Water flows in a 5-ft-wide rectangular channel with a flowrate of Q = 30 ft³/s and an upstream depth of y1 = 2.5 ft as shown in the figure below. Determine (a) the flow depth and (b) the surface elevation at section (2). Assume h2 = 0.2 ft. Va (2) (1) Concepts Bernoulli's equation applies along a streamline to frictionless flow Volume flowrate is constant for steady, incompressible flow There are two possible depths when the flow area changes in an open channel The Froude number indicates whether the flow is subcritical, critical, or supercritical (a) What is the velocity at section 1? i ft/s (b) What is the total energy of the flow at section 1, with the elevation of the bottom of the channel at section 1 as reference? ft (c) What is the Froude number of the flow at section 1? i
Water flows in a 5-ft-wide rectangular channel with a flowrate of Q = 30 ft³/s and an upstream depth of y1 = 2.5 ft as shown in the figure below. Determine (a) the flow depth and (b) the surface elevation at section (2). Assume h2 = 0.2 ft. Va (2) (1) Concepts Bernoulli's equation applies along a streamline to frictionless flow Volume flowrate is constant for steady, incompressible flow There are two possible depths when the flow area changes in an open channel The Froude number indicates whether the flow is subcritical, critical, or supercritical (a) What is the velocity at section 1? i ft/s (b) What is the total energy of the flow at section 1, with the elevation of the bottom of the channel at section 1 as reference? ft (c) What is the Froude number of the flow at section 1? i
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Water flows in a 5-ft-wide rectangular channel with a flowrate of Q = 30 ft/s and an upstream depth of y1 = 2.5 ft as shown in the
figure below. Determine (a) the flow depth and (b) the surface elevation at section (2).
Assume h2 = 0.2 ft.
h,
(2)
(1)
Concepts
Bernoulli's equation applies along a streamline to frictionless flow
Volume flowrate is constant for steady, incompressible flow
There are two possible depths when the flow area changes in an open channel
The Froude number indicates whether the flow is subcritical, critical, or supercritical
(a) What is the velocity at section 1?
i
ft/s
(b) What is the total energy of the flow at section 1, with the elevation of the bottom of the channel at section 1 as reference?
ft
(c) What is the Froude number of the flow at section 1? i
(d) Is the flow at section 1 subcritical, critical, or supercritical?
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