Static Velocity Equation using Aerodynamic Heating Equation Calculator

✖Local Heat Transfer Rate, is that energy per second per unit area.ⓘ Local Heat Transfer Rate [q_w]			+10% -10%
✖Static density, is the density of the fluid when its not moving, or the density of fluid if we are moving relative to the fluid.ⓘ Static Density [ρ_e]			+10% -10%
✖The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.ⓘ Stanton Number [St]			+10% -10%
✖Adiabatic wall enthalpy, is the Enthalpy of a fluid flowing around a solid body; it corresponds to the adiabatic wall temperature.ⓘ Adiabatic Wall Enthalpy [h_aw]			+10% -10%
✖Wall Enthalpy is the Enthalpy of a fluid flowing around a solid body; it corresponds to the adiabatic wall temperature.ⓘ Wall Enthalpy [h_w]			+10% -10%

✖Static velocity is the velocity of fluid at a point in the fluid, or velocity in the continuous flow.ⓘ Static Velocity Equation using Aerodynamic Heating Equation [u_e]

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Formula

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Static Velocity Equation using Aerodynamic Heating Equation

Formula

`"u"_{"e"} = "q"_{"w"}/("ρ"_{"e"}*"St"*("h"_{"aw"}-"h"_{"w"}))`

Example

`"108.9958m/s"="12000W/m²"/("98.3kg/m³"*"0.4"*("102J/kg"-"99.2J/kg"))`

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Static Velocity Equation using Aerodynamic Heating Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Static Velocity = Local Heat Transfer Rate/(Static Density*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy))
u_e = q_w/(ρ_e*St*(h_aw-h_w))
This formula uses 6 Variables

Variables Used

Static Velocity - (Measured in Meter per Second) - Static velocity is the velocity of fluid at a point in the fluid, or velocity in the continuous flow.
Local Heat Transfer Rate - (Measured in Watt per Square Meter) - Local Heat Transfer Rate, is that energy per second per unit area.
Static Density - (Measured in Kilogram per Cubic Meter) - Static density, is the density of the fluid when its not moving, or the density of fluid if we are moving relative to the fluid.
Stanton Number - The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.
Adiabatic Wall Enthalpy - (Measured in Joule per Kilogram) - Adiabatic wall enthalpy, is the Enthalpy of a fluid flowing around a solid body; it corresponds to the adiabatic wall temperature.
Wall Enthalpy - (Measured in Joule per Kilogram) - Wall Enthalpy is the Enthalpy of a fluid flowing around a solid body; it corresponds to the adiabatic wall temperature.

STEP 1: Convert Input(s) to Base Unit

Local Heat Transfer Rate: 12000 Watt per Square Meter --> 12000 Watt per Square Meter No Conversion Required
Static Density: 98.3 Kilogram per Cubic Meter --> 98.3 Kilogram per Cubic Meter No Conversion Required
Stanton Number: 0.4 --> No Conversion Required
Adiabatic Wall Enthalpy: 102 Joule per Kilogram --> 102 Joule per Kilogram No Conversion Required
Wall Enthalpy: 99.2 Joule per Kilogram --> 99.2 Joule per Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u_e = q_w/(ρ_e*St*(h_aw-h_w)) --> 12000/(98.3*0.4*(102-99.2))

Evaluating ... ...

u_e = 108.995785496294

STEP 3: Convert Result to Output's Unit

108.995785496294 Meter per Second --> No Conversion Required

FINAL ANSWER

108.995785496294 ≈ 108.9958 Meter per Second <-- Static Velocity

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Hypersonic Flow » Flat Plate for Viscous Flow Case » Viscous Flow » Static Velocity Equation using Aerodynamic Heating Equation

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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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< 15 Viscous Flow Calculators

Static Velocity Equation using Aerodynamic Heating Equation

Go Static Velocity = Local Heat Transfer Rate/(Static Density*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy))

Static Density Equation using Aerodynamic Equation

Go Static Density = Local Heat Transfer Rate/(Static Velocity*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy))

Aerodynamic Heating Equation for Stanton number

Go Stanton Number = Local Heat Transfer Rate/(Static Density*Static Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy))

Recovery Factor using Temperature

Go Recovery Factor = (Adiabatic Wall Temperature-Static Temperature)/(Total Temperature-Static Temperature)

Recovery Factor for Flat Plate with Viscous Flow

Go Recovery Factor = (Adiabatic Wall Enthalpy-Static Enthalpy)/(Total Specific Enthalpy-Static Enthalpy)

Adiabatic Wall Enthalpy for Flat Plate

Go Adiabatic Wall Enthalpy = Static Enthalpy+Recovery Factor*(Total Specific Enthalpy-Static Enthalpy)

Drag per Unit Span

Go Drag Force = (0.86*Dynamic Pressure*Distance from Leading Edge)/sqrt(Reynolds Number)

Skin-Friction Drag Coefficient

Go Skin friction coefficient = Skin Friction Drag Force/(Dynamic Pressure*Reference Area)

Skin-Friction Drag for Flat Plate in Viscous Flow

Go Skin Friction Drag Force = Dynamic Pressure*Reference Area*Skin friction coefficient

Adiabatic Wall Enthalpy using Recovery Factor

Go Adiabatic Wall Enthalpy = Static Enthalpy+Recovery Factor*(Static Velocity^2)/2

Coefficient of Friction using Stanton Number for Flat Plate Case

Go Coefficient of Friction = (2*Stanton Number)/(Prandtl Number^(-2/3))

Stanton Number with Coefficient of Friction

Go Stanton Number = 0.5*Coefficient of Friction*Prandtl Number^(-2/3)

Total Enthalpy in Inviscid Flow Outside Boundary Layer

Go Total Specific Enthalpy = Static Enthalpy+(Static Velocity^2)/2

Recovery Factor Calculation using Prandtl Number

Go Recovery Factor = sqrt(Prandtl Number)

Prandtl Number for Flat Plate with Viscous Flow

Go Prandtl Number = Recovery Factor^2

Static Velocity Equation using Aerodynamic Heating Equation Formula

Static Velocity = Local Heat Transfer Rate/(Static Density*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy))
u_e = q_w/(ρ_e*St*(h_aw-h_w))

What is Stanton number?

The Stanton number, St, is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid.

How to Calculate Static Velocity Equation using Aerodynamic Heating Equation?

Static Velocity Equation using Aerodynamic Heating Equation calculator uses Static Velocity = Local Heat Transfer Rate/(Static Density*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy)) to calculate the Static Velocity, The Static velocity equation using aerodynamic heating equation formula is defined as the interrelation between static density, the static velocity of the fluid, Stanton number, and the wall enthalpies. Static Velocity is denoted by u_e symbol.

How to calculate Static Velocity Equation using Aerodynamic Heating Equation using this online calculator? To use this online calculator for Static Velocity Equation using Aerodynamic Heating Equation, enter Local Heat Transfer Rate (q_w), Static Density (ρ_e), Stanton Number (St), Adiabatic Wall Enthalpy (h_aw) & Wall Enthalpy (h_w) and hit the calculate button. Here is how the Static Velocity Equation using Aerodynamic Heating Equation calculation can be explained with given input values -> 3.781762 = 12000/(98.3*0.4*(102-99.2)).

FAQ

What is Static Velocity Equation using Aerodynamic Heating Equation?

The Static velocity equation using aerodynamic heating equation formula is defined as the interrelation between static density, the static velocity of the fluid, Stanton number, and the wall enthalpies and is represented as u_e = q_w/(ρ_e*St*(h_aw-h_w)) or Static Velocity = Local Heat Transfer Rate/(Static Density*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy)). Local Heat Transfer Rate, is that energy per second per unit area, Static density, is the density of the fluid when its not moving, or the density of fluid if we are moving relative to the fluid, The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid, Adiabatic wall enthalpy, is the Enthalpy of a fluid flowing around a solid body; it corresponds to the adiabatic wall temperature & Wall Enthalpy is the Enthalpy of a fluid flowing around a solid body; it corresponds to the adiabatic wall temperature.

How to calculate Static Velocity Equation using Aerodynamic Heating Equation?

The Static velocity equation using aerodynamic heating equation formula is defined as the interrelation between static density, the static velocity of the fluid, Stanton number, and the wall enthalpies is calculated using Static Velocity = Local Heat Transfer Rate/(Static Density*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy)). To calculate Static Velocity Equation using Aerodynamic Heating Equation, you need Local Heat Transfer Rate (q_w), Static Density (ρ_e), Stanton Number (St), Adiabatic Wall Enthalpy (h_aw) & Wall Enthalpy (h_w). With our tool, you need to enter the respective value for Local Heat Transfer Rate, Static Density, Stanton Number, Adiabatic Wall Enthalpy & Wall Enthalpy 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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