In: Mechanical Engineering

A 1-cm diameter UO2 fuel rod with zirconium clad of thickness 0.025 cm develops 16.4 kW/m. The coolant heat transfer coefficient is 7000 W/m2 oC, and the fluid saturation temperature is 280 oC. Assume any missing data, and write all assumptions

Questions

1) Write the 1D steady state conduction equation of the fuel rod
and the clad,

2) Find the thermal conductivity of the fuel and the clad,

3) Specify the boundary conditions,

4) Write the solution of the equation for the fuel and the clad,

5) Compute the heat flux at the surface of the fuel,

6) What is the temperature at the center of the fuel rod?

7) What is the temperature at the surface of the fuel rod?

8) What is the temperature at the surface of the clad?

9) How much the maximum and minimum temperatures and where is each?

10) What is the total rate of heat (Watts) at the fuel-clad interface and coolant-clad interface?

A 1.60 m cylindrical rod of diameter 0.550 cm is connected to a
power supply that maintains a constant potential difference of 17.0
V across its ends, while an ammeter measures the current through
it. You observe that at room temperature (20.0 ∘ C ) the ammeter
reads 18.8 A , while at 92.0 ∘C it reads 17.3 A . You can ignore
any thermal expansion of the rod.
Part A
Find the resistivity and for the material of the...

Exercise 25.11 A 1.70 m cylindrical rod of diameter 0.550 cm is
connected to a power supply that maintains a constant potential
difference of 17.0 V across its ends, while an ammeter measures the
current through it. You observe that at room temperature (20.0 ∘C)
the ammeter reads 18.2 A , while at 92.0 ∘C it reads 17.4 A . You
can ignore any thermal expansion of the rod.
Part B
Find the temperature coefficient of resistivity at 20 ∘C...

A brass ring of diameter 10.00 cm at 16.4°C is heated and
slipped over an aluminum rod of diameter 10.01 cm at 16.4°C. Assume
the average coefficients of linear expansion are constant.
(a) To what temperature must the combination be cooled to
separate the two metals?
? °C
(b) What if the aluminum rod were 11.76 cm in diameter?
? °C

Air at 20°C (1 atm) is flowing over a 0.025-m diameter sphere with
a velocity of 3.5 m/s. If the surface temperature of the sphere is
constant at 80°C, determine the Reynolds number corresponding to
the sphere, its average drag co-efficient, and the heat transfer
rate from the sphere. The properties of air (1 atm) at the free
stream temperature T∞ = 20°C, ρ = 1.204
kg/m3, k = 0.02514
W/m∙K, μ = 1.825 × 10−5 kg/m∙s,
and Pr = 0.7309. At the surface
temperature Ts=
80°C: μs =...

The left end of a long glass rod 8.60 cm in diameter, with an
index of refraction 1.55, is ground and polished to a convex
hemispherical surface with a radius of 4.30 cm . An object in the
form of an arrow 1.53 mm tall, at right angles to the axis of the
rod, is located on the axis 23.5 cm to the left of the vertex of
the convex surface.
Find the height of the image of the arrow...

A copper pipe of diameter 3.5 cm and wall thickness 4 mm is used
in an antibiotic factory to convey hot water a distance of 60 m at
a flow rate of 20 L/s. The inlet temperature of the water is 90°C.
Due to heat losses to the atmosphere, the outlet water temperature
is 84°C. The ambient temperature is 25°C. The inside of the pipe is
covered with a layer of fouling with a fouling factor of 7500
W/m2°C.
What...

A straight rod of solid polymer is of length 1 m and diameter 10
mm. The polymer is linearly viscoelastic with a tensile creep
compliance given by:
D = 2- exp(-0.1t); Gpa^-1
Where t is in hours. The rod is suspended vertically and a mass
of 10 kg is hung from it for 10 hours. a) Find the change of length
of the rod. b) Identify the time domain of this property test
procedure.

A steel drill rod that is 10 mm in diameter and 20 cm long is
being heat treated in an oil bath. The 1050°C rod is quenched and
held at 700°C and then quenched a second time to 30°C. Calculate
the quantities of heat that must be removed at the two quenching
stages. Weight density of steel as ρw = 76 kN/m3 , The specific
heat of steel is c= 0.50 kJ/(kg . ºC).

9. A stainless steel tube having an outside diameter of 0.6 cm
and a wall thickness of 0.05 cm is to be insulated with a material
having a thermal conductivity of 0.065 W/mK. If the inner and outer
convective heat transfer coefficients are 5.9 W/m2K.
what will be the heat loss per meter of length for insulation
thicknesses of 0, 0.25, 0.5, 0.75, 1.00, and 1.25 cm if the inside
temperature is 95 C and the outside temperature is 10...

In (Figure 1), the rod moves with a speed of 1.6 m/s on rails
29.0 cm apart. The rod has a resistance of 2.1 Ω . The magnetic
field is 0.31 T , and the resistance of the U-shaped conductor is
26.0 Ω at a given instant.
Part A Calculate the induced emf
Part B Calculate the current in the U -shaped conductor.
Part C Calculate the external force needed to keep the rod's
velocity constant at that instant.

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