Cylinder or Pipe - Conductive Heat Loss

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Conductive heat loss through a cylinder or pipe wall can be expressed as

q = 2 π k (t_i - t_o) / ln(r_o / r_i)        (1)

where

q = heat transferred per unit time per unit length of cylinder or pipe (W/m, Btu/hr ft)

k = thermal conductivity of the material (W/m.K or W/m ^oC, Btu/(hr ^oF ft²/ft))

t_o = temperature outside pipe or cylinder (K or ^oC, ^oF)

t_i = temperature inside pipe or cylinder (K or ^oC, ^oF)

ln = the natural logarithm

r_o = cylinder or pipe outside radius (m, ft)

r_i = cylinder or pipe inside radius(m, ft)

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