Water (modeled as an incompressible substance) flows steadily through a circular pipe oftotal length ? = 10 m. The mass flow rate through the pipe is ?̇ = 2 kg s⁄ and the watertemperature drops by 25°C as it moves through the pipe. Pressure losses within the pipeare negligible, as are any changes in potential and kinetic energy of the flowing fluid.a) Determine the rate of energy loss from the water as it moves through the pipe. Youmay treat the water as having a constant specific heat (? = 4.18 kJ kg-K⁄ ). Recall thatfor an incompressible substance Δℎ = Δ? + ?Δ?, where Δ? = ∫ ? ?? and ? is thespecific volume of the substance. Your solution should start with an energy balanceon an appropriately defined system/control volume.b) The air surrounding the pipe is at ?∞ = 25°C and the convection coefficient at theouter surface of the pipe is ℎ = 15 W m2-K⁄ . It is also known that the surfaceemissivity of the pipe is ? = 0.3 and the walls of the room where the pipe is locatedare at ?sur = 20°C. If the outer surface of the pipe has an approximately constantsurface temperature (?? = 50°C), calculate the outer diameter of the pipe (??).c) The pipe wall thickness is ? = 110 ?0. Calculate the heat flux at the inner and outersurfaces of the pipe wall. Water (modeled as an incompressible substance) flows steadily through a circular pipe oftotal length L = 10 m. The mass flow rate through the pipe is m = 2 kg/s and the watertemperature drops by 25°C as it moves through the pipe. Pressure losses within the pipeare negligible, as are any changes in potential and kinetic energy of the flowing fluid.a) Determine the rate of energy loss from the water as it moves through the pipe. Youmay treat the water as having a constant specific heat (c = 4.18 kJ/kg-K). Recall thatfor an incompressible substance Ah = Au + vAP, where Au = f c dT and v is thespecific volume of the substance. Your solution should start with an energy balanceon an appropriately defined system/control volume.b) The air surrounding the pipe is at T = 25°C and the convection coefficient at theouter surface of the pipe is h = 15 W/m²-K. It is also known that the surfaceemissivity of the pipe is ε = 0.3 and the walls of the room where the pipe is locatedare at Tsur = 20°C. If the outer surface of the pipe has an approximately constantsurface temperature (T, = 50°C), calculate the outer diameter of the pipe (D₂).c) The pipe wall thickness is t = Do. Calculate the heat flux at the inner and outersurfaces of the pipe wall.10

Total length of the circular pipe, L=10 mMass flow rate through the pipe, m=2 kg/sTemperature drop…

Water (modeled as an incompressible substance) flows steadily through a circular pipe of total length L = 10 m. The mass flow rate through the pipe is m = 2 kg/s and the water temperature drops by 25°C as it moves through the pipe. Pressure losses within the pipe are negligible, as are any changes in potential and kinetic energy of the flowing fluid. a) Determine the rate of energy loss from the water as it moves through the pipe. You may treat the water as having a constant specific heat (c = 4.18 kJ/kg-K). Recall that for an incompressible substance Ah = Au + vaP, where Au = fc dT and v is the specific volume of the substance. Your solution should start with an energy balance on an appropriately defined system/control volume. b) The air surrounding the pipe is at T = 25°C and the convection coefficient at the outer surface of the pipe is h = 15 W/m²-K. It is also known that the surface emissivity of the pipe is = 0.3 and the walls of the room where the pipe is located are at Tsur = 20°C. If the outer surface of the pipe has an approximately constant surface temperature (7s = 50°C), calculate the outer diameter of the pipe (Do). ε c) The pipe wall thickness is t = D. Calculate the heat flux at the inner and outer surfaces of the pipe wall. 10

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Water (modeled as an incompressible substance) flows steadily through a circular pipe of
total length ? = 10 m. The mass flow rate through the pipe is ?̇ = 2 kg s⁄ and the water
temperature drops by 25°C as it moves through the pipe. Pressure losses within the pipe
are negligible, as are any changes in potential and kinetic energy of the flowing fluid.
a) Determine the rate of energy loss from the water as it moves through the pipe. You
may treat the water as having a constant specific heat (? = 4.18 kJ kg-K⁄ ). Recall that
for an incompressible substance Δℎ = Δ? + ?Δ?, where Δ? = ∫ ? ?? and ? is the
specific volume of the substance. Your solution should start with an energy balance
on an appropriately defined system/control volume.
b) The air surrounding the pipe is at ?∞ = 25°C and the convection coefficient at the
outer surface of the pipe is ℎ = 15 W m2-K⁄ . It is also known that the surface
emissivity of the pipe is ? = 0.3 and the walls of the room where the pipe is located
are at ?sur = 20°C. If the outer surface of the pipe has an approximately constant
surface temperature (?? = 50°C), calculate the outer diameter of the pipe (??).
c) The pipe wall thickness is ? = 1
10 ?0. Calculate the heat flux at the inner and outer
surfaces of the pipe wall.

Water (modeled as an incompressible substance) flows steadily through a circular pipe of
total length L = 10 m. The mass flow rate through the pipe is m = 2 kg/s and the water
temperature drops by 25°C as it moves through the pipe. Pressure losses within the pipe
are negligible, as are any changes in potential and kinetic energy of the flowing fluid.
a) Determine the rate of energy loss from the water as it moves through the pipe. You
may treat the water as having a constant specific heat (c = 4.18 kJ/kg-K). Recall that
for an incompressible substance Ah = Au + vAP, where Au = f c dT and v is the
specific volume of the substance. Your solution should start with an energy balance
on an appropriately defined system/control volume.
b) The air surrounding the pipe is at T = 25°C and the convection coefficient at the
outer surface of the pipe is h = 15 W/m²-K. It is also known that the surface
emissivity of the pipe is ε = 0.3 and the walls of the room where the pipe is located
are at Tsur = 20°C. If the outer surface of the pipe has an approximately constant
surface temperature (T, = 50°C), calculate the outer diameter of the pipe (D₂).
c) The pipe wall thickness is t = Do. Calculate the heat flux at the inner and outer
surfaces of the pipe wall.
10

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