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One-dimensional melting and freezing problem in a finite slab with time-dependent convective boundary condition is solved using the heat-balance integral method. The temperature, Tinf 1(t), is applied...
The integral solution of one-dimensional heat conduction in a semi-infinite wall with constant temperature at its surface has been reviewed and compared with the exact solution for three temperature p...
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...
In this paper we consider approximate travelling wave solutions to the Korteweg-de Vries equation. The heat-balance integral method is first applied to the problem, using two different quartic approxi...
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 paper describes and compares several effective methods for the numerical solution of one-dimensional Stefan problems. The intention is not to make an exhaustive review and so we restrict our atte...
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...
This paper presents research on CO2 capture by lime-based looping cycles. This is a new and promising technology that may help in mitigation of global warming and climate change caused primarily by th...
This paper deals with the transient thermal analysis of carbon nanotube composites via meshless element free Galerkin method. A three-dimensional representative volume element containing single nanotu...
Combined cycle power plants play an important role in the present energy sector. The main challenge in designing a combined cycle power plant is proper utilization of gas turbine exhaust heat in the s...
The transient response of erodable surface thermocouples has been numerically assessed by using a two dimensional finite element analysis. Four types of base metal erodable surface thermocouples have ...
Performance-based design for passive building fire safety provisions is accepted by the authority in Hong Kong since 1998. This is also known as the "fire engineering approach", though the performance...
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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