Non Dimensionalised Time Calculator

✖Time can be defined as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.ⓘ Time [t_hours]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%
✖Freestream Velocity Normal is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air.ⓘ Freestream Velocity Normal [U_∞]			+10% -10%

✖Non Dimensionalized Time is the ratio of time to the ratio of length and the freestream velocity.ⓘ Non Dimensionalised Time [t^-]

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Formula

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Non Dimensionalised Time

Formula

`"t"^{"-"} = "t"_{"hours"}/("L"/"U"_{"∞"})`

Example

`"1471.714"="1010s"/("70m"/"102m/s")`

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Non Dimensionalised Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

Non Dimensionalized Time = Time/(Length/Freestream Velocity Normal)
t^- = t_hours/(L/U_∞)
This formula uses 4 Variables

Variables Used

Non Dimensionalized Time - Non Dimensionalized Time is the ratio of time to the ratio of length and the freestream velocity.
Time - (Measured in Second) - Time can be defined as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Freestream Velocity Normal - (Measured in Meter per Second) - Freestream Velocity Normal is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air.

STEP 1: Convert Input(s) to Base Unit

Time: 1010 Second --> 1010 Second No Conversion Required
Length: 70 Meter --> 70 Meter No Conversion Required
Freestream Velocity Normal: 102 Meter per Second --> 102 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t^- = t_hours/(L/U_∞) --> 1010/(70/102)

Evaluating ... ...

t^- = 1471.71428571429

STEP 3: Convert Result to Output's Unit

1471.71428571429 --> No Conversion Required

FINAL ANSWER

1471.71428571429 ≈ 1471.714 <-- Non Dimensionalized Time

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Hypersonic Flow and Disturbances » Non Dimensionalised Time

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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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< 17 Hypersonic Flow and Disturbances Calculators

Inverse of Density for Hypersonic Flow using Mach Number

Go Inverse of Density = (2+(Specific Heat Ratio-1)*Mach Number^2*sin(Deflection Angle)^2)/(2+(Specific Heat Ratio+1)*Mach Number^2*sin(Deflection Angle)^2)

Coefficient of Pressure with Slenderness Ratio and Similarity Constant

Go Pressure Coefficient = (2*Slenderness Ratio^2)/(Specific Heat Ratio*Hypersonic Similarity Parameter^2)*(Specific Heat Ratio*Hypersonic Similarity Parameter^2*Non Dimensionalized Pressure-1)

Coefficient of Pressure with Slenderness Ratio

Go Pressure Coefficient = 2/Specific Heat Ratio*Mach Number^2*(Non Dimensionalized Pressure*Specific Heat Ratio*Mach Number^2*Slenderness Ratio^2-1)

Non Dimensional Pressure Equation with Slenderness Ratio

Go Non Dimensionalized Pressure = Pressure/(Specific Heat Ratio*Mach Number^2*Slenderness Ratio^2*Free Stream Pressure)

Density Ratio with Similarity Constant having Slenderness Ratio

Go Density Ratio = ((Specific Heat Ratio+1)/(Specific Heat Ratio-1))*(1/(1+2/((Specific Heat Ratio-1)*Hypersonic Similarity Parameter^2)))

Rasmussen Closed Form Expression for Shock Wave Angle

Go Wave Angle Similarity Parameter = Hypersonic Similarity Parameter*sqrt((Specific Heat Ratio+1)/2+1/Hypersonic Similarity Parameter^2)

Non Dimensional Change in Hypersonic Disturbance Velocity in y Direction

Go Non Dimensional Disturbance Y Velocity = Change in Velocity for Hypersonic Flow y direction/(Freestream Velocity Normal*Slenderness Ratio)

Non Dimensional Change in Hypersonic Disturbance Velocity in x Direction

Go Non Dimensional Disturbance X Velocity = Change in Velocity for Hypersonic Flow/(Freestream Velocity for Blast Wave*Slenderness Ratio^2)

Doty and Rasmussen- Normal Force Coefficient

Go Coefficient of Force = 2*Normal Force/(Density of Fluid*Freestream Velocity Normal^2*Area)

Constant G used for Finding Location of Perturbed Shock

Go Perturbed Shock Location Constant = Perturbed Shock Location Constant at Normal Force/Perturbed Shock Location Constant at Drag Force

Non Dimensional Velocity Disturbance in y Direction in Hypersonic Flow

Go Non Dimensional Disturbance Y Velocity = (2/(Specific Heat Ratio+1))*(1-1/Hypersonic Similarity Parameter^2)

Non Dimensionalised Time

Go Non Dimensionalized Time = Time/(Length/Freestream Velocity Normal)

Similarity Constant Equation using Wave Angle

Go Wave Angle Similarity Parameter = Mach Number*Wave Angle*180/pi

Change in Velocity for Hypersonic Flow in X Direction

Go Change in Velocity for Hypersonic Flow = Fluid Velocity-Freestream Velocity Normal

Distance from Tip of Leading Edge to Base

Go Distance from X-Axis = Freestream Velocity for Blast Wave*Total Time Taken

Similarity Constant Equation with Slenderness Ratio

Go Hypersonic Similarity Parameter = Mach Number*Slenderness Ratio

Inverse of Density for Hypersonic Flow

Go Inverse of Density = 1/(Density*Wave Angle)

Non Dimensionalised Time Formula

Non Dimensionalized Time = Time/(Length/Freestream Velocity Normal)
t^- = t_hours/(L/U_∞)

What is hypersonic flow?

Hypersonic flows are flow fields where the fluid velocity is much larger than the velocity of propagation of small disturbances, the velocity of sound.

How to Calculate Non Dimensionalised Time?

Non Dimensionalised Time calculator uses Non Dimensionalized Time = Time/(Length/Freestream Velocity Normal) to calculate the Non Dimensionalized Time, The Non dimensionalised time formula is defined as the ratio of time to the ratio of length and the freestream velocity, used for simplifying the equation in hypersonic flow. Non Dimensionalized Time is denoted by t^- symbol.

How to calculate Non Dimensionalised Time using this online calculator? To use this online calculator for Non Dimensionalised Time, enter Time (t_hours), Length (L) & Freestream Velocity Normal (U_∞) and hit the calculate button. Here is how the Non Dimensionalised Time calculation can be explained with given input values -> 44791.3 = 1010/(70/102).

FAQ

What is Non Dimensionalised Time?

The Non dimensionalised time formula is defined as the ratio of time to the ratio of length and the freestream velocity, used for simplifying the equation in hypersonic flow and is represented as t^- = t_hours/(L/U_∞) or Non Dimensionalized Time = Time/(Length/Freestream Velocity Normal). Time can be defined as the ongoing and continuous sequence of events that occur in succession, from the past through the present to the future, Length is the measurement or extent of something from end to end & Freestream Velocity Normal is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air.

How to calculate Non Dimensionalised Time?

The Non dimensionalised time formula is defined as the ratio of time to the ratio of length and the freestream velocity, used for simplifying the equation in hypersonic flow is calculated using Non Dimensionalized Time = Time/(Length/Freestream Velocity Normal). To calculate Non Dimensionalised Time, you need Time (t_hours), Length (L) & Freestream Velocity Normal (U_∞). With our tool, you need to enter the respective value for Time, Length & Freestream Velocity Normal 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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