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)
dpipe = (2*r)/sqrt(1-V/Vmax)
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: 452 Meter per Second --> 452 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dpipe = (2*r)/sqrt(1-V/Vmax) --> (2*5)/sqrt(1-60/452)
Evaluating ... ...
dpipe = 10.7380688416949
STEP 3: Convert Result to Output's Unit
10.7380688416949 Meter --> No Conversion Required
FINAL ANSWER
10.7380688416949 โ‰ˆ 10.73807 Meter <-- Pipe Diameter
(Calculation completed in 00.004 seconds)

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PSG College of Technology (PSGCT), Coimbatore
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19 Dimensions and Geometry Calculators

Radius of Capillary Tube
Go Radius of Capillary Tube = 1/2*((128*Viscosity of Fluid*Discharge in Capillary Tube*Length of Pipe)/(pi*Density of Liquid*[g]*Difference in Pressure Head))^(1/4)
Length of Tube in Capillary Tube Method
Go Length of Tube = (4*pi*Density of Liquid*[g]*Difference in Pressure Head*Radius^4)/(128*Discharge in Capillary Tube*Viscosity of Fluid)
Diameter of Pipe for Loss of Pressure Head in Viscous Flow
Go Diameter of Pipe = sqrt((32*Viscosity of Fluid*Velocity of Fluid*Length of Pipe)/(Density of Liquid*[g]*Loss of Peizometric Head))
Length for Pressure Head Loss in Viscous Flow between Two Parallel Plates
Go Length of Pipe = (Density of Liquid*[g]*Loss of Peizometric Head*Thickness of Oil Film^2)/(12*Viscosity of Fluid*Velocity of Fluid)
Length of Pipe for Loss of Pressure Head in Viscous Flow
Go Length of Pipe = (Loss of Peizometric Head*Density of Liquid*[g]*Diameter of Pipe^2)/(32*Viscosity of Fluid*Velocity of Fluid)
External or Outer Radius of Collar for Total Torque
Go Outer Radius of Collar = (Inner Radius of Collar^4+(Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4)
Internal or Inner Radius of Collar for Total Torque
Go Inner Radius of Collar = (Outer Radius of Collar^4+(Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4)
Diameter of Pipe for Difference in Pressure in Viscous Flow
Go Diameter of Pipe = sqrt((32*Viscosity of Oil*Average Velocity*Length of Pipe)/(Pressure Difference in Viscous Flow))
Thickness of Oil Film for Shear Force in Journal Bearing
Go Thickness of Oil Film = (Viscosity of Fluid*pi^2*Shaft Diameter^2*Mean Speed in RPM*Length of Pipe)/(Shear Force)
Diameter of Pipe for Head Loss due to Friction in Viscous Flow
Go Diameter of Pipe = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Loss of Head*2*[g])
Length of Pipe for Head Loss due to Friction in Viscous Flow
Go Length of Pipe = (Loss of Head*Diameter of Pipe*2*[g])/(4*Coefficient of Friction*Average Velocity^2)
Thickness of Oil Film for Speed and Diameter of Shaft in Journal Bearing
Go Thickness of Oil Film = (Viscosity of Fluid*pi*Shaft Diameter*Mean Speed in RPM)/(Shear Stress)
Diameter of Shaft for Speed and Shear Stress of Fluid in Journal Bearing
Go Shaft Diameter = (Shear Stress*Thickness of Oil Film)/(pi*Viscosity of Fluid*Mean Speed in RPM)
Length for Difference of Pressure in Viscous Flow between Two Parallel Plates
Go Length of Pipe = (Pressure Difference in Viscous Flow*Thickness of Oil Film^2)/(12*Viscosity of Fluid*Velocity of Fluid)
Diameter of Shaft for Torque Required in Foot-Step Bearing
Go Shaft Diameter = 2*((Torque Exerted on Wheel*Thickness of Oil Film)/(pi^2*Viscosity of Fluid*Mean Speed in RPM))^(1/4)
Thickness of Oil Film for Torque required in Foot-Step Bearing
Go Thickness of Oil Film = (Viscosity of Fluid*pi^2*Mean Speed in RPM*(Shaft Diameter/2)^4)/Torque Exerted on Wheel
Length of Pipe for Difference of Pressure in Viscous Flow
Go Length of Pipe = (Pressure Difference in Viscous Flow*Diameter of Pipe^2)/(32*Viscosity of Oil*Average Velocity)
Diameter of Sphere in Falling Sphere Resistance Method
Go Diameter of Sphere = Drag Force/(3*pi*Viscosity of Fluid*Velocity of Sphere)
Diameter of Pipe from Maximum Velocity and Velocity at Any Radius
Go Pipe Diameter = (2*Radius)/sqrt(1-Velocity of Fluid/Maximum Velocity)

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

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

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, The Diameter of pipe from maximum velocity and velocity at any radius formula is known while considering the radius at any point with a velocity "u" considering the laminar flow which takes place from the relation ratio of maximum velocity to the average velocity. Pipe Diameter is denoted by dpipe 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 (Vmax) 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 -> 10.00742 = (2*5)/sqrt(1-60/452).

FAQ

What is Diameter of Pipe from Maximum Velocity and Velocity at Any Radius?
The Diameter of pipe from maximum velocity and velocity at any radius formula is known while considering the radius at any point with a velocity "u" considering the laminar flow which takes place from the relation ratio of maximum velocity to the average velocity and is represented as dpipe = (2*r)/sqrt(1-V/Vmax) 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?
The Diameter of pipe from maximum velocity and velocity at any radius formula is known while considering the radius at any point with a velocity "u" considering the laminar flow which takes place from the relation ratio of maximum velocity to the average velocity 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 (Vmax). 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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