**Determining Flow Regimes for Gasoline in a Pipe****Problem:**Evaluate whether the flow of gasoline at 20°C through an 8-cm-diameter pipe with a velocity of 4 mm/sec is laminar, transitional, or turbulent.**Flow Categories:**- **a.** Turbulent- **b.** Between Laminar and Transitional- **c.** Laminar- **d.** Cannot determine- **e.** TransitionalTo determine the flow regime (laminar, transitional, or turbulent), it is essential to calculate the Reynolds number \(Re\). The flow type can generally be identified using the following Reynolds number ranges:- Laminar Flow: \(Re < 2000\)- Transitional Flow: \(2000 \leq Re \leq 4000\)- Turbulent Flow: \(Re > 4000\)The Reynolds number is calculated using the formula:\[ Re = \frac{\rho v D}{\mu} \]where:- \(\rho\) is the density of the fluid (kg/m³)- \(v\) is the velocity of the fluid (m/s)- \(D\) is the diameter of the pipe (m)- \(\mu\) is the dynamic viscosity of the fluid (Pa·s or N·s/m²)Given:- Velocity, \( v = 4 \text{ mm/sec} = 0.004 \text{ m/sec} \)- Diameter, \( D = 8 \text{ cm} = 0.08 \text{ m} \)Information on the specific density (\(\rho\)) and dynamic viscosity (\(\mu\)) of gasoline at 20°C would be required to complete the calculations. Without these values, the flow regime cannot be precisely determined.Feel free to refer to fluid mechanics resources to find the necessary properties of gasoline at 20°C to proceed with the Reynolds number calculation.

Temperature=20°c Diameter =.008 m Velocity=.0004m/s Kinematic viscosity=6×10^(-7) m²/s at 20°c

A gasoline at 20°C flows through an 8-cm-diameter pipe with 4 mm/sec velocity. Determine whether the flow is laminar, transitional or turbulent. a. Turbulent O b. Between Laminar and Transitional c. Laminar O d. Can not determine e. Transitional

A gasoline at 20°C flows through an 8-cm-diameter pipe with 4 mm/sec velocity. Determine whether the flow is laminar, transitional or turbulent. a. Turbulent O b. Between Laminar and Transitional c. Laminar O d. Can not determine e. Transitional

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Problem 1.1MA

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Question

**Determining Flow Regimes for Gasoline in a Pipe**

**Problem:**
Evaluate whether the flow of gasoline at 20°C through an 8-cm-diameter pipe with a velocity of 4 mm/sec is laminar, transitional, or turbulent.

**Flow Categories:**
- **a.** Turbulent
- **b.** Between Laminar and Transitional
- **c.** Laminar
- **d.** Cannot determine
- **e.** Transitional

To determine the flow regime (laminar, transitional, or turbulent), it is essential to calculate the Reynolds number \(Re\). The flow type can generally be identified using the following Reynolds number ranges:
- Laminar Flow: \(Re < 2000\)
- Transitional Flow: \(2000 \leq Re \leq 4000\)
- Turbulent Flow: \(Re > 4000\)

The Reynolds number is calculated using the formula:
\[ Re = \frac{\rho v D}{\mu} \]
where:
- \(\rho\) is the density of the fluid (kg/m³)
- \(v\) is the velocity of the fluid (m/s)
- \(D\) is the diameter of the pipe (m)
- \(\mu\) is the dynamic viscosity of the fluid (Pa·s or N·s/m²)

Given:
- Velocity, \( v = 4 \text{ mm/sec} = 0.004 \text{ m/sec} \)
- Diameter, \( D = 8 \text{ cm} = 0.08 \text{ m} \)

Information on the specific density (\(\rho\)) and dynamic viscosity (\(\mu\)) of gasoline at 20°C would be required to complete the calculations. Without these values, the flow regime cannot be precisely determined.

Feel free to refer to fluid mechanics resources to find the necessary properties of gasoline at 20°C to proceed with the Reynolds number calculation.

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