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  • 1
    Electronic Resource
    Electronic Resource
    Contact melting materials with non-linear properties (1997)
    Springer
    Heat and mass transfer 33 (1997), S. 185-192 
    Details
    ISSN: 1432-1181
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract The effects of nonlinear thermophysical properties on thermal and flow fields of the molten thin layer produced by contact melting are investigated. The molten layer is assumed to be a non-Newtonian fluid which has temperature-dependent viscosity and thermal conductivity. Heat transfer to solid and temperature field in solid with temperature-dependent conductivity are obtained. Choosing the heating surface of parabolic shape significantly reduce calculations, since closed-form solutions are obtained. Closed-form solutions for velocity, temperature, pressure, and thickness of the molten layer, and criterions to indicate the importance of taking into account the effects of nonlinear properties are provided.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002310050177
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Time-space method for multidimensional melting and freezing problems (1994)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 37 (1994), S. 1793-1805 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In this paper, the time-space method (TSM) for multidimensional melting and solidification problems is proposed. In the proposed TSM, the timewise co-ordinate is incorporated into one of the spatial co-ordinates, thereby transforming the usual transient 2-D (or 3-D) problems into steady 3D (or 4-D) boundary-value problems.Since time integration is not necessary, the TSM has a feature that eliminates the so-called numerical instability which has been a great concern in the principal numerical methodologies in the past. That is, no error propagation in the timewise direction occurs in the TSM calculation.The TSM is applicable to almost all transient heat transfer and flow problems. The computer running time will be reduced to only 1/100th-1/1000th of the existing schemes for 2-D or 3-D problems. The sample calculations are presented for a 2-D melting problem in a square cavity and the validity of the present method is examined.
    Additional Material: 8 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620371102
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    Paper (German National Licenses)
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