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/(h*γf)
This formula uses 5 Variables
Variables Used
Radial Distance - (Measured in Meter) - The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.
Shear Stress - (Measured in Pascal) - The Shear Stress refers to the 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) - The Length of Pipe refers to total length from one end to another in which the liquid is flowing.
Head Loss due to Friction - (Measured in Meter) - The Head Loss due to Friction refers to the loss of energy (or pressure) that occurs when a fluid flows through a pipe or duct due to the resistance created by the surface of the pipe.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.
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: 2.5 Meter --> 2.5 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/(h*γf) --> 2*93.1*0.1/(2.5*9810)
Evaluating ... ...
dradial = 0.000759225280326198
STEP 3: Convert Result to Output's Unit
0.000759225280326198 Meter --> No Conversion Required
FINAL ANSWER
0.000759225280326198 0.000759 Meter <-- Radial Distance
(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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Steady Laminar Flow in Circular Pipes Calculators

Shear Stress at any Cylindrical Element given Head Loss
​ LaTeX ​ 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
​ LaTeX ​ Go Radial Distance = 2*Shear Stress*Length of Pipe/(Head Loss due to Friction*Specific Weight of Liquid)
Distance of Element from Center line given Shear Stress at any Cylindrical Element
​ LaTeX ​ Go Radial Distance = 2*Shear Stress/Pressure Gradient
Shear Stress at any Cylindrical Element
​ LaTeX ​ Go Shear Stress = Pressure Gradient*Radial Distance/2

Distance of Element from Center Line given Head Loss Formula

​LaTeX ​Go
Radial Distance = 2*Shear Stress*Length of Pipe/(Head Loss due to Friction*Specific Weight of Liquid)
dradial = 2*𝜏*Lp/(h*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 (h) & 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 -> 0.000759 = 2*93.1*0.1/(2.5*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/(h*γf) or Radial Distance = 2*Shear Stress*Length of Pipe/(Head Loss due to Friction*Specific Weight of Liquid). The Shear Stress refers to the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, The Length of Pipe refers to total length from one end to another in which the liquid is flowing, The Head Loss due to Friction refers to the loss of energy (or pressure) that occurs when a fluid flows through a pipe or duct due to the resistance created by the surface of the pipe & The Specific Weight of Liquid refers to the weight per unit volume of that substance.
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 (h) & 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((Radius of pipe^2)-(-4*Dynamic Viscosity*Fluid Velocity/Pressure Gradient))
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