Velocity of Fluid given Dynamic Pressure Calculator

✖Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid.ⓘ Dynamic Pressure [P_dynamic]			+10% -10%
✖Liquid Density is mass per unit volume of the liquid.ⓘ Liquid Density [LD]			+10% -10%

✖Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.ⓘ Velocity of Fluid given Dynamic Pressure [u_Fluid]

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Formula

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Velocity of Fluid given Dynamic Pressure

Formula

u Fluid = \sqrt{P dynamic \cdot \frac{2}{LD}}

Example

1.071366 m/s = \sqrt{13.2 Pa \cdot \frac{2}{23 kg/m³}}

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Velocity of Fluid given Dynamic Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fluid Velocity = sqrt(Dynamic Pressure*2/Liquid Density)
u_Fluid = sqrt(P_dynamic*2/LD)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Fluid Velocity - (Measured in Meter per Second) - Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.
Dynamic Pressure - (Measured in Pascal) - Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid.
Liquid Density - (Measured in Kilogram per Cubic Meter) - Liquid Density is mass per unit volume of the liquid.

STEP 1: Convert Input(s) to Base Unit

Dynamic Pressure: 13.2 Pascal --> 13.2 Pascal No Conversion Required
Liquid Density: 23 Kilogram per Cubic Meter --> 23 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u_Fluid = sqrt(P_dynamic*2/LD) --> sqrt(13.2*2/23)

Evaluating ... ...

u_Fluid = 1.07136645782688

STEP 3: Convert Result to Output's Unit

1.07136645782688 Meter per Second --> No Conversion Required

FINAL ANSWER

1.07136645782688 ≈ 1.071366 Meter per Second <-- Fluid Velocity

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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Velocity of Fluid given Dynamic Pressure Formula

Fluid Velocity = sqrt(Dynamic Pressure*2/Liquid Density)
u_Fluid = sqrt(P_dynamic*2/LD)

What is dynamic pressure?

Dynamic Pressure is defined as the pressure on a surface at which a flowing fluid is brought to rest in excess of the pressure on it when the fluid is not flowing. Dynamic pressure is the kinetic energy per unit volume of a fluid. In simplified cases, the dynamic pressure is equal to the difference between the stagnation pressure and the static pressure.

How to Calculate Velocity of Fluid given Dynamic Pressure?

Velocity of Fluid given Dynamic Pressure calculator uses Fluid Velocity = sqrt(Dynamic Pressure*2/Liquid Density) to calculate the Fluid Velocity, The Velocity of Fluid given Dynamic Pressure formula is defined as the length of the flow velocity vector is the flow speed and is a scalar. Fluid Velocity is denoted by u_Fluid symbol.

How to calculate Velocity of Fluid given Dynamic Pressure using this online calculator? To use this online calculator for Velocity of Fluid given Dynamic Pressure, enter Dynamic Pressure (P_dynamic) & Liquid Density (LD) and hit the calculate button. Here is how the Velocity of Fluid given Dynamic Pressure calculation can be explained with given input values -> 1.071366 = sqrt(13.2*2/23).

FAQ

What is Velocity of Fluid given Dynamic Pressure?

The Velocity of Fluid given Dynamic Pressure formula is defined as the length of the flow velocity vector is the flow speed and is a scalar and is represented as u_Fluid = sqrt(P_dynamic*2/LD) or Fluid Velocity = sqrt(Dynamic Pressure*2/Liquid Density). Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid & Liquid Density is mass per unit volume of the liquid.

How to calculate Velocity of Fluid given Dynamic Pressure?

The Velocity of Fluid given Dynamic Pressure formula is defined as the length of the flow velocity vector is the flow speed and is a scalar is calculated using Fluid Velocity = sqrt(Dynamic Pressure*2/Liquid Density). To calculate Velocity of Fluid given Dynamic Pressure, you need Dynamic Pressure (P_dynamic) & Liquid Density (LD). With our tool, you need to enter the respective value for Dynamic Pressure & Liquid Density and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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