Consider the encased pipe of Problem 4.29, but now allow tor the difference between the mean temperature of the fluid, which changes along the pipe length, and that of the pipe. (a) For the prescribed values of k, D, w, h, and T ∞ and a pipe of length L = 1 00 m . what is the outlet temperature T m , o of water that enters the pipe at a temperature of T m , i = 90 °C and a how rate of m = 2 kg / s ? (b) What is the pressure drop of the water and the corresponding pump power requirement? (c) Subject to the constraint that the width of the duct is fixed at w = 0. 3 0 m , explore the effects of the flow rate and the pipe diameter on the outlet temperature.
Consider the encased pipe of Problem 4.29, but now allow tor the difference between the mean temperature of the fluid, which changes along the pipe length, and that of the pipe. (a) For the prescribed values of k, D, w, h, and T ∞ and a pipe of length L = 1 00 m . what is the outlet temperature T m , o of water that enters the pipe at a temperature of T m , i = 90 °C and a how rate of m = 2 kg / s ? (b) What is the pressure drop of the water and the corresponding pump power requirement? (c) Subject to the constraint that the width of the duct is fixed at w = 0. 3 0 m , explore the effects of the flow rate and the pipe diameter on the outlet temperature.
Solution Summary: The author calculates Remold's number for the type of flow as follows: Mass flow rate is stackreldotm=2kg/s, Outer
Consider the encased pipe of Problem 4.29, but now allow tor the difference between the mean temperature of the fluid, which changes along the pipe length, and that of the pipe.
(a) For the prescribed values of k, D, w, h, and
T
∞
and a pipe of length
L
=
1
00
m
. what is the outlet temperature
T
m
,
o
of water that enters the pipe at a temperature of
T
m
,
i
=
90
°C and a how rate of
m
=
2 kg
/
s
?
(b) What is the pressure drop of the water and the corresponding pump power requirement?
(c) Subject to the constraint that the width of the duct is fixed at
w
=
0.
3
0
m
, explore the effects of the flow rate and the pipe diameter on the outlet temperature.
Problem 3: Water at a temperature of 15 °C is flowing steadily in a 6 cm diameter, 25-meter long pipe at an average velocity of 6.0 m/sec. The flow is fully developed. The cross-section is circular. Determine the following for the following wall surface condition i.e. the wall is smooth plastic; a) The Reynolds number. State whether a laminar or turbulent flow is expected.b) The Darcy friction factor, ?, and then find the pressure drop over the length of the pipe.c) Find the corresponding head loss, and calculate the pressure drop over the length of pipe if the velocity is halved, to 3.0 m/sec for the smooth wall case.
Q.3 A firm produces frozen fruits and vegetables, and a venturimeter is used in this process.In a certain step of the process, the cherries are introduced to the cold air stream at -12oC with a 3 in. pipe connected vertically to the throat of the venturimeter. Venturimeter is connected to a pipe 4 in. in diameter. If the air velocity in the throat is 5 times the terminal velocity of the cherries and the ratio of throat/pipe diameter is 0.6, what should be the flow rate of air? Assume that the density of cherries is 1200 kg/m3 and the average diameters are 12 mm. What should be the lay-out of the pipeline between venturimeter and freeze-dryer to prevent the striking of the cherries to the walls? Is there any settling possibility of the cherries at the exit of the venturimeter?
Write legibly, provide manual step by step solution, and diagram for below given problem.
At an average temperature of 110°C, hot air flows through a 5m pipe with outside diameter of 80mm and pipe thickness of 1cm. The temperature of the tube along its entire length is 240°C. If heat transfer if 650 W, find the convective film coefficient, W/m² - C.
Heat and Mass Transfer: Fundamentals and Applications
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