Pressure Gradient given Maximum Shear Stress at Cylindrical Element Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure Gradient = (2*Maximum Shear Stress on Shaft)/Pipe Radius
dp|dr = (2*𝜏max)/R
This formula uses 3 Variables
Variables Used
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.
Maximum Shear Stress on Shaft - (Measured in Pascal) - Maximum Shear Stress on Shaft that acts coplanar with a cross-section of material arises due to shear forces.
Pipe Radius - (Measured in Meter) - The Pipe Radius is the radius of the pipe through which the fluid is flowing.
STEP 1: Convert Input(s) to Base Unit
Maximum Shear Stress on Shaft: 0.0001 Megapascal --> 100 Pascal (Check conversion here)
Pipe Radius: 138 Millimeter --> 0.138 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dp|dr = (2*𝜏max)/R --> (2*100)/0.138
Evaluating ... ...
dp|dr = 1449.27536231884
STEP 3: Convert Result to Output's Unit
1449.27536231884 Newton per Cubic Meter --> No Conversion Required
FINAL ANSWER
1449.27536231884 1449.275 Newton per Cubic Meter <-- Pressure Gradient
(Calculation completed in 00.020 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 1300+ more calculators!
Verified by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

7 Pressure Gradient Calculators

Pressure Gradient given Velocity at any point in Cylindrical Element
Go Pressure Gradient = Fluid Velocity in Pipe/((1/(4*Dynamic Viscosity))*((Pipe Radius^2)-(Radial Distance^2)))
Pressure Gradient given Discharge through Pipe
Go Pressure Gradient = Discharge in pipe/((pi/(8*Dynamic Viscosity))*(Pipe Radius^4))
Pressure Gradient given Velocity Gradient at Cylindrical Element
Go Pressure Gradient = 2*Dynamic Viscosity*Velocity Gradient/Radial Distance
Pressure Gradients given Mean Velocity of Flow
Go Pressure Gradient = 8*Mean Velocity*Dynamic Viscosity/(Pipe Radius^2)
Pressure Gradient given Maximum Shear Stress at Cylindrical Element
Go Pressure Gradient = (2*Maximum Shear Stress on Shaft)/Pipe Radius
Pressure Gradient given Maximum Velocity at Axis of Cylindrical Element
Go Pressure Gradient = (4*Dynamic Viscosity)/(Pipe Radius^2)
Pressure Gradient given Shear Stress at any Cylindrical Element
Go Pressure Gradient = 2*Shear Stress/Radial Distance

Pressure Gradient given Maximum Shear Stress at Cylindrical Element Formula

Pressure Gradient = (2*Maximum Shear Stress on Shaft)/Pipe Radius
dp|dr = (2*𝜏max)/R

What is Pressure Gradient ?

Pressure gradient is a physical quantity that describes in which direction and at what rate the pressure increases the most rapidly around a particular location. The pressure gradient is a dimensional quantity expressed in units of pascals per metre.

How to Calculate Pressure Gradient given Maximum Shear Stress at Cylindrical Element?

Pressure Gradient given Maximum Shear Stress at Cylindrical Element calculator uses Pressure Gradient = (2*Maximum Shear Stress on Shaft)/Pipe Radius to calculate the Pressure Gradient, The Pressure Gradient given Maximum Shear Stress at Cylindrical Element is defined as the variation of pressure with a length of pipe.The negative sign in the gradient represents the decrease of fluid pressure in the direction of flow. Pressure Gradient is denoted by dp|dr symbol.

How to calculate Pressure Gradient given Maximum Shear Stress at Cylindrical Element using this online calculator? To use this online calculator for Pressure Gradient given Maximum Shear Stress at Cylindrical Element, enter Maximum Shear Stress on Shaft (𝜏max) & Pipe Radius (R) and hit the calculate button. Here is how the Pressure Gradient given Maximum Shear Stress at Cylindrical Element calculation can be explained with given input values -> 1449.275 = (2*100)/0.138.

FAQ

What is Pressure Gradient given Maximum Shear Stress at Cylindrical Element?
The Pressure Gradient given Maximum Shear Stress at Cylindrical Element is defined as the variation of pressure with a length of pipe.The negative sign in the gradient represents the decrease of fluid pressure in the direction of flow and is represented as dp|dr = (2*𝜏max)/R or Pressure Gradient = (2*Maximum Shear Stress on Shaft)/Pipe Radius. Maximum Shear Stress on Shaft that acts coplanar with a cross-section of material arises due to shear forces & The Pipe Radius is the radius of the pipe through which the fluid is flowing.
How to calculate Pressure Gradient given Maximum Shear Stress at Cylindrical Element?
The Pressure Gradient given Maximum Shear Stress at Cylindrical Element is defined as the variation of pressure with a length of pipe.The negative sign in the gradient represents the decrease of fluid pressure in the direction of flow is calculated using Pressure Gradient = (2*Maximum Shear Stress on Shaft)/Pipe Radius. To calculate Pressure Gradient given Maximum Shear Stress at Cylindrical Element, you need Maximum Shear Stress on Shaft (𝜏max) & Pipe Radius (R). With our tool, you need to enter the respective value for Maximum Shear Stress on Shaft & Pipe Radius 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 Pressure Gradient?
In this formula, Pressure Gradient uses Maximum Shear Stress on Shaft & Pipe Radius. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Pressure Gradient = 2*Shear Stress/Radial Distance
  • Pressure Gradient = 2*Dynamic Viscosity*Velocity Gradient/Radial Distance
  • Pressure Gradient = Fluid Velocity in Pipe/((1/(4*Dynamic Viscosity))*((Pipe Radius^2)-(Radial Distance^2)))
  • Pressure Gradient = (4*Dynamic Viscosity)/(Pipe Radius^2)
  • Pressure Gradient = Discharge in pipe/((pi/(8*Dynamic Viscosity))*(Pipe Radius^4))
  • Pressure Gradient = 8*Mean Velocity*Dynamic Viscosity/(Pipe Radius^2)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!