THERMAL SCIENCE
International Scientific Journal
THE HEAT RADIATION DIFFUSION EQUATION: EXPLICIT ANALYTICAL SOLUTIONS BY IMPROVED INTEGRAL-BALANCE METHOD
ABSTRACT
Approximate explicit analytical solutions of the heat radiation diffusion equation by applying the double integration technique of the integral-balance method have been developed. The method allows approximate closed form solutions to be developed. A problem with a step change of the surface temperature and two problems with time dependent boundary conditions have been solved. The error minimization of the approximate solutions has been developed straightforwardly by minimization of the residual function of the governing equation.
PAPER SUBMITTED: 2017-10-11
PAPER REVISED: 2017-11-13
PAPER ACCEPTED: 2017-11-13
PUBLISHED ONLINE: 2018-01-07
THERMAL SCIENCE YEAR
2018, VOLUME
22, ISSUE
Issue 2, PAGES [777 - 788]
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