DOI: https://doi.org/10.26089/NumMet.v26r318

Scheme of solution of the heat and mass transfer problem in the hydration model of cement composite

Authors

  • Maria A. Dmitrieva
  • Vladimir N. Leitsin
  • Alina D. Kogai

Keywords:

computer modeling
cement hydration
composite material
two-temperature heat balance equations
heat transfer problem
phase transformations
filtration

Abstract

The paper presents a developed model of related physical and chemical processes in reacting medium, according to which a cement composite is considered as a heterogeneous mixture of reagents and filler with specified concentrations and porosity. Water filtration due to capillary and thermocapillary forces ensures convective heat and mass transfer. The heat and mass transfer problem is presented as a two-temperature non-stationary nonlinear boundary value problem of heat conductivity of the frame and liquid phase with heat sources of chemical nature and sinks caused by water evaporation. Verification of the adequacy of the developed scheme for solving the boundary value problem of thermal conductivity is realized by solving a test one-dimensional problem with constant coefficients. The convergence of the problem solution scheme is confirmed in the process of modeling the hydration process of a cement composite at different steps in time and space.


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Published

2025-07-18

Issue

Vol. 26 (2025): Issue 3.

Section

Methods and algorithms of computational mathematics and their applications

Authors

Maria A. Dmitrieva

Immanuel Kant Baltic Federal University

• Professor

Vladimir N. Leitsin

Immanuel Kant Baltic Federal University

• Professor

Alina D. Kogai

Immanuel Kant Baltic Federal University

• Assistant

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