Affiliation:
1. Engineering Division, Tata Steel Limited, Jamshedpur, India
2. Department of Mechanical Engineering, National Institute of Technology, Jamshedpur, India
3. Department of Mechanical Engineering, Birla institute of Technology, Mesra Ranchi, India
Abstract
In melting and assimilation of a cylindrical shaped additive in an agitated
hot melt bath during the process of preparation of cast iron and steel of
different grades, an unavoidable step of transient conjugated
conduction-controlled axisymmetric freezing and melting of the bath material
onto the additive immediately after its dunking in bath occurs. Decreasing
the time of completion of this step is of great significance for production
cost reduction and increasing the productivity of such preparations. Its
suitable mathematical model of lump-integral type is developed. Its
nondimensional format indicates the dependence of this step upon independent
nondimensional parameters- the bath temperature, ?b the modified Biot number,
Bim denoting the bath agitation, the property-ratio, B and the heat
capacity-ratio, Cr of the melt bath-additive system, the Stefan number, St
pertaining to the phase-change of the bath material. The model provides the
closed-form expressions for both the growth of the frozen layer thickness, ?
onto the additive and the heat penetration depth, ? in the additive. Both are
functions of these parameters, but when they are transformed to the growth of
the frozen layer thickness with respect to the heat capacity ratio per unit
Stefan number; and the time per unit property-ratio, B, their expressions
become only a function of single parameter, the conduction factor, Cof
consisting of the parameters, B, Bim and ?b. The closed-form expression for
the growth of the maximum thickness of the frozen layer, its time of growth,
the time of the freezing and melting; the heat penetration depth are also
derived. When the heat penetration depth approaches the central axis of the
cylindrical additive in case of the complete melting of the frozen layer
developed Cof?11/72. It is found that the decreasing Cof reduces both the
time of this unavoidable step and the growth of the maximum frozen layer
thickness and at Cof=0, the frozen layer does not form leading to zero time
for this step. If the bath is kept at the freezing temperature of the bath
material, only freezing occurs. To validate the model, it is cast to resemble
the freezing and melting of the bath material onto the plate shaped additive.
The results are exactly the same as those of the plate.
Publisher
National Library of Serbia
Subject
Materials Chemistry,Metals and Alloys,Mechanics of Materials,Geotechnical Engineering and Engineering Geology
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献