Mach Number at Reference Temperature Calculator

✖The Reference temperature is a specific temperature used as a baseline for analyzing thermodynamic properties in hypersonic flow scenarios, particularly for viscous flow over flat plates.ⓘ Reference temperature [T_ref]			+10% -10%
✖The Static Temperature is the temperature of a fluid measured at rest, providing essential information about the thermal state in hypersonic flow scenarios.ⓘ Static Temperature [T_e]			+10% -10%
✖The Wall Temperature is the temperature at the surface of a wall in a hypersonic flow, influencing heat transfer and fluid dynamics in viscous flow cases.ⓘ Wall Temperature [Tw]			+10% -10%

✖The Mach Number is a dimensionless quantity representing the ratio of the speed of an object to the speed of sound in the surrounding medium.ⓘ Mach Number at Reference Temperature [M]

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Mach Number at Reference Temperature Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mach Number = sqrt((Reference temperature/Static Temperature-1-0.58*(Wall Temperature/Static Temperature-1))/0.032)
M = sqrt((T_ref/T_e-1-0.58*(Tw/T_e-1))/0.032)
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 - (Measured in Meter per Second) - The Mach Number is a dimensionless quantity representing the ratio of the speed of an object to the speed of sound in the surrounding medium.
Reference temperature - (Measured in Kelvin) - The Reference temperature is a specific temperature used as a baseline for analyzing thermodynamic properties in hypersonic flow scenarios, particularly for viscous flow over flat plates.
Static Temperature - (Measured in Kelvin) - The Static Temperature is the temperature of a fluid measured at rest, providing essential information about the thermal state in hypersonic flow scenarios.
Wall Temperature - (Measured in Kelvin) - The Wall Temperature is the temperature at the surface of a wall in a hypersonic flow, influencing heat transfer and fluid dynamics in viscous flow cases.

STEP 1: Convert Input(s) to Base Unit

Reference temperature: 200.5 Kelvin --> 200.5 Kelvin No Conversion Required
Static Temperature: 350 Kelvin --> 350 Kelvin No Conversion Required
Wall Temperature: 15 Kelvin --> 15 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = sqrt((T_ref/T_e-1-0.58*(Tw/T_e-1))/0.032) --> sqrt((200.5/350-1-0.58*(15/350-1))/0.032)

Evaluating ... ...

M = 2

STEP 3: Convert Result to Output's Unit

2 Meter per Second --> No Conversion Required

FINAL ANSWER

2 Meter per Second <-- Mach Number

(Calculation completed in 00.004 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has created this Calculator and 300+ more calculators!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Mach Number at Reference Temperature Formula

LaTeX Go

Mach Number = sqrt((Reference temperature/Static Temperature-1-0.58*(Wall Temperature/Static Temperature-1))/0.032)
M = sqrt((T_ref/T_e-1-0.58*(Tw/T_e-1))/0.032)

What is Reference Temperature?

The heat transfer coefficient or film coefficient, or film effectiveness, in thermodynamics and in mechanics is the proportionality constant between the heat flux and the thermodynamic driving force for the flow of heat.

How to Calculate Mach Number at Reference Temperature?

Mach Number at Reference Temperature calculator uses Mach Number = sqrt((Reference temperature/Static Temperature-1-0.58*(Wall Temperature/Static Temperature-1))/0.032) to calculate the Mach Number, Mach Number at Reference Temperature formula is defined as a dimensionless quantity representing the ratio of the speed of an object to the speed of sound in a fluid, used to describe the compressibility of a fluid in a specific flow regime, particularly in the context of aerodynamics and aerospace engineering. Mach Number is denoted by M symbol.

How to calculate Mach Number at Reference Temperature using this online calculator? To use this online calculator for Mach Number at Reference Temperature, enter Reference temperature (T_ref), Static Temperature (T_e) & Wall Temperature (Tw) and hit the calculate button. Here is how the Mach Number at Reference Temperature calculation can be explained with given input values -> 2 = sqrt((200.5/350-1-0.58*(15/350-1))/0.032).

FAQ

What is Mach Number at Reference Temperature?

Mach Number at Reference Temperature formula is defined as a dimensionless quantity representing the ratio of the speed of an object to the speed of sound in a fluid, used to describe the compressibility of a fluid in a specific flow regime, particularly in the context of aerodynamics and aerospace engineering and is represented as M = sqrt((T_ref/T_e-1-0.58*(Tw/T_e-1))/0.032) or Mach Number = sqrt((Reference temperature/Static Temperature-1-0.58*(Wall Temperature/Static Temperature-1))/0.032). The Reference temperature is a specific temperature used as a baseline for analyzing thermodynamic properties in hypersonic flow scenarios, particularly for viscous flow over flat plates, The Static Temperature is the temperature of a fluid measured at rest, providing essential information about the thermal state in hypersonic flow scenarios & The Wall Temperature is the temperature at the surface of a wall in a hypersonic flow, influencing heat transfer and fluid dynamics in viscous flow cases.

How to calculate Mach Number at Reference Temperature?

Mach Number at Reference Temperature formula is defined as a dimensionless quantity representing the ratio of the speed of an object to the speed of sound in a fluid, used to describe the compressibility of a fluid in a specific flow regime, particularly in the context of aerodynamics and aerospace engineering is calculated using Mach Number = sqrt((Reference temperature/Static Temperature-1-0.58*(Wall Temperature/Static Temperature-1))/0.032). To calculate Mach Number at Reference Temperature, you need Reference temperature (T_ref), Static Temperature (T_e) & Wall Temperature (Tw). With our tool, you need to enter the respective value for Reference temperature, Static Temperature & Wall Temperature 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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