What is the formula for calculating drag on spherical objects in laminar flow?

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Discussion Overview

The discussion revolves around the calculation of drag on spherical objects in laminar flow, specifically seeking the damping coefficient for water and its application in the context of drag force equations.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant seeks a source for the damping coefficient of water, specifically looking for values of 'b' in the drag force equation F=-b*v.
  • Another participant corrects the terminology, emphasizing that the term "drag" is more appropriate and provides a link to a Wikipedia page for reference.
  • A different participant suggests that the damping coefficient for water might be around 0.2 or 0.3, based on a known value for blood.
  • It is noted that the damping coefficient is not constant for a fluid and depends on various factors, including the Reynolds number, which is influenced by viscosity and the geometry of the object.
  • One participant acknowledges the complexity of the problem, particularly when considering the drag on a red blood cell.
  • A later reply introduces Stokes' formula for calculating drag on spherical objects in laminar flow, stating that it is applicable for Reynolds numbers less than 1.

Areas of Agreement / Disagreement

Participants express differing views on the value of the damping coefficient for water, and there is no consensus on a specific value. The complexity of determining drag in fluids is acknowledged, but no agreement is reached on a definitive approach or solution.

Contextual Notes

The discussion highlights the dependence of drag calculations on various factors, including fluid viscosity and object geometry, and the need for experimental determination in some cases. The applicability of Stokes' formula is noted to be limited to certain conditions (Reynolds numbers less than 1).

jadex
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Hi

I'm looking for a place were I can find the damping coefficient for water. Maybe someone has/can find/knows a good site/table/url?

thank you
 
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Sorry to bump an old topic, but I am interested in the same thing. I know the damping coefficient of blood is .7, so I would think that water is around .2 or .3. Does anybody know for sure?
 
The damping coefficient is not a constant for a particular fluid. Velocity is not the only variable to which drag force depends, but you can reduce the other factors to a constant by determining the Reynolds number (which itself is a function of viscosity, geometry of the object moving through the fluid, etc.) and a number of other factors. It can also be experimentally determined by actually moving the object through the fluid at different speeds and observing the relationship between speed and drag.
 
You're right, I should have done more research before asking. The problem is actually a bit more complex than I thought.

It can also be experimentally determined by actually moving the object through the fluid at different speeds and observing the relationship between speed and drag.
Not exactly the easiest thing in the world, since the object in question is a red blood cell. :P

Thanks a lot for answering.
 
For spherical objects and laminar flow the drag can be calculated from Stokes' formula:
drag=6*PI*n*R
where n is the viscosity of the fluid and R is the radius of the sphere.
It works for Reynolds numbers less than 1, I think.
 

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