Drag per Unit Span Solution

STEP 0: Pre-Calculation Summary
Formula Used
Drag Force = (0.86*Dynamic Pressure*Distance from Leading Edge)/sqrt(Reynolds Number)
FD = (0.86*q*xL)/sqrt(Re)
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Drag Force - (Measured in Newton) - Drag Force is the resisting force experienced by an object moving through a fluid.
Dynamic Pressure - (Measured in Pascal) - Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid.
Distance from Leading Edge - (Measured in Meter) - The Distance from leading edge is known from the relation of drag force on a plate due to boundary layer.
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.
STEP 1: Convert Input(s) to Base Unit
Dynamic Pressure: 10 Pascal --> 10 Pascal No Conversion Required
Distance from Leading Edge: 15 Meter --> 15 Meter No Conversion Required
Reynolds Number: 6000 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
FD = (0.86*q*xL)/sqrt(Re) --> (0.86*10*15)/sqrt(6000)
Evaluating ... ...
FD = 1.66538283886919
STEP 3: Convert Result to Output's Unit
1.66538283886919 Newton --> No Conversion Required
FINAL ANSWER
1.66538283886919 1.665383 Newton <-- Drag Force
(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

Drag per Unit Span Formula

Drag Force = (0.86*Dynamic Pressure*Distance from Leading Edge)/sqrt(Reynolds Number)
FD = (0.86*q*xL)/sqrt(Re)

What is drag force?

A drag force is the resistance force caused by the motion of a body through a fluid, such as water or air. A drag force acts opposite to the direction of the oncoming flow velocity.

How to Calculate Drag per Unit Span?

Drag per Unit Span calculator uses Drag Force = (0.86*Dynamic Pressure*Distance from Leading Edge)/sqrt(Reynolds Number) to calculate the Drag Force, The Drag per unit span formula is defined as the ratio of the product of dynamic pressure and distance from the leading edge to the square root of the critical Reynolds number. Drag Force is denoted by FD symbol.

How to calculate Drag per Unit Span using this online calculator? To use this online calculator for Drag per Unit Span, enter Dynamic Pressure (q), Distance from Leading Edge (xL) & Reynolds Number (Re) and hit the calculate button. Here is how the Drag per Unit Span calculation can be explained with given input values -> 1.665383 = (0.86*10*15)/sqrt(6000).

FAQ

What is Drag per Unit Span?
The Drag per unit span formula is defined as the ratio of the product of dynamic pressure and distance from the leading edge to the square root of the critical Reynolds number and is represented as FD = (0.86*q*xL)/sqrt(Re) or Drag Force = (0.86*Dynamic Pressure*Distance from Leading Edge)/sqrt(Reynolds Number). Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid, The Distance from leading edge is known from the relation of drag force on a plate due to boundary layer & 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 Drag per Unit Span?
The Drag per unit span formula is defined as the ratio of the product of dynamic pressure and distance from the leading edge to the square root of the critical Reynolds number is calculated using Drag Force = (0.86*Dynamic Pressure*Distance from Leading Edge)/sqrt(Reynolds Number). To calculate Drag per Unit Span, you need Dynamic Pressure (q), Distance from Leading Edge (xL) & Reynolds Number (Re). With our tool, you need to enter the respective value for Dynamic Pressure, Distance from Leading Edge & Reynolds 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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