Shear Stress for Local Drag Coefficient Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
๐œ = 1/2*CD**ฯf*Vโˆž^2
This formula uses 4 Variables
Variables Used
Shear Stress for Boundary Layer Flow - (Measured in Pascal) - Shear stress for boundary layer flow is force tending to cause deformation of the fluid by slippage along a plane or planes parallel to the imposed stress.
Local Drag Coefficient for Boundary Layer - The Local Drag Coefficient for Boundary Layer Flow is a ratio of wall shear stress at any distance x from the leading edge to dynamic pressure.
Fluid Density for Boundary Layer Flow - (Measured in Kilogram per Cubic Meter) - Fluid density for boundary layer flow is defined as the mass of fluid per unit volume of the fluid.
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
Local Drag Coefficient for Boundary Layer: 0.0067 --> No Conversion Required
Fluid Density for Boundary Layer Flow: 890 Kilogram per Cubic Meter --> 890 Kilogram per Cubic Meter No Conversion Required
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
๐œ = 1/2*CD**ฯf*Vโˆž^2 --> 1/2*0.0067*890*0.15^2
Evaluating ... ...
๐œ = 0.06708375
STEP 3: Convert Result to Output's Unit
0.06708375 Pascal -->0.06708375 Newton per Square Meter (Check conversion here)
FINAL ANSWER
0.06708375 โ‰ˆ 0.067084 Newton per Square Meter <-- Shear Stress for Boundary Layer Flow
(Calculation completed in 00.020 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

Shear Stress for Local Drag Coefficient Formula

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
๐œ = 1/2*CD**ฯf*Vโˆž^2

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.

What is drag coefficient in fluid mechanics?

In fluid dynamics, the drag coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.

How to Calculate Shear Stress for Local Drag Coefficient?

Shear Stress for Local Drag Coefficient calculator uses 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 to calculate the Shear Stress for Boundary Layer Flow, The Shear stress for local drag coefficient formula is known while considering the terms drag coefficient, density of the fluid, and freestream velocity. Shear Stress for Boundary Layer Flow is denoted by ๐œ symbol.

How to calculate Shear Stress for Local Drag Coefficient using this online calculator? To use this online calculator for Shear Stress for Local Drag Coefficient, enter Local Drag Coefficient for Boundary Layer (CD*), Fluid Density for Boundary Layer Flow (ฯf) & Freestream Velocity for Boundary Layer Flow (Vโˆž) and hit the calculate button. Here is how the Shear Stress for Local Drag Coefficient calculation can be explained with given input values -> 0.067084 = 1/2*0.0067*890*0.15^2.

FAQ

What is Shear Stress for Local Drag Coefficient?
The Shear stress for local drag coefficient formula is known while considering the terms drag coefficient, density of the fluid, and freestream velocity and is represented as ๐œ = 1/2*CD**ฯf*Vโˆž^2 or 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. The Local Drag Coefficient for Boundary Layer Flow is a ratio of wall shear stress at any distance x from the leading edge to dynamic pressure, Fluid density for boundary layer flow is defined as the mass of fluid per unit volume of the fluid & 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 Shear Stress for Local Drag Coefficient?
The Shear stress for local drag coefficient formula is known while considering the terms drag coefficient, density of the fluid, and freestream velocity is calculated using 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. To calculate Shear Stress for Local Drag Coefficient, you need Local Drag Coefficient for Boundary Layer (CD*), Fluid Density for Boundary Layer Flow (ฯf) & Freestream Velocity for Boundary Layer Flow (Vโˆž). With our tool, you need to enter the respective value for Local Drag Coefficient for Boundary Layer, Fluid Density 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 Shear Stress for Boundary Layer Flow?
In this formula, Shear Stress for Boundary Layer Flow uses Local Drag Coefficient for Boundary Layer, Fluid Density for Boundary Layer Flow & Freestream Velocity for Boundary Layer Flow. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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)
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