Effect of radius on temperature history of transient industrial quenched chromium steel-8650H by developing 1-D MM

Abstract

Mathematical modelling of axisymmetric transient industrial quenched chromium steel bar AISI-SAE 8650H, 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 8650H 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 2-D mathematical modeling to determine LHP to protect the industrial transient heat treatment quenched low carbon steels bar

“…The Green's theorem is used to re-write area integrals in terms of line integral around the element boundary [29][30][31][32][33][34][35]. This theorem is applied to Eq.…”

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

“…Three dimensional heat transfers can be analyzed using one dimensional axisymmetric element as shown in Fig. 1, Fig 2 and Fig 3 [1,[36][37][38][39][40][41][42]. The finite element method is applied to the one-dimensional cylindrical coordinates heat transfer problem.…”

Computer Simulation to Determine LHP of 4 Different Types of Transient Industrial Quenched Molybdenum Steel Bars

“…Analysis heat transfer of a 3dimensional model could be simplified to a 2-dimensional axisymmetric analysis to reduce cost and computing time limit [2], [4], [5], [12], [17]. This is possible in axisymmetric analysis, because no temperature variation in direction of theta (Ɵ), the deviations of temperature only in the directions of (r) and (z) [1], [4], [5], [18]- [20].…”