For the design of novel type of nuclear power plant, it is necessary to determine the temperature distribution in a large slab-type nuclear fuel element. Volumetric heat is generated uniformly in the fuel element at the rate of 2*107 W/m3 . This slab fuel is insulated on one side, while on other side it is covered by a stainless steel cladding of 0.3 cm thickness. Heat is removed from the fuel slab by a liquid at 2000C that flows on the other side of the steel cladding with the convective heat transfer coefficient of 10,000 W/(m2 K). Determine the maximum temperature in the fuel element and sketch the temperature distribution.

GIVEN



FIND

Maximum temperature in fuel element

Sketch temperature distribution.

ASSUMPTIONS

• 1 Dimensional steady state heat transfer

• Constant properties.

• Uniform heat generation.

• Negligible contact resistance between surfaces.

SKETCH


Heat transfer equation in 1 dimension with steady state and uniform heat generation is given by



Integrating twice we get



Applying boundary conditions



2. Using energy conservation equation



Substituting C1 and C2 in the integrated differential equation we get



Applying this condition in differential equation above we get



Substituting values to get Tmax we get

Physics & Space Science

You might also like to view...

In vacuum, the components of an EM wave are and 0. What ?

a.
b.
c.
d.
e. More information is needed.

Physics & Space Science

Two children start at one end of a street, the origin, run to the other end, then head back. On the way back Joan is ahead of Mike. Which statement is correct about the distances run and the displacements from the origin?

a. Joan has run a greater distance and her displacement is greater than Mike's. b. Mike has run a greater distance and his displacement is greater than Joan's. c. Joan has run a greater distance, but her displacement is less than Mike's. d. Mike has run a greater distance, but his displacement is less than Joan's. e. Mike has run a shorter distance, and his displacement is less than Joan's.

Physics & Space Science

The temperature of the Sun's core is about 20,000 K

Indicate whether the statement is true or false

Physics & Space Science

A sunbather on the clear day is receiving about 500 watts of solar power

Indicate whether the statement is true or false

Physics & Space Science