Coefficient of Friction using Stanton Number for Flat Plate Case Solution

STEP 0: Pre-Calculation Summary
Formula Used
Coefficient of Friction = (2*Stanton Number)/(Prandtl Number^(-2/3))
μfriction = (2*St)/(Pr^(-2/3))
This formula uses 3 Variables
Variables Used
Coefficient of Friction - The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
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.
Prandtl Number - The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.
STEP 1: Convert Input(s) to Base Unit
Stanton Number: 0.4 --> No Conversion Required
Prandtl Number: 0.7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μfriction = (2*St)/(Pr^(-2/3)) --> (2*0.4)/(0.7^(-2/3))
Evaluating ... ...
μfriction = 0.630698813048419
STEP 3: Convert Result to Output's Unit
0.630698813048419 --> No Conversion Required
FINAL ANSWER
0.630698813048419 0.630699 <-- Coefficient of Friction
(Calculation completed in 00.004 seconds)

Credits

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

Coefficient of Friction using Stanton Number for Flat Plate Case Formula

Coefficient of Friction = (2*Stanton Number)/(Prandtl Number^(-2/3))
μfriction = (2*St)/(Pr^(-2/3))

What is Prandtl number?

The Prandtl Number is a dimensionless number approximating the ratio of momentum diffusivity to thermal diffusivity.

How to Calculate Coefficient of Friction using Stanton Number for Flat Plate Case?

Coefficient of Friction using Stanton Number for Flat Plate Case calculator uses Coefficient of Friction = (2*Stanton Number)/(Prandtl Number^(-2/3)) to calculate the Coefficient of Friction, The Coefficient of friction using Stanton number for flat plate case formula is defined as the interrelation between the coefficient of friction and Prandtl number. Coefficient of Friction is denoted by μfriction symbol.

How to calculate Coefficient of Friction using Stanton Number for Flat Plate Case using this online calculator? To use this online calculator for Coefficient of Friction using Stanton Number for Flat Plate Case, enter Stanton Number (St) & Prandtl Number (Pr) and hit the calculate button. Here is how the Coefficient of Friction using Stanton Number for Flat Plate Case calculation can be explained with given input values -> 0.157675 = (2*0.4)/(0.7^(-2/3)).

FAQ

What is Coefficient of Friction using Stanton Number for Flat Plate Case?
The Coefficient of friction using Stanton number for flat plate case formula is defined as the interrelation between the coefficient of friction and Prandtl number and is represented as μfriction = (2*St)/(Pr^(-2/3)) or Coefficient of Friction = (2*Stanton Number)/(Prandtl Number^(-2/3)). The Stanton Number is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of the fluid & The Prandtl number (Pr) or Prandtl group is a dimensionless number, named after the German physicist Ludwig Prandtl, defined as the ratio of momentum diffusivity to thermal diffusivity.
How to calculate Coefficient of Friction using Stanton Number for Flat Plate Case?
The Coefficient of friction using Stanton number for flat plate case formula is defined as the interrelation between the coefficient of friction and Prandtl number is calculated using Coefficient of Friction = (2*Stanton Number)/(Prandtl Number^(-2/3)). To calculate Coefficient of Friction using Stanton Number for Flat Plate Case, you need Stanton Number (St) & Prandtl Number (Pr). With our tool, you need to enter the respective value for Stanton Number & Prandtl Number 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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