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The heat-balance integral method is used to solve the non-linear heat diffusion equation in static turbulent superfluid helium (He II). Although this is an approximate method, it has proven that it gi...
This paper discusses the application of heat-balance integral method for solving the conduction equation in a variety of rewetting problems. A host of rewetting problems for various geometry, convecti...
Since the pioneering studies of Goodman on the application of the integral method to transient non-linear heat diffusion, much attention has been devoted nowadays to what is called heat balance integr...
Conjugate thermal explosion is an extension of the classical theory, proposed and studied recently by the author. The paper reports application of heat-balance integral method for developing phase por...
This article reconsiders aspects of the analysis conventionally used to establish accuracy, performance and limitations of the heat balance integral method: theoretical and practical rates of converge...
Stefan problems relevant to burning oil-water systems are formulated. Two moving boundary sub-problems are defined: burning liquid surface and formation of a distillation ("hot zone") layer beneath it...

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