I have been given the task of calculating cooling time for an extruded steel rope running thru a water through at a certain feet per minute speed. I have been researching heat transfer formulas, but cant seem to find one involving time although i vaguely remember there being one from Physics classes years ago. Can anyone help me with the correct formula i should use for this?

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Edited July 12, 201312 yr by EdEarl

Don't expect a simple formula!

 

Essentially, you have to compare the rope's heat capacity (take its linear mass and steel's capacity per kg) with the heat transfer to water, and this latter is complicated as it depends on a flow.

 

You may try your luck with engineeringtoolbox, but beware heat flows depend essentially on speed any many conditions, like roughness.

 

What about experimental determination?

 

Or could the context give an intuitive obvious solution, that is "very quick" or "too slow"? If for instance the rope's radial conductivity limits the heat transfer, and not the water, then the question gets simpler again. Only figures would help that.