Physics Help Forum Integration of heat transfer rate equation
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 May 25th 2017, 05:24 AM #1 Junior Member   Join Date: May 2017 Posts: 1 Integration of heat transfer rate equation Hi everyone, I am trying to do an analysis of a steam pipeline to compare the use of steam to warm up a pipeline after shutdown versus other methods (heat strips). The one thing I am trying to figure out is the units for the integration of the heat transfer rate equation which is Q=(2*pi*k*L*(t_i-t_o))/(ln (r_o/r_i). Where k is the thermal conductivity of insulation, L is length of the pipe, t_i is the temperature inside of the pipe, t_o is the ambient temperature, r_o is the radius of the insulated pipe and r_i is the radius of the bare pipe. The reason I am integrating this is because as t_i changes, so does k. Also because I am trying to gather an overall value for the work injected in the system to compare economically to another form of work. Thank you in advance for your help!

 Tags equation, heat, integration, rate, transfer

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