Distance of Element from Center Line given Head Loss Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radial Distance = 2*Shear Stress*Length of Pipe/(Head Loss due to Friction*Specific Weight of Liquid)
dradial = 2*𝜏*Lp/(hlocation*γf)
This formula uses 5 Variables
Variables Used
Radial Distance - (Measured in Meter) - Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.
Shear Stress - (Measured in Pascal) - Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Head Loss due to Friction - (Measured in Meter) - The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
STEP 1: Convert Input(s) to Base Unit
Shear Stress: 93.1 Pascal --> 93.1 Pascal No Conversion Required
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required
Head Loss due to Friction: 1.9 Meter --> 1.9 Meter No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dradial = 2*𝜏*Lp/(hlocationf) --> 2*93.1*0.1/(1.9*9810)
Evaluating ... ...
dradial = 0.000998980632008155
STEP 3: Convert Result to Output's Unit
0.000998980632008155 Meter --> No Conversion Required
FINAL ANSWER
0.000998980632008155 0.000999 Meter <-- Radial Distance
(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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12 Steady Laminar Flow in Circular Pipes – Hagen Poiseuille Law Calculators

Distance of Element from Center Line given Velocity at any point in Cylindrical Element
Go Radial Distance = sqrt((Pipe Radius^2)-(-4*Dynamic Viscosity*Fluid Velocity in Pipe/Pressure Gradient))
Velocity at any point in Cylindrical Element
Go Fluid Velocity in Pipe = -(1/(4*Dynamic Viscosity))*Pressure Gradient*((Pipe Radius^2)-(Radial Distance^2))
Shear Stress at any Cylindrical Element given Head Loss
Go Shear Stress = (Specific Weight of Liquid*Head Loss due to Friction*Radial Distance)/(2*Length of Pipe)
Distance of Element from Center Line given Head Loss
Go Radial Distance = 2*Shear Stress*Length of Pipe/(Head Loss due to Friction*Specific Weight of Liquid)
Discharge through Pipe given Pressure Gradient
Go Discharge in pipe = (pi/(8*Dynamic Viscosity))*(Pipe Radius^4)*Pressure Gradient
Velocity Gradient given Pressure Gradient at Cylindrical Element
Go Velocity Gradient = (1/(2*Dynamic Viscosity))*Pressure Gradient*Radial Distance
Distance of Element from Center Line given Velocity Gradient at Cylindrical Element
Go Radial Distance = 2*Dynamic Viscosity*Velocity Gradient/Pressure Gradient
Mean Velocity of Fluid Flow
Go Mean Velocity = (1/(8*Dynamic Viscosity))*Pressure Gradient*Pipe Radius^2
Distance of Element from Center line given Shear Stress at any Cylindrical Element
Go Radial Distance = 2*Shear Stress/Pressure Gradient
Shear Stress at any Cylindrical Element
Go Shear Stress = Pressure Gradient*Radial Distance/2
Mean Velocity of Flow given Maximum Velocity at Axis of Cylindrical Element
Go Mean Velocity = 0.5*Maximum Velocity
Maximum Velocity at Axis of Cylindrical Element given Mean Velocity of Flow
Go Maximum Velocity = 2*Mean Velocity

Distance of Element from Center Line given Head Loss Formula

Radial Distance = 2*Shear Stress*Length of Pipe/(Head Loss due to Friction*Specific Weight of Liquid)
dradial = 2*𝜏*Lp/(hlocation*γf)

What is Pipe Flow ?

Pipe flow, a branch of hydraulics and fluid mechanics, is a type of liquid flow within a closed conduit. The other type of flow within a conduit is open channel flow. These two types of flow are similar in many ways, but differ in one important aspect.

How to Calculate Distance of Element from Center Line given Head Loss?

Distance of Element from Center Line given Head Loss calculator uses Radial Distance = 2*Shear Stress*Length of Pipe/(Head Loss due to Friction*Specific Weight of Liquid) to calculate the Radial Distance, The Distance of Element from Center line given Head Loss is defined as the radius of the elemental section measured from the center. Radial Distance is denoted by dradial symbol.

How to calculate Distance of Element from Center Line given Head Loss using this online calculator? To use this online calculator for Distance of Element from Center Line given Head Loss, enter Shear Stress (𝜏), Length of Pipe (Lp), Head Loss due to Friction (hlocation) & Specific Weight of Liquid f) and hit the calculate button. Here is how the Distance of Element from Center Line given Head Loss calculation can be explained with given input values -> 0.000655 = 2*93.1*0.1/(1.9*9810).

FAQ

What is Distance of Element from Center Line given Head Loss?
The Distance of Element from Center line given Head Loss is defined as the radius of the elemental section measured from the center and is represented as dradial = 2*𝜏*Lp/(hlocationf) or Radial Distance = 2*Shear Stress*Length of Pipe/(Head Loss due to Friction*Specific Weight of Liquid). Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, Length of Pipe describes the length of the pipe in which the liquid is flowing, The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct & Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
How to calculate Distance of Element from Center Line given Head Loss?
The Distance of Element from Center line given Head Loss is defined as the radius of the elemental section measured from the center is calculated using Radial Distance = 2*Shear Stress*Length of Pipe/(Head Loss due to Friction*Specific Weight of Liquid). To calculate Distance of Element from Center Line given Head Loss, you need Shear Stress (𝜏), Length of Pipe (Lp), Head Loss due to Friction (hlocation) & Specific Weight of Liquid f). With our tool, you need to enter the respective value for Shear Stress, Length of Pipe, Head Loss due to Friction & Specific Weight of Liquid 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 Radial Distance?
In this formula, Radial Distance uses Shear Stress, Length of Pipe, Head Loss due to Friction & Specific Weight of Liquid. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Radial Distance = 2*Shear Stress/Pressure Gradient
  • Radial Distance = 2*Dynamic Viscosity*Velocity Gradient/Pressure Gradient
  • Radial Distance = sqrt((Pipe Radius^2)-(-4*Dynamic Viscosity*Fluid Velocity in Pipe/Pressure Gradient))
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