Specific Weight Of Liquid Given Velocity Gradient With Shear Stress Calculator

Specific Weight of Liquid Formula:

\[ \gamma_f = \frac{2 \times VG \times \mu}{dhbydx \times dradial} \]

Velocity Gradient (VG):

m/s

Dynamic Viscosity (μ):

Pa·s

Piezometric Gradient (dhbydx):

Radial Distance (dradial):

Specific Weight of Liquid (γf):

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1. What is Specific Weight of Liquid?

The 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 the gravitational force exerted by a fluid per unit volume.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \gamma_f = \frac{2 \times VG \times \mu}{dhbydx \times dradial} \]

Where:

\( VG \) — Velocity Gradient (m/s)
\( \mu \) — Dynamic Viscosity (Pa·s)
\( dhbydx \) — Piezometric Gradient
\( dradial \) — Radial Distance (m)
\( \gamma_f \) — Specific Weight of Liquid (N/m³)

Explanation: This formula calculates the specific weight of a liquid based on velocity gradient, dynamic viscosity, piezometric gradient, and radial distance.

3. Importance of Specific Weight Calculation

Details: Calculating specific weight is crucial in fluid mechanics for determining buoyancy forces, pressure distributions, and fluid behavior under gravitational influence.

4. Using the Calculator

Tips: Enter velocity gradient in m/s, dynamic viscosity in Pa·s, piezometric gradient, and radial distance in meters. 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). Specific weight = density × gravitational acceleration.

Q2: How does velocity gradient affect specific weight?
A: Velocity gradient represents the rate of change of velocity with distance, which influences shear stress and consequently affects the calculated specific weight.

Q3: What is piezometric gradient?
A: Piezometric gradient is the rate of change of piezometric head with respect to distance along the flow direction.

Q4: When is this formula typically used?
A: This formula is commonly used in fluid mechanics problems involving shear stress calculations in pipes and channels with radial flow.

Q5: What are typical units for specific weight?
A: Specific weight is typically measured in N/m³ (Newton per cubic meter) in the SI system.