Drag Force on Plate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Drag Force on Boundary Layer Flow Plate = 0.73*Breadth of Plate for Boundary Layer Flow*Viscosity of Fluid for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow*sqrt(Reynolds Number for Boundary Layer Flow)
FD = 0.73*b*μ*V*sqrt(Re)
This formula uses 1 Functions, 5 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 on Boundary Layer Flow Plate - (Measured in Newton) - Drag Force on Boundary Layer Flow Plate is the resisting force experienced by an object moving through a fluid.
Breadth of Plate for Boundary Layer Flow - (Measured in Meter) - Breadth of plate for boundary layer flow is the measurement or extent of plate from side to side.
Viscosity of Fluid for Boundary Layer Flow - (Measured in Pascal Second) - Viscosity of Fluid for boundary layer flow is a measure of fluid's resistance to deformation at a given rate.
Freestream Velocity for Boundary Layer Flow - (Measured in Meter per Second) - Freestream velocity for boundary layer flow is the velocity of fluid far upstream of a body, that is before the body has a chance to deflect, slow down the fluid.
Reynolds Number for Boundary Layer Flow - Reynolds Number for boundary layer flow 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
Breadth of Plate for Boundary Layer Flow: 0.74 Meter --> 0.74 Meter No Conversion Required
Viscosity of Fluid for Boundary Layer Flow: 0.001 Newton Second per Square Meter --> 0.001 Pascal Second (Check conversion ​here)
Freestream Velocity for Boundary Layer Flow: 0.15 Meter per Second --> 0.15 Meter per Second No Conversion Required
Reynolds Number for Boundary Layer Flow: 150000 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
FD = 0.73*b*μ*V*sqrt(Re) --> 0.73*0.74*0.001*0.15*sqrt(150000)
Evaluating ... ...
FD = 0.0313827840543187
STEP 3: Convert Result to Output's Unit
0.0313827840543187 Newton --> No Conversion Required
FINAL ANSWER
0.0313827840543187 0.031383 Newton <-- Drag Force on Boundary Layer Flow Plate
(Calculation completed in 00.004 seconds)

Credits

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Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Verified by Shikha Maurya
Indian Institute of Technology (IIT), Bombay
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Boundary Layer Flow Calculators

Velocity of Fluid for Reynold Number
​ LaTeX ​ Go Freestream Velocity for Boundary Layer Flow = (Reynolds Number for Boundary Layer Flow*Viscosity of Fluid for Boundary Layer Flow)/(Fluid Density for Boundary Layer Flow*Length of Plate for Boundary Layer Flow)
Length of Plate for Reynold Number
​ LaTeX ​ Go Length of Plate for Boundary Layer Flow = (Reynolds Number for Boundary Layer Flow*Viscosity of Fluid for Boundary Layer Flow)/(Fluid Density for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow)
Reynold Number at End of Plate
​ LaTeX ​ Go Reynolds Number for Boundary Layer Flow = (Fluid Density for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow*Length of Plate for Boundary Layer Flow)/Viscosity of Fluid for Boundary Layer Flow
Thickness of Boundary Layer
​ LaTeX ​ Go Thickness of Boundary Layer = (5.48*Distance Leading Edge for Boundary Layer Flow)/(sqrt(Reynolds Number for Boundary Layer Flow))

Drag Force on Plate Formula

​LaTeX ​Go
Drag Force on Boundary Layer Flow Plate = 0.73*Breadth of Plate for Boundary Layer Flow*Viscosity of Fluid for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow*sqrt(Reynolds Number for Boundary Layer Flow)
FD = 0.73*b*μ*V*sqrt(Re)

What is Reynolds number in boundary layer flow?

The Reynolds number is the ratio of inertial forces to viscous forces within a fluid that is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.

What are the two types of flow associated with the boundary layer?

There are two different types of boundary layer flow: laminar and turbulent. The laminar boundary is a very smooth flow, while the turbulent boundary layer contains swirls or "eddies." The laminar flow creates less skin friction drag than the turbulent flow but is less stable.

How to Calculate Drag Force on Plate?

Drag Force on Plate calculator uses Drag Force on Boundary Layer Flow Plate = 0.73*Breadth of Plate for Boundary Layer Flow*Viscosity of Fluid for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow*sqrt(Reynolds Number for Boundary Layer Flow) to calculate the Drag Force on Boundary Layer Flow Plate, The Drag force on plate is known while considering the width of the plate, viscosity and the velocity of the fluid, and the Reynolds number at the plate. Drag Force on Boundary Layer Flow Plate is denoted by FD symbol.

How to calculate Drag Force on Plate using this online calculator? To use this online calculator for Drag Force on Plate, enter Breadth of Plate for Boundary Layer Flow (b), Viscosity of Fluid for Boundary Layer Flow (μ), Freestream Velocity for Boundary Layer Flow (V) & Reynolds Number for Boundary Layer Flow (Re) and hit the calculate button. Here is how the Drag Force on Plate calculation can be explained with given input values -> 0.031383 = 0.73*0.74*0.001*0.15*sqrt(150000).

FAQ

What is Drag Force on Plate?
The Drag force on plate is known while considering the width of the plate, viscosity and the velocity of the fluid, and the Reynolds number at the plate and is represented as FD = 0.73*b*μ*V*sqrt(Re) or Drag Force on Boundary Layer Flow Plate = 0.73*Breadth of Plate for Boundary Layer Flow*Viscosity of Fluid for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow*sqrt(Reynolds Number for Boundary Layer Flow). Breadth of plate for boundary layer flow is the measurement or extent of plate from side to side, Viscosity of Fluid for boundary layer flow is a measure of fluid's resistance to deformation at a given rate, Freestream velocity for boundary layer flow is the velocity of fluid far upstream of a body, that is before the body has a chance to deflect, slow down the fluid & Reynolds Number for boundary layer flow 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 Force on Plate?
The Drag force on plate is known while considering the width of the plate, viscosity and the velocity of the fluid, and the Reynolds number at the plate is calculated using Drag Force on Boundary Layer Flow Plate = 0.73*Breadth of Plate for Boundary Layer Flow*Viscosity of Fluid for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow*sqrt(Reynolds Number for Boundary Layer Flow). To calculate Drag Force on Plate, you need Breadth of Plate for Boundary Layer Flow (b), Viscosity of Fluid for Boundary Layer Flow (μ), Freestream Velocity for Boundary Layer Flow (V) & Reynolds Number for Boundary Layer Flow (Re). With our tool, you need to enter the respective value for Breadth of Plate for Boundary Layer Flow, Viscosity of Fluid for Boundary Layer Flow, Freestream Velocity for Boundary Layer Flow & Reynolds Number for Boundary Layer Flow and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Drag Force on Boundary Layer Flow Plate?
In this formula, Drag Force on Boundary Layer Flow Plate uses Breadth of Plate for Boundary Layer Flow, Viscosity of Fluid for Boundary Layer Flow, Freestream Velocity for Boundary Layer Flow & Reynolds Number for Boundary Layer Flow. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Drag Force on Boundary Layer Flow Plate = 1/2*Coefficient of Drag for Boundary Layer Flow*Fluid Density for Boundary Layer Flow*Area of Surface for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow^2
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