Specific Weight Of Liquid Given Flow Velocity Of Stream Calculator

Formula Used:

\[ \gamma_f = \frac{v}{\left(\frac{1}{4\mu}\right) \cdot \frac{dh}{dx} \cdot (R_{inclined}^2 - d_{radial}^2)} \]

Velocity of Liquid (v):

m/s

Dynamic Viscosity (μ):

Pa·s

Piezometric Gradient (dh/dx):

Inclined Pipes Radius (R_inclined):

Radial Distance (d_radial):

Specific Weight of Liquid (γ_f):

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1. What is Specific Weight of Liquid?

Specific Weight of Liquid refers to the weight per unit volume of that substance. It is an important property in fluid mechanics that helps determine how a fluid behaves under various conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \gamma_f = \frac{v}{\left(\frac{1}{4\mu}\right) \cdot \frac{dh}{dx} \cdot (R_{inclined}^2 - d_{radial}^2)} \]

Where:

\( \gamma_f \) — Specific Weight of Liquid (N/m³)
\( v \) — Velocity of Liquid (m/s)
\( \mu \) — Dynamic Viscosity (Pa·s)
\( \frac{dh}{dx} \) — Piezometric Gradient
\( R_{inclined} \) — Inclined Pipes Radius (m)
\( d_{radial} \) — Radial Distance (m)

Explanation: This formula calculates the specific weight of a liquid based on flow velocity, viscosity, piezometric gradient, and geometric parameters of the pipe system.

3. Importance of Specific Weight Calculation

Details: Calculating specific weight is crucial for understanding fluid behavior in various engineering applications, including pipe flow analysis, hydraulic systems design, and fluid dynamics calculations.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Ensure that radial distance is less than the pipe radius for valid calculations. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between specific weight and density?
A: Specific weight is weight per unit volume (N/m³), while density is mass per unit volume (kg/m³). They are related by gravity: specific weight = density × gravity.

Q2: Why is piezometric gradient important in this calculation?
A: Piezometric gradient represents the rate of change of hydraulic head along the flow direction, which drives the fluid motion in the system.

Q3: What are typical values for specific weight of common liquids?
A: Water has specific weight of approximately 9810 N/m³, while other liquids vary based on their density and gravitational acceleration.

Q4: When is this formula particularly useful?
A: This formula is especially useful in analyzing flow through inclined pipes and understanding how geometric parameters affect fluid properties.

Q5: Are there limitations to this equation?
A: This equation assumes steady, laminar flow and may have limitations for turbulent flow conditions or complex fluid behaviors.