Free stream velocity of flat plate laminar flow 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%
✖Reynolds Number is a dimensionless value that predicts the nature of fluid flow, either laminar or turbulent, in a pipe or around an object.ⓘ Reynolds Number [Re]			+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 [u_∞]

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Free stream velocity of flat plate laminar flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Free Stream Velocity = (Convective Mass Transfer Coefficient*(Schmidt Number^0.67)*(Reynolds Number^0.5))/(0.322)
u_∞ = (k_L*(Sc^0.67)*(Re^0.5))/(0.322)
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.
Reynolds Number - Reynolds Number is a dimensionless value that predicts the nature of fluid flow, either laminar or turbulent, in a pipe or around an object.

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
Reynolds Number: 500000 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u_∞ = (k_L*(Sc^0.67)*(Re^0.5))/(0.322) --> (4E-05*(12^0.67)*(500000^0.5))/(0.322)

Evaluating ... ...

u_∞ = 0.464237861133934

STEP 3: Convert Result to Output's Unit

0.464237861133934 Meter per Second --> No Conversion Required

FINAL ANSWER

0.464237861133934 ≈ 0.464238 Meter per Second <-- Free Stream Velocity

(Calculation completed in 00.004 seconds)

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Created by Nishan Poojary

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

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< Laminar Flow Calculators

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 Formula

LaTeX Go

Free Stream Velocity = (Convective Mass Transfer Coefficient*(Schmidt Number^0.67)*(Reynolds Number^0.5))/(0.322)
u_∞ = (k_L*(Sc^0.67)*(Re^0.5))/(0.322)

What is Free Stream Velocity?

Free stream velocity is the velocity of a fluid (such as air or water) far away from any object, where the flow is unaffected by the presence of the object. It represents the speed of the fluid as it approaches an object, like an aircraft wing or a vehicle, before any interaction occurs. Free stream velocity is important in fluid dynamics and aerodynamics, as it helps in calculating forces like lift and drag on objects in motion. Understanding this velocity allows engineers and scientists to analyze flow patterns and optimize designs for improved performance.

How to Calculate Free stream velocity of flat plate laminar flow?

Free stream velocity of flat plate laminar flow calculator uses Free Stream Velocity = (Convective Mass Transfer Coefficient*(Schmidt Number^0.67)*(Reynolds Number^0.5))/(0.322) to calculate the Free Stream Velocity, Free stream velocity of flat plate laminar flow formula is defined as the velocity of the fluid approaching the flat plate in a laminar flow regime, which is a crucial parameter in convective mass transfer processes, particularly in the context of fluid dynamics and heat transfer. Free Stream Velocity is denoted by u_∞ symbol.

How to calculate Free stream velocity of flat plate laminar flow using this online calculator? To use this online calculator for Free stream velocity of flat plate laminar flow, enter Convective Mass Transfer Coefficient (k_L), Schmidt Number (Sc) & Reynolds Number (Re) and hit the calculate button. Here is how the Free stream velocity of flat plate laminar flow calculation can be explained with given input values -> 0.464238 = (4E-05*(12^0.67)*(500000^0.5))/(0.322).

FAQ

What is Free stream velocity of flat plate laminar flow?

Free stream velocity of flat plate laminar flow formula is defined as the velocity of the fluid approaching the flat plate in a laminar flow regime, which is a crucial parameter in convective mass transfer processes, particularly in the context of fluid dynamics and heat transfer and is represented as u_∞ = (k_L*(Sc^0.67)*(Re^0.5))/(0.322) or Free Stream Velocity = (Convective Mass Transfer Coefficient*(Schmidt Number^0.67)*(Reynolds Number^0.5))/(0.322). 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 & Reynolds Number is a dimensionless value that predicts the nature of fluid flow, either laminar or turbulent, in a pipe or around an object.

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

Free stream velocity of flat plate laminar flow formula is defined as the velocity of the fluid approaching the flat plate in a laminar flow regime, which is a crucial parameter in convective mass transfer processes, particularly in the context of fluid dynamics and heat transfer is calculated using Free Stream Velocity = (Convective Mass Transfer Coefficient*(Schmidt Number^0.67)*(Reynolds Number^0.5))/(0.322). To calculate Free stream velocity of flat plate laminar flow, you need Convective Mass Transfer Coefficient (k_L), Schmidt Number (Sc) & Reynolds Number (Re). With our tool, you need to enter the respective value for Convective Mass Transfer Coefficient, Schmidt Number & Reynolds Number 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 & Reynolds Number. We can use 2 other way(s) to calculate the same, which is/are as follows -

Free Stream Velocity = (2*Convective Mass Transfer Coefficient*(Schmidt Number^0.67))/Drag Coefficient
Free Stream Velocity = (8*Convective Mass Transfer Coefficient*(Schmidt Number^0.67))/Friction Factor

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