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1 Faculty of Engineering Department of Mechanical Engineering MCG3143: Biofluid mechanics Lectures notes Summer 2015 Marianne French 2 3 CHAPTER1.........................................................................................................................................................5
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01
Begin by gathering the necessary data for the calculation, including the diameter of the sphere (D) and the fluid viscosity (μ).
02
Calculate the Reynolds number (Re) using the formula Re = (ρ * V * D) / μ, where ρ represents the fluid density and V is the velocity of the fluid.
03
Determine if the Reynolds number (Re) is less than or equal to 1. If Re ≤ 1, then the flow is in Stokes flow regime, and the drag coefficient can be directly determined using the formula Cd = 24 / Re.
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Plug the calculated Reynolds number (Re) into the drag coefficient formula Cd = 24 / Re to find the drag coefficient for the sphere in Stokes flow.
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The obtained drag coefficient represents the resistance experienced by the sphere in the fluid at Reynolds number 1.

Who needs 3dragcoefficientforasphereinstokesflow re 1:

01
Engineers and researchers studying fluid dynamics and particle behavior in low Reynolds number flows may need to calculate the drag coefficient for a sphere in Stokes flow at Reynolds number 1.
02
Individuals involved in the design and analysis of microfluidic systems, such as lab-on-a-chip devices, which often operate in the Stokes flow regime, may require this information.
03
Students and academics studying fluid mechanics and hydrodynamics may come across this topic as part of their coursework or research.
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The drag coefficient for a sphere in Stokes flow is typically around 24/Re, where Re is the Reynolds number.
Researchers or engineers working on fluid dynamics problems may be required to calculate and report the drag coefficient for a sphere in Stokes flow.
To calculate the drag coefficient for a sphere in Stokes flow, one needs to determine the Reynolds number first, and then use the formula 24/Re.
The purpose of calculating the drag coefficient for a sphere in Stokes flow is to understand the drag force acting on the sphere in a low Reynolds number flow regime.
The report should include the calculated drag coefficient value, the method used for calculation, and any assumptions made in the process.
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