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_it_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!
