A flow of liquid is streamline, if the Reynolds' number is

Options

A. less than 1000
B. greater than 1000
C. between 2000 to 3000
D. between 4000 to 5000

Explanation

To determine whether the flow of a liquid is streamline based on the Reynolds number, we can follow these steps:

### Step 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:
\[ Re = \frac{\rho v L}{\mu} \]
where:
- \( \rho \) = density of the fluid
- \( v \) = velocity of the fluid
- \( L \) = characteristic length (such as diameter of a pipe)
- \( \mu \) = dynamic viscosity of the fluid

### Step 2: Identify the Flow Regimes
Based on the value of the Reynolds number, we can classify the flow into different regimes:
- **Re < 1000**: The flow is considered to be streamline (laminar flow).
- **1000 < Re < 2000**: The flow is in a transitional state (unstable flow).
- **Re > 2000**: The flow is considered turbulent.

### Step 3: Conclusion
From the above classifications, we can conclude that a flow of liquid is streamline if the Reynolds number is less than 1000.

### Final Answer
The flow of liquid is streamline if the Reynolds number is **less than 1000**.

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