Shape Factor Conduction ProblemA cylindrical pipeline that is used for the transport of crude oil is buried in the soil horizontallysuch that its centerline is 1.5 m (z) below the surface. The pipe has the outer diameter of 0.5 m(D) and is coated with a 100 mm thick layer of glass insulation on the outside. Assume thatheated oil at 120 °C flows through the pipe and the soil surface temperature is at 0 °C (T2). Thesoil thermal conductivity is known as 0.5 W/m-K, and the glass insulation thermal conductivityis known as 0.07 W/m-K. What is the rate of heat loss per unit length of the pipe (W/m)?SoilGlassinsulationOil, T TABLE 4.1 Conduction shape factors and dimensionless conduction heat rates forselected systems.(a) Shape factors (g = Sk(T, - T)]SystemSchematicRestrictionsShape FactorCase 1Isothermal sphere buried in a semi-infinite mediumz> D22mD1- DIA2Case 22nLHorizontal isothermal cylinder of length Lburied in a semi-infinite mediumL>Dcosh (2z/D)L>D2mLz> 3D/2In (47/D)Case 3T2Vertical cylinder in a semi-infinitemedium2mLIn (4LID)L>DCase 42mLConduction between two cylinders oflength L in infinite mediumL> D,. D,(4w² -Di - D20,D.coshCase 5Horizontal circular cylinderof length L midway betweenparallel planes of equallength and infinite widthz> D/22nLIn (87/TD)Case 6Circular eylinder of length Lcentered in a square solid ofequal lengthw>D2mLIn (1.08 w/D)

Given:- h=1.5m d=0.5m t=100mm=0.2m T0=100°C Ts=0°C kg=0.07 W/m.K ke=0.5 W/m.K To find:- Heat loss…

A cylindrical pipeline that is used for the transport of crude oil is buried in the soil horizontally such that its centerline is 1.5 m (z) below the surface. The pipe has the outer diameter of 0.5 m (D) and is coated with a 100 mm thick layer of glass insulation on the outside. Assume that heated oil at 120 °C flows through the pipe and the soil surface temperature is at 0 °C (T:). The soil thermal conductivity is known as 0.5 W/m-K, and the glass insulation thermal conductivity is known as 0.07 W/m-K. What is the rate of heat loss per unit length of the pipe (W/m)?

A cylindrical pipeline that is used for the transport of crude oil is buried in the soil horizontally such that its centerline is 1.5 m (z) below the surface. The pipe has the outer diameter of 0.5 m (D) and is coated with a 100 mm thick layer of glass insulation on the outside. Assume that heated oil at 120 °C flows through the pipe and the soil surface temperature is at 0 °C (T:). The soil thermal conductivity is known as 0.5 W/m-K, and the glass insulation thermal conductivity is known as 0.07 W/m-K. What is the rate of heat loss per unit length of the pipe (W/m)?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter7: Forced Convection Inside Tubes And Ducts

Section: Chapter Questions

Problem 7.53P

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