Static Density of Plate using Chord Length for Flat Plate Case Solution

STEP 0: Pre-Calculation Summary
Formula Used
Static density = (Reynolds number using chord length*Static Viscosity)/(Static Velocity*Chord Length)
ρe = (Rec*μe)/(ue*LChord)
This formula uses 5 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.
Reynolds number using chord length - Reynolds number using chord length, where the length is usually the chord length of an airfoil or the chord length of a wing. The chord length of a wing may vary from root to tip.
Static Viscosity - (Measured in Pascal Second) - Static viscosity, is the viscosity of continuous flow, viscosity measures the ratio of the viscous force to the inertial force on the fluid.
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.
Chord Length - (Measured in Meter) - Chord Length is the length of a line segment connecting any two points on the circumference of a circle.
STEP 1: Convert Input(s) to Base Unit
Reynolds number using chord length: 2000 --> No Conversion Required
Static Viscosity: 11.2 Poise --> 1.12 Pascal Second (Check conversion here)
Static Velocity: 8.8 Meter per Second --> 8.8 Meter per Second No Conversion Required
Chord Length: 2.8 Meter --> 2.8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ρe = (Rec*μe)/(ue*LChord) --> (2000*1.12)/(8.8*2.8)
Evaluating ... ...
ρe = 90.9090909090909
STEP 3: Convert Result to Output's Unit
90.9090909090909 Kilogram per Cubic Meter --> No Conversion Required
FINAL ANSWER
90.9090909090909 90.90909 Kilogram per Cubic Meter <-- Static density
(Calculation completed in 00.004 seconds)

Credits

Created by Sanjay Krishna
Amrita School of Engineering (ASE), Vallikavu
Sanjay Krishna has created this Calculator and 300+ more calculators!
Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
Sai Venkata Phanindra Chary Arendra has verified this Calculator and 300+ more calculators!

15 Reference Temperature Method Calculators

Mach Number at Reference Temperature
Go Mach Number = sqrt((Reference temperature/Static Temperature-(1+0.58*(Wall Temperature/Static Temperature-1)))/0.032)
Wall Temperature using Reference Temperature
Go Wall Temperature = Static Temperature/0.588*(Reference temperature/Static Temperature-(1+0.032*Mach Number^2))+1
Reference Temperature Equation
Go Reference temperature = Static Temperature*(1+0.032*Mach Number^2+0.58*(Wall Temperature/Static Temperature-1))
Static Velocity of Plate using Chord Length for Flat Plate Case
Go Static Velocity = (Reynolds number using chord length*Static Viscosity)/(Static density*Chord Length)
Static Density of Plate using Chord Length for Flat Plate Case
Go Static density = (Reynolds number using chord length*Static Viscosity)/(Static Velocity*Chord Length)
Chord Length for Flat Plate Case
Go Chord Length = (Reynolds number using chord length*Static Viscosity)/(Static Velocity*Static density)
Static Viscosity of Plate using Chord Length for Flat Plate Case
Go Static Viscosity = Static density*Static Velocity*Chord Length/Reynolds number using chord length
Reynolds Number for Chord Length
Go Reynolds number using chord length = Static density*Static Velocity*Chord Length/Static Viscosity
Stanton Number Obtained from Classical Theory
Go Stanton Number = 0.332/sqrt(Local Reynolds Number)*Prandtl Number^(-2/3)
Overall Skin-Friction Drag Coefficient
Go Overall Skin-friction Drag Coefficient = 1.328/sqrt(Reynolds number using chord length)
Overall Skin-Friction Drag Coefficient for Incompressible Flow
Go Overall Skin-friction Drag Coefficient = 0.02667/(Reynolds number using chord length)^0.139
Reynolds Number for Chord Length using Overall Skin-Friction Drag Coefficient
Go Reynolds number using chord length = (1.328/Overall Skin-friction Drag Coefficient)^2
Local Turbulent Skin-Friction Coefficient for Incompressible Flow
Go Local Skin-Friction Coefficient = 0.02296/(Local Reynolds Number^0.139)
Local Reynolds Number
Go Local Reynolds Number = (0.664^2)/Local Skin-Friction Coefficient^2
Turbulent Flat-Plate Skin-Friction Coefficient
Go Skin friction coefficient = 0.0592/(Local Reynolds Number)^0.2

Static Density of Plate using Chord Length for Flat Plate Case Formula

Static density = (Reynolds number using chord length*Static Viscosity)/(Static Velocity*Chord Length)
ρe = (Rec*μe)/(ue*LChord)

What is a Reynolds number?

The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities

How to Calculate Static Density of Plate using Chord Length for Flat Plate Case?

Static Density of Plate using Chord Length for Flat Plate Case calculator uses Static density = (Reynolds number using chord length*Static Viscosity)/(Static Velocity*Chord Length) to calculate the Static density, Static density of plate using chord length for flat plate case formula is defined as the interrelation between static density, static viscosity, static velocity, and chord length. Static density is denoted by ρe symbol.

How to calculate Static Density of Plate using Chord Length for Flat Plate Case using this online calculator? To use this online calculator for Static Density of Plate using Chord Length for Flat Plate Case, enter Reynolds number using chord length (Rec), Static Viscosity (μe), Static Velocity (ue) & Chord Length (LChord) and hit the calculate button. Here is how the Static Density of Plate using Chord Length for Flat Plate Case calculation can be explained with given input values -> 90.90909 = (2000*1.12)/(8.8*2.8).

FAQ

What is Static Density of Plate using Chord Length for Flat Plate Case?
Static density of plate using chord length for flat plate case formula is defined as the interrelation between static density, static viscosity, static velocity, and chord length and is represented as ρe = (Rec*μe)/(ue*LChord) or Static density = (Reynolds number using chord length*Static Viscosity)/(Static Velocity*Chord Length). Reynolds number using chord length, where the length is usually the chord length of an airfoil or the chord length of a wing. The chord length of a wing may vary from root to tip, Static viscosity, is the viscosity of continuous flow, viscosity measures the ratio of the viscous force to the inertial force on the fluid, Static velocity is the velocity of fluid at a point in the fluid, or velocity in the continuous flow & Chord Length is the length of a line segment connecting any two points on the circumference of a circle.
How to calculate Static Density of Plate using Chord Length for Flat Plate Case?
Static density of plate using chord length for flat plate case formula is defined as the interrelation between static density, static viscosity, static velocity, and chord length is calculated using Static density = (Reynolds number using chord length*Static Viscosity)/(Static Velocity*Chord Length). To calculate Static Density of Plate using Chord Length for Flat Plate Case, you need Reynolds number using chord length (Rec), Static Viscosity (μe), Static Velocity (ue) & Chord Length (LChord). With our tool, you need to enter the respective value for Reynolds number using chord length, Static Viscosity, Static Velocity & Chord Length 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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