Static Density Equation using Aerodynamic Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Static Density = Local Heat Transfer Rate/(Static Velocity*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy))
ρe = qw/(ue*St*(haw-hw))
This formula uses 6 Variables
Variables Used
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.
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 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.
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 Velocity: 8.8 Meter per Second --> 8.8 Meter per Second 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
ρe = qw/(ue*St*(haw-hw)) --> 12000/(8.8*0.305932*(144.544-99.2))
Evaluating ... ...
ρe = 98.3000727982133
STEP 3: Convert Result to Output's Unit
98.3000727982133 Kilogram per Cubic Meter --> No Conversion Required
FINAL ANSWER
98.3000727982133 98.30007 Kilogram per Cubic Meter <-- Static Density
(Calculation completed in 00.004 seconds)

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​ 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 Density Equation using Aerodynamic Equation Formula

​LaTeX ​Go
Static Density = Local Heat Transfer Rate/(Static Velocity*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy))
ρe = qw/(ue*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 Density Equation using Aerodynamic Equation?

Static Density Equation using Aerodynamic Equation calculator uses Static Density = Local Heat Transfer Rate/(Static Velocity*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy)) to calculate the Static Density, Static Density Equation using Aerodynamic Equation formula is defined as a measure of the effective air density in a flat plate for viscous flow case, which is a critical parameter in aerodynamics and fluid mechanics, used to analyze the behavior of air and its interaction with solid objects. Static Density is denoted by ρe symbol.

How to calculate Static Density Equation using Aerodynamic Equation using this online calculator? To use this online calculator for Static Density Equation using Aerodynamic Equation, enter Local Heat Transfer Rate (qw), Static Velocity (ue), Stanton Number (St), Adiabatic Wall Enthalpy (haw) & Wall Enthalpy (hw) and hit the calculate button. Here is how the Static Density Equation using Aerodynamic Equation calculation can be explained with given input values -> 808.1787 = 12000/(8.8*0.305932*(144.544-99.2)).

FAQ

What is Static Density Equation using Aerodynamic Equation?
Static Density Equation using Aerodynamic Equation formula is defined as a measure of the effective air density in a flat plate for viscous flow case, which is a critical parameter in aerodynamics and fluid mechanics, used to analyze the behavior of air and its interaction with solid objects and is represented as ρe = qw/(ue*St*(haw-hw)) or Static Density = Local Heat Transfer Rate/(Static Velocity*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 Velocity is the speed of a fluid at a specific point in a flow field, unaffected by the motion of the surrounding fluid, 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 Density Equation using Aerodynamic Equation?
Static Density Equation using Aerodynamic Equation formula is defined as a measure of the effective air density in a flat plate for viscous flow case, which is a critical parameter in aerodynamics and fluid mechanics, used to analyze the behavior of air and its interaction with solid objects is calculated using Static Density = Local Heat Transfer Rate/(Static Velocity*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy)). To calculate Static Density Equation using Aerodynamic Equation, you need Local Heat Transfer Rate (qw), Static Velocity (ue), 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 Velocity, 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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