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))
ue = qw/(ρe*St*(haw-hw))
This formula uses 6 Variables
Variables Used
Static Velocity - (Measured in Meter per Second) - The Static Velocity is the speed of a fluid at a specific point in a flow field, unaffected by the motion of the surrounding fluid.
Local Heat Transfer Rate - (Measured in Watt per Square Meter) - The Local Heat Transfer Rate is the measure of heat energy transfer per unit area at a specific location on a surface in a fluid flow.
Static Density - (Measured in Kilogram per Cubic Meter) - The Static Density is the mass per unit volume of a fluid at rest, crucial for understanding fluid behavior in various mechanical and engineering applications.
Stanton Number - The Stanton Number is a dimensionless quantity that measures the heat transfer efficiency in fluid flow over a surface, particularly in hypersonic flow scenarios.
Adiabatic Wall Enthalpy - (Measured in Joule per Kilogram) - The Adiabatic Wall Enthalpy is the heat content of a fluid in contact with an adiabatic wall, reflecting energy transfer during viscous flow conditions.
Wall Enthalpy - (Measured in Joule per Kilogram) - The Wall Enthalpy is the measure of thermal energy per unit mass at the wall surface in viscous flow, influencing heat transfer and fluid behavior.
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: 0.305932 --> No Conversion Required
Adiabatic Wall Enthalpy: 144.544 Joule per Kilogram --> 144.544 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
ue = qw/(ρe*St*(haw-hw)) --> 12000/(98.3*0.305932*(144.544-99.2))
Evaluating ... ...
ue = 8.80000651703232
STEP 3: Convert Result to Output's Unit
8.80000651703232 Meter per Second --> No Conversion Required
FINAL ANSWER
8.80000651703232 8.800007 Meter per Second <-- Static Velocity
(Calculation completed in 00.004 seconds)

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Amrita School of Engineering (ASE), Vallikavu
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Viscous Flow Calculators

Aerodynamic Heating Equation for Stanton number
​ LaTeX ​ Go Stanton Number = Local Heat Transfer Rate/(Static Density*Static Velocity*(Adiabatic Wall Enthalpy-Wall Enthalpy))
Adiabatic Wall Enthalpy for Flat Plate
​ LaTeX ​ Go Adiabatic Wall Enthalpy = Static Enthalpy+Recovery Factor*(Total Specific Enthalpy-Static Enthalpy)
Adiabatic Wall Enthalpy using Recovery Factor
​ LaTeX ​ Go Adiabatic Wall Enthalpy = Static Enthalpy+Recovery Factor*(Static Velocity^2)/2
Coefficient of Friction using Stanton Number for Flat Plate Case
​ LaTeX ​ Go Coefficient of Friction = (2*Stanton Number)/(Prandtl Number^(-2/3))

Static Velocity Equation using Aerodynamic Heating Equation Formula

​LaTeX ​Go
Static Velocity = Local Heat Transfer Rate/(Static Density*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy))
ue = qw/(ρe*St*(haw-hw))

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, Static Velocity Equation using Aerodynamic Heating Equation formula is defined as a measure of the velocity of a fluid in a flat plate for viscous flow case, taking into account the heat transfer and frictional forces, which is crucial in understanding the aerodynamic characteristics of an object. Static Velocity is denoted by ue 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 (qw), Static Density e), Stanton Number (St), Adiabatic Wall Enthalpy (haw) & Wall Enthalpy (hw) and hit the calculate button. Here is how the Static Velocity Equation using Aerodynamic Heating Equation calculation can be explained with given input values -> 72.34967 = 12000/(98.3*0.305932*(144.544-99.2)).

FAQ

What is Static Velocity Equation using Aerodynamic Heating Equation?
Static Velocity Equation using Aerodynamic Heating Equation formula is defined as a measure of the velocity of a fluid in a flat plate for viscous flow case, taking into account the heat transfer and frictional forces, which is crucial in understanding the aerodynamic characteristics of an object and is represented as ue = qw/(ρe*St*(haw-hw)) or Static Velocity = Local Heat Transfer Rate/(Static Density*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy)). The Local Heat Transfer Rate is the measure of heat energy transfer per unit area at a specific location on a surface in a fluid flow, The Static Density is the mass per unit volume of a fluid at rest, crucial for understanding fluid behavior in various mechanical and engineering applications, The Stanton Number is a dimensionless quantity that measures the heat transfer efficiency in fluid flow over a surface, particularly in hypersonic flow scenarios, The Adiabatic Wall Enthalpy is the heat content of a fluid in contact with an adiabatic wall, reflecting energy transfer during viscous flow conditions & The Wall Enthalpy is the measure of thermal energy per unit mass at the wall surface in viscous flow, influencing heat transfer and fluid behavior.
How to calculate Static Velocity Equation using Aerodynamic Heating Equation?
Static Velocity Equation using Aerodynamic Heating Equation formula is defined as a measure of the velocity of a fluid in a flat plate for viscous flow case, taking into account the heat transfer and frictional forces, which is crucial in understanding the aerodynamic characteristics of an object 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 (qw), Static Density e), Stanton Number (St), Adiabatic Wall Enthalpy (haw) & Wall Enthalpy (hw). 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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