Pressure Gradient given Maximum Velocity between Plates Calculator

✖The Maximum Velocity refers to the highest speed at which fluid can flow through a system without causing damage or inefficiency.ⓘ Maximum Velocity [V_max]			+10% -10%
✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖Width is the measurement or extent of something from side to side.ⓘ Width [w]			+10% -10%

✖The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.ⓘ Pressure Gradient given Maximum Velocity between Plates [dp|dr]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Laminar Flow between Parallel Plates, both Plates at Rest Formulas PDF PDF Image

Pressure Gradient given Maximum Velocity between Plates Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Gradient = (Maximum Velocity*8*Dynamic Viscosity)/(Width^2)
dp|dr = (V_max*8*μ)/(w^2)
This formula uses 4 Variables

Variables Used

Pressure Gradient - (Measured in Newton per Cubic Meter) - The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.
Maximum Velocity - (Measured in Meter per Second) - The Maximum Velocity refers to the highest speed at which fluid can flow through a system without causing damage or inefficiency.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.

STEP 1: Convert Input(s) to Base Unit

Maximum Velocity: 18.6 Meter per Second --> 18.6 Meter per Second No Conversion Required
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Width: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

dp|dr = (V_max*8*μ)/(w^2) --> (18.6*8*1.02)/(3^2)

Evaluating ... ...

dp|dr = 16.864

STEP 3: Convert Result to Output's Unit

16.864 Newton per Cubic Meter --> No Conversion Required

FINAL ANSWER

16.864 Newton per Cubic Meter <-- Pressure Gradient

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Laminar Flow between Parallel Plates, both Plates at Rest » Pressure Gradient » Pressure Gradient given Maximum Velocity between Plates

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!

< Pressure Gradient Calculators

Pressure Gradient given Maximum Velocity between Plates

LaTeX Go Pressure Gradient = (Maximum Velocity*8*Dynamic Viscosity)/(Width^2)

Pressure Gradient given Shear Stress Distribution Profile

LaTeX Go Pressure Gradient = -Shear Stress/(Width/2-Horizontal Distance)

Pressure Gradient given Maximum Velocity between Plates Formula

LaTeX Go

Pressure Gradient = (Maximum Velocity*8*Dynamic Viscosity)/(Width^2)
dp|dr = (V_max*8*μ)/(w^2)

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 Velocity between Plates?

Pressure Gradient given Maximum Velocity between Plates calculator uses Pressure Gradient = (Maximum Velocity*8*Dynamic Viscosity)/(Width^2) to calculate the Pressure Gradient, The Pressure Gradient given Maximum Velocity between Plates formula is defined as the rate of pressure change per unit distance in a fluid flow with maximum velocity between plates in a hydraulic system. Pressure Gradient is denoted by dp|dr symbol.

How to calculate Pressure Gradient given Maximum Velocity between Plates using this online calculator? To use this online calculator for Pressure Gradient given Maximum Velocity between Plates, enter Maximum Velocity (V_max), Dynamic Viscosity (μ) & Width (w) and hit the calculate button. Here is how the Pressure Gradient given Maximum Velocity between Plates calculation can be explained with given input values -> 16.864 = (18.6*8*1.02)/(3^2).

FAQ

What is Pressure Gradient given Maximum Velocity between Plates?

The Pressure Gradient given Maximum Velocity between Plates formula is defined as the rate of pressure change per unit distance in a fluid flow with maximum velocity between plates in a hydraulic system and is represented as dp|dr = (V_max*8*μ)/(w^2) or Pressure Gradient = (Maximum Velocity*8*Dynamic Viscosity)/(Width^2). The Maximum Velocity refers to the highest speed at which fluid can flow through a system without causing damage or inefficiency, The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied & Width is the measurement or extent of something from side to side.

How to calculate Pressure Gradient given Maximum Velocity between Plates?

The Pressure Gradient given Maximum Velocity between Plates formula is defined as the rate of pressure change per unit distance in a fluid flow with maximum velocity between plates in a hydraulic system is calculated using Pressure Gradient = (Maximum Velocity*8*Dynamic Viscosity)/(Width^2). To calculate Pressure Gradient given Maximum Velocity between Plates, you need Maximum Velocity (V_max), Dynamic Viscosity (μ) & Width (w). With our tool, you need to enter the respective value for Maximum Velocity, Dynamic Viscosity & Width 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 Velocity, Dynamic Viscosity & Width. We can use 1 other way(s) to calculate the same, which is/are as follows -

Pressure Gradient = -Shear Stress/(Width/2-Horizontal Distance)

Home

FREE PDFs

🔍 Search