Local Velocity of Sound Calculator

✖Ratio of Specific Heat Capacities, also known as the adiabatic index, the ratio of specific heats,is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.ⓘ Ratio of Specific Heat Capacities [γ]			+10% -10%
✖Temperature of Medium is defined as the degree of hotness or coldness of the Transparent medium.ⓘ Temperature of Medium [T_m]			+10% -10%

✖Local Velocity of Sound is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium.ⓘ Local Velocity of Sound [a]

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Formula

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Local Velocity of Sound

Formula

`"a" = sqrt(("γ"*"[R]"*"T"_{"m"}))`

Example

`"201.0181m/s"=sqrt(("16.2"*"[R]"*"300K"))`

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Download Convection Heat Transfer Formulas PDF

Local Velocity of Sound Solution

STEP 0: Pre-Calculation Summary

Formula Used

Local Velocity of Sound = sqrt((Ratio of Specific Heat Capacities*[R]*Temperature of Medium))
a = sqrt((γ*[R]*T_m))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

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

Local Velocity of Sound - (Measured in Meter per Second) - Local Velocity of Sound is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium.
Ratio of Specific Heat Capacities - Ratio of Specific Heat Capacities, also known as the adiabatic index, the ratio of specific heats,is the ratio of the heat capacity at constant pressure to heat capacity at constant volume.
Temperature of Medium - (Measured in Kelvin) - Temperature of Medium is defined as the degree of hotness or coldness of the Transparent medium.

STEP 1: Convert Input(s) to Base Unit

Ratio of Specific Heat Capacities: 16.2 --> No Conversion Required
Temperature of Medium: 300 Kelvin --> 300 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = sqrt((γ*[R]*T_m)) --> sqrt((16.2*[R]*300))

Evaluating ... ...

a = 201.018129342168

STEP 3: Convert Result to Output's Unit

201.018129342168 Meter per Second --> No Conversion Required

FINAL ANSWER

201.018129342168 ≈ 201.0181 Meter per Second <-- Local Velocity of Sound

(Calculation completed in 00.004 seconds)

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Created by Ayush gupta

University School of Chemical Technology-USCT (GGSIPU), New Delhi

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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< 25 Convection Heat Transfer Calculators

Recovery Factor

Go Recovery Factor = ((Adiabatic Wall Temperature-Static Temperature of Free Stream)/(Stagnation Temperature-Static Temperature of Free Stream))

Local Stanton Number

Go Local Stanton Number = Local Heat Transfer Coefficient/(Density of Fluid*Specific Heat at Constant Pressure*Free Stream Velocity)

Correlation for Local Nusselt Number for Laminar Flow on Isothermal Flat Plate

Go Local Nusselt number = (0.3387*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3)))/(1+((0.0468/Prandtl Number)^(2/3)))^(1/4)

Correlation for Nusselt Number for Constant Heat Flux

Go Local Nusselt number = (0.4637*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3)))/(1+((0.0207/Prandtl Number)^(2/3)))^(1/4)

Local Velocity of Sound

Go Local Velocity of Sound = sqrt((Ratio of Specific Heat Capacities*[R]*Temperature of Medium))

Drag Coefficient for Bluff Bodies

Go Drag Coefficient = (2*Drag Force)/(Frontal Area*Density of Fluid*(Free Stream Velocity^2))

Drag Force for Bluff Bodies

Go Drag Force = (Drag Coefficient*Frontal Area*Density of Fluid*(Free Stream Velocity^2))/2

Shear Stress at Wall given Friction Coefficient

Go Shear Stress = (Friction Coefficient*Density of Fluid*(Free Stream Velocity^2))/2

Reynolds Number given Mass Velocity

Go Reynolds Number in Tube = (Mass Velocity*Diameter of Tube)/(Dynamic Viscosity)

Mass Flow Rate from Continuity Relation for One Dimensional Flow in Tube

Go Mass Flow Rate = Density of Fluid*Cross Sectional Area*Mean velocity

Nusselt Number for Plate heated over its Entire Length

Go Nusselt Number at Location L = 0.664*((Reynolds Number)^(1/2))*(Prandtl Number^(1/3))

Local Stanton Number given Prandtl Number

Go Local Stanton Number = (0.332*(Local Reynolds Number^(1/2)))/(Prandtl Number^(2/3))

Local Nusselt Number for Constant Heat Flux given Prandtl Number

Go Local Nusselt number = 0.453*(Local Reynolds Number^(1/2))*(Prandtl Number^(1/3))

Local Nusselt Number for Plate Heated over its Entire Length

Go Local Nusselt number = 0.332*(Prandtl Number^(1/3))*(Local Reynolds Number^(1/2))

Nusselt Number for Turbulent Flow in Smooth Tube

Go Nusselt Number = 0.023*(Reynolds Number in Tube^(0.8))*(Prandtl Number^(0.4))

Local Stanton Number given Local Friction Coefficient

Go Local Stanton Number = Local Friction Coefficient/(2*(Prandtl Number^(2/3)))

Local Velocity of Sound when Air Behaves as Ideal Gas

Go Local Velocity of Sound = 20.045*sqrt((Temperature of Medium))

Mass Velocity

Go Mass Velocity = Mass Flow Rate/Cross Sectional Area

Mass Velocity given Mean Velocity

Go Mass Velocity = Density of Fluid*Mean velocity

Local Friction Coefficient given Local Reynolds Number

Go Local Friction Coefficient = 2*0.332*(Local Reynolds Number^(-0.5))

Local Skin Friction Coefficient for Turbulent Flow on Flat Plates

Go Local Friction Coefficient = 0.0592*(Local Reynolds Number^(-1/5))

Friction Factor given Reynolds Number for Flow in Smooth Tubes

Go Fanning Friction Factor = 0.316/((Reynolds Number in Tube)^(1/4))

Stanton Number given Friction Factor for Turbulent Flow in Tube

Go Stanton Number = Fanning Friction Factor/8

Recovery Factor for Gases with Prandtl Number near Unity under Turbulent Flow

Go Recovery Factor = Prandtl Number^(1/3)

Recovery Factor for Gases with Prandtl Number near Unity under Laminar Flow

Go Recovery Factor = Prandtl Number^(1/2)

Local Velocity of Sound Formula

Local Velocity of Sound = sqrt((Ratio of Specific Heat Capacities*[R]*Temperature of Medium))
a = sqrt((γ*[R]*T_m))

What is Convection?

Convection is the process of heat transfer by the bulk movement of molecules within fluids such as gases and liquids. The initial heat transfer between the object and the fluid takes place through conduction, but the bulk heat transfer happens due to the motion of the fluid. Convection is the process of heat transfer in fluids by the actual motion of matter. It happens in liquids and gases. It may be natural or forced. It involves a bulk transfer of portions of the fluid.

What are the Types of Convection?

There are two types of convection, and they are: Natural convection: When convection takes place due to buoyant force as there is a difference in densities caused by the difference in temperatures it is known as natural convection. Examples of natural convection are oceanic winds. Forced convection: When external sources such as fans and pumps are used for creating induced convection, it is known as forced convection. Examples of forced convection are using water heaters or geysers for instant heating of water and using a fan on a hot summer day.

How to Calculate Local Velocity of Sound?

Local Velocity of Sound calculator uses Local Velocity of Sound = sqrt((Ratio of Specific Heat Capacities*[R]*Temperature of Medium)) to calculate the Local Velocity of Sound, The Local Velocity of Sound formula is defined as the function of Ratio of specific heat capacities (Cp / Cv), acceleration due to gravity, universal gas constant and Temperature of medium. A sound wave is a pressure disturbance that travels through a medium by means of particle-to-particle interaction. As one particle becomes disturbed, it exerts a force on the next adjacent particle, thus disturbing that particle from rest and transporting the energy through the medium. Like any wave, the speed of a sound wave refers to how fast the disturbance is passed from particle to particle. Local Velocity of Sound is denoted by a symbol.

How to calculate Local Velocity of Sound using this online calculator? To use this online calculator for Local Velocity of Sound, enter Ratio of Specific Heat Capacities (γ) & Temperature of Medium (T_m) and hit the calculate button. Here is how the Local Velocity of Sound calculation can be explained with given input values -> 56.94419 = sqrt((16.2*[R]*300)).

FAQ

What is Local Velocity of Sound?

The Local Velocity of Sound formula is defined as the function of Ratio of specific heat capacities (Cp / Cv), acceleration due to gravity, universal gas constant and Temperature of medium. A sound wave is a pressure disturbance that travels through a medium by means of particle-to-particle interaction. As one particle becomes disturbed, it exerts a force on the next adjacent particle, thus disturbing that particle from rest and transporting the energy through the medium. Like any wave, the speed of a sound wave refers to how fast the disturbance is passed from particle to particle and is represented as a = sqrt((γ*[R]*T_m)) or Local Velocity of Sound = sqrt((Ratio of Specific Heat Capacities*[R]*Temperature of Medium)). Ratio of Specific Heat Capacities, also known as the adiabatic index, the ratio of specific heats,is the ratio of the heat capacity at constant pressure to heat capacity at constant volume & Temperature of Medium is defined as the degree of hotness or coldness of the Transparent medium.

How to calculate Local Velocity of Sound?

The Local Velocity of Sound formula is defined as the function of Ratio of specific heat capacities (Cp / Cv), acceleration due to gravity, universal gas constant and Temperature of medium. A sound wave is a pressure disturbance that travels through a medium by means of particle-to-particle interaction. As one particle becomes disturbed, it exerts a force on the next adjacent particle, thus disturbing that particle from rest and transporting the energy through the medium. Like any wave, the speed of a sound wave refers to how fast the disturbance is passed from particle to particle is calculated using Local Velocity of Sound = sqrt((Ratio of Specific Heat Capacities*[R]*Temperature of Medium)). To calculate Local Velocity of Sound, you need Ratio of Specific Heat Capacities (γ) & Temperature of Medium (T_m). With our tool, you need to enter the respective value for Ratio of Specific Heat Capacities & Temperature of Medium and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Local Velocity of Sound?

In this formula, Local Velocity of Sound uses Ratio of Specific Heat Capacities & Temperature of Medium. We can use 1 other way(s) to calculate the same, which is/are as follows -

Local Velocity of Sound = 20.045*sqrt((Temperature of Medium))

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