Drag Coefficient of Flat Plate Laminar Flow using Schmidt Number Solution

STEP 0: Pre-Calculation Summary
Formula Used
Drag Coefficient = (2*Convective Mass Transfer Coefficient*(Schmidt Number^0.67))/Free Stream Velocity
CD = (2*kL*(Sc^0.67))/u
This formula uses 4 Variables
Variables Used
Drag Coefficient - Drag Coefficient is a dimensionless quantity used to quantify the drag or resistance of an object in a fluid, typically air or water, in laminar flow conditions.
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.
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.
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
Free Stream Velocity: 0.464238 Meter per Second --> 0.464238 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
CD = (2*kL*(Sc^0.67))/u --> (2*4E-05*(12^0.67))/0.464238
Evaluating ... ...
CD = 0.000910753261737407
STEP 3: Convert Result to Output's Unit
0.000910753261737407 --> No Conversion Required
FINAL ANSWER
0.000910753261737407 0.000911 <-- Drag Coefficient
(Calculation completed in 00.004 seconds)

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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Convective Mass Transfer Coefficient of Flat Plate Laminar Flow using Drag Coefficient
​ LaTeX ​ Go Convective Mass Transfer Coefficient = (Drag Coefficient*Free Stream Velocity)/(2*(Schmidt Number^0.67))
Average Sherwood Number of Combined Laminar and Turbulent Flow
​ LaTeX ​ Go Average Sherwood Number = ((0.037*(Reynolds Number^0.8))-871)*(Schmidt Number^0.333)
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​ LaTeX ​ Go Average Sherwood Number = 0.023*(Reynolds Number^0.83)*(Schmidt Number^0.44)
Average Sherwood Number of Flat Plate Turbulent Flow
​ LaTeX ​ Go Average Sherwood Number = 0.037*(Reynolds Number^0.8)

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)

Drag Coefficient of Flat Plate Laminar Flow using Schmidt Number Formula

​LaTeX ​Go
Drag Coefficient = (2*Convective Mass Transfer Coefficient*(Schmidt Number^0.67))/Free Stream Velocity
CD = (2*kL*(Sc^0.67))/u

What is Schmidt Number?

The Schmidt number is a dimensionless number used in fluid mechanics to characterize the relative effects of momentum diffusivity (viscosity) and mass diffusivity in a fluid. It is defined as the ratio of the kinematic viscosity of the fluid to its mass diffusivity. A low Schmidt number indicates that momentum diffuses faster than mass, which is common in gases, while a high Schmidt number suggests that mass diffuses faster than momentum, typically seen in liquids. The Schmidt number is important in analyzing mass transfer processes, such as diffusion and convection, and is commonly used in chemical engineering, environmental studies, and heat exchanger design. Understanding the Schmidt number helps engineers optimize processes involving mass transfer and fluid flow.

How to Calculate Drag Coefficient of Flat Plate Laminar Flow using Schmidt Number?

Drag Coefficient of Flat Plate Laminar Flow using Schmidt Number calculator uses Drag Coefficient = (2*Convective Mass Transfer Coefficient*(Schmidt Number^0.67))/Free Stream Velocity to calculate the Drag Coefficient, Drag Coefficient of Flat Plate Laminar Flow using Schmidt Number formula is defined as a dimensionless quantity that characterizes the drag resistance of a flat plate in a laminar flow regime, influenced by the Schmidt number, which represents the ratio of momentum diffusivity to mass diffusivity in a fluid. Drag Coefficient is denoted by CD symbol.

How to calculate Drag Coefficient of Flat Plate Laminar Flow using Schmidt Number using this online calculator? To use this online calculator for Drag Coefficient of Flat Plate Laminar Flow using Schmidt Number, enter Convective Mass Transfer Coefficient (kL), Schmidt Number (Sc) & Free Stream Velocity (u) and hit the calculate button. Here is how the Drag Coefficient of Flat Plate Laminar Flow using Schmidt Number calculation can be explained with given input values -> 4E-5 = (2*4E-05*(12^0.67))/0.464238.

FAQ

What is Drag Coefficient of Flat Plate Laminar Flow using Schmidt Number?
Drag Coefficient of Flat Plate Laminar Flow using Schmidt Number formula is defined as a dimensionless quantity that characterizes the drag resistance of a flat plate in a laminar flow regime, influenced by the Schmidt number, which represents the ratio of momentum diffusivity to mass diffusivity in a fluid and is represented as CD = (2*kL*(Sc^0.67))/u or Drag Coefficient = (2*Convective Mass Transfer Coefficient*(Schmidt Number^0.67))/Free Stream Velocity. 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 & 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.
How to calculate Drag Coefficient of Flat Plate Laminar Flow using Schmidt Number?
Drag Coefficient of Flat Plate Laminar Flow using Schmidt Number formula is defined as a dimensionless quantity that characterizes the drag resistance of a flat plate in a laminar flow regime, influenced by the Schmidt number, which represents the ratio of momentum diffusivity to mass diffusivity in a fluid is calculated using Drag Coefficient = (2*Convective Mass Transfer Coefficient*(Schmidt Number^0.67))/Free Stream Velocity. To calculate Drag Coefficient of Flat Plate Laminar Flow using Schmidt Number, you need Convective Mass Transfer Coefficient (kL), Schmidt Number (Sc) & Free Stream Velocity (u). With our tool, you need to enter the respective value for Convective Mass Transfer Coefficient, Schmidt Number & Free Stream Velocity 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 Drag Coefficient?
In this formula, Drag Coefficient uses Convective Mass Transfer Coefficient, Schmidt Number & Free Stream Velocity. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Drag Coefficient = 0.644/(Reynolds Number^0.5)
  • Drag Coefficient = Friction Factor/4
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