= Q1. A prismatic water tank with two inlet and two outlet pipes is shown below. Velocity listribution in pipe-1 is given by u.(r)-Um(1-r/R³) where r is the radial distance, R is the radius of the pipe and Um 0.5 m/s. Pipe-2 carries a mass flow rate of 9.42 kg/s out of the tank. Volumetric flow rate (discharge) in Pipe-3 is measured as 0.003 m³/s into the tank. Determine the rate of change of water level in the tank if the average velocity of outflow in Pipe-4 is 3 m/s. Horizontal dimensions of the tank are 2x1 m, R₁ = 0.1 m, R₂ R3 R4 -0.05 m.
= Q1. A prismatic water tank with two inlet and two outlet pipes is shown below. Velocity listribution in pipe-1 is given by u.(r)-Um(1-r/R³) where r is the radial distance, R is the radius of the pipe and Um 0.5 m/s. Pipe-2 carries a mass flow rate of 9.42 kg/s out of the tank. Volumetric flow rate (discharge) in Pipe-3 is measured as 0.003 m³/s into the tank. Determine the rate of change of water level in the tank if the average velocity of outflow in Pipe-4 is 3 m/s. Horizontal dimensions of the tank are 2x1 m, R₁ = 0.1 m, R₂ R3 R4 -0.05 m.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![Q1. A prismatie water tank with two inlet and two outlet pipes is shown below. Velocity
distribution in pipe-1 is given by u (r)=Um(1-r'/R) where r is the radial distance, R is the radius
of the pipe and Um = 0.5 m/s. Pipe-2 carries a mass flow rate of 9.42 kg/s out of the tank.
Volumetric flow rate (discharge) in Pipe-3 is measured as 0.003 m/s into the tank. Determine
the rate of change of water level in the tank if the average velocity of outflow in Pipe-4 is 3 m/s.
Horizontal dimensions of the tank are 2x1 m, Rj = 0.1 m, R2 = R3 = R4 = 0.05 m.
%3D
!!
2 m
----
Pipe-3
h(t)
Pipe-4
Pipe-2
R
Pipe-1
u(r)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F91868d1c-5d38-4cd0-94b7-fc9caf0f642a%2F7414735c-fe83-421b-bddc-a210afd31cd9%2Fgcz34ag_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q1. A prismatie water tank with two inlet and two outlet pipes is shown below. Velocity
distribution in pipe-1 is given by u (r)=Um(1-r'/R) where r is the radial distance, R is the radius
of the pipe and Um = 0.5 m/s. Pipe-2 carries a mass flow rate of 9.42 kg/s out of the tank.
Volumetric flow rate (discharge) in Pipe-3 is measured as 0.003 m/s into the tank. Determine
the rate of change of water level in the tank if the average velocity of outflow in Pipe-4 is 3 m/s.
Horizontal dimensions of the tank are 2x1 m, Rj = 0.1 m, R2 = R3 = R4 = 0.05 m.
%3D
!!
2 m
----
Pipe-3
h(t)
Pipe-4
Pipe-2
R
Pipe-1
u(r)
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