Thanks, everyone for your input. I did find an excellent resource for this subject: Heat Transfer in Cold Climate by Virgil J. Lunardini, Van Nostrand Reinhold. We estimated it would take about 65 minutes to go from 70°F to 32°F when ambient is -49°F.
Trashcanman's solution makes sense, but...
Thanks desertfox. However I am looking for solutions incorporating duration (time) in the analysis. I believe the formulae from the links you provided are for instantaneous heat transfer. My problem is transient heat tranfer.
How long will it take to cool the water inside the insulated pipe...
I need to estimate the cooling time of water inside an infinitely long, 4 inch diameter pipe with 2 inch insulation. Outside temperatue is -40F, initial water temperature is 70F.
Does anyone know or can anyone direct me to a calculation methodology.
My research lead me to the calculation...
