TY - JOUR

T1 - Electromagnetic drying of wet materials with a small depth of penetration of microwave radiation in the conditions of heat removal by radiation and convection. II. Stage of constant drying speed

AU - Salomatov, Vladimir V.

AU - Karelin, Vadim A.

AU - Salomatov, Vasiliy V.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - The relevance of the research is dictated by the need to develop mathematical models of microwave heating and MWCdrying of wet materials to obtain technologically optimal and costCeffective modes. This publication is a continuation of the article by the same authors in «Bulletin of the Tomsk Polytechnic University. Geo Assets Engineering», in which the authors using mathematical modeling, studied in detail the process at the first stage of drying –the heating stage, when heat exchange between the surface of a moist body and the enC vironment is due to radiation and convection – energy is absorbed by the surface layer due to its small depth of penetration. The authors constructed the asymptotic solutions of this nonlinear problem for small and large values of dimensionless time demanded by engineC ering practice, both for parametric analysis, and for carrying out operational calculations. The approach associated with the consideraC tion of the second stage, the stage of constant drying rate, is based on a more detailed study of heat transfer, and the calculation of the rate of drying is carried out using the approximation dependence of A.V. Lykov. The paper proposes a condition for crossClinking of therC mal modes of I and II stages of drying. The aim of the research is the state of the problem of the second stage of microwave drying of wet material – a stage of constant dryC ing rate – and implementation of a theoretical solution to determine the distribution of the temperature field across the layer thickness and the magnitude of the drying rate. The object of the research is a flat layer of wet material – coal, sand, wood, and other capillary-porous arrays, which are affected by microwave radiation. Such materials have a high dielectric constant and, as a result, very effectively absorb microwave radiation, which is almost 100 % converted to thermal energy. The research methods are associated with mathematical modeling, which are based on Maxwell’s electrodynamics equations and A.V. Lykov heat and moisture transfer. In this article, the Maxwell problem is solved independently of the problem of heat and mass tranC sfer; therefore, the flux density absorbed by microwave radiation is known. Also, one of the features of this problem is the consideraC tion of materials with a small absorption depth, that is why the source term in the system of equations for heating is in the boundary condition. As a result of the research, the authors involving the stationary temperature field conditions and the constancy of the moisture content flux density over time stated and solved the problem of temperature field distribution across the thickness of the wet plate, which stricC tly follows the square parabolic law. The drying speed of the II stage and the critical moisture content at the end of the II stage were deC termined from A.V. Lykov correlation dependencies. The paper introduces the stitching solutions for the I and II stages and the analysis of the constructed solutions.

AB - The relevance of the research is dictated by the need to develop mathematical models of microwave heating and MWCdrying of wet materials to obtain technologically optimal and costCeffective modes. This publication is a continuation of the article by the same authors in «Bulletin of the Tomsk Polytechnic University. Geo Assets Engineering», in which the authors using mathematical modeling, studied in detail the process at the first stage of drying –the heating stage, when heat exchange between the surface of a moist body and the enC vironment is due to radiation and convection – energy is absorbed by the surface layer due to its small depth of penetration. The authors constructed the asymptotic solutions of this nonlinear problem for small and large values of dimensionless time demanded by engineC ering practice, both for parametric analysis, and for carrying out operational calculations. The approach associated with the consideraC tion of the second stage, the stage of constant drying rate, is based on a more detailed study of heat transfer, and the calculation of the rate of drying is carried out using the approximation dependence of A.V. Lykov. The paper proposes a condition for crossClinking of therC mal modes of I and II stages of drying. The aim of the research is the state of the problem of the second stage of microwave drying of wet material – a stage of constant dryC ing rate – and implementation of a theoretical solution to determine the distribution of the temperature field across the layer thickness and the magnitude of the drying rate. The object of the research is a flat layer of wet material – coal, sand, wood, and other capillary-porous arrays, which are affected by microwave radiation. Such materials have a high dielectric constant and, as a result, very effectively absorb microwave radiation, which is almost 100 % converted to thermal energy. The research methods are associated with mathematical modeling, which are based on Maxwell’s electrodynamics equations and A.V. Lykov heat and moisture transfer. In this article, the Maxwell problem is solved independently of the problem of heat and mass tranC sfer; therefore, the flux density absorbed by microwave radiation is known. Also, one of the features of this problem is the consideraC tion of materials with a small absorption depth, that is why the source term in the system of equations for heating is in the boundary condition. As a result of the research, the authors involving the stationary temperature field conditions and the constancy of the moisture content flux density over time stated and solved the problem of temperature field distribution across the thickness of the wet plate, which stricC tly follows the square parabolic law. The drying speed of the II stage and the critical moisture content at the end of the II stage were deC termined from A.V. Lykov correlation dependencies. The paper introduces the stitching solutions for the I and II stages and the analysis of the constructed solutions.

KW - A.V. Lykov heat and moisture transfer equations

KW - CapillaryCporous massif

KW - Convection

KW - Drying speed

KW - Electromagnetic drying

KW - Heat radiation

KW - Microwave energy

KW - Microwave energy

KW - electromagnetic drying

KW - capillary-porous massif

KW - heat radiation

KW - convection

KW - A.V. Lykov heat and moisture transfer equations

KW - drying speed

KW - ASSISTED PYROLYSIS

KW - COAL

KW - IRRADIATION

UR - http://www.scopus.com/inward/record.url?scp=85077856748&partnerID=8YFLogxK

U2 - 10.18799/24131830/2019/12/2408

DO - 10.18799/24131830/2019/12/2408

M3 - Article

AN - SCOPUS:85077856748

VL - 330

SP - 119

EP - 125

JO - Известия Томского политехнического университета. Инжиниринг георесурсов

JF - Известия Томского политехнического университета. Инжиниринг георесурсов

SN - 2500-1019

IS - 12

ER -