Velocity at Any Radius given Radius of Pipe, and Maximum Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity of Fluid = Maximum Velocity*(1-(Radius of Pipe/(Pipe Diameter/2))^2)
V = Vm*(1-(rp/(do/2))^2)
This formula uses 4 Variables
Variables Used
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.
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
Maximum Velocity: 60.08397 Meter per Second --> 60.08397 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
V = Vm*(1-(rp/(do/2))^2) --> 60.08397*(1-(0.2/(10.7/2))^2)
Evaluating ... ...
V = 60.0000025338458
STEP 3: Convert Result to Output's Unit
60.0000025338458 Meter per Second --> No Conversion Required
FINAL ANSWER
60.0000025338458 60 Meter per Second <-- Velocity of Fluid
(Calculation completed in 00.004 seconds)

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PSG College of Technology (PSGCT), Coimbatore
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Velocity at Any Radius given Radius of Pipe, and Maximum Velocity Formula

​LaTeX ​Go
Velocity of Fluid = Maximum Velocity*(1-(Radius of Pipe/(Pipe Diameter/2))^2)
V = Vm*(1-(rp/(do/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 Velocity at Any Radius given Radius of Pipe, and Maximum Velocity?

Velocity at Any Radius given Radius of Pipe, and Maximum Velocity calculator uses Velocity of Fluid = Maximum Velocity*(1-(Radius of Pipe/(Pipe Diameter/2))^2) to calculate the Velocity of Fluid, Velocity at Any Radius given Radius of Pipe, and Maximum Velocity is related to the maximum velocity and the pipe’s radius. The velocity distribution typically varies with radius, often following a specific profile depending on flow conditions. Velocity of Fluid is denoted by V symbol.

How to calculate Velocity at Any Radius given Radius of Pipe, and Maximum Velocity using this online calculator? To use this online calculator for Velocity at Any Radius given Radius of Pipe, and Maximum Velocity, enter Maximum Velocity (Vm), Radius of Pipe (rp) & Pipe Diameter (do) and hit the calculate button. Here is how the Velocity at Any Radius given Radius of Pipe, and Maximum Velocity calculation can be explained with given input values -> 451.3683 = 60.08397*(1-(0.2/(10.7/2))^2).

FAQ

What is Velocity at Any Radius given Radius of Pipe, and Maximum Velocity?
Velocity at Any Radius given Radius of Pipe, and Maximum Velocity is related to the maximum velocity and the pipe’s radius. The velocity distribution typically varies with radius, often following a specific profile depending on flow conditions and is represented as V = Vm*(1-(rp/(do/2))^2) or Velocity of Fluid = Maximum Velocity*(1-(Radius of Pipe/(Pipe Diameter/2))^2). Maximum Velocity is the rate of change of its position with respect to a frame of reference, and is a function of time, 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 Velocity at Any Radius given Radius of Pipe, and Maximum Velocity?
Velocity at Any Radius given Radius of Pipe, and Maximum Velocity is related to the maximum velocity and the pipe’s radius. The velocity distribution typically varies with radius, often following a specific profile depending on flow conditions is calculated using Velocity of Fluid = Maximum Velocity*(1-(Radius of Pipe/(Pipe Diameter/2))^2). To calculate Velocity at Any Radius given Radius of Pipe, and Maximum Velocity, you need Maximum Velocity (Vm), Radius of Pipe (rp) & Pipe Diameter (do). With our tool, you need to enter the respective value for Maximum Velocity, 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.
How many ways are there to calculate Velocity of Fluid?
In this formula, Velocity of Fluid uses Maximum Velocity, Radius of Pipe & Pipe Diameter. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Velocity of Fluid = (4*Weight of Body*Clearance^3)/(3*pi*Length of Pipe*Piston Diameter^3*Viscosity of Fluid)
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