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May 4, 2009, 11:57 
How to calculate Nusselt number

#1 
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Sergey Malashenko
Join Date: May 2009
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Hello I need to calculate the Nusselt number for liquid sodium in a pipeline. Length of the pipeline is 3 meter. Diameter of the pipeline is 0.3 meter. Heat flux through outer surface of the pipeline is equal zero. Temperature on the right side and left side of the pipeline is 573 K and 773 K, respectively. Solution of the problem is free convective heat transfer.
Nu=/ is heat flux coefficient for liquid sodium at 673 K (average temperature) is effective heat flux coefficient including effect of free convective heat transfer. =Q/ST Q is heat flux through surface is the length S is cross sectional area of the pipe T is temperature difference (200 K) Which the surface have be used for calculation of Q? (the right side, the left side, the outer surface) How to calculate Nusselt number? TIA 

May 4, 2009, 14:13 

#2 
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Ahmed
Join Date: Mar 2009
Location: NY
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The Nu number, by definition, is a non dimensional heat transfer coefficient, in your case, you stated the outer surface of the pipe is adiabatic, so there is no heat transfer there.
Could you check your problem statement 

May 5, 2009, 01:55 

#3 
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Sergey Malashenko
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May 5, 2009, 21:38 

#4  
Senior Member
Ahmed
Join Date: Mar 2009
Location: NY
Posts: 250
Rep Power: 9 
Quote:
1 The sodium enters at 773K and leaves at 573K 2 Heat flux through outer surface is equal zero This is your problem statement, so what causes this temperature drop 

May 6, 2009, 01:57 

#5 
New Member
Sergey Malashenko
Join Date: May 2009
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The pipe is insulated. There is boyuancy driven flow. On the left side and the right side only heat flux is set (temperature). Problem is solved into the pipe.


Tags 
free convection, natural convection, nusselt number 
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