I would like to simulate the process of heating a material in a stream of concentrated solar radiation, taking into account the spectrum of solar radiation, flux density, absorption coefficient of the material, phase changes in the material by changing the temperature of the material. how to apply the Stefan problem?
Dear M. S. Paizullakhanov ,
You have to physically describe your material by defining its:
Geometrical dimensions,
The specific heat of the material,
The density of the material,
The melting temperature,
The material of container and its shape as well as its thermal
properties as listed before.
The incident solar radiation power incident on the furnace,
The reflected part,
The absorbed part,
The re-radiated part by the black body radiation.
If there is vacuum you do not need to consider the convection.
The heat lost by conduction through the support of the container.
Then all you need is to write the heat balance equation and solve it to get the temperature as a function of T and get the steady sate temperature and whether you will reach the melting temperature or not.
Best wishes
Dear M. S. Paizullakhanov ,
You have to physically describe your material by defining its:
Geometrical dimensions,
The specific heat of the material,
The density of the material,
The melting temperature,
The material of container and its shape as well as its thermal
properties as listed before.
The incident solar radiation power incident on the furnace,
The reflected part,
The absorbed part,
The re-radiated part by the black body radiation.
If there is vacuum you do not need to consider the convection.
The heat lost by conduction through the support of the container.
Then all you need is to write the heat balance equation and solve it to get the temperature as a function of T and get the steady sate temperature and whether you will reach the melting temperature or not.
Best wishes
Thanks for the answer, we will make the heat balance equations. As you say, we will get a solution in the form of temperature versus time
This is a very difficult problem. Dr. Abdelhalim Zekry mentions only part of the tasks. The selection of a suitable physical model (maybe simplified) to describe the ongoing processes on the surface and inside the materials, their mathematical description - these are the main difficulties of the problem. I would recommend a review of the problem of the interaction of laser radiation with materials. Maybe some approaches can be used.
Please read the folowing paper
Article Simulation model for the transient process behaviour of sola...
If you have a flat surface you can try direct heating by using a copper plate. Connect the copper plates directly to the main line.
Before that check its resistance if a step down transformer is needed or not.
Heating can also be done using wire like nichrome wires or band heaters
It should be noted that this question is about modeling the processes of interaction of highly concentrated solar radiation on materials. Here, the density of concentrated solar radiation, for example, is from 200 W / cm2 to 700 W / cm2. This is a high density. I think this is important for this question.
Of course, in the case of a high degree of solar concentration of the order of 5000 times in the focal spot, a flux density of up to 500 W / cm2 can be achieved
Abdelhalim Zekry is right about the simulation result, which will be achieved by a heat balance equation, but calculating CR and thermal receiver efficiency and operating pressure can change the results lot. The thermal coefficient of PCM materials heat absorption can be triggered by using seeder.
thank you for the answer. It inspired me to search for modeling ways. In other words, I'm interested in modeling phase transitions or changes in phase states, for example, the transition from solid to liquid, taking into account the Stefan problem
- Badges
- Science topic