Question

The temperature distribution across a wall 1m thick at a certain instant of time is given byT(x) = 900-300x-50x 2 where T is in 0 C and x is in meter. The uniform heat generation of

1000W/m3 is present in wall of area 10m2 having the properties of p= 1600kg/m3

, k=

40W/m0 K, C= 4 kJ/kg-K .i)Determine the rate of heat transfer entering the wall (x=0) and ​

Answer 1

Answer:

The temperature distribution across a wall of 1 m thick at a certain instant of time is given as T(x) = a+bx+cx2 where T is in degrees Celsuis and x is in meters, while a = 800 oC, b = -350 oC/m, and c = -60 oC/m2 . A uniform heat generation, = 1000 W/m3, is present in the wall of area 10 m2having the properties = 1600 kg/m3, k = 40 W/m.K, and Cp = 4 kJ/kg.K.

• Determine the rate of heat transfer entering the wall ( x = 0) and leaving the wall ( x = 1m)

• Determine the rate of change of energy storage in the wall

• Determine the time rate of temperature change at x = 0.25 and 0.5 m

mark me as brainlist!