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) - 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.
Local Heat Transfer Rate - (Measured in Watt per Square Meter) - Local Heat Transfer Rate, is that energy per second per unit area.
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.
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 Velocity: 8.8 Meter per Second --> 8.8 Meter per Second 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
ρe = qw/(ue*St*(haw-hw)) --> 12000/(8.8*0.4*(102-99.2))
Evaluating ... ...
ρe = 1217.53246753247
STEP 3: Convert Result to Output's Unit
1217.53246753247 Kilogram per Cubic Meter --> No Conversion Required
FINAL ANSWER
1217.53246753247 1217.532 Kilogram per Cubic Meter <-- Static Density
(Calculation completed in 00.020 seconds)

Credits

Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
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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 Density Equation using Aerodynamic Equation Formula

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, The Static density equation using aerodynamic equation formula is defined as the interrelation between static density, the static velocity of the fluid, Stanton number, and the wall enthalpies. 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 -> 42.244 = 12000/(8.8*0.4*(102-99.2)).

FAQ

What is Static Density Equation using Aerodynamic Equation?
The Static density equation using aerodynamic 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 ρe = qw/(ue*St*(haw-hw)) or Static Density = Local Heat Transfer Rate/(Static Velocity*Stanton Number*(Adiabatic Wall Enthalpy-Wall Enthalpy)). Local Heat Transfer Rate, is that energy per second per unit area, Static velocity is the velocity of fluid at a point in the fluid, or velocity in the continuous flow, 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 Density Equation using Aerodynamic Equation?
The Static density equation using aerodynamic 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 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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