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.
2. A single crystal of aluminum is oriented for a tensile test such that its slip plane normal makes an angle of 28.1° with the tensile axis. Three possible slip directions make angles of 62.4°, 72.0°, and 81.1° with the same tensile axis. (a) Which of these three slip directions is most favored? (b) If plastic deformation begins at a tensile stress of σ x = 1.95 MPa (280 psi), determine the critical resolved shear stress for aluminium. (c) If this single crystalspecimen is loaded under the new stress state: σ x =1.2 MPa σ y = -0.8 MPa, and τ xy = 0.6 MPa, howmuch is the resolve the shear stress along the most favored slip direction?
Please explain how to do each part and tell me if my drawing is correct. thank you
4. Determine which of the following flow fields represent a possible
incompressible flow?
(a) u= x²+2y+z; v=x-2y+z;w= -2xy + y² + 2z
a
(b) V=U cose
U coso 1 (9)
[1-9]
Usino |1 (4)]
[+]
V=-Usin 1+1
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