In an experiment aiming to measure the pipe roughness (e), pressure decrease of 40 kPa was measured across a pipe length of 1 m. The straight pipe has a constant inside diameter of 0.1 m. If the velocity of water (specific weight 9810 N/m3; kinematic viscosity: 1 x 10-6 m2/s) was 1 m/s, what is the absolute roughness of this pipe material? Moody Diagram 0.1 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.015 0.01 Laminar Flow Material Concrete, coarse Concrete, new smooth Drawn tubing Glas, Plastic Perpex Iron, cast Sewers, old Steel mortar lined Steel, rusted lied Steel, structural or forged Water mains, old 10³ O 0.050 mm O 0.025 mm O 0.500 mm HUF SEE Transition Region O 0.100 mm e (mm) 0.25 0.025 0.0025 0.0025 0.15 30 0.1 0.5 0.025 1.0 104 Complete Turbulence Friction Factor AP. 106 105 Reynolds Number, Re evd H Smooth Pipe 107 0.05 0.04 0.03 0.02 0.015 0.01 0.005 0.002 0.001 5x10-48 2x10-4 10-4 5x10-5 10-5 5x10-6 10-6 Relative Pipe Roughness 10%

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Transcription for Educational Website**

**Problem Statement:**
In an experiment aiming to measure the pipe roughness (ε), a pressure decrease of 40 kPa was measured across a pipe length of 1 m. The straight pipe has a constant inside diameter of 0.1 m. If the velocity of water (specific weight 9810 N/m³; kinematic viscosity: 1 x 10⁻⁶ m²/s) was 1 m/s, what is the absolute roughness of this pipe material?

**Diagram Explanation:**

The **Moody Diagram** included in the image is used to determine the friction factor in pipes for different flow conditions. 

- **Axes:**
  - The horizontal axis represents the Reynolds Number (Re), ranging from 10³ to 10⁸.
  - The vertical axis on the left is the Friction Factor, ranging from 0.01 to 0.1.
  - The vertical axis on the right is the Relative Pipe Roughness (ε/d), ranging from 5 x 10⁻⁶ to 0.05.

- **Curves:**
  - The curves on the diagram show the relationship between the Friction Factor and the Reynolds Number for different values of Relative Pipe Roughness.
  - The chart distinguishes between different flow regimes: Laminar Flow, Transition Region, and Complete Turbulence.

- **Materials Section:**
  - A table lists materials and their typical absolute roughness values (ε) in millimeters (mm):
    - Concrete, cast cement: 0.5 mm
    - Concrete, new smooth: 0.25 mm
    - Drawn Tubing: 0.0015 mm
    - Glass, Plastic Pipe: 0 mm
    - Steel, rusted: 0.15 mm
    - Steel, rusted old: 3 mm
    - Steel, encrusted with limestone: 1.5 mm
    - Steel, rusted or forged: 0.45 mm
    - Water mains, old: 3 mm

**Answer Options (Multiple Choice):**
- ○ 0.050 mm
- ○ 0.025 mm
- ○ 0.500 mm
- ○ 0.100 mm

The reader is expected to use the information provided in the problem statement and the Moody Diagram to calculate the absolute roughness of the pipe material.
Transcribed Image Text:**Transcription for Educational Website** **Problem Statement:** In an experiment aiming to measure the pipe roughness (ε), a pressure decrease of 40 kPa was measured across a pipe length of 1 m. The straight pipe has a constant inside diameter of 0.1 m. If the velocity of water (specific weight 9810 N/m³; kinematic viscosity: 1 x 10⁻⁶ m²/s) was 1 m/s, what is the absolute roughness of this pipe material? **Diagram Explanation:** The **Moody Diagram** included in the image is used to determine the friction factor in pipes for different flow conditions. - **Axes:** - The horizontal axis represents the Reynolds Number (Re), ranging from 10³ to 10⁸. - The vertical axis on the left is the Friction Factor, ranging from 0.01 to 0.1. - The vertical axis on the right is the Relative Pipe Roughness (ε/d), ranging from 5 x 10⁻⁶ to 0.05. - **Curves:** - The curves on the diagram show the relationship between the Friction Factor and the Reynolds Number for different values of Relative Pipe Roughness. - The chart distinguishes between different flow regimes: Laminar Flow, Transition Region, and Complete Turbulence. - **Materials Section:** - A table lists materials and their typical absolute roughness values (ε) in millimeters (mm): - Concrete, cast cement: 0.5 mm - Concrete, new smooth: 0.25 mm - Drawn Tubing: 0.0015 mm - Glass, Plastic Pipe: 0 mm - Steel, rusted: 0.15 mm - Steel, rusted old: 3 mm - Steel, encrusted with limestone: 1.5 mm - Steel, rusted or forged: 0.45 mm - Water mains, old: 3 mm **Answer Options (Multiple Choice):** - ○ 0.050 mm - ○ 0.025 mm - ○ 0.500 mm - ○ 0.100 mm The reader is expected to use the information provided in the problem statement and the Moody Diagram to calculate the absolute roughness of the pipe material.
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