Free stream velocity of flat plate laminar flow given friction factor 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%
✖The Friction factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.ⓘ Friction Factor [f]			+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 laminar flow given friction factor [u_∞]

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Formula

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Free stream velocity of flat plate laminar flow given friction factor

Formula

u ∞ = \frac{8 \cdot k L \cdot ({Sc}^{0.67})}{f}

Example

0.302004 m/s = \frac{8 \cdot 4.5e-3 m/s \cdot (12^{0.67})}{0.63}

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Free stream velocity of flat plate laminar flow given friction factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Free Stream Velocity = (8*Convective Mass Transfer Coefficient*(Schmidt Number^0.67))/Friction Factor
u_∞ = (8*k_L*(Sc^0.67))/f
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.
Friction Factor - The Friction factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.

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
Friction Factor: 0.63 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u_∞ = (8*k_L*(Sc^0.67))/f --> (8*0.0045*(12^0.67))/0.63

Evaluating ... ...

u_∞ = 0.302004480516036

STEP 3: Convert Result to Output's Unit

0.302004480516036 Meter per Second --> No Conversion Required

FINAL ANSWER

0.302004480516036 ≈ 0.302004 Meter per Second <-- Free Stream Velocity

(Calculation completed in 00.004 seconds)

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< Laminar Flow Calculators

Mass Transfer Boundary Layer Thickness of Flat Plate in Laminar Flow

Go Mass Transfer Boundary Layer Thickness at x = Hydrodynamic Boundary Layer Thickness*(Schmidt Number^(-0.333))

Local Sherwood Number for Flat Plate in Laminar Flow

Go Local Sherwood Number = 0.332*(Local Reynolds Number^0.5)*(Schmidt Number^0.333)

Sherwood Number for Flat Plate in Laminar Flow

Go Average Sherwood Number = 0.664*(Reynolds Number^0.5)*(Schmidt Number^0.333)

Drag coefficient of flat plate laminar flow

Go Drag Coefficient = 0.644/(Reynolds Number^0.5)

Free stream velocity of flat plate laminar flow given friction factor Formula

Free Stream Velocity = (8*Convective Mass Transfer Coefficient*(Schmidt Number^0.67))/Friction Factor
u_∞ = (8*k_L*(Sc^0.67))/f

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 laminar flow given friction factor?

Free stream velocity of flat plate laminar flow given friction factor calculator uses Free Stream Velocity = (8*Convective Mass Transfer Coefficient*(Schmidt Number^0.67))/Friction Factor to calculate the Free Stream Velocity, The Free stream velocity of flat plate laminar flow given friction factor 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 laminar flow given friction factor using this online calculator? To use this online calculator for Free stream velocity of flat plate laminar flow given friction factor, enter Convective Mass Transfer Coefficient (k_L), Schmidt Number (Sc) & Friction Factor (f) and hit the calculate button. Here is how the Free stream velocity of flat plate laminar flow given friction factor calculation can be explained with given input values -> 0.637565 = (8*0.0045*(12^0.67))/0.63.

FAQ

What is Free stream velocity of flat plate laminar flow given friction factor?

The Free stream velocity of flat plate laminar flow given friction factor 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_∞ = (8*k_L*(Sc^0.67))/f or Free Stream Velocity = (8*Convective Mass Transfer Coefficient*(Schmidt Number^0.67))/Friction Factor. 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 & The Friction factor or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.

How to calculate Free stream velocity of flat plate laminar flow given friction factor?

The Free stream velocity of flat plate laminar flow given friction factor 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 = (8*Convective Mass Transfer Coefficient*(Schmidt Number^0.67))/Friction Factor. To calculate Free stream velocity of flat plate laminar flow given friction factor, you need Convective Mass Transfer Coefficient (k_L), Schmidt Number (Sc) & Friction Factor (f). With our tool, you need to enter the respective value for Convective Mass Transfer Coefficient, Schmidt Number & Friction Factor 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 & Friction Factor. We can use 2 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^0.5))/(0.322)
Free Stream Velocity = (2*Convective Mass Transfer Coefficient*(Schmidt Number^0.67))/Drag Coefficient

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