Shape Factor to Determine Nature of Flow Calculator

✖Displacement Thickness of Flow is defined as the thickness of flow (transverse distance measured perpendicular to the boundary of the solid surface) moving at the free stream velocity.ⓘ Displacement Thickness of Flow [𝛿^']			+10% -10%
✖Momentum thickness of flow is defined in relation to the momentum flow rate within the boundary layer. It is a measure of the boundary layer thickness.ⓘ Momentum Thickness of Flow [θ]			+10% -10%

✖Shape Factor of Flow is used in boundary layer flow to determine the nature of the flow, It is defined as the ratio of displacement thickness to the momentum thickness.ⓘ Shape Factor to Determine Nature of Flow [S_f]

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Shape Factor to Determine Nature of Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shape Factor of Flow = Displacement Thickness of Flow/Momentum Thickness of Flow
S_f = 𝛿^'/θ
This formula uses 3 Variables

Variables Used

Shape Factor of Flow - Shape Factor of Flow is used in boundary layer flow to determine the nature of the flow, It is defined as the ratio of displacement thickness to the momentum thickness.
Displacement Thickness of Flow - (Measured in Meter) - Displacement Thickness of Flow is defined as the thickness of flow (transverse distance measured perpendicular to the boundary of the solid surface) moving at the free stream velocity.
Momentum Thickness of Flow - (Measured in Meter) - Momentum thickness of flow is defined in relation to the momentum flow rate within the boundary layer. It is a measure of the boundary layer thickness.

STEP 1: Convert Input(s) to Base Unit

Displacement Thickness of Flow: 0.0248 Meter --> 0.0248 Meter No Conversion Required
Momentum Thickness of Flow: 0.0193 Meter --> 0.0193 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_f = 𝛿^'/θ --> 0.0248/0.0193

Evaluating ... ...

S_f = 1.28497409326425

STEP 3: Convert Result to Output's Unit

1.28497409326425 --> No Conversion Required

FINAL ANSWER

1.28497409326425 ≈ 1.284974 <-- Shape Factor of Flow

(Calculation completed in 00.004 seconds)

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Defence institute of advanced technology (DRDO) (DIAT), pune

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Shape Factor to Determine Nature of Flow Formula

LaTeX Go

Shape Factor of Flow = Displacement Thickness of Flow/Momentum Thickness of Flow
S_f = 𝛿^'/θ

What is the importance of the shape factor in turbulence?

A shape factor is used in boundary layer flow to help to differentiate laminar and turbulent flow. The higher the value of the shape factor, the stronger the adverse pressure gradient. A high adverse pressure gradient can greatly reduce the Reynolds number at which transition into turbulence may occur.

How to Calculate Shape Factor to Determine Nature of Flow?

Shape Factor to Determine Nature of Flow calculator uses Shape Factor of Flow = Displacement Thickness of Flow/Momentum Thickness of Flow to calculate the Shape Factor of Flow, The Shape factor to determine nature of flow formula is defined as a factor used in boundary layer flow to determine the nature of the flow. The higher the value of the shape factor, the stronger the adverse pressure gradient. Shape Factor of Flow is denoted by S_f symbol.

How to calculate Shape Factor to Determine Nature of Flow using this online calculator? To use this online calculator for Shape Factor to Determine Nature of Flow, enter Displacement Thickness of Flow (𝛿^') & Momentum Thickness of Flow (θ) and hit the calculate button. Here is how the Shape Factor to Determine Nature of Flow calculation can be explained with given input values -> 1.284974 = 0.0248/0.0193.

FAQ

What is Shape Factor to Determine Nature of Flow?

The Shape factor to determine nature of flow formula is defined as a factor used in boundary layer flow to determine the nature of the flow. The higher the value of the shape factor, the stronger the adverse pressure gradient and is represented as S_f = 𝛿^'/θ or Shape Factor of Flow = Displacement Thickness of Flow/Momentum Thickness of Flow. Displacement Thickness of Flow is defined as the thickness of flow (transverse distance measured perpendicular to the boundary of the solid surface) moving at the free stream velocity & Momentum thickness of flow is defined in relation to the momentum flow rate within the boundary layer. It is a measure of the boundary layer thickness.

How to calculate Shape Factor to Determine Nature of Flow?

The Shape factor to determine nature of flow formula is defined as a factor used in boundary layer flow to determine the nature of the flow. The higher the value of the shape factor, the stronger the adverse pressure gradient is calculated using Shape Factor of Flow = Displacement Thickness of Flow/Momentum Thickness of Flow. To calculate Shape Factor to Determine Nature of Flow, you need Displacement Thickness of Flow (𝛿^') & Momentum Thickness of Flow (θ). With our tool, you need to enter the respective value for Displacement Thickness of Flow & Momentum Thickness of 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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