Centrifugal Force on Liquid Column

If the concept is similar to the sketch then the equations are:

dp= ρ*(r*ω²) dr → p=∫ dp = ρ*ω² ∫r² dr = ρ*ω² *r³/3 from 0 to R → p = ρ*ω² *R³/3

ω = π*n/30 with n=15000rpm and R= 3.5"

You may use the dimensions you wish.

There is a remark thus if you have an asymetrical design the circular path will generate at this speed an important centrifugal force the bearings have to absorb.

Hope it will help.

Hello nickname:

Thanks for your response. I,m afraid I didn't explain the concept too well. I hypothesized a tunnel 3 1/2 inches long from the point of rotation to the point where it makes a 3/4 inch diameter "hairpin turn" returning in the opposite direction with the centerline of the tunnels 3/4 inches apart and parallel. (actually as radians of the 8 inch diameter disk and therefore not quite parallel but please ignore that part)

The plan is to put as many of these tunnels as there is room for in the disk while staying under the point where the hydraulic pressure created by the centrifugal force acting on the liguid air times the surface area presented by the diameter and number of the tunnels becomes great enough to overcome the tensile strength of the disc material and split the disk. The question as to hydraulic pressure generated is directly related to this concern.

The entire design of the device is no secret, and as my intention is to "give it to humanity" would be delighted if someone smarter and with access to CAD and engineering software "took the idea and ran with it"

Until I understand the hydraulic factor, I believe it best not to generate any more questions. The design is unconventional, but I believe we have all the problems solved in principle. At the moment, there are many details to be worked out as to optimums. I also don't wish to be accused of being "off topic".

bill_michaels@adamswells.com

It sounds like your heat exchanger is just too small for the volume of liquid it has to evaporate. High speed seals that will work at cryogenic temperatures will be very expensive and difficult to find.

Where as adapting your system to a larger section of copper or stainless steel tubing to work as a higher capacity heat exchanger would be much cheaper and more practical to work with. Also using a external heat source to increase the energy transfer on your present system may be possible as well.

Thermal wrap or some form of heat tape system or even a liquid system where a much larger liquid to air exchanger is placed elsewhere to provide adequate warming may be an option as well.

My 1st comment had as goal only to answer your question and not discuss the principle it self.

I would like to add with respect to the basic idea following comments:

1- the force field generated will push the liquid flow toward periphery as a pump does, the flow will depend on the resistance presented by the gas outlet.

2- due to this flow it can be that the time in the channel is not long enough for the heat transfer from the environmental air via cooper discs the liquid and the liquid will not vaporize.

3- if you want to avoid ice the external wall temperature has to be at least a bit over 0°C. Cooper has a high thermal conductibility, air convection coefficient is low and convection from/to liquid has a quite high value. The risk is that the outer wall temperature will be near to liquid temperature so that lower as 0°C. If environmental air is not 100% dry ice will form and reduce even more convection to/from air.

4- although cooper has a high conductibility there will be a temperature gradient along the radius since convection with air is proportional to velocity, this means that near to the shaft velocity being small and area as well the heating will be less effective as on the periphery. Centrifugal force as well so in fact even if ice will not form at the rim it will be present near to shaft.

Putting all together the principle has quite low chances to bring what you expect it to do.

Interesting.......

In the pharmaceutical process industry, they had a device called a Column Chromatography. A lot of patents sealed any outsider from making this process device without paying a very high royalty fee.

A company asked me to use the same concepts....but in a different way. And I developed a rotary Chromatography using the centrifugal and centripetal forces you just describe. The device was larger diameter and to be a continuous process with high RPM so stratification of the product to occur for separation. But I had to solve those issues also, with the exception of the low temperatures, because of it a liquid phase and the size of the .....process drum, balancing was also solved, in two ways.

And with that Process RPM. I do not think you will have problems there, but your start up sequence to get there you may have issues

What is the temperature, if I may ask....or if you could answer?.

Seals would be Silicon Carbide. The joint design is I.P. of mine.

p911