The mathematical model of mass and heat transfer for microwave installations
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2023-09-18 10:46
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IVANOV, Leonid, VIŞANU, Vitali, ŢISLINSCAIA, Natalia, BALAN, Mihail, MELENCIUC, Mihail. The mathematical model of mass and heat transfer for microwave installations. In: Modern Technologies in the Food Industry, Ed. 5, 20-22 octombrie 2022, Chişinău. Chișinău, Republica Moldova: 2022, p. 33.
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Modern Technologies in the Food Industry 2022
Conferința "Modern Technologies in the Food Industry"
5, Chişinău, Moldova, 20-22 octombrie 2022

The mathematical model of mass and heat transfer for microwave installations


Pag. 33-33

Ivanov Leonid, Vişanu Vitali, Ţislinscaia Natalia, Balan Mihail, Melenciuc Mihail
 
Technical University of Moldova
 
 
Disponibil în IBN: 23 ianuarie 2023


Rezumat

Of increased interest is the research of mass and heat transfer in the drying of vegetable products with the application of microwaves. In the case of dehydration in microwave installations in order to obtain a high yield, the product subjected to heat treatment must be optimally located to the microwave generator (magnetron) to exclude the phenomenon of reflection as much as possible. For microwaves the reflection from the product must be minimal, this condition is written as: ?(?,?,?)|?=0=?? (1) ????(?,?,?)|→?=±?=∓??пр(Тп−Тр)|?=? (2) ????(?,?,?)=±??пр(Тп−Тр)|?=0;? (3) Solving the boundary equations for temperature, (1) - (3) by the method of separation of variables is written in the second form: T=ΣΣ???(?)[cos(???∗?)−????2?sin⁡(?2??)]∙cos⁡(∞?=1∞?=1????) (4) For the given boundary conditions: ?(?,?,?)|?=0=?? (5) ????(?,?,?)|→?=±?=????(?,?,?)|?=±? (6) ????(?,?,?)|→?=0,?=∓????(?,?,?)|?=0,⁡⁡⁡? (7) Solving the system of equations (5) – (6) for humidity will have the form: ?=⁡Σ.∞?=1Σ??(?)(cos(????)−???????∙???????∙???????)∞?=1 (8) In the design phase of dehydration installations using SHF, the position of the product tray as well as the magnetron is very important, it is recommended to position the product perpendicular to the direction of microwave propagation.

Cuvinte-cheie
microwave, SHF, magnetron, temperature, humidity