Home
Back
Formula Used:
| From: | To: |
Reynold Number given Coefficient of Drag is a dimensionless quantity that describes the flow characteristics of a fluid within a pipe or over a surface. It relates the drag coefficient to the Reynolds number through the formula R_cd = 24/C_D.
The calculator uses the formula:
Where:
Explanation: This formula provides a direct relationship between the drag coefficient and the corresponding Reynolds number for certain flow conditions.
Details: The Reynolds number is crucial for characterizing fluid flow patterns and determining whether the flow is laminar or turbulent. This relationship with drag coefficient helps in analyzing fluid resistance and designing efficient fluid systems.
Tips: Enter the coefficient of drag value. The value must be greater than zero to produce a valid result.
Q1: What is the physical significance of this formula?
A: This formula represents the relationship between drag coefficient and Reynolds number for Stokes flow conditions, where inertial forces are negligible compared to viscous forces.
Q2: What are typical values for drag coefficient?
A: Drag coefficient values vary widely depending on the object shape and flow conditions, ranging from about 0.001 for streamlined bodies to over 2.0 for bluff bodies.
Q3: When is this formula applicable?
A: This specific formula R_cd = 24/C_D is particularly applicable for spherical particles in creeping flow (low Reynolds number conditions).
Q4: Are there limitations to this equation?
A: Yes, this relationship is specifically valid for Stokes flow conditions (Re < 1) and may not accurately represent drag behavior at higher Reynolds numbers where flow becomes transitional or turbulent.
Q5: How is this used in engineering applications?
A: This relationship is used in particle dynamics, sedimentation studies, and the design of filtration systems where understanding the drag forces on small particles is crucial.