Velocity of Fluid given Dynamic Pressure Calculator

✖The Dynamic Pressure is the pressure associated with the motion of a fluid, representing the kinetic energy per unit volume of the fluid flow.ⓘ Dynamic Pressure [P_d]			+10% -10%
✖The Liquid Density is the mass per unit volume of a liquid, influencing its behavior under pressure and temperature changes in fluid mechanics.ⓘ Liquid Density [LD]			+10% -10%

✖The Fluid Velocity is the speed at which a fluid flows through a given point in a system, influencing pressure and energy transfer in fluid mechanics.ⓘ Velocity of Fluid given Dynamic Pressure [u_F]

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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_F = sqrt(P_d*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) - The Fluid Velocity is the speed at which a fluid flows through a given point in a system, influencing pressure and energy transfer in fluid mechanics.
Dynamic Pressure - (Measured in Pascal) - The Dynamic Pressure is the pressure associated with the motion of a fluid, representing the kinetic energy per unit volume of the fluid flow.
Liquid Density - (Measured in Kilogram per Cubic Meter) - The Liquid Density is the mass per unit volume of a liquid, influencing its behavior under pressure and temperature changes in fluid mechanics.

STEP 1: Convert Input(s) to Base Unit

Dynamic Pressure: 13.2 Pascal --> 13.2 Pascal No Conversion Required
Liquid Density: 0.176792 Kilogram per Cubic Meter --> 0.176792 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u_F = sqrt(P_d*2/LD) --> sqrt(13.2*2/0.176792)

Evaluating ... ...

u_F = 12.2199846109757

STEP 3: Convert Result to Output's Unit

12.2199846109757 Meter per Second --> No Conversion Required

FINAL ANSWER

12.2199846109757 ≈ 12.21998 Meter per Second <-- Fluid Velocity

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< Pressure Relations Calculators

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Velocity of Fluid given Dynamic Pressure Formula

LaTeX Go

Fluid Velocity = sqrt(Dynamic Pressure*2/Liquid Density)
u_F = sqrt(P_d*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, Velocity of Fluid given Dynamic Pressure formula is defined as a relationship that expresses the speed of fluid flow based on the dynamic pressure and the fluid's density. It is essential for understanding fluid dynamics and analyzing the behavior of fluids in various mechanical systems. Fluid Velocity is denoted by u_F 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_d) & 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 -> 12.21998 = sqrt(13.2*2/0.176792).

FAQ

What is Velocity of Fluid given Dynamic Pressure?

Velocity of Fluid given Dynamic Pressure formula is defined as a relationship that expresses the speed of fluid flow based on the dynamic pressure and the fluid's density. It is essential for understanding fluid dynamics and analyzing the behavior of fluids in various mechanical systems and is represented as u_F = sqrt(P_d*2/LD) or Fluid Velocity = sqrt(Dynamic Pressure*2/Liquid Density). The Dynamic Pressure is the pressure associated with the motion of a fluid, representing the kinetic energy per unit volume of the fluid flow & The Liquid Density is the mass per unit volume of a liquid, influencing its behavior under pressure and temperature changes in fluid mechanics.

How to calculate Velocity of Fluid given Dynamic Pressure?

Velocity of Fluid given Dynamic Pressure formula is defined as a relationship that expresses the speed of fluid flow based on the dynamic pressure and the fluid's density. It is essential for understanding fluid dynamics and analyzing the behavior of fluids in various mechanical systems is calculated using Fluid Velocity = sqrt(Dynamic Pressure*2/Liquid Density). To calculate Velocity of Fluid given Dynamic Pressure, you need Dynamic Pressure (P_d) & 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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