Pressure Gradient given Maximum Velocity between Plates Calculator

✖Maximum Velocity is the rate of change of its position with respect to a frame of reference, and is a function of time.ⓘ Maximum Velocity [V_max]			+10% -10%
✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%
✖Width is the measurement or extent of something from side to side.ⓘ Width [w]			+10% -10%

✖Pressure Gradient is the change in pressure with respect to radial distance of element.ⓘ Pressure Gradient given Maximum Velocity between Plates [dp|dr]

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Formula

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Pressure Gradient given Maximum Velocity between Plates

Formula

`"dp|dr" = ("V"_{"max"}*8*"μ"_{"viscosity"})/("w"^2)`

Example

`"16.864N/m³"=("18.6m/s"*8*"10.2P")/(("3m")^2)`

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Download Laminar Flow between Parallel Plates, both plates at rest Formulas PDF

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_viscosity)/(w^2)
This formula uses 4 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 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.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external 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_viscosity)/(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 00.020 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< 2 Pressure Gradient Calculators

Pressure Gradient given Maximum Velocity between Plates

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

Pressure Gradient given Shear Stress Distribution Profile

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

Pressure Gradient given Maximum Velocity between Plates Formula

Pressure Gradient = (Maximum Velocity*8*Dynamic Viscosity)/(Width^2)
dp|dr = (V_max*8*μ_viscosity)/(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_viscosity) & 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_viscosity)/(w^2) or Pressure Gradient = (Maximum Velocity*8*Dynamic Viscosity)/(Width^2). Maximum Velocity is the rate of change of its position with respect to a frame of reference, and is a function of time, The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external 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_viscosity) & 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)

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