Isentropic Change across Sound Wave Solution

STEP 0: Pre-Calculation Summary
Formula Used
Isentropic Change = Speed of Sound^2
dpdρ = a^2
This formula uses 2 Variables
Variables Used
Isentropic Change - (Measured in Joule per Kilogram) - Isentropic Change is defined as the rate of change of pressure with respect to density.
Speed of Sound - (Measured in Meter per Second) - The Speed of Sound is defined as speed of the dynamic propagation of sound waves.
STEP 1: Convert Input(s) to Base Unit
Speed of Sound: 343 Meter per Second --> 343 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dpdρ = a^2 --> 343^2
Evaluating ... ...
dpdρ = 117649
STEP 3: Convert Result to Output's Unit
117649 Joule per Kilogram -->117649 Square Meter per Square Second (Check conversion ​here)
FINAL ANSWER
117649 Square Meter per Square Second <-- Isentropic Change
(Calculation completed in 00.004 seconds)

Credits

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Created by Ravi Khiyani
Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
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18 Governing Equations and Sound Wave Calculators

Speed of Sound Downstream of Sound Wave
​ Go 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)))
Speed of Sound Upstream of Sound Wave
​ Go Sound Speed Upstream = sqrt((Specific Heat Ratio-1)*((Flow Velocity Downstream of Sound^2-Flow Velocity Upstream of Sound^2)/2+Sound Speed Downstream^2/(Specific Heat Ratio-1)))
Flow Velocity Downstream of Sound Wave
​ Go Flow Velocity Downstream of Sound = sqrt(2*((Sound Speed Upstream^2-Sound Speed Downstream^2)/(Specific Heat Ratio-1)+Flow Velocity Upstream of Sound^2/2))
Flow Velocity Upstream of Sound Wave
​ Go Flow Velocity Upstream of Sound = sqrt(2*((Sound Speed Downstream^2-Sound Speed Upstream^2)/(Specific Heat Ratio-1)+Flow Velocity Downstream of Sound^2/2))
Ratio of Stagnation and Static Pressure
​ Go Stagnation to Static Pressure = (1+((Specific Heat Ratio-1)/2)*Mach Number^2)^(Specific Heat Ratio/(Specific Heat Ratio-1))
Critical Pressure
​ Go Critical Pressure = (2/(Specific Heat Ratio+1))^(Specific Heat Ratio/(Specific Heat Ratio-1))*Stagnation Pressure
Stagnation Temperature
​ Go Stagnation Temperature = Static Temperature+(Flow Velocity Downstream of Sound^2)/(2*Specific Heat Capacity at Constant Pressure)
Speed of Sound
​ Go Speed of Sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Static Temperature)
Ratio of Stagnation and Static Density
​ Go Stagnation to Static Density = (1+((Specific Heat Ratio-1)/2)*Mach Number^2)^(1/(Specific Heat Ratio-1))
Critical Density
​ Go Critical Density = Stagnation Density*(2/(Specific Heat Ratio+1))^(1/(Specific Heat Ratio-1))
Mayer's Formula
​ Go Specific Gas Constant = Specific Heat Capacity at Constant Pressure-Specific Heat Capacity at Constant Volume
Ratio of Stagnation and Static Temperature
​ Go Stagnation to Static Temperature = 1+((Specific Heat Ratio-1)/2)*Mach Number^2
Critical Temperature
​ Go Critical Temperature = (2*Stagnation Temperature)/(Specific Heat Ratio+1)
Isentropic Compressibility for given Density and Speed of Sound
​ Go Isentropic Compressibility = 1/(Density*Speed of Sound^2)
Mach Number
​ Go Mach Number = Speed of Object/Speed of Sound
Speed of Sound given Isentropic Change
​ Go Speed of Sound = sqrt(Isentropic Change)
Mach Angle
​ Go Mach Angle = asin(1/Mach Number)
Isentropic Change across Sound Wave
​ Go Isentropic Change = Speed of Sound^2

Isentropic Change across Sound Wave Formula

Isentropic Change = Speed of Sound^2
dpdρ = a^2

Why is speed of sound isentropic?

The transmission of a small disturbance through a gas is an isentropic process. The conditions in the gas are the same before and after the disturbance passes through. Because the speed of transmission depends on molecular collisions, the speed of sound depends on the state of the gas.

How to Calculate Isentropic Change across Sound Wave?

Isentropic Change across Sound Wave calculator uses Isentropic Change = Speed of Sound^2 to calculate the Isentropic Change, The Isentropic Change across Sound Wave formula calculates the isentropic change that has been taking place across the sound wave, isentropic change refers to a process in which a fluid undergoes a reversible, adiabatic, and frictionless transformation. When a fluid passes through a sound wave, it undergoes such an isentropic change. Isentropic Change is denoted by dpdρ symbol.

How to calculate Isentropic Change across Sound Wave using this online calculator? To use this online calculator for Isentropic Change across Sound Wave, enter Speed of Sound (a) and hit the calculate button. Here is how the Isentropic Change across Sound Wave calculation can be explained with given input values -> 117649 = 343^2.

FAQ

What is Isentropic Change across Sound Wave?
The Isentropic Change across Sound Wave formula calculates the isentropic change that has been taking place across the sound wave, isentropic change refers to a process in which a fluid undergoes a reversible, adiabatic, and frictionless transformation. When a fluid passes through a sound wave, it undergoes such an isentropic change and is represented as dpdρ = a^2 or Isentropic Change = Speed of Sound^2. The Speed of Sound is defined as speed of the dynamic propagation of sound waves.
How to calculate Isentropic Change across Sound Wave?
The Isentropic Change across Sound Wave formula calculates the isentropic change that has been taking place across the sound wave, isentropic change refers to a process in which a fluid undergoes a reversible, adiabatic, and frictionless transformation. When a fluid passes through a sound wave, it undergoes such an isentropic change is calculated using Isentropic Change = Speed of Sound^2. To calculate Isentropic Change across Sound Wave, you need Speed of Sound (a). With our tool, you need to enter the respective value for 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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