A metal spherical tank is filled with chemicals undergoing an exothermic reaction. The reaction provides a uniform heat flux on the inner surface of the tank. The tank has an inner diameter of 5 m, and its wall thickness is 10 mm. The tank vall has a variable thermal conductivity given as ( k ( T ) = k 0 (1+ β T), where k 0 = 9.1 W/m .K, β = 0.0018 K − 1 , and T is in K. The area surrounding the tank has an ambient temperature of 15 °C, the tank’s outer surface experiences convection heat transfer with a coefficient of 80 W/m 2 ⋅K. Determine the heat flux on the tank’s inner surface if the inner surface temperature is 120°C.
A metal spherical tank is filled with chemicals undergoing an exothermic reaction. The reaction provides a uniform heat flux on the inner surface of the tank. The tank has an inner diameter of 5 m, and its wall thickness is 10 mm. The tank vall has a variable thermal conductivity given as ( k ( T ) = k 0 (1+ β T), where k 0 = 9.1 W/m .K, β = 0.0018 K − 1 , and T is in K. The area surrounding the tank has an ambient temperature of 15 °C, the tank’s outer surface experiences convection heat transfer with a coefficient of 80 W/m 2 ⋅K. Determine the heat flux on the tank’s inner surface if the inner surface temperature is 120°C.
Solution Summary: The author explains the rate of heat transfer at the tank’s outer surface.
A metal spherical tank is filled with chemicals undergoing an exothermic reaction. The reaction provides a uniform heat flux on the inner surface of the tank. The tank has an inner diameter of 5 m, and its wall thickness is 10 mm. The tank vall has a variable thermal conductivity given as
(
k
(
T
)
=
k
0
(1+
β
T), where
k
0
=
9.1
W/m
.K,
β
=
0.0018
K
−
1
,
and T is in K. The area surrounding the tank has an ambient temperature of 15 °C, the tank’s outer surface experiences convection heat transfer with a coefficient of 80 W/m2 ⋅K. Determine the heat flux on the tank’s inner surface if the inner surface temperature is 120°C.
Q2-Consider a two layer composite wall of copper and Teflon as
shown below. The copper has a thickness of 10cm but the
thickness of the Teflon is to be determined. The temperature on
the left boundary is equal to 200 C and on the right boundary 25C.
Determine the thickness of the Teflon layer so that the heat flux
is equal to 200W/m2.
L1
L2
T = 200C
To =25 C
L = 01m
%3D
TA
%3D
TB
* = 200
coper
télon
Tc
A silicon wafer with thickness of 925 µm is being heated with a uniform heat flux at the lower surface. The silicon wafer has a thermal conductivity that varies with temperature and can be expressed as k(T) = (a + bT + cT2) W/m·K, where a = 450, b = -1.29, and c = 0.00111. To avoid warping, the temperature difference across the wafer thickness cannot exceed 2°C. If the upper surface of the silicon wafer is at a uniform temperature of 600 K, determine the maximum allowable heat flux. (Round your answer up to 2 decimal places.)
Chapter 2 Solutions
Heat and Mass Transfer: Fundamentals and Applications
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