Two circular pipes are located around a small water container as shown in the figure. Q = 0.001 m³/s D; = 10 cm D = 5 cm Water V = 0.5 m/s The flow entering the container in a 5 em diameter pipe has 0.5 m/s uniform velocity. Water is supplied steadily from the top surface of the container with a volume flow rate 0.001 m/s. Flow exits the container in a 10 cm diameter pipe with a non-uniform velocity distribution, which is: V =V where r, D, Assume a steady incompressible flow where water level in the container remains the same. a) Determine the water volume flow rate leaving the container b) Determine the maximum velocity (Vmaz)

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Chapter7: Forced Convection Inside Tubes And Ducts
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Problem 7.27P
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Fluid Mechanics I

External Problem 1: Conservation of mass
Two circular pipes are located around a small water container as shown in the figure.
Q=0.001 m³ls
D; = 10 cm
D; = 5 cm
Water
V1 = 0.5 m/s
The flow entering the container in a 5 cm diameter pipe has 0.5 m/s uniform velocity. Water is
supplied steadily from the top surface of the container with a volume flow rate 0.001 m³/s. Flow
exits the container in a 10 cm diameter pipe with a non-uniform velocity distribution, which is:
V =Vma
D,
where r,
2
Assume a steady incompressible flow where water level in the container remains the same.
a) Determine the water volume flow rate leaving the container
b) Determine the maximum velocity (Vmaz)
Transcribed Image Text:External Problem 1: Conservation of mass Two circular pipes are located around a small water container as shown in the figure. Q=0.001 m³ls D; = 10 cm D; = 5 cm Water V1 = 0.5 m/s The flow entering the container in a 5 cm diameter pipe has 0.5 m/s uniform velocity. Water is supplied steadily from the top surface of the container with a volume flow rate 0.001 m³/s. Flow exits the container in a 10 cm diameter pipe with a non-uniform velocity distribution, which is: V =Vma D, where r, 2 Assume a steady incompressible flow where water level in the container remains the same. a) Determine the water volume flow rate leaving the container b) Determine the maximum velocity (Vmaz)
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