Local Drag Coefficient for Shear Stress Calculator

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✖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.ⓘ Shear Stress for Boundary Layer Flow [𝜏]			+10% -10%
✖Fluid density for boundary layer flow is defined as the mass of fluid per unit volume of the fluid.ⓘ Fluid Density for Boundary Layer Flow [ρ_f]			+10% -10%
✖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.ⓘ Freestream Velocity for Boundary Layer Flow [V_∞]			+10% -10%

✖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.ⓘ Local Drag Coefficient for Shear Stress [CD^*]

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Formula

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Local Drag Coefficient for Shear Stress

Formula

`"CD"^{"*"} = "𝜏"/(1/2*"ρ"_{"f"}*"V"_{"∞"}^2)`

Example

`"0.006792"="0.068N/m²"/(1/2*"890kg/m³"*("0.15m/s")^2)`

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Local Drag Coefficient for Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
CD^* = 𝜏/(1/2*ρ_f*V_∞^2)
This formula uses 4 Variables

Variables Used

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.
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.
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

Shear Stress for Boundary Layer Flow: 0.068 Newton per Square Meter --> 0.068 Pascal (Check conversion here)
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

CD^* = 𝜏/(1/2*ρ_f*V_∞^2) --> 0.068/(1/2*890*0.15^2)

Evaluating ... ...

CD^* = 0.00679151061173533

STEP 3: Convert Result to Output's Unit

0.00679151061173533 --> No Conversion Required

FINAL ANSWER

0.00679151061173533 ≈ 0.006792 <-- Local Drag Coefficient for Boundary Layer

(Calculation completed in 00.004 seconds)

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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

Local Drag Coefficient for Shear Stress Formula

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 Local Drag Coefficient for Shear Stress?

Local Drag Coefficient for Shear Stress calculator uses 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) to calculate the Local Drag Coefficient for Boundary Layer, The Local drag coefficient for shear stress is known while considering the ratio of shear stress to half the density of fluid, and freestream velocity. Local Drag Coefficient for Boundary Layer is denoted by CD^* symbol.

How to calculate Local Drag Coefficient for Shear Stress using this online calculator? To use this online calculator for Local Drag Coefficient for Shear Stress, enter Shear Stress for Boundary Layer Flow (𝜏), Fluid Density for Boundary Layer Flow (ρ_f) & Freestream Velocity for Boundary Layer Flow (V_∞) and hit the calculate button. Here is how the Local Drag Coefficient for Shear Stress calculation can be explained with given input values -> 0.006792 = 0.068/(1/2*890*0.15^2).

FAQ

What is Local Drag Coefficient for Shear Stress?

The Local drag coefficient for shear stress is known while considering the ratio of shear stress to half the density of fluid, and freestream velocity and is represented as CD^* = 𝜏/(1/2*ρ_f*V_∞^2) or 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 boundary layer flow is force tending to cause deformation of the fluid by slippage along a plane or planes parallel to the imposed stress, 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 Local Drag Coefficient for Shear Stress?

The Local drag coefficient for shear stress is known while considering the ratio of shear stress to half the density of fluid, and freestream velocity is calculated using 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). To calculate Local Drag Coefficient for Shear Stress, you need Shear Stress for Boundary Layer Flow (𝜏), Fluid Density for Boundary Layer Flow (ρ_f) & Freestream Velocity for Boundary Layer Flow (V_∞). With our tool, you need to enter the respective value for Shear Stress for Boundary Layer Flow, 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.

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