Well, it's difficult to explain: it's simple but at the same has some complexity. Look at http://www.plantform.se/pub/. This's just a way to set a TIS. Also you can made a hand-made system using the same principles. Good luck.
The photo did not show the whole thing, so this is what I think:
1. From your photo, the medium is pumped through a tube connected a filter into the left side of the lower container. The filter (see attached below) can sterilized the medium. Once the medium is in the lower container, the medium can be pumped (by air pressure) into the upper container through the connected short tube (on the right side), and the plants temporarily immersed in the medium for nutrients. The medium will then flow back into the lower container once the air pressure is drawn.
That system's design from your photo and from that provided by Ricardo Julian Licea are somewhat different, but the mechanism for both are similar. Pump in the medium for plant temporarily immersion, then recycle the medium. Pumps can be controlled by timers.
2. Please also see this movie on Youtube, if you can access to it. It better to turn on c.c. (close caption) when you play the movie due to the unclear speech.
Pump the culture medium through a filter is a posibility but it's not the case, as in the video. The filters used in TISs are hydrophobic so they're used to sterilize the air that is pumped to move the culture medium in a direction or into another. The concept for TIS is that the medium is separated from plant material except for a time (established for the specie and/or purpose) in which it's pumped toward the plant material and afterward the medium return to the original place.Now there're a lot of systems to perform TI. In the video that Yau reccommended you can see SETIS system. Plantform bioreactors are other kind of TIS in the market. But you can made your own system using those materials that are accesible to you. Important is that everything have to be esterilized, chemically or by autoclave. If you type in Google temporary immersion systems in plant micropropagation you'll find a lot of information and images that can guide you. If you need more information don't hesitate toa ask again. Good luck.
I think you are right. In Momtaz's photo, certain amount of sterilized medium has already in the lower container. And the air is pumped into the lower container to push the medium upwards to the upper container with plants. The filter is used for air purification. This makes sense. Besides, I haven't seen any other tube for pumping air (to produce pressure) into the lower container in the photo anyway..
By the way, It seems that the 'Plantform' have tubes to pump other gas such as O2 for the plants. However, where, in Momtaz's photo, the O2 can be pumped into the upper container with plants??
[Edit] probably the other tube (with a filter) on the top....
The third "hole" in Plantform is used to release the presure during immersion. It's also used to release "gases" from plant metabolism. Of course, you could pump CO2, or just air, the common procedure. For this, you only have to activate your system at the contrary for the immersion; it means to pump air (or CO2) directly to the container with plant materials: that's all. Take into account that it's necessary to make some "vacuum" immersion every day: it's mandatory, at least in my experience.
Dear Abdelrahman, you should know that chemical sterilization is not as safe as sterilization by autoclave could be. For sterilization with chemicals could use the normal procedures as those used for explants sterilization except that you could increase the concentration of sterilants and/or the time for treatment.