Radius Of Pipe For Flow Velocity Of Stream Calculator

Formula Used:

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

Radial Distance (d_radial):

Velocity of Liquid (v):

m/s

Dynamic Viscosity (μ):

Pa·s

Specific Weight of Liquid (γ_f):

kN/m³

Piezometric Gradient (dh/dx):

Inclined Pipes Radius (R_inclined):

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1. What is the Inclined Pipes Radius Formula?

The formula calculates the radius of an inclined pipe based on fluid flow parameters. It considers radial distance, liquid velocity, dynamic viscosity, specific weight, and piezometric gradient to determine the pipe radius for a given flow velocity.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

Explanation: The formula accounts for the balance between radial distance and the viscous forces acting on the fluid flow in an inclined pipe.

3. Importance of Pipe Radius Calculation

Details: Accurate pipe radius calculation is crucial for designing efficient fluid transport systems, ensuring proper flow rates, and minimizing energy losses in piping networks.

4. Using the Calculator

Tips: Enter all values in the specified units. Ensure radial distance, velocity, viscosity, specific weight, and piezometric gradient are all positive values for valid results.

5. Frequently Asked Questions (FAQ)

Q1: What is radial distance in this context?
A: Radial distance refers to the distance from the center of the pipe to the point where flow velocity is being measured or calculated.

Q2: How does viscosity affect the pipe radius calculation?
A: Higher viscosity increases resistance to flow, which may require a larger pipe radius to maintain the same flow velocity.

Q3: What is piezometric gradient?
A: Piezometric gradient represents the rate of change of piezometric head with distance along the pipe, indicating the pressure gradient driving the flow.

Q4: Can this formula be used for any fluid?
A: The formula is generally applicable to Newtonian fluids where viscosity remains constant regardless of the applied shear stress.

Q5: What are typical units for specific weight?
A: Specific weight is typically measured in kN/m³ or N/m³, representing the weight per unit volume of the fluid.