Speed of Sound Downstream of Sound Wave Calculator

✖The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow.ⓘ Specific Heat Ratio [γ]			+10% -10%
✖Flow Velocity Upstream of Sound represents the velocity of a fluid flow or airflow before being influenced by a sound wave.ⓘ Flow Velocity Upstream of Sound [u₁]			+10% -10%
✖Flow Velocity Downstream of Sound represents the velocity of a fluid flow or airflow after being influenced by a sound wave.ⓘ Flow Velocity Downstream of Sound [u₂]			+10% -10%
✖Sound Speed Upstream refers to the speed of sound in a medium before passing through a sound wave.ⓘ Sound Speed Upstream [a₁]			+10% -10%

✖Sound Speed Downstream refers to the speed of sound in a medium after passing through a sound wave or disturbance.ⓘ Speed of Sound Downstream of Sound Wave [a₂]

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Speed of Sound Downstream of Sound Wave Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sound Speed Downstream = sqrt((Specific Heat Ratio-1)*((Flow Velocity Upstream of Sound^2-Flow Velocity Downstream of Sound^2)/2+Sound Speed Upstream^2/(Specific Heat Ratio-1)))
a₂ = sqrt((γ-1)*((u₁^2-u₂^2)/2+a₁^2/(γ-1)))
This formula uses 1 Functions, 5 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

Sound Speed Downstream - (Measured in Meter per Second) - Sound Speed Downstream refers to the speed of sound in a medium after passing through a sound wave or disturbance.
Specific Heat Ratio - The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow.
Flow Velocity Upstream of Sound - (Measured in Meter per Second) - Flow Velocity Upstream of Sound represents the velocity of a fluid flow or airflow before being influenced by a sound wave.
Flow Velocity Downstream of Sound - (Measured in Meter per Second) - Flow Velocity Downstream of Sound represents the velocity of a fluid flow or airflow after being influenced by a sound wave.
Sound Speed Upstream - (Measured in Meter per Second) - Sound Speed Upstream refers to the speed of sound in a medium before passing through a sound wave.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio: 1.4 --> No Conversion Required
Flow Velocity Upstream of Sound: 80 Meter per Second --> 80 Meter per Second No Conversion Required
Flow Velocity Downstream of Sound: 45 Meter per Second --> 45 Meter per Second No Conversion Required
Sound Speed Upstream: 12 Meter per Second --> 12 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a₂ = sqrt((γ-1)*((u₁^2-u₂^2)/2+a₁^2/(γ-1))) --> sqrt((1.4-1)*((80^2-45^2)/2+12^2/(1.4-1)))

Evaluating ... ...

a₂ = 31.9217793990247

STEP 3: Convert Result to Output's Unit

31.9217793990247 Meter per Second --> No Conversion Required

FINAL ANSWER

31.9217793990247 ≈ 31.92178 Meter per Second <-- Sound Speed Downstream

(Calculation completed in 00.020 seconds)

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Home » Physics » Aerodynamics » Compressible Flow » Aerospace » Governing Equations and Sound Wave » Speed of Sound Downstream of Sound Wave

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Created by Ravi Khiyani

Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

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< Governing Equations and Sound Wave Calculators

Speed of Sound

LaTeX Go Speed of Sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Static Temperature)

Mayer's Formula

LaTeX Go Specific Gas Constant = Specific Heat Capacity at Constant Pressure-Specific Heat Capacity at Constant Volume

Mach Number

LaTeX Go Mach Number = Speed of Object/Speed of Sound

Mach Angle

LaTeX Go Mach Angle = asin(1/Mach Number)

Speed of Sound Downstream of Sound Wave Formula

LaTeX Go

On what factors does the speed of sound depends?

The speed of sound in a medium is determined by a combination of the medium's rigidity (or compressibility in gases) and its density. The more rigid (or less compressible) the medium, the faster the speed of sound. The greater the density of a medium, the slower the speed of sound.

How to Calculate Speed of Sound Downstream of Sound Wave?

Speed of Sound Downstream of Sound Wave calculator uses Sound Speed Downstream = sqrt((Specific Heat Ratio-1)*((Flow Velocity Upstream of Sound^2-Flow Velocity Downstream of Sound^2)/2+Sound Speed Upstream^2/(Specific Heat Ratio-1))) to calculate the Sound Speed Downstream, The Speed of Sound Downstream of Sound Wave formula calculates the flow velocity downstream of the sound wave by using the relationship between the Mach number and the speed of sound, considering that the flow is isentropic. It indicates how the flow velocity behind the sound wave relates to the speed of sound in the medium. Sound Speed Downstream is denoted by a₂ symbol.

How to calculate Speed of Sound Downstream of Sound Wave using this online calculator? To use this online calculator for Speed of Sound Downstream of Sound Wave, enter Specific Heat Ratio (γ), Flow Velocity Upstream of Sound (u₁), Flow Velocity Downstream of Sound (u₂) & Sound Speed Upstream (a₁) and hit the calculate button. Here is how the Speed of Sound Downstream of Sound Wave calculation can be explained with given input values -> 31.92178 = sqrt((1.4-1)*((80^2-45^2)/2+12^2/(1.4-1))).

FAQ

What is Speed of Sound Downstream of Sound Wave?

The Speed of Sound Downstream of Sound Wave formula calculates the flow velocity downstream of the sound wave by using the relationship between the Mach number and the speed of sound, considering that the flow is isentropic. It indicates how the flow velocity behind the sound wave relates to the speed of sound in the medium and is represented as a₂ = sqrt((γ-1)*((u₁^2-u₂^2)/2+a₁^2/(γ-1))) or Sound Speed Downstream = sqrt((Specific Heat Ratio-1)*((Flow Velocity Upstream of Sound^2-Flow Velocity Downstream of Sound^2)/2+Sound Speed Upstream^2/(Specific Heat Ratio-1))). The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow, Flow Velocity Upstream of Sound represents the velocity of a fluid flow or airflow before being influenced by a sound wave, Flow Velocity Downstream of Sound represents the velocity of a fluid flow or airflow after being influenced by a sound wave & Sound Speed Upstream refers to the speed of sound in a medium before passing through a sound wave.

How to calculate Speed of Sound Downstream of Sound Wave?

The Speed of Sound Downstream of Sound Wave formula calculates the flow velocity downstream of the sound wave by using the relationship between the Mach number and the speed of sound, considering that the flow is isentropic. It indicates how the flow velocity behind the sound wave relates to the speed of sound in the medium is calculated using Sound Speed Downstream = sqrt((Specific Heat Ratio-1)*((Flow Velocity Upstream of Sound^2-Flow Velocity Downstream of Sound^2)/2+Sound Speed Upstream^2/(Specific Heat Ratio-1))). To calculate Speed of Sound Downstream of Sound Wave, you need Specific Heat Ratio (γ), Flow Velocity Upstream of Sound (u₁), Flow Velocity Downstream of Sound (u₂) & Sound Speed Upstream (a₁). With our tool, you need to enter the respective value for Specific Heat Ratio, Flow Velocity Upstream of Sound, Flow Velocity Downstream of Sound & Sound Speed Upstream 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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