A storage tank consists of a cylindrical section that has a length and inner diameter of L = 2 m and D i = 1 m, respectively, and two hemispherical end sections. The tank is constructed from 20-mm-thick glass (Pyrex) and is exposed to ambient air for which the temperature is 300K and the convection coefficient is 10 W/m 2 ⋅ K . The tank is used to store heated oil. which maintains the inner surface at a temperature of 400 K. Determine the electrical power that must be supplied to a heater submerged in the oil if the prescribed conditions are to be maintained. Radiation effects may be neglected, and the Pyrex may be assumed to have a thermal conductivity of 1.4 W/m ⋅ K .
A storage tank consists of a cylindrical section that has a length and inner diameter of L = 2 m and D i = 1 m, respectively, and two hemispherical end sections. The tank is constructed from 20-mm-thick glass (Pyrex) and is exposed to ambient air for which the temperature is 300K and the convection coefficient is 10 W/m 2 ⋅ K . The tank is used to store heated oil. which maintains the inner surface at a temperature of 400 K. Determine the electrical power that must be supplied to a heater submerged in the oil if the prescribed conditions are to be maintained. Radiation effects may be neglected, and the Pyrex may be assumed to have a thermal conductivity of 1.4 W/m ⋅ K .
Solution Summary: The author explains the electric power that must be supplied to a heater submerged in the oil maintaining the prescribed conditions.
A storage tank consists of a cylindrical section that has a length and inner diameter of
L
=
2
m
and
D
i
=
1
m,
respectively, and two hemispherical end sections. The tank is constructed from 20-mm-thick glass (Pyrex) and is exposed to ambient air for which the temperature is 300K and the convection coefficient is
10
W/m
2
⋅
K
.
The tank is used to store heated oil. which maintains the inner surface at a temperature of 400 K. Determine the electrical power that must be supplied to a heater submerged in the oil if the prescribed conditions are to be maintained. Radiation effects may be neglected, and the Pyrex may be assumed to have a thermal conductivity of
1.4
W/m
⋅
K
.
The rectangular wall of a furnace consists of 3in. fire clay brick surrounded by 0.25in. of steel on the outside. There are six 0.25in.diameter mild steel bolts per square foot connecting the steel and the brick. The furnace is surrounded by 70°F air (with a film coefficient of 1.65 Btu/hr-ft²-°F), while the inner surface of the brick is maintained at a constant 1000°F. Determine the heat flux per square foot through this wall?
To maximize production and minimize pumping costs, crude oil is heated to reduce its viscosity during transportation from a
production field.
(1) Consider a pipe-in-pipe configuration consisting of concentric steel tubes with an intervening insulating material. The inner tube is
used to transport warm crude oil through cold ocean water. The inner steel pipe (k, = 45 W/m-K) has an inside diameter of D;1 =
150 mm and wall thickness t; = 20 mm while the outer steel pipe has an inside diameter of D; 2 = 250 mm and wall thickness
to = tj. Determine the maximum allowable crude oil temperature to ensure the polyurethane foam insulation (k,
between the two pipes does not exceed its maximum service temperature of T, max = 70°C. The ocean water is at T , = -5°C and
provides an external convection heat transfer coefficient of h, = 500 W/m2-K. The convection coefficient associated with the
flowing crude oil is h¡ = 450 W/m2-K.
= 0.03 W/m-K)
(2) It is proposed to enhance the performance of the…
To maximize production and minimize pumping costs, crude oil is heated to reduce its viscosity during transportation
from a production field.
(1) Consider a pipe-in-pipe configuration consisting of concentric steel tubes with an intervening insulating material. The
inner tube is used to transport warm crude oil through cold ocean water. The inner steel pipe (k, = 35 W/m-K) has an
inside diameter of D; 1
= 150 mm and wall thickness t;
= 20 mm while the outer steel pipe has an inside diameter of
= 250 mm and wall thickness to = tj. Determine the maximum allowable crude oil temperature to ensure the
Di,2
= 0.0425 W/m-K) between the two pipes does not exceed its maximum service
= -5°C and provides an external convection heat transfer
polyurethane foam insulation (kp
temperature of T,
р, max
= 70°C. The ocean water is at T
o, 0
coefficient of ho
500 W/m2.K. The convection coefficient associated with the flowing crude oil is h;
= 450 W/m2-K.
(2) It is proposed to enhance the performance of…
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