Water flows at 0.900 m/s from a hot water heater, through a 450-kPa pressure regulator. The pressure in the pipe supplying an upstairs bathtub 3.70 m above the heater is 414-kPa.
What's the flow speed in this pipe?
What's the flow speed in this pipe?
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Hi! Let's try this and see what we get; using Bernoulli's Equation:
(1/2)pv² + pgh + P = constant
where:
---
p = density (usually we use rho for density)
P = pressure
h = height
g = acceleration due to gravity
v = flow speed
This means we can make a relation between the two points:
(1/2)pv1² + pgh1 + P1 = (1/2)pv2² + pgh2 + P2
Doing some algebra we can rearrange and solve for v2, the flow speed that we want:
v2 = sqrt [ v1² - 2 (gh + delta_P / p) ] ~ 0.47 m/s assuming all SI units etc
Hope that helps!
(1/2)pv² + pgh + P = constant
where:
---
p = density (usually we use rho for density)
P = pressure
h = height
g = acceleration due to gravity
v = flow speed
This means we can make a relation between the two points:
(1/2)pv1² + pgh1 + P1 = (1/2)pv2² + pgh2 + P2
Doing some algebra we can rearrange and solve for v2, the flow speed that we want:
v2 = sqrt [ v1² - 2 (gh + delta_P / p) ] ~ 0.47 m/s assuming all SI units etc
Hope that helps!