Diameter of Pipe from Maximum Velocity and Velocity at Any Radius Calculator

✖Radius is a radial line from the focus to any point of a curve.ⓘ Radius [r]			+10% -10%
✖Velocity of Fluid refers to the speed at which the fluid particles are moving in a particular direction.ⓘ Velocity of Fluid [V]			+10% -10%
✖Maximum Velocity is the rate of change of its position with respect to a frame of reference, and is a function of time.ⓘ Maximum Velocity [V_m]			+10% -10%

✖Pipe Diameter is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe from Maximum Velocity and Velocity at Any Radius [d_o]

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Diameter of Pipe from Maximum Velocity and Velocity at Any Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pipe Diameter = (2*Radius)/sqrt(1-Velocity of Fluid/Maximum Velocity)
d_o = (2*r)/sqrt(1-V/V_m)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Pipe Diameter - (Measured in Meter) - Pipe Diameter is the diameter of the pipe in which the liquid is flowing.
Radius - (Measured in Meter) - Radius is a radial line from the focus to any point of a curve.
Velocity of Fluid - (Measured in Meter per Second) - Velocity of Fluid refers to the speed at which the fluid particles are moving in a particular direction.
Maximum Velocity - (Measured in Meter per Second) - Maximum Velocity is the rate of change of its position with respect to a frame of reference, and is a function of time.

STEP 1: Convert Input(s) to Base Unit

Radius: 5 Meter --> 5 Meter No Conversion Required
Velocity of Fluid: 60 Meter per Second --> 60 Meter per Second No Conversion Required
Maximum Velocity: 60.08397 Meter per Second --> 60.08397 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_o = (2*r)/sqrt(1-V/V_m) --> (2*5)/sqrt(1-60/60.08397)

Evaluating ... ...

d_o = 267.495963982062

STEP 3: Convert Result to Output's Unit

267.495963982062 Meter --> No Conversion Required

FINAL ANSWER

267.495963982062 ≈ 267.496 Meter <-- Pipe Diameter

(Calculation completed in 00.020 seconds)

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Diameter of Pipe from Maximum Velocity and Velocity at Any Radius

LaTeX Go Pipe Diameter = (2*Radius)/sqrt(1-Velocity of Fluid/Maximum Velocity)

Diameter of Pipe from Maximum Velocity and Velocity at Any Radius Formula

LaTeX Go

Pipe Diameter = (2*Radius)/sqrt(1-Velocity of Fluid/Maximum Velocity)
d_o = (2*r)/sqrt(1-V/V_m)

What is laminar flow?

In fluid dynamics, laminar flow is characterized by fluid particles following smooth paths in layers, with each layer moving smoothly past the adjacent layers with little or no mixing.

What is maximum velocity in laminar flow?

The common application of laminar flow would be in the smooth flow of a viscous liquid through a tube or pipe. In that case, the velocity of flow varies from zero at the walls to a maximum along the centerline of the vessel.

How to Calculate Diameter of Pipe from Maximum Velocity and Velocity at Any Radius?

Diameter of Pipe from Maximum Velocity and Velocity at Any Radius calculator uses Pipe Diameter = (2*Radius)/sqrt(1-Velocity of Fluid/Maximum Velocity) to calculate the Pipe Diameter, Diameter of Pipe from Maximum Velocity and Velocity at Any Radius is used To determine the diameter of a pipe based on the maximum velocity and the velocity at any given radius, you can use principles from fluid mechanics, specifically from the velocity profile of laminar or turbulent flow. Pipe Diameter is denoted by d_o symbol.

How to calculate Diameter of Pipe from Maximum Velocity and Velocity at Any Radius using this online calculator? To use this online calculator for Diameter of Pipe from Maximum Velocity and Velocity at Any Radius, enter Radius (r), Velocity of Fluid (V) & Maximum Velocity (V_m) and hit the calculate button. Here is how the Diameter of Pipe from Maximum Velocity and Velocity at Any Radius calculation can be explained with given input values -> 10.73807 = (2*5)/sqrt(1-60/60.08397).

FAQ

What is Diameter of Pipe from Maximum Velocity and Velocity at Any Radius?

Diameter of Pipe from Maximum Velocity and Velocity at Any Radius is used To determine the diameter of a pipe based on the maximum velocity and the velocity at any given radius, you can use principles from fluid mechanics, specifically from the velocity profile of laminar or turbulent flow and is represented as d_o = (2*r)/sqrt(1-V/V_m) or Pipe Diameter = (2*Radius)/sqrt(1-Velocity of Fluid/Maximum Velocity). Radius is a radial line from the focus to any point of a curve, Velocity of Fluid refers to the speed at which the fluid particles are moving in a particular direction & Maximum Velocity is the rate of change of its position with respect to a frame of reference, and is a function of time.

How to calculate Diameter of Pipe from Maximum Velocity and Velocity at Any Radius?

Diameter of Pipe from Maximum Velocity and Velocity at Any Radius is used To determine the diameter of a pipe based on the maximum velocity and the velocity at any given radius, you can use principles from fluid mechanics, specifically from the velocity profile of laminar or turbulent flow is calculated using Pipe Diameter = (2*Radius)/sqrt(1-Velocity of Fluid/Maximum Velocity). To calculate Diameter of Pipe from Maximum Velocity and Velocity at Any Radius, you need Radius (r), Velocity of Fluid (V) & Maximum Velocity (V_m). With our tool, you need to enter the respective value for Radius, Velocity of Fluid & Maximum Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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