THEORETICAL MODELS OF SURFACE HEAT TREATMENT OF PRODUCTS 
IN SOLAR FURNACES. 2. NONUNIFORM RADIANT-ENERGY FLUX

B. A. Uryukov and V. V. Pasichnyi

UDC 662.997:666.642

The nonlinear and two-dimensional problem of heating of 
a plane plate in a solar furnace with a Gaussian distribution of the 
radiant heat flux over the surface has been reduced to the one-dimensional 
problem by introducing a nondifferentiable parameter dependent on 
the radial coordinate. Using the modified Goodman heat-balance integral 
method, we have obtained estimates of the minimum heat flux necessary 
for fusion of the surface of the plate and the limiting diameter of 
the melt hole. An example of calculating the dynamics of fusion of 
the surface of a ceramic plate is presented.

I. N. Frantsevich Institute of Problems of Materials Science, 
National Academy of Sciences of Ukraine, Kiev, Ukraine; email: pasich@ipms.kiev.ua. 
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 75, No. 6, pp. 
158-163, November-December, 2002. Original article submitted 
May 24, 2002.

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