Reference Temperature Equation Calculator

✖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 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 [M]			+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 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 Equation [T_ref]

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Reference Temperature Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reference temperature = Static Temperature*(1+0.032*Mach Number^2+0.58*(Wall Temperature/Static Temperature-1))
T_ref = T_e*(1+0.032*M^2+0.58*(Tw/T_e-1))
This formula uses 4 Variables

Variables Used

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.
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.
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

Static Temperature: 350 Kelvin --> 350 Kelvin No Conversion Required
Mach Number: 2 Meter per Second --> 2 Meter per Second No Conversion Required
Wall Temperature: 15 Kelvin --> 15 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_ref = T_e*(1+0.032*M^2+0.58*(Tw/T_e-1)) --> 350*(1+0.032*2^2+0.58*(15/350-1))

Evaluating ... ...

T_ref = 200.5

STEP 3: Convert Result to Output's Unit

200.5 Kelvin --> No Conversion Required

FINAL ANSWER

200.5 Kelvin <-- Reference temperature

(Calculation completed in 00.021 seconds)

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Created by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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< Reference Temperature Method Calculators

Static Velocity of Plate using Chord Length for Flat Plate Case

LaTeX Go Static Velocity = (Reynolds Number using Chord Length*Static Viscosity)/(Static Density*Chord Length)

Static Density of Plate using Chord Length for Flat Plate Case

LaTeX Go Static Density = (Reynolds Number using Chord Length*Static Viscosity)/(Static Velocity*Chord Length)

Reynolds Number for Chord Length

LaTeX Go Reynolds Number using Chord Length = Static Density*Static Velocity*Chord Length/Static Viscosity

Local Reynolds Number

LaTeX Go Local Reynolds Number = ((1.328)/Local Skin-Friction Coefficient)^2

Reference Temperature Equation Formula

LaTeX Go

Reference temperature = Static Temperature*(1+0.032*Mach Number^2+0.58*(Wall Temperature/Static Temperature-1))
T_ref = T_e*(1+0.032*M^2+0.58*(Tw/T_e-1))

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 Reference Temperature Equation?

Reference Temperature Equation calculator uses Reference temperature = Static Temperature*(1+0.032*Mach Number^2+0.58*(Wall Temperature/Static Temperature-1)) to calculate 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 calculate Reference Temperature Equation using this online calculator? To use this online calculator for Reference Temperature Equation, enter Static Temperature (T_e), Mach Number (M) & Wall Temperature (Tw) and hit the calculate button. Here is how the Reference Temperature Equation calculation can be explained with given input values -> 7901.676 = 350*(1+0.032*2^2+0.58*(15/350-1)).

FAQ

What is Reference Temperature Equation?

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 and is represented as T_ref = T_e*(1+0.032*M^2+0.58*(Tw/T_e-1)) or Reference temperature = Static Temperature*(1+0.032*Mach Number^2+0.58*(Wall Temperature/Static Temperature-1)). The Static Temperature is the temperature of a fluid measured at rest, providing essential information about the thermal state in hypersonic flow scenarios, 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 & 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 Reference Temperature Equation?

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 is calculated using Reference temperature = Static Temperature*(1+0.032*Mach Number^2+0.58*(Wall Temperature/Static Temperature-1)). To calculate Reference Temperature Equation, you need Static Temperature (T_e), Mach Number (M) & Wall Temperature (Tw). With our tool, you need to enter the respective value for Static Temperature, Mach Number & 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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