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

✖Convective Mass Transfer Coefficient is the rate of mass transfer between a surface and a moving fluid in a laminar flow regime.ⓘ Convective Mass Transfer Coefficient [k_L]			+10% -10%
✖Schmidt Number is a dimensionless number used to characterize fluid flows, particularly in laminar flow, to describe the ratio of momentum diffusivity to mass diffusivity.ⓘ Schmidt Number [Sc]			+10% -10%
✖Friction Factor is a dimensionless quantity used to quantify the frictional force exerted by a fluid on a surface in laminar flow conditions.ⓘ Friction Factor [f]			+10% -10%

✖Free Stream Velocity is the velocity of a fluid that is far away from any obstacle or boundary, unaffected by the presence of the object.ⓘ Free stream velocity of flat plate laminar flow given friction factor [u_∞]

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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 the velocity of a fluid that is far away from any obstacle or boundary, unaffected by the presence of the object.
Convective Mass Transfer Coefficient - (Measured in Meter per Second) - Convective Mass Transfer Coefficient is the rate of mass transfer between a surface and a moving fluid in a laminar flow regime.
Schmidt Number - Schmidt Number is a dimensionless number used to characterize fluid flows, particularly in laminar flow, to describe the ratio of momentum diffusivity to mass diffusivity.
Friction Factor - Friction Factor is a dimensionless quantity used to quantify the frictional force exerted by a fluid on a surface in laminar flow conditions.

STEP 1: Convert Input(s) to Base Unit

Convective Mass Transfer Coefficient: 4E-05 Meter per Second --> 4E-05 Meter per Second No Conversion Required
Schmidt Number: 12 --> No Conversion Required
Friction Factor: 0.003643 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u_∞ = (8*k_L*(Sc^0.67))/f --> (8*4E-05*(12^0.67))/0.003643

Evaluating ... ...

u_∞ = 0.464239662610431

STEP 3: Convert Result to Output's Unit

0.464239662610431 Meter per Second --> No Conversion Required

FINAL ANSWER

0.464239662610431 ≈ 0.46424 Meter per Second <-- Free Stream Velocity

(Calculation completed in 00.020 seconds)

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Mass Transfer Boundary Layer Thickness of Flat Plate in Laminar Flow

LaTeX 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

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

Sherwood Number for Flat Plate in Laminar Flow

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

Drag coefficient of flat plate laminar flow

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

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

LaTeX Go

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

What is Friction Factor?

The friction factor is a dimensionless number used in fluid mechanics to quantify the resistance to flow within a pipe or duct due to friction between the fluid and the pipe walls. It is crucial for calculating pressure drop and flow rate in fluid systems. The friction factor depends on the flow regime—laminar or turbulent—as well as the Reynolds number and the roughness of the pipe's interior surface.

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, Free stream velocity of flat plate laminar flow given friction factor formula is defined as the velocity of a fluid that is far away from a flat plate, unaffected by the plate's presence, and is used to calculate the mass transfer rate in convective mass transfer processes. 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 -> 0.002684 = (8*4E-05*(12^0.67))/0.003643.

FAQ

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

Free stream velocity of flat plate laminar flow given friction factor formula is defined as the velocity of a fluid that is far away from a flat plate, unaffected by the plate's presence, and is used to calculate the mass transfer rate in convective mass transfer processes 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 the rate of mass transfer between a surface and a moving fluid in a laminar flow regime, Schmidt Number is a dimensionless number used to characterize fluid flows, particularly in laminar flow, to describe the ratio of momentum diffusivity to mass diffusivity & Friction Factor is a dimensionless quantity used to quantify the frictional force exerted by a fluid on a surface in laminar flow conditions.

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 formula is defined as the velocity of a fluid that is far away from a flat plate, unaffected by the plate's presence, and is used to calculate the mass transfer rate in convective mass transfer processes 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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