A pipe is used for transporting boiling water in which the inner surface is at 100°C. The pipe is situated where the ambient temperature is 20°C and the convection heat transfer coefficient is 50 W/m 2 K. The pipe has a wall thicess of 3 mm and an inner diameter of 25 mm, and it has a variable thermal conductivity given as ( k ( T ) = k 0 (1+ β T), where k 0 = 1.5 W/m .K, β = 0.003 K − 1 , and and T is in K. Determine the outer sufface temperature of the pipe.
A pipe is used for transporting boiling water in which the inner surface is at 100°C. The pipe is situated where the ambient temperature is 20°C and the convection heat transfer coefficient is 50 W/m 2 K. The pipe has a wall thicess of 3 mm and an inner diameter of 25 mm, and it has a variable thermal conductivity given as ( k ( T ) = k 0 (1+ β T), where k 0 = 1.5 W/m .K, β = 0.003 K − 1 , and and T is in K. Determine the outer sufface temperature of the pipe.
Solution Summary: The author calculates the rate of heat transfer through a cylindrical layer having variable thermal conductivity.
A pipe is used for transporting boiling water in which the inner surface is at 100°C. The pipe is situated where the ambient temperature is 20°C and the convection heat transfer coefficient is 50 W/m2 K. The pipe has a wall thicess of 3 mm and an inner diameter of 25 mm, and it has a variable thermal conductivity given as
(
k
(
T
)
=
k
0
(1+
β
T), where
k
0
=
1.5
W/m
.K,
β
=
0.003
K
−
1
,
and and T is in K. Determine the outer sufface temperature of the pipe.
Find the equivalent mass of the rocker arm assembly with respect to the x coordinate.
k₁
mi
m2
k₁
2. Figure below shows a U-tube manometer open at both ends and containing a column of liquid
mercury of length l and specific weight y. Considering a small displacement x of the manometer
meniscus from its equilibrium position (or datum), determine the equivalent spring constant associated
with the restoring force.
Datum
Area, A
1. The consequences of a head-on collision of two automobiles can be studied by considering the
impact of the automobile on a barrier, as shown in figure below. Construct a mathematical model (i.e.,
draw the diagram) by considering the masses of the automobile body, engine, transmission, and
suspension and the elasticity of the bumpers, radiator, sheet metal body, driveline, and engine
mounts.
Chapter 2 Solutions
Heat and Mass Transfer: Fundamentals and Applications
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