TY - JOUR

T1 - Microwave drying modeling of wet materials with two nonstationary-mobile boundaries of phase transformations

AU - Karelin, Vadim

AU - Salomatov, Vladimir

AU - Salomatov, Vasiliy

PY - 2018/1/1

Y1 - 2018/1/1

N2 - This article deals with simulation and analytical solution of the problem of wet material drying under the action of a plane electromagnetic wave of the microwave range. The mathematical model of microwave drying is considered at two stages: the heating stage and the drying stage. The temperature field of the material in the mode of heating, under the absorption conditions of microwave radiation according to the Beer–Lambert law, is found analytically, strictly with the use of the Fourier and Laplace transforms. In time, the first stage ends at the moment when the maximum temperature inside the material reaches the temperature of the water-vapor phase transition. The drying process is studied as heat transfer in a three-phase medium with two unsteadily moving boundaries of phase transformations, the rate of which is not known in advance and is determined from the Stefan balance ratio. The temperature distribution in this regime is found analytically with the use of asymptotic procedures. In addition, important characteristics such as drying time, drying temperature, drying speed, and other parameters needed for practical applications are found.

AB - This article deals with simulation and analytical solution of the problem of wet material drying under the action of a plane electromagnetic wave of the microwave range. The mathematical model of microwave drying is considered at two stages: the heating stage and the drying stage. The temperature field of the material in the mode of heating, under the absorption conditions of microwave radiation according to the Beer–Lambert law, is found analytically, strictly with the use of the Fourier and Laplace transforms. In time, the first stage ends at the moment when the maximum temperature inside the material reaches the temperature of the water-vapor phase transition. The drying process is studied as heat transfer in a three-phase medium with two unsteadily moving boundaries of phase transformations, the rate of which is not known in advance and is determined from the Stefan balance ratio. The temperature distribution in this regime is found analytically with the use of asymptotic procedures. In addition, important characteristics such as drying time, drying temperature, drying speed, and other parameters needed for practical applications are found.

KW - Drying

KW - Fourier transform

KW - Heat equation

KW - Heating

KW - Laplace transform

KW - Microwave radiation

KW - Stefan problem

KW - Temperature field

UR - http://www.scopus.com/inward/record.url?scp=85067844101&partnerID=8YFLogxK

U2 - 10.1615/INTERFACPHENOMHEATTRANSFER.2018022911

DO - 10.1615/INTERFACPHENOMHEATTRANSFER.2018022911

M3 - Article

AN - SCOPUS:85067844101

VL - 6

SP - 155

EP - 167

JO - Interfacial Phenomena and Heat Transfer

JF - Interfacial Phenomena and Heat Transfer

SN - 2169-2785

IS - 2

ER -