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On the nature of the thermal response behaviour of metallic moulds-characterisation of the transient temperature field

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Abstract

The thermal response behaviour of the metallic mould is of fundamental and paramount importance in controlling the rate of solidification of castings as well as their mechanical and technological properties. This problem is, therefore, addressed in the present paper in order to gain an insight into the mechanism of heat transfer through the mould wall and to provide the designer with some basic information. In order to reveal the nature of the time variation of the temperature field within the mould wall, the analysis is confined to the case of undimensional heat flow under transient condition. This has been accomplished by applying the finite element method in a dimensionless form. Conclusions regarding the individual and combined effects of various governing variables on the thermal process have been drawn. Depending on the combination of the principal variables, the results indicated that there are four fundamental patterns for the transient temperature field. Experimental data regarding the time variation of the temperature at the mould inner surface is presented in some analytical form. Using this data, the application of Duhamel's integral to predict the temperature field under transient boundary condition is demonstrated.

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References

  1. J. J. Berry and R. D. Pehlke, ‘Computer-Aided Design for Castings’,Trans. American Foundrymen's Society,92, 1984, pp. 101–108.

    Google Scholar 

  2. Y. Ohtsuka, K. Mizuno and J. Yamada, ‘Applications of a Computer Simulation System to Aluminium Permanent Mould Casting’,Trans. American Foundrymen's Society,90, 1982, pp. 635–646.

    Google Scholar 

  3. R. D. Pehlke, P. K. Trojan, R. A. Flinn, B. P. Winter and M. C. Sutton, ‘Thermal Gradient, Volumetric Shrinkage and Mould Wall Movement in Pure Aluminium and 356 Alloy’, 48th International Foundry Congress, Chicago, April 1982.

  4. J. W. Grant, ‘Modelling of Casting and Welding Processes’,Proc. Symposium on Modelling of Casting and Welding Processes, Ed. H. D. Brody and D. Apeliam, published by Metall. Soc. of AIME, New Hampshire, 3–8 August 1980.

    Google Scholar 

  5. I. Ohnaka, T. Fukusako and K. E. Honer, ‘Surface Quality of Columnar Aluminium Ingots Cast in Metal Mold’,J. Jpn. Inst. Light Metals,28 (1), January 1978.

  6. J. F. Wallace, ‘Thermal Conditions in the Die’,Foundry, October 1968.

  7. G. K. Ruhlandt, ‘Thermal Analysis of Die Casting Dies’,Modern Castings, August 1967.

  8. C. C. Reynolds, ‘Thermal Behaviour of Dies and Permanent Moulds’,Modern Castings, June 1964.

  9. K. Ho and R. D. Pehlke, ‘Metal-Mould Interfacial Heat Transfer’,Metallurgical Transactions B,16B, Sept. 1985, pp. 585–594.

    Google Scholar 

  10. X. C. Zeng and R. D. Pehlke, ‘Numerical Simulation of Solidification for a Copper-Base Alloy Casting’,Trans. American Foundrymen's Society,92, 1984, pp. 479–488.

    Google Scholar 

  11. R. A. Krivanek and C. E. Mobley, ‘A Computer Model for the Solidification of Cast Iron Chill Tests’,Trans. American Foundrymen's Society,92, 1984, pp. 311–317.

    Google Scholar 

  12. R. D. Doherty, P. D. Cooper, M. H. Bradbury and F. J. Honey, ‘On the Columnar to Equiaxed Transition in Small Ingots’,Metallurgical Transactions A,8A, March 1977, pp. 397–402.

    Google Scholar 

  13. L. J. D. Sully, ‘The Thermal Interface Between Castings and Chill Moulds’,Trans. American Foundrymen's Society,84, 1976, pp. 735–744.

    Google Scholar 

  14. D. R. Durham and J. T. Berry, ‘Role of the Mould-Metal Interface During Solidification of a Pure Metal Against a Chill’,Trans. American Foundrymen's Society,82, 1974, pp. 101–110.

    Google Scholar 

  15. K. Ho and R. D. Pehlke, ‘Transient Methods for Determination of Metal-Mould Interfacial Heat Transfer’,Trans. American Foundrymen's Society,91, 1983, pp. 689–698.

    Google Scholar 

  16. J. Majumdar, S. Dasgupta and B. C. Raychaudhuri, ‘An Experimental Method for Measuring Mould/Metal Gap Variation with Time in a Metal Casting Process’,J. Physics D: Appl. Physics,10, 1977, pp. 1175–1179.

    Article  Google Scholar 

  17. J. Majumdar, B. C. Raychaudhuri and S. Dasgupta, ‘An Instrumentation Scheme for Multipoint Measurement of Mould-Metal Gap in an Ingot Casting System’,Int. J. Heat Mass Transfer,24 (7), 1981, pp. 1089–1095.

    Article  Google Scholar 

  18. S. A. Anderson, L. A. Hale, H. H. Hunt and P. E. Pulley, ‘A Technique for Determining the Transient Heat Flux at the Solid Interface Using the Measured Transient Interfacial Temperature’,ASME Trans. J. Heat Transfer, Nov. 1973, pp. 492–497.

  19. P. V. Desai, J. T. Berry and C. Kim, ‘Computer Simulation of Forced and Natural Convection During Filling of a Casting’,Trans. American Foundrymen's Society,92, 1984, pp. 519–528.

    Google Scholar 

  20. K. Ho and R. D. Pehlke, ‘Mechanisms of Heat Transfer at a Metal-Mould Interface’,Trans. American Foundrymen's Society,92, 1984, pp. 587–598.

    Google Scholar 

  21. P. N. Hansen and J. T. Berry, ‘The Simulation of Heat Transfer in Castings and Weldments—Some Thoughts of Needed Research’,Proc. Symposium on Modelling of Casting and Welding Process, ed. H. D. Brody and D. Apelian and published by Metall. Soc of AIME, New Hampshire, August 1980, pp. 497–501.

    Google Scholar 

  22. E. F. Adiutoir, ‘The New Heat Transfer’,1, The Ventuno Press, Cincinatti, Ohio, 1974.

    Google Scholar 

  23. M. O. M. Osman and M. H. Attia, ‘On the Nature of the Thermal Response Behaviour of Metallic Moulds-Mould Cooling Capacity’, to be published.

  24. C. W. Nelson, ‘A Study of Die Casting Water Line Variables’, 5th Int. Die Casting Congress, Detroit, Michigan, T.P., No. 53, November 1968.

  25. C. W. Nelson, ‘Nature of Heat Transfer at the Die Face’, 6th Int. Die Casting Congress, Cleveland, Ohio, T.P., No. 63, November 1970.

  26. G. Fodor, ‘Laplace Transforms in Engineering’, Publishing House of the Hungarian Academy of Sciences, Budapest, 1965.

    MATH  Google Scholar 

  27. A. V. Luikov,Analytical Heat Diffusion Theory, Academic Press, N. Y., 1968.

    Google Scholar 

  28. G. E. Myers,Analytical Methods in Conduction Heat Transfer, McGraw-Hill Book Co., N. Y., 1971.

    Google Scholar 

  29. A. Schank,Industrial Heat Transfer, Chapman and Hall Ltd., London, 1965.

    Google Scholar 

  30. V. Isachenko, V. Osipova and A. Sukomel,Heat Transfer, Mir Publishers, Moscow, 1969.

    Google Scholar 

  31. N. Seshadri, K. V. Prabhakar, M. N. Srinivasam and M. R. Seshardi, ‘Studies of Solidification of Al−Cu Castings in Coated Dies and Thermal Behaviour of the Dies’,Trans. American Foundrymen's Society,82, 1974, pp. 387–390.

    Google Scholar 

  32. C. W. Nelson, ‘Aluminium Versus Magnesium—A Casting Rate Study’,Die Casting Engineer, July–August 1970, pp. 12–24.

  33. A. J. Chapman,Heat Transfer, 2nd Edition, McMillan Co., N.Y. 1969.

    Google Scholar 

  34. B. S. Baclic, ‘Optimal Reference Temperature for Thermophysical Properties in Transient Nonlinear Heat Conduction Problems’,Proc. Sixth Int. Heat Transfer Conference, Toronto, Canada, August 1978,3, pp. 269–274.

  35. H. S. Carslaw and J. C. Jaeger,Conduction of Heat in Solids, 2nd Edition, Oxford University Press, N.J., 1959.

    Google Scholar 

  36. M. Dixmier, ‘Linearization of Sparrow and Koopman's Method for Heat Transfer with Variable Conductivity,’Nucl. Sci. Engng.,48, 1972, pp. 121–122.

    Google Scholar 

  37. V. V. Salmatov, ‘An Approximate Method for Calculating Nonlinear Heat Conduction Problems’,Heat Transfer-Soviet Research,4(2), 1972, pp. 41–49.

    Google Scholar 

  38. B. Vujanovic, ‘Application of the Optimal Linearization Method to the Heat Transfer Problems’,Int. J. Heat Mass Transfer,16, 1973, pp. 1111–1117.

    Article  Google Scholar 

  39. A. V. Luikov, ‘Methods of Solving the Nonlinear Equations of Unsteady-State Heat Conduction’,Heat Transfer-Soviet Research,3 (3), 1971, pp. 1–51.

    Google Scholar 

  40. G. E. Myers, ‘The Critical Time Step for Finite Element Solutions to Two-Dimensional Heat Conduction Transients’,Trans. ASME, T. Heat Transfer,100, 1978, pp. 120–127.

    Google Scholar 

  41. H. F. Bishop and W. S. Pellini, ‘Solidification of Metals’,Foundry,80, 1952.

  42. W. M. Rohsenow and J. P. Harnett,Handbook of Heat Transfers, McGraw-Hill Inc., N.Y., 1973, pp. 3–60.

    Google Scholar 

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Authors and Affiliations

  1. Tribology and Mechanical Processes Unit, Ontario Hydro Research, Toronto, Ontario, Canada

    M. H. Attia

  2. Mechanical Engineering Department, Concordia University, Montreal, Quebec, Canada

    M. O. M. Osman

Authors
  1. M. H. Attia
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  2. M. O. M. Osman
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Attia, M.H., Osman, M.O.M. On the nature of the thermal response behaviour of metallic moulds-characterisation of the transient temperature field. Int J Adv Manuf Technol 2, 39–58 (1987). https://doi.org/10.1007/BF02601468

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