Maximum Velocity at any Radius using Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Velocity = Velocity of Fluid/(1-(Radius of Pipe/(Pipe Diameter/2))^2)
Vmax = V/(1-(rp/(dpipe/2))^2)
This formula uses 4 Variables
Variables Used
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.
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.
Radius of Pipe - (Measured in Meter) - Radius Of Pipe typically refers to the distance from the center of the pipe to its outer surface.
Pipe Diameter - (Measured in Meter) - Pipe Diameter is the diameter of the pipe in which the liquid is flowing.
STEP 1: Convert Input(s) to Base Unit
Velocity of Fluid: 60 Meter per Second --> 60 Meter per Second No Conversion Required
Radius of Pipe: 0.2 Meter --> 0.2 Meter No Conversion Required
Pipe Diameter: 10.7 Meter --> 10.7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vmax = V/(1-(rp/(dpipe/2))^2) --> 60/(1-(0.2/(10.7/2))^2)
Evaluating ... ...
Vmax = 60.0839674626082
STEP 3: Convert Result to Output's Unit
60.0839674626082 Meter per Second --> No Conversion Required
FINAL ANSWER
60.0839674626082 โ‰ˆ 60.08397 Meter per Second <-- Maximum Velocity
(Calculation completed in 00.020 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Amrita School of Engineering (ASE), Vallikavu
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21 Fluid Flow and Resistance Calculators

Total Torque Measured by Strain in Rotating Cylinder Method
Go Torque Exerted on Wheel = (Viscosity of Fluid*pi*Inner Radius of Cylinder^2*Mean Speed in RPM*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+(Inner Radius of Cylinder^2)*(Outer Radius of Cylinder-Inner Radius of Cylinder)))/(2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance)
Angular Speed of Outer Cylinder in Rotating Cylinder Method
Go Mean Speed in RPM = (2*(Outer Radius of Cylinder-Inner Radius of Cylinder)*Clearance*Torque Exerted on Wheel)/(pi*Inner Radius of Cylinder^2*Viscosity of Fluid*(4*Initial Height of Liquid*Clearance*Outer Radius of Cylinder+Inner Radius of Cylinder^2*(Outer Radius of Cylinder-Inner Radius of Cylinder)))
Discharge in Capillary Tube Method
Go Discharge in Capillary Tube = (4*pi*Density of Liquid*[g]*Difference in Pressure Head*Radius of Pipe^4)/(128*Viscosity of Fluid*Length of Pipe)
Rotational Speed for Torque Required in Collar Bearing
Go Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Outer Radius of Collar^4-Inner Radius of Collar^4))
Torque Required to Overcome Viscous Resistance in Collar Bearing
Go Torque Exerted on Wheel = (Viscosity of Fluid*pi^2*Mean Speed in RPM*(Outer Radius of Collar^4-Inner Radius of Collar^4))/Thickness of Oil Film
Velocity of Piston or Body for Movement of Piston in Dash-Pot
Go Velocity of Fluid = (4*Weight of Body*Clearance^3)/(3*pi*Length of Pipe*Piston Diameter^3*Viscosity of Fluid)
Shear Force or Viscous Resistance in Journal Bearing
Go Shear Force = (pi^2*Viscosity of Fluid*Mean Speed in RPM*Length of Pipe*Shaft Diameter^2)/(Thickness of Oil Film)
Speed of Rotation for Shear Force in Journal Bearing
Go Mean Speed in RPM = (Shear Force*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*Shaft Diameter^2*Length of Pipe)
Shear Stress in Fluid or Oil of Journal Bearing
Go Shear Stress = (pi*Viscosity of Fluid*Shaft Diameter*Mean Speed in RPM)/(60*Thickness of Oil Film)
Rotational Speed for Torque Required in Foot-Step Bearing
Go Mean Speed in RPM = (Torque Exerted on Wheel*Thickness of Oil Film)/(Viscosity of Fluid*pi^2*(Shaft Diameter/2)^4)
Torque Required to Overcome Viscous Resistance in Foot-Step Bearing
Go Torque Exerted on Wheel = (Viscosity of Fluid*pi^2*Mean Speed in RPM*(Shaft Diameter/2)^4)/Thickness of Oil Film
Velocity of Sphere in Falling Sphere Resistance Method
Go Velocity of Sphere = Drag Force/(3*pi*Viscosity of Fluid*Diameter of Sphere)
Drag Force in Falling Sphere Resistance Method
Go Drag Force = 3*pi*Viscosity of Fluid*Velocity of Sphere*Diameter of Sphere
Density of Fluid in Falling Sphere Resistance Method
Go Density of Liquid = Buoyant Force/(pi/6*Diameter of Sphere^3*[g])
Buoyant Force in Falling Sphere Resistance Method
Go Buoyant Force = pi/6*Density of Liquid*[g]*Diameter of Sphere^3
Velocity at Any Radius given Radius of Pipe, and Maximum Velocity
Go Velocity of Fluid = Maximum Velocity*(1-(Radius of Pipe/(Pipe Diameter/2))^2)
Maximum Velocity at any Radius using Velocity
Go Maximum Velocity = Velocity of Fluid/(1-(Radius of Pipe/(Pipe Diameter/2))^2)
Rotational Speed considering Power Absorbed and Torque in Journal Bearing
Go Mean Speed in RPM = Power Absorbed/(2*pi*Torque Exerted on Wheel)
Torque Required Considering Power Absorbed in Journal Bearing
Go Torque Exerted on Wheel = Power Absorbed/(2*pi*Mean Speed in RPM)
Shear Force for Torque and Diameter of Shaft in Journal Bearing
Go Shear Force = Torque Exerted on Wheel/(Shaft Diameter/2)
Torque Required to Overcome Shear Force in Journal Bearing
Go Torque Exerted on Wheel = Shear Force*Shaft Diameter/2

Maximum Velocity at any Radius using Velocity Formula

Maximum Velocity = Velocity of Fluid/(1-(Radius of Pipe/(Pipe Diameter/2))^2)
Vmax = V/(1-(rp/(dpipe/2))^2)

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 Maximum Velocity at any Radius using Velocity?

Maximum Velocity at any Radius using Velocity calculator uses Maximum Velocity = Velocity of Fluid/(1-(Radius of Pipe/(Pipe Diameter/2))^2) to calculate the Maximum Velocity, The Maximum velocity at any radius using velocity formula is known while considering the radius at any point with a velocity 'u', the radius of pipe where the laminar flow takes place from the relation ratio of maximum velocity to the average velocity. Maximum Velocity is denoted by Vmax symbol.

How to calculate Maximum Velocity at any Radius using Velocity using this online calculator? To use this online calculator for Maximum Velocity at any Radius using Velocity, enter Velocity of Fluid (V), Radius of Pipe (rp) & Pipe Diameter (dpipe) and hit the calculate button. Here is how the Maximum Velocity at any Radius using Velocity calculation can be explained with given input values -> 474.0787 = 60/(1-(0.2/(10.7/2))^2).

FAQ

What is Maximum Velocity at any Radius using Velocity?
The Maximum velocity at any radius using velocity formula is known while considering the radius at any point with a velocity 'u', the radius of pipe where the laminar flow takes place from the relation ratio of maximum velocity to the average velocity and is represented as Vmax = V/(1-(rp/(dpipe/2))^2) or Maximum Velocity = Velocity of Fluid/(1-(Radius of Pipe/(Pipe Diameter/2))^2). Velocity of Fluid refers to the speed at which the fluid particles are moving in a particular direction, Radius Of Pipe typically refers to the distance from the center of the pipe to its outer surface & Pipe Diameter is the diameter of the pipe in which the liquid is flowing.
How to calculate Maximum Velocity at any Radius using Velocity?
The Maximum velocity at any radius using velocity formula is known while considering the radius at any point with a velocity 'u', the radius of pipe where the laminar flow takes place from the relation ratio of maximum velocity to the average velocity is calculated using Maximum Velocity = Velocity of Fluid/(1-(Radius of Pipe/(Pipe Diameter/2))^2). To calculate Maximum Velocity at any Radius using Velocity, you need Velocity of Fluid (V), Radius of Pipe (rp) & Pipe Diameter (dpipe). With our tool, you need to enter the respective value for Velocity of Fluid, Radius of Pipe & Pipe Diameter 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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