Problem-1 Water is pumped from the large tank through a uniform diameter pipe (d = 3 in.) and exits as a free jet (refer figure-a). The plot of the flowrate (Q) versus pump-head (hp) is a straight-line graph that passes through points (3, 16) as shown in figure-b. If the pipe friction head loss is, h = 7V:/2g, where V is the average fluid velocity in the pipe, find a) the equation that relates hp and Q; b) flowrate and c) If the pump is 75% efficient, what horsepower is needed to drive it? Assume steady, incompressible flow. Ignore kinetic energy correction factor (a).

Problem-1 Water is pumped from the large tank through a uniform diameter pipe (d = 3 in.) and exits as a free jet (refer figure-a). The plot of the flowrate (Q) versus pump-head (hp) is a straight-line graph that passes through points (3, 16) as shown in figure-b. If the pipe friction head loss is, h = 7V:/2g, where V is the average fluid velocity in the pipe, find a) the equation that relates hp and Q; b) flowrate and c) If the pump is 75% efficient, what horsepower is needed to drive it? Assume steady, incompressible flow. Ignore kinetic energy correction factor (a).

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Storm Sewers and Detention

The storm drains system transports rainwater or stormwater and other runoff from roads, parking lots, and roof downpipes directly to nearby creeks, rivers, or the sea without any treatment.

Question

Use the following given values to solve problems, unless otherwise stated.
γ_water = 9790 N/m³ = 62.4 lbf/ft³; g = 9.81 m/s² = 32.2 ft/s²; 1 hp = 550 lbf-ft/s = 746 Watts

**Problem-1**
Water is pumped from the large tank through a uniform diameter pipe (d = 3 in.) and exits as a free jet (refer to figure-a). The plot of the flowrate (Q) versus pump-head (h_p) is a straight-line graph that passes through points (3, 16) as shown in figure-b. If the pipe friction head loss is, h_f = 7V²/2g, where V is the average fluid velocity in the pipe, find:
a) the equation that relates h_p and Q;
b) flowrate; and
c) If the pump is 75% efficient, what horsepower is needed to drive it? Assume steady, incompressible flow. Ignore kinetic energy correction factor (α).

**Diagram Explanation:**
- **Figure (a):** Shows the setup of the problem. A pump is connected to a large tank and water is pumped through a pipe with uniform diameter, exiting as a free jet.
- **Figure (b):** A graph plotting pump-head (h_p) in feet (vertical axis) against flowrate (Q) in cubic feet per second (horizontal axis). It’s a straight line passing through the points (0, 16) and (3, 0), indicating a linear relationship between h_p and Q.

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