
#1
Jan1414, 05:13 AM

P: 32

Hi,
As part of an experiment I am doing I have a small uniform circular disc that is submerged in 20ml of a liquid and is spinning at 2000rpm for 60 seconds. The disc is 1mm thick and 40mm in diameter. I am trying to see what effect the spinning disc has on the growth of cells that are in the liquid but I am worried that the rotation of the disc at this speed for this length of time might be causing the liquid to heat up a couple of degrees, compromising the accuracy of my results. Is there any way that I can calculate the amount of heat energy dissipated into the liquid due to the rotation of the disc? To make it simpler, it can be assumed that the liquid has the same properties as water (density, viscosity, specific heat capacity etc.). Any help would be hugely appreciated, I have made a stab at it but am unsure about the method. Thanks very much! Michael 



#2
Jan1414, 06:27 AM

P: 263

Measure the power of the motor with and without the disc being submerged.




#3
Jan1414, 11:23 AM

Sci Advisor
PF Gold
P: 11,383

There's no substitute for experimenting with this. The temperature rise will depend upon a lot of factors  like the thermal capacity of the container and disc. Best to measure it (perhaps without the cells) for various periods of time and with different external conditions. It would be a couple of hours well spent, I reckon and would test you equipment at the same time.




#4
Jan1414, 11:30 AM

Sci Advisor
HW Helper
Thanks
PF Gold
P: 4,502

Heat Generated due to Spinning Disc
You can always bound the answer by assuming that all the heat generated stays in the fluid. To analyze this properly, you need to more precise and specific about the geometry of the cell and the disc.
Chet 



#5
Jan1514, 09:56 AM

P: 32

To be honest I only really need a very rough estimate, a ballpark figure, of how much the liquid would heat up. If it is assumed as Chet says that all of the heat stays in the fluid does anybody know of any equation or correlation I could use to get an idea? I was thinking there might be a way to convert the power of the motor (J/s) into energy dissipated or something.
Thanks. 



#6
Jan1514, 10:14 AM

Sci Advisor
PF Gold
P: 11,383

OK. Ball park figure.
It takes 4.2J or raise the temperature of 1gm of water by 1 degreeC. 1J is 1 Watt for 1 second. Energy in = mass X temperature rise X 4.2 When Mass is in grammes (same as cc when it's water), energy is in Joules and temperature rise is in C Putting it the way round you want it: Temp rise = Energy in/ (4.2 times mass) That should be enough and will be the most pessimistic answer. Some heat will go elsewhere. Edit: I just thought  you don't know the Energy directly. Take the power of the motor (or the Volts times rated current) times the time in seconds. If you don't know the power of the motor then there is a big hole in the required knowledge, I think. You need to do some investigating (look on the side of the motor / measure the current when it's running / etc etc) 



#7
Jan1514, 11:01 AM

Sci Advisor
HW Helper
Thanks
PF Gold
P: 4,502

Chet 



#8
Jan1614, 10:55 AM

P: 32

Okay, thanks everyone for the help!



Register to reply 
Related Discussions  
How to calculate spinning disc torque which resists tilting of the disc's axis?  General Physics  7  
Maximum RPM of a Spinning Disc  Mechanical Engineering  1  
Slowing A Spinning Disc To A Stop  Advanced Physics Homework  4  
Spinning disc  Special & General Relativity  15  
I am slipping off my spinning disc  Introductory Physics Homework  6 