Mkotop
Mechanical
- Jan 19, 2012
- 3
Good day to all!
First time poster with a problem.
We have a 557 m3 vertical cylindrical steel tank, D=9,3m, h_fill=8,2m tank wall is cca 50 mm.
It will be filled with water from the nearby river in 3 stages. In every stage 1/3 of the volume and left to settle for 48 hours. After it's full it will be drained 1/3 of the volume every 24 hours. The filling part for each stage is roughly 4 hours, emptying rate unknown.
Temp of the river is 3°C, expected outside temperatures are -5°C at night and 4°C during the day. Wind speed not given
Question is will the water freeze at any point without the addition of antifreeze?
water 3°C c=4,21 kJ/kgK
steel c=0,49 kJ/kgK; k=25 w/m2K
Air -5°C c=0,717 kJ7kgK
Tank wall surface 237 m2
Heat loss of a full tank Q=kAdT=25*237*8=47,4 kW
If I calculated ok, the heat contained in 3°C water is (m*cp*T)
at 1/3 of Vmax: 2,344,970.00 kJ
at 2/3: 4,689,940.00
at Vmax=7,034,910.00
I know that the water will not be 3°C when the 2. and 3. stage of fill begins but don't know how to approximate.
So, this is all I got. Where do I go from here with the calculaions? I am without the clue how to add the time dimension in all of this.
Thank you!
First time poster with a problem.
We have a 557 m3 vertical cylindrical steel tank, D=9,3m, h_fill=8,2m tank wall is cca 50 mm.
It will be filled with water from the nearby river in 3 stages. In every stage 1/3 of the volume and left to settle for 48 hours. After it's full it will be drained 1/3 of the volume every 24 hours. The filling part for each stage is roughly 4 hours, emptying rate unknown.
Temp of the river is 3°C, expected outside temperatures are -5°C at night and 4°C during the day. Wind speed not given
Question is will the water freeze at any point without the addition of antifreeze?
water 3°C c=4,21 kJ/kgK
steel c=0,49 kJ/kgK; k=25 w/m2K
Air -5°C c=0,717 kJ7kgK
Tank wall surface 237 m2
Heat loss of a full tank Q=kAdT=25*237*8=47,4 kW
If I calculated ok, the heat contained in 3°C water is (m*cp*T)
at 1/3 of Vmax: 2,344,970.00 kJ
at 2/3: 4,689,940.00
at Vmax=7,034,910.00
I know that the water will not be 3°C when the 2. and 3. stage of fill begins but don't know how to approximate.
So, this is all I got. Where do I go from here with the calculaions? I am without the clue how to add the time dimension in all of this.
Thank you!