Compute the Reynolds number of water pw 1000 kg/m³, w = 1 × 10-³kg/(m.s) flow inside a channel of diameter D = 1m at 1.644 m/s. =
Compute the Reynolds number of water pw 1000 kg/m³, w = 1 × 10-³kg/(m.s) flow inside a channel of diameter D = 1m at 1.644 m/s. =
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![**Problem Statement:**
Compute the Reynolds number of water \( \rho_w = 1000 \, \text{kg/m}^3 \), \( \mu_w = 1 \times 10^{-3} \, \text{kg/(m} \cdot \text{s)} \) flow inside a channel of diameter \( D = 1 \, \text{m} \) at \( 1.644 \, \text{m/s} \).
**Requirements:**
To calculate the Reynolds number (Re) for this scenario, use the following formula:
\[ \text{Re} = \frac{\rho V D}{\mu} \]
Where:
- \( \rho \) is the density of the fluid (\( \text{kg/m}^3 \))
- \( V \) is the velocity of the fluid (\( \text{m/s} \))
- \( D \) is the diameter of the pipe or channel (\( \text{m} \))
- \( \mu \) is the dynamic viscosity of the fluid (\( \text{kg/(m} \cdot \text{s)} \))](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a1a8c69-ac20-486b-9f67-8f66504c5494%2F14ac7604-feea-46d6-ab74-5d478ffec94e%2F0kbmsd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Compute the Reynolds number of water \( \rho_w = 1000 \, \text{kg/m}^3 \), \( \mu_w = 1 \times 10^{-3} \, \text{kg/(m} \cdot \text{s)} \) flow inside a channel of diameter \( D = 1 \, \text{m} \) at \( 1.644 \, \text{m/s} \).
**Requirements:**
To calculate the Reynolds number (Re) for this scenario, use the following formula:
\[ \text{Re} = \frac{\rho V D}{\mu} \]
Where:
- \( \rho \) is the density of the fluid (\( \text{kg/m}^3 \))
- \( V \) is the velocity of the fluid (\( \text{m/s} \))
- \( D \) is the diameter of the pipe or channel (\( \text{m} \))
- \( \mu \) is the dynamic viscosity of the fluid (\( \text{kg/(m} \cdot \text{s)} \))
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