Simulation modeling and optimization of bitumen –palm kernel oil blend for austempering of cast iron and steel

OC Okwonna
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Abstract

The study combines both simulation modeling and optimization of bitumen-palm kernel oil blend for austempering of cast iron and steel. Two independent factors namely austenitizing temperature (A) and holding time (H) were evaluated while five responses which includes ultimate tensile strength (u.t.s), hardness (h), impact strength (i), percentage elongation (e), percentage reduction in area (r.i.a) were evaluated. 3-D response surface and 2-D contour plots through response surface methods were used to estimate multi-response mathematical models. Desirability function approach provided by MINITAB 18 was used to determine the optimal settings of the response and factors after adequacy of the models to approximate the measured data had been established at 0.10 confidence level. From the result, optimum conditions for austenitizing temperature was 916.50C and 5 min while the predicted values of quenching hardness, ultimate tensile strength, impact strength, %elongation, %reduction in area were 1327.29MPa, 29.36J, 72.77%, 86.79% and 175.59HRC for 0.56%C-Steel; 1407.97MPa, 20.04J, 50.80%, 49.17% and 196.13 for 0.76%C-Steel; 1235.01MPa, 32.42J, 60.39%, 55.99% and 234.99HRC for ductile cast iron. Great improvement was seen in the steel performance after austempering process which gave rise to the conclusion that as the austempering time and holding time increases, that the mechanical properties of the steel were affected. Quenching of 0.56%C, 0.76%C-steel and ductile cast iron at the optimal settings using B-PKO saved one thousand naira (₦1000.00) showing 28.57% profit. The developed empirical models are recommended in some of the automobile and engineering industries during heat treatment operations so as to save time and energy.
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用于铸铁和钢等温回火的沥青-棕榈仁油混合料的仿真建模与优化
本研究将沥青-棕榈仁油共混等温回火铸铁和钢的模拟建模与优化相结合。评估了两个独立的因素,即奥氏体化温度(A)和保温时间(H),同时评估了五个响应,包括极限抗拉强度(u.t.s)、硬度(H)、冲击强度(i)、伸长率(e)、面积收缩率(r.i.a)。采用响应面法绘制三维响应面和二维等高线图,估计多响应数学模型。采用MINITAB 18提供的可取性函数法,在0.10置信水平上建立模型以近似测量数据的充分性后,确定响应和因素的最佳设置。结果表明,0.56% c钢的最佳奥氏体化温度为916.50℃和5min,淬火硬度、极限抗拉强度、冲击强度、伸长率和收缩率预测值分别为1327.29MPa、29.36J、72.77%、86.79%和175.59HRC;1407.97MPa、20.04J、50.80%、49.17%、196.13为0.76% c钢;球墨铸铁:1235.01MPa, 32.42J, 60.39%, 55.99%, 234.99HRC。经等温回火处理后,钢的性能有较大的改善,因此,随着等温回火时间和保温时间的延长,钢的力学性能受到影响。采用B-PKO淬火0.56%C、0.76% c钢和球墨铸铁,在最佳设置下可节省1000奈拉(奈拉1000.00),利润28.57%。为节省时间和能源,将所建立的经验模型推荐给一些汽车和工程行业的热处理操作。
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