Development of Instant Interface Temperature at Time τ?=?0+ of Low Melting Temperature Cylindrical Solid Additive-Bath System

详细信息    查看全文

• 作者：Sanatan Prasad ; Anant Prasad ; Arbind Kumar
• 刊名：Metallurgical and Materials Transactions B
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：46
• 期：6
• 页码：2616-2627
• 全文大小：947 KB
• 参考文献：1.R. P. Singh, and A. Prasad: Ironmaking and Steelmaking, 2005, vol. 32, pp. 411-7.CrossRef
  2.Singh UC, Prasad A, Kumar A (2011) Metall. Mater. Trans. B 42B, pp. 800-6.CrossRef
  3.A. Prasad, and J. Nandi: Energy, 1992, vol. 17, pp. 413-7.CrossRef
  4.E.R.G. Eckert and R.M. Drake: Analysis of Heat and Mass Transfer, International Student Edition, McGraw-Hill Koga Kusha, Tokyo, Japan, 1972.
  5.H.S. Carslaw and J.C. Jaeger: Conduction of Heat in Solids, Clarendon Press, Oxford, 1959.
  6.M. Epstein: Nucl. Sci. Eng., 1973, vol. 51, pp. 84-7.
  7.M. Epstein, and G.M. Hauser: Nucl. Eng. Des., 1979, vol. 52, pp. 411-8.CrossRef
  8.A. Prasad, and S.P. Singh: Trans. ASME, 1994, Vol. 116, pp. 218-3.
  9.A. Prasad: J. Spacecraft Rockets, 1980, vol. 17, pp. 474-7.CrossRef
  10.A. Prasad and S. Prasad: Proceeding of International Symposium on Cold Region Heat Transfer, Sapporo, Japan, 1989, pp. 175-1.
  11.U. C. Singh, A. Prasad, and A. Kumar: J. Min. Metall. Sec. B, 2012, vol. 48B, pp. 11-23.CrossRef
  12.B.T.F. Chung, and L.T. Yeh: J. Spacecraft Rockets, 1975, vol. 12, pp. 329-0.CrossRef
  13.R. P. Singh, and A. Prasad: Math. Comput. Model., 2003, vol. 37, pp. 849-2.CrossRef
  14.A.S. Wood: Appl. Math. Modell. 2001, Vol. 25, pp. 815-4.CrossRef
  15.S.L. Michell, and T.G. Myes: SIAM Rev., 2010, Vol. 52, pp. 57-6.CrossRef
  
• 作者单位：Sanatan Prasad (1)
  Anant Prasad (2)
  Arbind Kumar (3)
  
  1. Mechanical Engineering Department, R.V.S. College of Engineering and Technology, Edalbera, Bhilaipahari, N.H.33, Jamshedpur, 831012, Jharkhand, India
  2. Mechanical Engineering Department, National Institute of Technology, Jamshedpur, 831014, India
  3. Mechanical Engineering Department, Birla Institute of Technology, Mesra, Ranchi, 835215, India
  
• 刊物类别：Chemistry and Materials Science
• 刊物主题：Chemistry
  Materials Science
  Manufacturing, Machines and Tools
  Metallic Materials
  Operating Procedures and Materials Treatment
  Characterization and Evaluation Materials
  Numerical and Computational Methods in Engineering
  
• 出版者：Springer Boston
• ISSN：1543-1916

文摘

A mathematical model in integral format is devised for the development of instant temperature at the interface between a low melting temperature solid cylindrical additive and the freezing layer of the bath material around the additive immediately after immersion of the additive in the bath. It indicates that this temperature is function of the phase change parameters, the Stefan number, S _ta of the additive, and S _tb of the bath material, the thermophysical property-ratio, γ and the melting temperature ratio, θ _ab of the additive-bath system and gives a close form expression for the instant interface temperature, θ _e. For given θ _ab < 1 and the Stefan number, S _ta, of the additive decreasing the Stefan number, S _tb of the bath material (?nbsp;?nbsp;S _tb ?nbsp;0) or increasing γ (0 ?nbsp;γ ?nbsp;? permits θ _e to increase from the initial temperature of the additive to the freezing temperature of the bath material. θ _e also gets increased by increasing any or both of S _tb and θ _ab. When the additive gets only heated after its immersion in the bath, the model of the present problem becomes exactly the same that was investigated recently validating the present problem. Manuscript submitted November 23, 2014.