Ablock made of a certain material has a thickness of 20 cm and a thermal conductivity of 0.04 m c. at a particular instant in time the temperature distribution with x, the distance from the left surface of the block, is t =-100 x2 + 20 x, where x is in meter. calculate the heat flux at the left (x = 0) and right face of the block.

heat flux ( Q ) = 8 W/m³ uniform heat flux throughout the block

Explanation:

flat plate ecuation with uniform source:

∴ k = 0.04 W/mC;   L = 0.2 m

If T = - 100x² + 20x

⇒ dT / dx = - 200x + 20

⇒ d2T / dx² = - 200 = - Q / k

⇒ Q / k = 200

⇒ Q = 200 * 0.04 W/mC

⇒ Q = 8 W/m³

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