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Specific Weight Of Liquid Given Boundary Shear Stress Calculator

Formula Used:

\[ \gamma_l = \frac{\zeta_0}{R_H \times S} \]

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1. What is Liquid Specific Weight?

Liquid Specific Weight, also known as the unit weight, is the weight per unit volume of the liquid. For example, the specific weight of water on Earth at 4°C is 9.807 kN/m³ or 62.43 lbf/ft³.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \gamma_l = \frac{\zeta_0}{R_H \times S} \]

Where:

Explanation: This formula calculates the specific weight of a liquid based on the boundary shear stress, hydraulic radius, and bed slope in open channel flow.

3. Importance of Liquid Specific Weight Calculation

Details: Calculating liquid specific weight is crucial for hydraulic engineering applications, including open channel flow analysis, sediment transport studies, and the design of hydraulic structures.

4. Using the Calculator

Tips: Enter shear stress in Pascals, hydraulic radius in meters, and bed slope as a dimensionless value. All values must be positive and non-zero.

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 the gravitational acceleration: γ = ρ × g.

Q2: How does temperature affect liquid specific weight?
A: Temperature affects liquid specific weight through thermal expansion. As temperature increases, most liquids expand, decreasing their density and specific weight.

Q3: What are typical specific weight values for common liquids?
A: Water at 4°C: 9.807 kN/m³, Mercury: 133.7 kN/m³, Gasoline: 6.6-7.5 kN/m³, Sea water: 10.03-10.05 kN/m³.

Q4: Why is hydraulic radius important in this calculation?
A: Hydraulic radius represents the efficiency of the channel cross-section in conveying fluid and is a key parameter in open channel flow calculations.

Q5: Can this formula be used for all types of fluids?
A: This formula is primarily used for Newtonian fluids in open channel flow. For non-Newtonian fluids or closed conduit flow, different formulas may be required.

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