Fully developed (both hydrodynamic and thermal) laminar flow ispushed through a thin-walled circular pipe of diameter 13 mm. Thefluid flows through the pipe at a velocity of 0.1 m/sec, has adensity of 1000 kg/m^3, a dynamic viscosity of 855 x 10^-6 Pa-sec,a specific heat of 4000 J/kg-K, a Prandtl number of 8, and athermal conductivity of 0.613 W/(m-K).
The outside of the pipe is subjected to uniform cross flow wherethe free-stream velocity is 5 m/sec, the density is 1 kg/m^3, thedynamic viscosity is 180 x 10^-7 Pa-sec, the Prandtl number is 0.7,the specific heat is 1000 J/(kg-K), and the thermal conductivity is0.02 W/(m-K).
The pipe (remember the flow is fully developed everywhere) is 10m long and is wrapped with a thin heater that is generating uniformflux around the periphery of the pipe.
A) What is the specific thermal resistance (K-m^2/W) at a point5 m into the pipe from the interior surface of the wall to the meanfluid temperature?
B) Using the conditions outlined above for the isoflux pipe incross-flow, what is the specific thermal resistance (K-m^2/W) fromthe outside surface of the pipe (or thin heater surface if you wantto think of it like that) to the free stream cross-flow fluid?
