Abstract

Microwave heating is widely used in the energy, construction, forestry, chemical and food industries, etc. There are many publications that discuss the main mechanisms that occur during microwave heating. For a better understanding of these processes and the development of high-performance microwave installations, mathematical modeling is necessary. As a rule, nonlinear models that most adequately describe these phenomena use a numerical algorithm for calculations. The authors of this report are engaged in approximate analytical approaches for microwave heating and microwave drying of bodies, which, with a controlled decrease in accuracy, nevertheless allow you to display the main processes and evaluate such heating and drying parameters as: temperature and moisture distribution, heating time, drying speed, reaching maximum values, etc. In this work, we consider a model of microwave heating in the form of a ball with uniform irradiation of microwave energy in the conditions of radiation-convective interaction of the product with the environment. The absorption of the microwave inside the material is given by the law of the Bouguer. In this case, a number of simplifications were made: the electrophysical and thermophysical properties of the material are constant, the material is homogeneous in composition and properties.

Highlights

  • Using the conditions for the uniqueness of the problem, we represent this system in the following dimensionless variables

  • We will find the solution of this system as the sum of the solution of a homogeneous problem and the solution with the inhomogeneous term taken into account: (, )= (, )+ (, )

  • + ( ) ( ) + of inhomogeneous problem in the system [10-12], we find the constants: (

Read more

Summary

Introduction

Using the conditions for the uniqueness of the problem, we represent this system in the following dimensionless variables. We will find the solution of this system as the sum of the solution of a homogeneous problem and the solution with the inhomogeneous term taken into account: ( , )= ( , )+ ( , ) The solution of a homogeneous problem in general: ( , ) = We substitute a general solution ( , ) =

Results
Conclusion
Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.