183_notes:drag

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
183_notes:drag [2021/02/04 23:36] – [Fluid Resistance] stumptyl183_notes:drag [2021/02/04 23:39] (current) – [Models of fluid resistance] stumptyl
Line 22: Line 22:
 === Laminar drag === === Laminar drag ===
  
-For a situation where the Reynolds number is low (e.g., a small, slow-moving object in a viscous fluid), the fluid resistance is proportional to the velocity of the object:+For a situation where the __Reynolds number is low__ (e.g., a small, slow-moving object in a viscous fluid), the fluid resistance is proportional to the velocity of the object:
  
 $$\vec{F}_{drag} = -b\vec{v}$$ $$\vec{F}_{drag} = -b\vec{v}$$
Line 30: Line 30:
 $$\vec{F}_{drag} = -6\pi\eta r \vec{v}$$ $$\vec{F}_{drag} = -6\pi\eta r \vec{v}$$
  
-where $\eta$ is the fluid viscosity.+where** $\eta$** is the **fluid viscosity**.
  
 +\\
  
 === Turbulent drag === === Turbulent drag ===
  
-For a situation where the Reynolds number is high (e.g., a large, fast-moving object in a less viscous fluid), the fluid resistance is proportional to the speed of the object squared:+For a situation where the __Reynolds number is high__ (e.g., a large, fast-moving object in a less viscous fluid), the fluid resistance is proportional to the speed of the object squared:
  
 $$\vec{F}_{drag} = -cv^2\hat{v}$$ $$\vec{F}_{drag} = -cv^2\hat{v}$$
Line 43: Line 44:
 $$\vec{F}_{drag} = -\dfrac{1}{2} \rho C_d A v^2 \hat{v}$$ $$\vec{F}_{drag} = -\dfrac{1}{2} \rho C_d A v^2 \hat{v}$$
  
-where $\rho$ is the density of the fluid, $A$ is the cross-sectional area of the object in the fluid, and $C_d$ is the drag coefficient of the object, which is often measured experimentally.+where $\rho$ is the// density of the fluid//, $A$ //is the cross-sectional area of the object in the fluid//, and $C_d$ //is the drag coefficient of the object, which is often measured experimentally//.
  
 +\\
 === What about "medium" Reynolds numbers flows? === === What about "medium" Reynolds numbers flows? ===
  
  • 183_notes/drag.1612481783.txt.gz
  • Last modified: 2021/02/04 23:36
  • by stumptyl