For turbulent flow, the value of Reynolds number is

Options

A. `R_(e)gt 2000`
B. `R_(e) lt 2000`
C. `1000ltR_(e)lt2000`
D. `R_(e) = 1000`

Answer

To determine the value of the Reynolds number for turbulent flow, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Reynolds Number**: The Reynolds number (Re) is a dimensionless quantity used to predict flow patterns in different fluid flow situations. It is defined as the ratio of inertial forces to viscous forces in a fluid.

\[ Re = \frac{\text{Inertial Force}}{\text{Viscous Force}} \]

2. **Identify the Flow Types**: There are two main types of flow in fluid mechanics: laminar flow and turbulent flow.

- **Laminar Flow**: This occurs when the Reynolds number is less than 2000 (Re < 2000). In this regime, the fluid flows in parallel layers with minimal disruption between them.
- **Turbulent Flow**: This occurs when the Reynolds number is greater than 2000 (Re > 2000). In this regime, the flow is chaotic and irregular, with eddies and vortices.

3. **Determine the Threshold for Turbulent Flow**: For turbulent flow, the Reynolds number must be greater than 2000.

\[ Re > 2000 \]

4. **Conclusion**: Therefore, for turbulent flow, the value of the Reynolds number is greater than 2000.

### Final Answer:
The value of the Reynolds number for turbulent flow is **greater than 2000**.

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