Doty and Rasmussen- Normal Force Coefficient Calculator

✖Normal Force is the force which is normal to the shear force.ⓘ Normal Force [Fn]			+10% -10%
✖Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid [ρ_fluid]			+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%
✖The Area is the amount of two-dimensional space taken up by an object.ⓘ Area [A]			+10% -10%

✖Coefficient of Force is the force acting on the reference area with dynamic pressure in the case of hypersonic flow.ⓘ Doty and Rasmussen- Normal Force Coefficient [μ]

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Formula

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Doty and Rasmussen- Normal Force Coefficient

Formula

`"μ" = 2*"Fn"/("ρ"_{"fluid"}*"U"_{"∞"}^2*"A")`

Example

`"0.417077"=2*"57.3N"/("13.9kg/m³"*("102m/s")^2*"0.0019m²")`

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Doty and Rasmussen- Normal Force Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Coefficient of Force = 2*Normal Force/(Density of Fluid*Freestream Velocity Normal^2*Area)
μ = 2*Fn/(ρ_fluid*U_∞^2*A)
This formula uses 5 Variables

Variables Used

Coefficient of Force - Coefficient of Force is the force acting on the reference area with dynamic pressure in the case of hypersonic flow.
Normal Force - (Measured in Newton) - Normal Force is the force which is normal to the shear force.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.
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.
Area - (Measured in Square Meter) - The Area is the amount of two-dimensional space taken up by an object.

STEP 1: Convert Input(s) to Base Unit

Normal Force: 57.3 Newton --> 57.3 Newton No Conversion Required
Density of Fluid: 13.9 Kilogram per Cubic Meter --> 13.9 Kilogram per Cubic Meter No Conversion Required
Freestream Velocity Normal: 102 Meter per Second --> 102 Meter per Second No Conversion Required
Area: 0.0019 Square Meter --> 0.0019 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = 2*Fn/(ρ_fluid*U_∞^2*A) --> 2*57.3/(13.9*102^2*0.0019)

Evaluating ... ...

μ = 0.417076646459194

STEP 3: Convert Result to Output's Unit

0.417076646459194 --> No Conversion Required

FINAL ANSWER

0.417076646459194 ≈ 0.417077 <-- Coefficient of Force

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Hypersonic Flow and Disturbances » Doty and Rasmussen- Normal Force Coefficient

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Amrita School of Engineering (ASE), Vallikavu

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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)

Doty and Rasmussen- Normal Force Coefficient Formula

Coefficient of Force = 2*Normal Force/(Density of Fluid*Freestream Velocity Normal^2*Area)
μ = 2*Fn/(ρ_fluid*U_∞^2*A)

What is a normal force?

The normal force is the support force exerted upon an object that is in contact with another stable object. For example, if a book is resting upon a surface, then the surface is exerting an upward force upon the book in order to support the weight of the book.

How to Calculate Doty and Rasmussen- Normal Force Coefficient?

Doty and Rasmussen- Normal Force Coefficient calculator uses Coefficient of Force = 2*Normal Force/(Density of Fluid*Freestream Velocity Normal^2*Area) to calculate the Coefficient of Force, Doty and Rasmussen- Normal Force Coefficient is defined as the ratio of double the normal force acting on the body to the product of density, the square of the velocity of freestream, and reference area. Coefficient of Force is denoted by μ symbol.

How to calculate Doty and Rasmussen- Normal Force Coefficient using this online calculator? To use this online calculator for Doty and Rasmussen- Normal Force Coefficient, enter Normal Force (Fn), Density of Fluid (ρ_fluid), Freestream Velocity Normal (U_∞) & Area (A) and hit the calculate button. Here is how the Doty and Rasmussen- Normal Force Coefficient calculation can be explained with given input values -> 1.5E-5 = 2*57.3/(13.9*102^2*0.0019).

FAQ

What is Doty and Rasmussen- Normal Force Coefficient?

Doty and Rasmussen- Normal Force Coefficient is defined as the ratio of double the normal force acting on the body to the product of density, the square of the velocity of freestream, and reference area and is represented as μ = 2*Fn/(ρ_fluid*U_∞^2*A) or Coefficient of Force = 2*Normal Force/(Density of Fluid*Freestream Velocity Normal^2*Area). Normal Force is the force which is normal to the shear force, Density of Fluid is defined as the mass of fluid per unit volume of the said fluid, 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 & The Area is the amount of two-dimensional space taken up by an object.

How to calculate Doty and Rasmussen- Normal Force Coefficient?

Doty and Rasmussen- Normal Force Coefficient is defined as the ratio of double the normal force acting on the body to the product of density, the square of the velocity of freestream, and reference area is calculated using Coefficient of Force = 2*Normal Force/(Density of Fluid*Freestream Velocity Normal^2*Area). To calculate Doty and Rasmussen- Normal Force Coefficient, you need Normal Force (Fn), Density of Fluid (ρ_fluid), Freestream Velocity Normal (U_∞) & Area (A). With our tool, you need to enter the respective value for Normal Force, Density of Fluid, Freestream Velocity Normal & Area 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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