The work in this paper concerns the study of a one-phase moving boundary problem with
size-dependent thermal conductivity and moving phase change material. We have …

In heat transfer, the melting of a PCM is one of the most applicable processes in energy
storage systems. Obtaining a fast conversion rate from solids into liquids with minimum cost …

Abstract The Heat Balance Integral Method (HBIM) is generally applied to one-dimensional
Cartesian heat flow and Stefan problems. The main reason for this being that solutions in …

A new approach in the formulation of assumed profiles for integral-balance solutions has
been formulated. The main idea is based on the linear transmutation of basic parabolic …

An integral method related to approximate analytical methods of solution of the boundary-
value evolution-type problems by introducing the disturbance front is suggested. The …

A new integral method based on the system of identical equalities of 2 n-multiple integrals of
the desired temperature function and the corresponding boundary characteristics is …

Представлен новый интегральный метод, основанный на системе тождественных
равенств из 2n-кратных интегралов от искомой температурной функции и …

The heat balance integral (HBIM) and refined integral (RIM) methods and a novel hybrid
integral balance-collocation method have been used to obtain approximate analytical …

In this paper we describe an algorithm for solving the pure metals solidification problem by
involving the metal shrinkage and air-gap between material and mold. In this algorithm we …

The study on velocity and temperature distribution in fluid flows is important both for the
theory and practical applications. The design of efficient heat-exchange equipment, the …