Developing 1-D MM of Transient Industrial Quenched Chromium Steel-5147H to Study the Effect of Radius on Temperature History

Abstract

Mathematical modeling of an axisymmetric transient industrial quenched chromium steel bar AISI-SAE 5147H, water cooled based on finite element method has been produced to investigate the impact of process history on metallurgical and material properties. Mathematical modelling of 1-D line (radius) element axisymmetric model has been adopted to predict temperature history of the quenched chromium steel bar at any point (node). The temperature history of four different radii cylindrical geometry chromium steel 5147H is determined. The temperature history needs to be properly understood in order to efficiently produce high quality components. The model can be employed as a guideline to design cooling approach to achieve desired microstructure and mechanical properties such as hardness. The developed mathematical model converted to a computer program. This program can be used independently or incorporated into a temperature history calculator to continuously calculate and display temperature history of the industrial quenched chromium steel bar and thereby calculate the mechanical properties. The developed program from the mathematical model has been verified and validated by comparing its temperature simulation results with commercial finite element software results. The comparison indicates reliability of the proposed model.

A Novel (1-D) Mathematical Modeling to Determine (E-LHP) of Industrial Transient Heat Transfer Quenched Chromium Steel 5147H, Sea Water Cooled

“…Two point recurrence formulas will allow us to compute the nodal temperatures as a function of time. In this paper, Euler's method which is known as the backward difference scheme (FDS) will be used to determine the rate of change in temperature, the temperature history at any point (node) of the steel bar [5,[14][15][16][17].…”

A novel 2-D mathematical modeling to determine LHP to protect the industrial transient heat treatment quenched low carbon steels bar

“…In this work, Euler's approach, also known as the backward difference schemes (BDS), will be used to calculate the rate of change of temperature, as well as the temperature history at every point (node) on a steel bar. [35][36][37][38][39][40][41].…”