Thermod7: A general two-dimensional numerical modeling program for heat conduction and advection, with special application to faults

For concrete structure lack of enough durability due to corrosion by chloride ion under chlorine salt environment, and based on the Fick’s Diffusion Law, a mathematical model for concrete corroded by chloride ion diffusion is established and studied. Based on Galerkin FEM with weighted residuals, numerically discrete analysis of the models and final finite-difference-discrete format about time are obtained. Comparisons of PDE models between traditional heat conduction and chloride ion diffusion have been done. According to different parameters and APDL in ANSYS, a program for transformation of parameters including initial and boundary conditions is designed, so as to solve modeling by resolving module of heat conduction in ANSYS. A two-dimensional example from references, namely a concrete plate corroded by chloride ion under chlorine salt environment, is analyzed. All the results show the investigation is reliable and feasible for the research of durability of concrete structure under corrosion environment.

Download Full-text

Steady state two-dimensional heat conduction in a square cross section, by using Microsoft Excel® for numerical modeling

Revista Romana de Inginerie Civila/Romanian Journal of Civil Engineering ◽

10.37789/rjce.2022.13.1.2 ◽

2021 ◽

Vol 13 (1) ◽

pp. 10-25

Author(s):

Gelu-Adrian CHISĂLIŢĂ ◽

◽

Peter KAPALO ◽

Keyword(s):

Numerical Modeling ◽

Heat Conduction ◽

Steady State ◽

Cross Section ◽

Two Dimensional ◽

Microsoft Excel

Download Full-text

Modeling of Two-Dimensional Orthotropic Heat Conduction in Porous Gypsum

Materials Science Forum ◽

10.4028/www.scientific.net/msf.820.520 ◽

2015 ◽

Vol 820 ◽

pp. 520-525

Author(s):

Carlos R.N. Souza ◽

José P. Alencar ◽

Alan Christie Silva Dantas ◽

Andrea V. Ferraz ◽

Nelson C. Olivier

Keyword(s):

Thermal Conductivity ◽

Numerical Modeling ◽

Heat Conduction ◽

Steady State ◽

Heat Flow ◽

Computer Simulations ◽

Temperature Profiles ◽

Two Dimensional ◽

Hot Plate ◽

Plate Method

The gypsum is a versatile material that shows low thermal conductivity, which makes this material very suitable for application as thermal insulation. The increase of the porosity of gypsum bodies promotes a decrease on the thermal conductivity. This effect optimize the range of applications of gypsum on the thermal insulate field. The present study aimed the numerical modeling of two-dimensional heat conduction by finite differences in a steady state to evaluate the ortotrophy of the thermal conductivity of porous gypsum using the elements of the protected hot plate method. Computer simulations were performed using thermal conductivity of the gypsum equal to 0.35 W/m.K. This value was varied on the x and y directions by 5%, 10% and 15%. The heat flow applied to the numerical simulations were equal 75 W/m2, 100 W/m2 to 125 W/m2.It was possible to produce temperature profiles where is visible the displacement of isotherms as a function of the change in thermal conductivity in the x direction.

Download Full-text