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Reference Temperature Equation Formula

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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. Check FAQs

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

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

Reference Temperature Equation Example

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

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

Here is how the Reference Temperature Equation equation looks like.

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

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

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

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Reference Temperature Equation Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

LAST Step Evaluate

∴

T ref = 200.5K

Reference Temperature Equation Formula Elements

Variables

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

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

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

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

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 Reference Temperature Equation?

Reference Temperature Equation evaluator uses Reference temperature = Static Temperature*(1+0.032*Mach Number^2+0.58*(Wall Temperature/Static Temperature-1)) to evaluate the Reference temperature, Reference Temperature Equation formula is defined as a measure of the temperature at a reference point in a flat plate for viscous flow case, taking into account the static temperature, Mach number, and the ratio of wall temperature to static temperature, providing a crucial parameter in aerodynamics and heat transfer analysis. Reference temperature is denoted by T_ref symbol.

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

FAQs on Reference Temperature Equation

What is the formula to find Reference Temperature Equation?

The formula of Reference Temperature Equation is expressed as Reference temperature = Static Temperature*(1+0.032*Mach Number^2+0.58*(Wall Temperature/Static Temperature-1)). Here is an example- 7901.676 = 350*(1+0.032*2^2+0.58*(15/350-1)).

How to calculate Reference Temperature Equation?

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

Can the Reference Temperature Equation be negative?

No, the Reference Temperature Equation, measured in Temperature cannot be negative.

Which unit is used to measure Reference Temperature Equation?

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

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Reference Temperature Equation Formula

Reference Temperature Equation Example

Reference Temperature Equation Solution

Reference Temperature Equation Formula Elements

Other formulas in Reference Temperature Method category

How to Evaluate Reference Temperature Equation?

FAQs on Reference Temperature Equation

Variable Name