Mach Number over Flat Plate using Static Temperature and Wall Temperature Calculator

✖Temperature of wall in Kelvin is the wall temperature of the body under a flow.ⓘ Temperature of wall in Kelvin [T_w]			+10% -10%
✖The Static Temperature is defined as the temperature of the gas if it had no ordered motion and was not flowing.ⓘ Static Temperature [T_static]			+10% -10%
✖The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.ⓘ Specific Heat Ratio [γ]			+10% -10%

✖Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.ⓘ Mach Number over Flat Plate using Static Temperature and Wall Temperature [M]

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Formula

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Mach Number over Flat Plate using Static Temperature and Wall Temperature

Formula

`"M" = sqrt(("T"_{"w"}/"T"_{"static"}-1)/(("γ"-1)/2))`

Example

`"0.258199"=sqrt(("357K"/"350K"-1)/(("1.6"-1)/2))`

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Mach Number over Flat Plate using Static Temperature and Wall Temperature Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mach Number = sqrt((Temperature of wall in Kelvin/Static Temperature-1)/((Specific Heat Ratio-1)/2))
M = sqrt((T_w/T_static-1)/((γ-1)/2))
This formula uses 1 Functions, 4 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

Mach Number - Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.
Temperature of wall in Kelvin - (Measured in Kelvin) - Temperature of wall in Kelvin is the wall temperature of the body under a flow.
Static Temperature - (Measured in Kelvin) - The Static Temperature is defined as the temperature of the gas if it had no ordered motion and was not flowing.
Specific Heat Ratio - The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.

STEP 1: Convert Input(s) to Base Unit

Temperature of wall in Kelvin: 357 Kelvin --> 357 Kelvin No Conversion Required
Static Temperature: 350 Kelvin --> 350 Kelvin No Conversion Required
Specific Heat Ratio: 1.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = sqrt((T_w/T_static-1)/((γ-1)/2)) --> sqrt((357/350-1)/((1.6-1)/2))

Evaluating ... ...

M = 0.258198889747161

STEP 3: Convert Result to Output's Unit

0.258198889747161 --> No Conversion Required

FINAL ANSWER

0.258198889747161 ≈ 0.258199 <-- Mach Number

(Calculation completed in 00.006 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< 8 Supersonic Aerothermodynamics Calculators

Mach Number over Flat Plate using Static Temperature and Wall Temperature

Go Mach Number = sqrt((Temperature of wall in Kelvin/Static Temperature-1)/((Specific Heat Ratio-1)/2))

Total Temperature over Flat Plate under Viscous Mach Flow

Go Total Temperature = Static Temperature+Static Temperature*((Specific Heat Ratio-1)/2)*Mach Number^2

Large Mach Number over Flat Plate using Static Temperature and Wall Temperature

Go Mach Number = sqrt((Wall Temperature/Static Temperature)/((Specific Heat Ratio-1)/2))

Total Temperature over Flat Plate under Viscous Very High Mach Flow

Go Total Temperature = Static Temperature*((Specific Heat Ratio-1)/2)*Mach Number^2

Viscosity of Wall using Wall Temperature and Static Temperature

Go Wall Viscosity = Static Viscosity*Wall Temperature/Static Temperature

Wall Density of Fluid over Flat Plate

Go Wall Density = Static density/(Wall Temperature/Static Temperature)

Pressure Ratio for Cold-Wall Case Weak Interaction

Go Pressure Ratio = 1+0.078*Viscous Interaction Similarity Parameter

Pressure Ratio for Cold-Wall Case Strong Interaction

Go Pressure Ratio = 1+0.15*Viscous Interaction Similarity Parameter

Mach Number over Flat Plate using Static Temperature and Wall Temperature Formula

Mach Number = sqrt((Temperature of wall in Kelvin/Static Temperature-1)/((Specific Heat Ratio-1)/2))
M = sqrt((T_w/T_static-1)/((γ-1)/2))

What is Mach number?

Mach number is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound

How to Calculate Mach Number over Flat Plate using Static Temperature and Wall Temperature?

Mach Number over Flat Plate using Static Temperature and Wall Temperature calculator uses Mach Number = sqrt((Temperature of wall in Kelvin/Static Temperature-1)/((Specific Heat Ratio-1)/2)) to calculate the Mach Number, The Mach number over flat plate using static temperature and wall temperature formula is defined as the function of specific heat ratio, wall temperature, and static temperature of the flow. Mach Number is denoted by M symbol.

How to calculate Mach Number over Flat Plate using Static Temperature and Wall Temperature using this online calculator? To use this online calculator for Mach Number over Flat Plate using Static Temperature and Wall Temperature, enter Temperature of wall in Kelvin (T_w), Static Temperature (T_static) & Specific Heat Ratio (γ) and hit the calculate button. Here is how the Mach Number over Flat Plate using Static Temperature and Wall Temperature calculation can be explained with given input values -> 0.258199 = sqrt((357/350-1)/((1.6-1)/2)).

FAQ

What is Mach Number over Flat Plate using Static Temperature and Wall Temperature?

The Mach number over flat plate using static temperature and wall temperature formula is defined as the function of specific heat ratio, wall temperature, and static temperature of the flow and is represented as M = sqrt((T_w/T_static-1)/((γ-1)/2)) or Mach Number = sqrt((Temperature of wall in Kelvin/Static Temperature-1)/((Specific Heat Ratio-1)/2)). Temperature of wall in Kelvin is the wall temperature of the body under a flow, The Static Temperature is defined as the temperature of the gas if it had no ordered motion and was not flowing & The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume.

How to calculate Mach Number over Flat Plate using Static Temperature and Wall Temperature?

The Mach number over flat plate using static temperature and wall temperature formula is defined as the function of specific heat ratio, wall temperature, and static temperature of the flow is calculated using Mach Number = sqrt((Temperature of wall in Kelvin/Static Temperature-1)/((Specific Heat Ratio-1)/2)). To calculate Mach Number over Flat Plate using Static Temperature and Wall Temperature, you need Temperature of wall in Kelvin (T_w), Static Temperature (T_static) & Specific Heat Ratio (γ). With our tool, you need to enter the respective value for Temperature of wall in Kelvin, Static Temperature & Specific Heat Ratio 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 Mach Number?

In this formula, Mach Number uses Temperature of wall in Kelvin, Static Temperature & Specific Heat Ratio. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mach Number = sqrt((Wall Temperature/Static Temperature)/((Specific Heat Ratio-1)/2))

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