problem4-13 - PROBLEM 4.13 KNOWN Surface temperatures of...

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PROBLEM 4.13 K NOWN: Surface temperatures of two parallel pipe lines buried in soil. F IND: Heat transfer per unit length between the pipe lines. SCHEMATIC: ASSUMPTIONS: (1) Steady-state conditions, (2) Two-dimensional conduction, (3) Constant properties, (4) Pipe lines are buried very deeply, approximating burial in an infinite medium, (5) Pipe length >> D 1 or D 2 and w > D 1 or D 2 . A NALYSIS: The heat transfer rate per unit length from the hot pipe to the cool pipe is ( ) 1 2 q S q k T L L ′ = = T . T he shape factor S for this configuration is given in Table 4.1 as 2 2 2 -1 1 2 1 2 2 L S . 4w D D cosh 2D D π =
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