Reynold Number for Drag Force on Plate Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reynolds Number for Boundary Layer Flow = (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))^2
Re = (FD/(0.73*b*μ*V))^2
This formula uses 5 Variables
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Drag Force on Boundary Layer Flow Plate: 0.03 Newton --> 0.03 Newton No Conversion Required
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Re = (FD/(0.73*b*μ*V))^2 --> (0.03/(0.73*0.74*0.001*0.15))^2
Evaluating ... ...
Re = 137072.657143864
STEP 3: Convert Result to Output's Unit
137072.657143864 --> No Conversion Required
FINAL ANSWER
137072.657143864 137072.7 <-- Reynolds Number for Boundary Layer Flow
(Calculation completed in 00.004 seconds)

Credits

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PSG College of Technology (PSGCT), Coimbatore
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21 Boundary Layer Flow Calculators

Shear Stress at Boundary for Turbulent Boundary Layer over Flat Plate
Go Shear Stress for Boundary Layer Flow = 0.0225*Fluid Density for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow^2*(Viscosity of Fluid for Boundary Layer Flow/(Fluid Density for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow*Thickness of Boundary Layer))^(1/4)
Viscosity of Liquid for Drag Force on Plate
Go Viscosity of Fluid for Boundary Layer Flow = Drag Force on Boundary Layer Flow Plate/(0.73*Breadth of Plate for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow*sqrt(Reynolds Number for Boundary Layer Flow))
Width of Plate for Drag Force on Plate
Go Breadth of Plate for Boundary Layer Flow = Drag Force on Boundary Layer Flow Plate/(0.73*Viscosity of Fluid for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow*sqrt(Reynolds Number for Boundary Layer Flow))
Drag Force on Plate
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)
Reynold Number for Drag Force on Plate
Go Reynolds Number for Boundary Layer Flow = (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))^2
Area of Surface for Average Drag Coefficient
Go Area of Surface for Boundary Layer Flow = Drag Force on Boundary Layer Flow Plate/(1/2*Coefficient of Drag for Boundary Layer Flow*Fluid Density for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow^2)
Average Coefficient of Drag for Drag Force
Go Coefficient of Drag for Boundary Layer Flow = Drag Force on Boundary Layer Flow Plate/(1/2*Fluid Density for Boundary Layer Flow*Area of Surface for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow^2)
Drag Force for Average Drag Coefficient
Go 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
Velocity of Fluid for Reynold Number
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
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
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
Freestream Velocity for Local Drag Coefficient
Go Freestream Velocity for Boundary Layer Flow = sqrt(Shear Stress for Boundary Layer Flow/(1/2*Fluid Density for Boundary Layer Flow*Local Drag Coefficient for Boundary Layer))
Local Drag Coefficient for Shear Stress
Go Local Drag Coefficient for Boundary Layer = Shear Stress for Boundary Layer Flow/(1/2*Fluid Density for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow^2)
Shear Stress for Local Drag Coefficient
Go Shear Stress for Boundary Layer Flow = 1/2*Local Drag Coefficient for Boundary Layer*Fluid Density for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow^2
Thickness of Boundary Layer for Blasius's Solution
Go Thickness of Boundary Layer = (4.91*Distance Leading Edge for Boundary Layer Flow)/(sqrt(Reynolds Number for Boundary Layer Flow))
Thickness of Boundary Layer
Go Thickness of Boundary Layer = (5.48*Distance Leading Edge for Boundary Layer Flow)/(sqrt(Reynolds Number for Boundary Layer Flow))
Distance from Leading Edge
Go Distance Leading Edge for Boundary Layer Flow = Thickness of Boundary Layer*(sqrt(Reynolds Number for Boundary Layer Flow))/5.48
Distance from Leading Edge for Blasius's Solution
Go Distance Leading Edge for Boundary Layer Flow = Thickness of Boundary Layer*sqrt(Reynolds Number for Boundary Layer Flow)/4.91
Coefficient of Drag for Blasius's Solution
Go Coefficient of Drag for Boundary Layer Flow = 1.328/(sqrt(Reynolds Number for Boundary Layer Flow))
Coefficient of Drag for Reynold Number
Go Coefficient of Drag for Boundary Layer Flow = 1.46/sqrt(Reynolds Number for Boundary Layer Flow)
Reynold Number for Drag Coefficient in Blasius's Solution
Go Reynolds Number for Boundary Layer Flow = (1.328/Coefficient of Drag for Boundary Layer Flow)^2

Reynold Number for Drag Force on Plate Formula

Reynolds Number for Boundary Layer Flow = (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))^2
Re = (FD/(0.73*b*μ*V))^2

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 drag is created in boundary layer?

In most situations, it is inevitable that the boundary layer becomes detached from a solid body. This boundary layer separation results in a large increase in the drag on the body.

How to Calculate Reynold Number for Drag Force on Plate?

Reynold Number for Drag Force on Plate calculator uses Reynolds Number for Boundary Layer Flow = (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))^2 to calculate the Reynolds Number for Boundary Layer Flow, The Reynold number for drag force on plate formula is known while considering the square root of the drag force on the plate by the viscosity of the fluid, the velocity of the fluid, and the width of the plate. Reynolds Number for Boundary Layer Flow is denoted by Re symbol.

How to calculate Reynold Number for Drag Force on Plate using this online calculator? To use this online calculator for Reynold Number for Drag Force on Plate, enter Drag Force on Boundary Layer Flow Plate (FD), Breadth of Plate for Boundary Layer Flow (b), Viscosity of Fluid for Boundary Layer Flow (μ) & Freestream Velocity for Boundary Layer Flow (V) and hit the calculate button. Here is how the Reynold Number for Drag Force on Plate calculation can be explained with given input values -> 137072.7 = (0.03/(0.73*0.74*0.001*0.15))^2.

FAQ

What is Reynold Number for Drag Force on Plate?
The Reynold number for drag force on plate formula is known while considering the square root of the drag force on the plate by the viscosity of the fluid, the velocity of the fluid, and the width of the plate and is represented as Re = (FD/(0.73*b*μ*V))^2 or Reynolds Number for Boundary Layer Flow = (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))^2. 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 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.
How to calculate Reynold Number for Drag Force on Plate?
The Reynold number for drag force on plate formula is known while considering the square root of the drag force on the plate by the viscosity of the fluid, the velocity of the fluid, and the width of the plate is calculated using Reynolds Number for Boundary Layer Flow = (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))^2. To calculate Reynold Number for Drag Force on Plate, you need Drag Force on Boundary Layer Flow Plate (FD), Breadth of Plate for Boundary Layer Flow (b), Viscosity of Fluid for Boundary Layer Flow (μ) & Freestream Velocity for Boundary Layer Flow (V). With our tool, you need to enter the respective value for Drag Force on Boundary Layer Flow Plate, Breadth of Plate for Boundary Layer Flow, Viscosity of Fluid for Boundary Layer Flow & Freestream Velocity 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 Reynolds Number for Boundary Layer Flow?
In this formula, Reynolds Number for Boundary Layer Flow uses Drag Force on Boundary Layer Flow Plate, Breadth of Plate for Boundary Layer Flow, Viscosity of Fluid for Boundary Layer Flow & Freestream Velocity for Boundary Layer Flow. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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
  • Reynolds Number for Boundary Layer Flow = (1.328/Coefficient of Drag for Boundary Layer Flow)^2
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