spherical container is made of plastic (k=2 W/mK, ρ=5000 kg/m) and has inner and outer radii of 10 cm and 11 cm, respectively. Hot oil (c=3000 J/kgK, ρ=800 kg/m3 ) at 80 0C is stored within the container and the heat transfer coefficient between the oil and the inner surface of the container h=5 W/m2K . The outer surface of the container is perfectly insulated. Solve the differential equation under the boundary conditions for steady one dimensional heat conduction through the plastic material. h (W/m2K)=? a) Obtain an equation for the variation of temperature within the plastic material b) Calculate the temperature of the plastic material at the inner surface c) Calculate the temperature of the plastic material at the inner surface
A spherical container is made of plastic (k=2 W/mK, ρ=5000 kg/m) and has inner and outer radii of 10
cm and 11 cm, respectively. Hot oil (c=3000 J/kgK, ρ=800 kg/m3
) at 80 0C is stored within the container and
the heat transfer coefficient between the oil and the inner surface of the container h=5 W/m2K
. The outer surface of the
container is perfectly insulated. Solve the differential equation under the boundary conditions for steady one
dimensional heat conduction through the plastic material.
h (W/m2K)=?
a) Obtain an equation for the variation of
temperature within the plastic material
b) Calculate the temperature of the plastic material at
the inner surface
c) Calculate the temperature of the plastic material at
the inner surface
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