material of substance such as thermal conductivity or specific heat are crucial for thermodynamic calculations The variability of these properties significantly affects the analysis of heat flow [19,22,23] including obtained boundary conditions and, HTC. Research enabled us to analyze the change in boundary conditions along the length of the cylinder being heated in the furnace for thermo-chemical treatment, which had not been included in the paper [24]. Quantitative knowledge on temperature and HTC differences occurring on the cylinder boundary is the basis for the analysis of the unevenness of load heating in furnaces for thermo-chemical treatment.

Working
Location
Parameters of heating
Calculation
Scheme of theofcalculation procedure for tk -th time
Analysis of Cylinder Heating
Conclusions
Methods
Findings
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