Velocity of Fluid given Dynamic Pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Fluid Velocity = sqrt(Dynamic Pressure*2/Liquid Density)
uFluid = sqrt(Pdynamic*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
uFluid = sqrt(Pdynamic*2/LD) --> sqrt(13.2*2/23)
Evaluating ... ...
uFluid = 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 00.020 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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25 Pressure Relations Calculators

Depth of Centroid given Center of Pressure
Go Depth of Centroid = (Center of Pressure*Surface area+sqrt((Center of Pressure*Surface area)^2+4*Surface area*Moment of Inertia))/(2*Surface area)
Center of Pressure on Inclined Plane
Go Center of Pressure = Depth of Centroid+(Moment of Inertia*sin(Angle)*sin(Angle))/(Wet Surface Area*Depth of Centroid)
Differential Pressure-Differential Manometer
Go Pressure Changes = Specific weight 2*Height of Column 2+Specific Weight of Manometer liquid*Height of Manometer Liquid-Specific Weight 1*Height of Column 1
Area of Surface Wetted given Center of Pressure
Go Wet Surface Area = Moment of Inertia/((Center of Pressure-Depth of Centroid)*Depth of Centroid)
Height of Fluid 1 given Differential Pressure between Two Points
Go Height of Column 1 = (Pressure Changes+Specific weight 2*Height of Column 2)/Specific Weight 1
Height of Fluid 2 given Differential Pressure between Two Points
Go Height of Column 2 = (Specific Weight 1*Height of Column 1-Pressure Changes)/Specific weight 2
Moment of Inertia of Centroid given Center of Pressure
Go Moment of Inertia = (Center of Pressure-Depth of Centroid)*Wet Surface Area*Depth of Centroid
Center of Pressure
Go Center of Pressure = Depth of Centroid+Moment of Inertia/(Wet Surface Area*Depth of Centroid)
Differential Pressure between Two Points
Go Pressure Changes = Specific Weight 1*Height of Column 1-Specific weight 2*Height of Column 2
Angle of Inclined Manometer given Pressure at Point
Go Angle = asin(Pressure on Point/Specific Weight 1*Length of Inclined Manometer)
Length of Inclined Manometer
Go Length of Inclined Manometer = Pressure a/(Specific Weight 1*sin(Angle))
Pressure using Inclined Manometer
Go Pressure a = Specific Weight 1*Length of Inclined Manometer*sin(Angle)
Absolute Pressure at Height h
Go Absolute pressure = Atmospheric pressure+Specific weight of liquids*Height Absolute
Height of Liquid given its Absolute Pressure
Go Height Absolute = (Absolute pressure-Atmospheric pressure)/Specific Weight
Pressure Wave Velocity in Fluids
Go Velocity of pressure wave = sqrt(Bulk Modulus/Mass Density)
Velocity of Fluid given Dynamic Pressure
Go Fluid Velocity = sqrt(Dynamic Pressure*2/Liquid Density)
Dynamic Pressure Head-Pitot Tube
Go Dynamic Pressure Head = (Fluid Velocity^(2))/(2*Acceleration Due To Gravity)
Diameter of Soap Bubble
Go Diameter of Droplet = (8*Surface Tensions)/Pressure Changes
Surface Tension of Liquid Drop given Change in Pressure
Go Surface Tensions = Pressure Changes*Diameter of Droplet/4
Diameter of Droplet given Change in Pressure
Go Diameter of Droplet = 4*Surface Tensions/Pressure Changes
Mass Density given Velocity of Pressure Wave
Go Mass Density = Bulk Modulus/(Velocity of pressure wave^2)
Surface Tension of Soap Bubble
Go Surface Tensions = Pressure Changes*Diameter of Droplet/8
Dynamic Pressure of Fluid
Go Dynamic Pressure = (Liquid Density*Fluid Velocity^(2))/2
Bulk Modulus given Velocity of Pressure Wave
Go Bulk Modulus = Velocity of pressure wave^2*Mass Density
Density of Liquid given Dynamic Pressure
Go Liquid Density = 2*Dynamic Pressure/(Fluid Velocity^2)

Velocity of Fluid given Dynamic Pressure Formula

Fluid Velocity = sqrt(Dynamic Pressure*2/Liquid Density)
uFluid = sqrt(Pdynamic*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 uFluid 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 (Pdynamic) & 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 uFluid = sqrt(Pdynamic*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 (Pdynamic) & 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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