k_(s)=50(W)/(m)*K D_(i,1)=
150 mm and wall thickness t_(i)=20mm while the outer steel pipe has an inside diameter of D_(i,2)=250mm and wall thickness
t_(0)=t_(i){:k_(p)=0.0675(W)/(m)*K).
between the two pipes does not exceed its maximum service temperature of T_(p,max)=70\deg C. The ocean water is at T_(\infty ,0)=-5\deg C and
provides an external convection heat transfer coefficient of h_(o)=500(W)/(m^(2))*K. The convection coefficient associated with the flowing
crude oil is h_(i)=450(W)/(m^(2))*Kt_(a)=10mm k_(a)=0.012(W)/(m)*K T_(p, max )=70\deg C.
Physical Properties Mathematical Functions