## 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 Meter per Second --> 101 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 --> 101/343
Evaluating ... ...
Ma = 0.294460641399417
STEP 3: Convert Result to Output's Unit
0.294460641399417 --> No Conversion Required
0.294460641399417 <-- Mach Number
(Calculation completed in 00.016 seconds)
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University School of Chemical Technology-USCT (GGSIPU), New Delhi
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## < 10+ Properties of Fluids Calculators

Enthalpy given Flow Work

## Enthalpy given Flow Work

Formula
"h" = "u"+("P"/"ρ"_{"L"})

Example
"88.75J/kg"="88J/kg"+("750Pa"/"1000kg/m³")

Calculator
LaTeX
Enthalpy = Internal Energy+(Pressure/Density of Liquid)
Enthalpy given Specific Volume

## Enthalpy given Specific Volume

Formula
"h" = "u"+("P"*"v")

Example
"12613J/kg"="88J/kg"+("750Pa"*"16.7m³/kg")

Calculator
LaTeX
Enthalpy = Internal Energy+(Pressure*Specific Volume)
Specific Gravity of Fluid given Density of Water

## Specific Gravity of Fluid given Density of Water

Formula
"SG" = "ρ"/"ρ"_{"w"}

Example
"0.130391"="130kg/m³"/"997kg/m³"

Calculator
LaTeX
Specific Gravity = Density of Substance/Density of Water
Relative Density of Fluid

## Relative Density of Fluid

Formula
"RD" = "ρ"/"ρ"_{"w"}

Example
"0.130391"="130kg/m³"/"997kg/m³"

Calculator
LaTeX
Relative Density = Density of Substance/Density of Water
Specific Total Energy

## Specific Total Energy

Formula
"e" = "E"/"m"

Example
"0.894309J/kg"="22J"/"24.6kg"

Calculator
LaTeX
Specific Total Energy = Total Energy/Mass
Flow Work given Specific Volume

## Flow Work given Specific Volume

Formula
"FW" = "P"*"v"

Example
"12525J/kg"="750Pa"*"16.7m³/kg"

Calculator
LaTeX
Flow Work = Pressure*Specific Volume
Weight Density given Density

## Weight Density given Density

Formula
"γ"_{"s"} = "ρ"*"[g]"

Example
"9777.23N/m³"="997kg/m³"*"[g]"

Calculator
LaTeX
Specific Weight = Density*[g]
Specific Volume of Fluid given Mass

## Specific Volume of Fluid given Mass

Formula
"v" = "V"_{"T"}/"m"

Example
"2.560976m³/kg"="63m³"/"24.6kg"

Calculator
LaTeX
Specific Volume = Volume/Mass
Density of Fluid

## Density of Fluid

Formula
"ρ" = "m"/"V"_{"T"}

Example
"0.390476kg/m³"="24.6kg"/"63m³"

Calculator
LaTeX
Density = Mass/Volume
Specific Volume given Density

## Specific Volume given Density

Formula
"v" = 1/"ρ"

Example
"0.001003m³/kg"=1/"997kg/m³"

Calculator
LaTeX
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 -> 0.294461 = 101/343.

### 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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