title: ÐÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð°Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¿Ð¾ÑÐ¸ÑÑÐ¾Ð³Ð¾ ÑÐµÐ»Ð° Ð² Ð¿Ð°ÐºÐµÑÐµ CVDSim3D Ð¸ ÑÐµÑÑÐ¾Ð²ÑÐµ ÑÐ°ÑÑÐµÑÑ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Software implementation of a porous body model in the CVDSim3D package and test calculations
Creators: name: ÐÐµÐ¼Ð¾, ÐÐ»ÑÑ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2023
Subjects: Ð¼Ð¾Ð´ÐµÐ»Ñ Ð¿Ð¾ÑÐ¸ÑÑÐ¾Ð³Ð¾ ÑÐµÐ»Ð°
ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ ÐÐ°ÑÑÐ¸-ÐÑÐ¸Ð½ÐºÐ¼Ð°Ð½Ð°-Ð¤Ð¾ÑÑ Ð°Ð¹Ð¼ÐµÑÐ°
Ð¾Ð´Ð½Ð¾Ð¼ÐµÑÐ½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ Ð² Ð¿Ð¾ÑÐ¸ÑÑÐ¾Ð¹ ÑÑÐµÐ´Ðµ
ÑÐ²Ð¾Ð±Ð¾Ð´Ð½Ð°Ñ ÐºÐ¾Ð½Ð²ÐµÐºÑÐ¸Ñ Ð² Ð¿Ð¾ÑÐ¸ÑÑÐ¾Ð¹ ÑÑÐµÐ´Ðµ
porous body model
Darcy-Brinkman-Forheimer equation
one-dimensional flow in a porous medium
natural convection in a porous medium

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ Ð¸ Ð²ÐµÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¸ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÑÐ»Ñ Ð² Ð¿Ð°ÐºÐµÑÐµ CVDSim3D Ð´Ð»Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð²ÑÐ·ÐºÐ¾Ð¹ Ð¶Ð¸Ð´ÐºÐ¾ÑÑÐ¸ Ð² Ð¿Ð¾ÑÐ¸ÑÑÐ¾Ð¹ ÑÑÐµÐ´Ðµ, Ð° ÑÐ°ÐºÐ¶Ðµ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ¸Ð¼ ÑÐ°ÑÑÐµÑÐ°Ð¼. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÑÐ»Ñ, Ð¾Ð±ÐµÑÐ¿ÐµÑÐ¸Ð²Ð°ÑÑÐµÐ³Ð¾ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÑ ÑÐ°ÑÑÐµÑÐ° ÑÐµÑÐµÐ½Ð¸Ñ Ð²ÑÐ·ÐºÐ¾Ð¹ Ð¶Ð¸Ð´ÐºÐ¾ÑÑÐ¸ Ð² Ð¿Ð¾ÑÐ¸ÑÑÐ¾Ð¹ ÑÑÐµÐ´Ðµ. 2. ÐÐµÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ñ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÑÐ»Ñ Ð½Ð° Ð·Ð°Ð´Ð°ÑÐ°Ñ Ð¾Ð´Ð½Ð¾Ð¼ÐµÑÐ½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ ÑÐµÑÐµÐ· Ð¿Ð¾ÑÐ¸ÑÑÑÐ¹ ÑÐ»Ð¾Ð¹ Ð¸ Ð´Ð²ÑÐ¼ÐµÑÐ½Ð¾Ð³Ð¾ ÑÐ²Ð¾Ð±Ð¾Ð´Ð½Ð¾-ÐºÐ¾Ð½Ð²ÐµÐºÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð²ÑÐ·ÐºÐ¾Ð¹ Ð¶Ð¸Ð´ÐºÐ¾ÑÑÐ¸ Ð² ÐºÐ²Ð°Ð´ÑÐ°ÑÐ½Ð¾Ð¹ Ð¿Ð¾Ð»Ð¾ÑÑÐ¸, ÑÐ°ÑÑÐ¸ÑÐ½Ð¾ Ð·Ð°Ð¿Ð¾Ð»Ð½ÐµÐ½Ð½Ð¾Ð¹ Ð¿Ð¾ÑÐ¸ÑÑÐ¾Ð¹ ÑÑÐµÐ´Ð¾Ð¹. 3. ÐÐ½Ð°Ð»Ð¸Ð· Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð³ÑÐ°Ð½Ð¸ÑÐ½Ð¾Ð³Ð¾ ÑÑÐ»Ð¾Ð²Ð¸Ñ Ð½Ð° ÑÑÐµÐ½ÐºÐµ, Ðº ÐºÐ¾ÑÐ¾ÑÐ¾Ð¹ Ð¿ÑÐ¸Ð¼ÑÐºÐ°ÐµÑ Ð¿Ð¾ÑÐ¸ÑÑÐ°Ñ ÑÑÐµÐ´Ð°. 4. ÐÐ°ÑÐ°Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ ÑÐ¸ÑÐµÐ» ÐÐ°ÑÑÐ¸ Ð¸ Ð ÐµÐ»ÐµÑ Ð½Ð° Ð²ÐºÐ»Ð°Ð´ Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð¹ Ð¿Ð¾Ð¿ÑÐ°Ð²ÐºÐ¸ Ð¤Ð¾ÑÑÐ°Ð¹Ð¼ÐµÑÐ° Ð¿ÑÐ¸ ÑÐ°ÑÑÐµÑÐµ ÑÐ²Ð¾Ð±Ð¾Ð´Ð½Ð¾-ÐºÐ¾Ð½Ð²ÐµÐºÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ. Ð Ð°Ð±Ð¾ÑÐ° Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð° Ñ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸ÐµÐ¼ Ð²ÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½ÑÑ ÑÑÐµÐ´ÑÑÐ² Ð¸ ÑÐµÑÑÑÑÐ¾Ð² ÐºÐ¾Ð¼Ð¿Ð°Ð½Ð¸Ð¸ ÐÐÐ Â«Ð¡Ð¾ÑÑ-ÐÐ¼Ð¿Ð°ÐºÑÂ». Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð±ÑÐ» Ð½Ð°Ð¿Ð¸ÑÐ°Ð½ Ð¼Ð¾Ð´ÑÐ»Ñ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ñ, ÑÑÐ¿ÐµÑÐ½Ð¾ Ð²ÐµÑÐ¸ÑÐ¸ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÐ¹ Ð½Ð° Ð´Ð²ÑÑ ÑÐ°Ð·Ð½ÑÑ ÑÐ¸Ð¿Ð°Ñ Ð·Ð°Ð´Ð°Ñ. ÐÐ»Ñ Ð·Ð°Ð´Ð°ÑÐ¸ ÑÐ²Ð¾Ð±Ð¾Ð´Ð½Ð¾-ÐºÐ¾Ð½Ð²ÐµÐºÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð² Ð¿Ð¾Ð»Ð¾ÑÑÐ¸, ÑÐ°ÑÑÐ¸ÑÐ½Ð¾ Ð·Ð°Ð¿Ð¾Ð»Ð½ÐµÐ½Ð½Ð¾Ð¹ Ð¿Ð¾ÑÐ¸ÑÑÐ¾Ð¹ ÑÑÐµÐ´Ð¾Ð¹, ÑÑÑÐ°Ð½Ð¾Ð²Ð»ÐµÐ½Ð¾, ÑÑÐ¾ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ Ð¿Ð¾Ð¿ÑÐ°Ð²ÐºÐ¸ Ð¤Ð¾ÑÑÐ°Ð¹Ð¼ÐµÑÐ° Ð½Ðµ ÑÑÑÐµÑÑÐ²ÐµÐ½Ð½Ð¾ Ð¿ÑÐ¸ ÑÐ¸ÑÐ»Ð°Ñ â 10^3.
description: This work is devoted to the development and verification of a software module in the CVDSim3D package for modeling the flow of a viscous fluid in a porous medium, as well as parametric calculations. The research set the following goals: 1. Development of a software module to calculate the flow of a viscous fluid in a porous medium. 2. Verification of the software module on the problems of one-dimensional flow through a porous layer and two-dimensional natural-convective flow of a viscous fluid in a rectangular enclosure. 3. Analysis of the effect of the boundary condition on the wall, to which the porous medium adjoins. 4. A parametric study of the influence of Darcy and Rayleigh numbers on the nonlinear Forheimer correction contribution to the calculation of the natural-convective flow. The work was carried out with the use of computing facilities and resources of Â«Soft-ImpactÂ». As a result, a program module was written and successfully verified on two different types of problems. For the problem of natural convective flow between a fluid layer and a porous layer, it was found that the influence of Forheimer Ñorrection is not significant at numbers â 10^3.