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Wall Temperature using Reference Temperature Formula

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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. Check FAQs

Tw = T e \cdot (\frac{\frac{T ref}{T e} - (1 + 0.032 \cdot M^{2})}{0.58} + 1)

Tw - Wall Temperature?T_e - Static Temperature?T_ref - Reference temperature?M - Mach Number?

Wall Temperature using Reference Temperature Example

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Here is how the Wall Temperature using Reference Temperature equation looks like with Values.

Here is how the Wall Temperature using Reference Temperature equation looks like with Units.

Here is how the Wall Temperature using Reference Temperature equation looks like.

15 = 350 \cdot (\frac{\frac{200.5}{350} - (1 + 0.032 \cdot 2^{2})}{0.58} + 1)

15K = 350K \cdot (\frac{\frac{200.5K}{350K} - (1 + 0.032 \cdot {2m/s}^{2})}{0.58} + 1)

15 = 350 \cdot (\frac{\frac{200.5}{350} - (1 + 0.032 \cdot 2^{2})}{0.58} + 1)

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Wall Temperature using Reference Temperature Solution

Follow our step by step solution on how to calculate Wall Temperature using Reference Temperature?

FIRST Step Consider the formula

Tw = T e \cdot (\frac{\frac{T ref}{T e} - (1 + 0.032 \cdot M^{2})}{0.58} + 1)

Next Step Substitute values of Variables

∴

Tw = 350K \cdot (\frac{\frac{200.5K}{350K} - (1 + 0.032 \cdot {2m/s}^{2})}{0.58} + 1)

Next Step Prepare to Evaluate

∴

Tw = 350 \cdot (\frac{\frac{200.5}{350} - (1 + 0.032 \cdot 2^{2})}{0.58} + 1)

Next Step Evaluate

∴

Tw = 14.9999999999999K

LAST Step Rounding Answer

∴

Tw = 15K

Wall Temperature using Reference Temperature Formula Elements

Variables

Wall Temperature

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.

Symbol: Tw

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Wall Temperature

Static Temperature

The Static Temperature is the temperature of a fluid measured at rest, providing essential information about the thermal state in hypersonic flow scenarios.

Symbol: T_e

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Static Temperature

Reference temperature

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.

Symbol: T_ref

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Reference temperature

Mach Number

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.

Symbol: M

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Mach Number

Other formulas in Reference Temperature Method category

Go Local Reynolds Number

Re l = {(\frac{1.328}{C f})}^{2}

Go Reynolds Number for Chord Length

Re c = ρ e \cdot u e \cdot \frac{L Chord}{μe}

Go Static Density of Plate using Chord Length for Flat Plate Case

ρ e = \frac{Re c \cdot μe}{u e \cdot L Chord}

Go Static Velocity of Plate using Chord Length for Flat Plate Case

u e = \frac{Re c \cdot μe}{ρ e \cdot L Chord}

How to Evaluate Wall Temperature using Reference Temperature?

Wall Temperature using Reference Temperature evaluator uses Wall Temperature = Static Temperature*((Reference temperature/Static Temperature-(1+0.032*Mach Number^2))/0.58+1) to evaluate the Wall Temperature, Wall Temperature using Reference Temperature formula is defined as a method to estimate the temperature at the wall of a flat plate in a viscous flow case, which is essential in understanding the heat transfer and fluid dynamics in various engineering applications. Wall Temperature is denoted by Tw symbol.

How to evaluate Wall Temperature using Reference Temperature using this online evaluator? To use this online evaluator for Wall Temperature using Reference Temperature, enter Static Temperature (T_e), Reference temperature (T_ref) & Mach Number (M) and hit the calculate button.

FAQs on Wall Temperature using Reference Temperature

What is the formula to find Wall Temperature using Reference Temperature?

The formula of Wall Temperature using Reference Temperature is expressed as Wall Temperature = Static Temperature*((Reference temperature/Static Temperature-(1+0.032*Mach Number^2))/0.58+1). Here is an example- 15 = 350*((200.5/350-(1+0.032*2^2))/0.58+1).

How to calculate Wall Temperature using Reference Temperature?

With Static Temperature (T_e), Reference temperature (T_ref) & Mach Number (M) we can find Wall Temperature using Reference Temperature using the formula - Wall Temperature = Static Temperature*((Reference temperature/Static Temperature-(1+0.032*Mach Number^2))/0.58+1).

Can the Wall Temperature using Reference Temperature be negative?

Yes, the Wall Temperature using Reference Temperature, measured in Temperature can be negative.

Which unit is used to measure Wall Temperature using Reference Temperature?

Wall Temperature using Reference Temperature is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Wall Temperature using Reference Temperature can be measured.

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Wall Temperature using Reference Temperature Formula

Wall Temperature using Reference Temperature Example

Wall Temperature using Reference Temperature Solution

Wall Temperature using Reference Temperature Formula Elements

Other formulas in Reference Temperature Method category

How to Evaluate Wall Temperature using Reference Temperature?

FAQs on Wall Temperature using Reference Temperature

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