Free stream velocity of flat plate having combined flow given drag coefficient Calculator

✖Convective Mass Transfer Coefficient is a function of geometry of the system and the velocity and properties of the fluid similar to the heat transfer coefficient.ⓘ Convective Mass Transfer Coefficient [k_L]			+10% -10%
✖Schmidt number (Sc) is a dimensionless number defined as the ratio of momentum diffusivity (kinematic viscosity) and mass diffusivity.ⓘ Schmidt Number [Sc]			+10% -10%
✖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.ⓘ Drag Coefficient [C_D]			+10% -10%

✖Free Stream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity.ⓘ Free stream velocity of flat plate having combined flow given drag coefficient [u_∞]

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Formula

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Free stream velocity of flat plate having combined flow given drag coefficient

Formula

u ∞ = \frac{2 \cdot k L \cdot ({Sc}^{0.67})}{C D}

Example

0.001586 m/s = \frac{2 \cdot 4.5e-3 m/s \cdot (12^{0.67})}{30}

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Free stream velocity of flat plate having combined flow given drag coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Free Stream Velocity = (2*Convective Mass Transfer Coefficient*(Schmidt Number^0.67))/Drag Coefficient
u_∞ = (2*k_L*(Sc^0.67))/C_D
This formula uses 4 Variables

Variables Used

Free Stream Velocity - (Measured in Meter per Second) - Free Stream Velocity is defined as at some distance above the boundary the velocity reaches a constant value that is free stream velocity.
Convective Mass Transfer Coefficient - (Measured in Meter per Second) - Convective Mass Transfer Coefficient is a function of geometry of the system and the velocity and properties of the fluid similar to the heat transfer coefficient.
Schmidt Number - Schmidt number (Sc) is a dimensionless number defined as the ratio of momentum diffusivity (kinematic viscosity) and mass diffusivity.
Drag Coefficient - 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.

STEP 1: Convert Input(s) to Base Unit

Convective Mass Transfer Coefficient: 0.0045 Meter per Second --> 0.0045 Meter per Second No Conversion Required
Schmidt Number: 12 --> No Conversion Required
Drag Coefficient: 30 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u_∞ = (2*k_L*(Sc^0.67))/C_D --> (2*0.0045*(12^0.67))/30

Evaluating ... ...

u_∞ = 0.00158552352270919

STEP 3: Convert Result to Output's Unit

0.00158552352270919 Meter per Second --> No Conversion Required

FINAL ANSWER

0.00158552352270919 ≈ 0.001586 Meter per Second <-- Free Stream Velocity

(Calculation completed in 00.004 seconds)

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Home » Physics » Heat and Mass Transfer » Convective Mass Transfer » Mechanical » Laminar and Turbulent Flow » Free stream velocity of flat plate having combined flow given drag coefficient

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< Laminar and Turbulent Flow Calculators

Density of material given convective heat and mass transfer coefficient

Go Density = (Heat Transfer Coefficient)/(Convective Mass Transfer Coefficient*Specific Heat*(Lewis Number^0.67))

Friction factor in internal flow

Go Friction Factor = (8*Convective Mass Transfer Coefficient*(Schmidt Number^0.67))/Free Stream Velocity

Average Sherwood Number of Combined Laminar and Turbulent Flow

Go Average Sherwood Number = ((0.037*(Reynolds Number^0.8))-871)*(Schmidt Number^0.333)

Drag coefficient of flat plate in combined laminar turbulent flow

Go Drag Coefficient = 0.0571/(Reynolds Number^0.2)

Free stream velocity of flat plate having combined flow given drag coefficient Formula

Free Stream Velocity = (2*Convective Mass Transfer Coefficient*(Schmidt Number^0.67))/Drag Coefficient
u_∞ = (2*k_L*(Sc^0.67))/C_D

What is convective mass transfer?

Mass transfer by convection involves the transport of material between a boundary surface (such as solid or liquid surface) and a moving fluid or between two relatively immiscible, moving fluids.
In forced convection type the fluid moves under the influence of an external force (pressure difference)as in the case of transfer of liquids by pumps and gases by compressors.
Natural convection currents develop if there is any variation in density within the fluid phase. The density variation may be due to temperature differences or to relatively large concentration differences.

How to Calculate Free stream velocity of flat plate having combined flow given drag coefficient?

Free stream velocity of flat plate having combined flow given drag coefficient calculator uses Free Stream Velocity = (2*Convective Mass Transfer Coefficient*(Schmidt Number^0.67))/Drag Coefficient to calculate the Free Stream Velocity, The Free stream velocity of flat plate having combined flow given drag coefficient formula is defined as the velocity of the mass at a distance above the boundary where the velocity is constant. Free Stream Velocity is denoted by u_∞ symbol.

How to calculate Free stream velocity of flat plate having combined flow given drag coefficient using this online calculator? To use this online calculator for Free stream velocity of flat plate having combined flow given drag coefficient, enter Convective Mass Transfer Coefficient (k_L), Schmidt Number (Sc) & Drag Coefficient (C_D) and hit the calculate button. Here is how the Free stream velocity of flat plate having combined flow given drag coefficient calculation can be explained with given input values -> 0.003347 = (2*0.0045*(12^0.67))/30.

FAQ

What is Free stream velocity of flat plate having combined flow given drag coefficient?

The Free stream velocity of flat plate having combined flow given drag coefficient formula is defined as the velocity of the mass at a distance above the boundary where the velocity is constant and is represented as u_∞ = (2*k_L*(Sc^0.67))/C_D or Free Stream Velocity = (2*Convective Mass Transfer Coefficient*(Schmidt Number^0.67))/Drag Coefficient. Convective Mass Transfer Coefficient is a function of geometry of the system and the velocity and properties of the fluid similar to the heat transfer coefficient, Schmidt number (Sc) is a dimensionless number defined as the ratio of momentum diffusivity (kinematic viscosity) and mass diffusivity & 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 Free stream velocity of flat plate having combined flow given drag coefficient?

The Free stream velocity of flat plate having combined flow given drag coefficient formula is defined as the velocity of the mass at a distance above the boundary where the velocity is constant is calculated using Free Stream Velocity = (2*Convective Mass Transfer Coefficient*(Schmidt Number^0.67))/Drag Coefficient. To calculate Free stream velocity of flat plate having combined flow given drag coefficient, you need Convective Mass Transfer Coefficient (k_L), Schmidt Number (Sc) & Drag Coefficient (C_D). With our tool, you need to enter the respective value for Convective Mass Transfer Coefficient, Schmidt Number & Drag Coefficient 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 Free Stream Velocity?

In this formula, Free Stream Velocity uses Convective Mass Transfer Coefficient, Schmidt Number & Drag Coefficient. We can use 1 other way(s) to calculate the same, which is/are as follows -

Free Stream Velocity = (Convective Mass Transfer Coefficient*(Schmidt Number^0.67)*(Reynolds Number^0.2))/0.0286

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