Mach Number of Compressible Fluid Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mach Number = Velocity of Fluid/Speed of Sound
Ma = V/c
This formula uses 3 Variables
Variables Used
Mach Number - Mach Number is defined as the ratio of the actual speed of the fluid (or an object in still fluid) to the speed of sound in the same fluid at the same state.
Velocity of Fluid - (Measured in Meter per Second) - Velocity of Fluid is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.
Speed of Sound - (Measured in Meter per Second) - Speed of Sound is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium.
STEP 1: Convert Input(s) to Base Unit
Velocity of Fluid: 101.6 Meter per Second --> 101.6 Meter per Second No Conversion Required
Speed of Sound: 343 Meter per Second --> 343 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ma = V/c --> 101.6/343
Evaluating ... ...
Ma = 0.296209912536443
STEP 3: Convert Result to Output's Unit
0.296209912536443 --> No Conversion Required
FINAL ANSWER
0.296209912536443 0.29621 <-- Mach Number
(Calculation completed in 00.020 seconds)

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University School of Chemical Technology-USCT (GGSIPU), New Delhi
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25 Properties of Fluids Calculators

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Torque on Cylinder given Angular Velocity and Radius of Inner Cylinder
Go Torque = (Dynamic Viscosity*2*pi*(Radius of Inner Cylinder^3)*Angular Velocity*Length of Cylinder)/(Thickness of Fluid Layer)
Height of Capillary Rise in Capillary Tube
Go Height of Capillary Rise = (2*Surface Tension*(cos(Contact Angle)))/(Density*[g]*Radius of Capillary Tube)
Torque on Cylinder given Radius, Length and Viscosity
Go Torque = (Dynamic Viscosity*4*(pi^2)*(Radius of Inner Cylinder^3)*Revolutions per Second*Length of Cylinder)/(Thickness of Fluid Layer)
Weight of Liquid Column in Capillary Tube
Go Weight of Liquid Column in Capillary = Density*[g]*pi*(Radius of Capillary Tube^2)*Height of Capillary Rise
Wetted Surface Area
Go Wetted Surface Area = 2*pi*Radius of Inner Cylinder*Length of Cylinder
Enthalpy given Flow Work
Go Enthalpy = Internal Energy+(Pressure/Density of Liquid)
Enthalpy given Specific Volume
Go Enthalpy = Internal Energy+(Pressure*Specific Volume)
Tangential Velocity given Angular Velocity
Go Tangential Velocity of Cylinder = Angular Velocity*Radius of Inner Cylinder
Angular Velocity given Revolution Per Unit Time
Go Angular Velocity = 2*pi*Revolutions per Second
Mach Number of Compressible Fluid Flow
Go Mach Number = Velocity of Fluid/Speed of Sound
Specific Gravity of Fluid given Density of Water
Go Specific Gravity = Density/Density of Water
Relative Density of Fluid
Go Relative Density = Density/Density of Water
Specific Total Energy
Go Specific Total Energy = Total Energy/Mass
Flow Work given Density
Go Flow Work = Pressure/Density of Liquid
Flow Work given Specific Volume
Go Flow Work = Pressure*Specific Volume
Shear Stress Acting on Fluid Layer
Go Shear Stress = Shear Force/Area
Shear Force given Shear Stress
Go Shear Force = Shear Stress*Area
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Specific Weight of Substance
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Go Specific Volume = Volume/Mass
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Volume Expansivity for Ideal Gas
Go Coefficient of Volume Expansion = 1/(Absolute Temperature)
Density of Fluid
Go Density = Mass/Volume
Specific Volume given Density
Go Specific Volume = 1/Density

Mach Number of Compressible Fluid Flow Formula

Mach Number = Velocity of Fluid/Speed of Sound
Ma = V/c

What is Fluid Mechanics?

Fluid dynamics is “the branch of applied science that is concerned with the movement of liquids and gases”. It involves a wide range of applications such as calculating force & moments, determining the mass flow rate of petroleum through pipelines, predicting weather patterns, understanding nebulae in interstellar space, and modelling fission weapon detonation.

What are the Applications of Fluid Dynamics?

Fluid Dynamics can be applied in the following ways: Fluid dynamics is used to calculate the forces acting upon the aeroplane. It is used to find the flow rates of material such as petroleum from pipelines. It can also be used in traffic engineering (traffic treated as continuous liquid flow).

How to Calculate Mach Number of Compressible Fluid Flow?

Mach Number of Compressible Fluid Flow calculator uses Mach Number = Velocity of Fluid/Speed of Sound to calculate the Mach Number, The Mach Number of Compressible Fluid Flow formula is defined as the ratio of the actual speed of the fluid (or an object in still fluid) to the speed of sound in the same fluid at the same state. Mach number can also be defined as the ratio of inertial forces to elastic forces. If Ma is less than about 1/3, the flow may be approximated as incompressible since the effects of compressibility become significant only when the Mach number exceeds this value. Note that the Mach number depends on the speed of sound, which depends on the state of the fluid. Therefore, the Mach number of an aircraft cruising at constant velocity in still air may be different at different locations. The flow is called sonic when Ma = 1, subsonic when Ma < 1, supersonic when Ma > 1, hypersonic when Ma >> 1, and transonic when Ma ≅ 1. Mach Number is denoted by Ma symbol.

How to calculate Mach Number of Compressible Fluid Flow using this online calculator? To use this online calculator for Mach Number of Compressible Fluid Flow, enter Velocity of Fluid (V) & Speed of Sound (c) and hit the calculate button. Here is how the Mach Number of Compressible Fluid Flow calculation can be explained with given input values -> 0.29621 = 101.6/343.

FAQ

What is Mach Number of Compressible Fluid Flow?
The Mach Number of Compressible Fluid Flow formula is defined as the ratio of the actual speed of the fluid (or an object in still fluid) to the speed of sound in the same fluid at the same state. Mach number can also be defined as the ratio of inertial forces to elastic forces. If Ma is less than about 1/3, the flow may be approximated as incompressible since the effects of compressibility become significant only when the Mach number exceeds this value. Note that the Mach number depends on the speed of sound, which depends on the state of the fluid. Therefore, the Mach number of an aircraft cruising at constant velocity in still air may be different at different locations. The flow is called sonic when Ma = 1, subsonic when Ma < 1, supersonic when Ma > 1, hypersonic when Ma >> 1, and transonic when Ma ≅ 1 and is represented as Ma = V/c or Mach Number = Velocity of Fluid/Speed of Sound. Velocity of Fluid is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time & Speed of Sound is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium.
How to calculate Mach Number of Compressible Fluid Flow?
The Mach Number of Compressible Fluid Flow formula is defined as the ratio of the actual speed of the fluid (or an object in still fluid) to the speed of sound in the same fluid at the same state. Mach number can also be defined as the ratio of inertial forces to elastic forces. If Ma is less than about 1/3, the flow may be approximated as incompressible since the effects of compressibility become significant only when the Mach number exceeds this value. Note that the Mach number depends on the speed of sound, which depends on the state of the fluid. Therefore, the Mach number of an aircraft cruising at constant velocity in still air may be different at different locations. The flow is called sonic when Ma = 1, subsonic when Ma < 1, supersonic when Ma > 1, hypersonic when Ma >> 1, and transonic when Ma ≅ 1 is calculated using Mach Number = Velocity of Fluid/Speed of Sound. To calculate Mach Number of Compressible Fluid Flow, you need Velocity of Fluid (V) & Speed of Sound (c). With our tool, you need to enter the respective value for Velocity of Fluid & Speed of Sound 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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