...
Please watch the following videos for a demonstration of steps for Physics Setup in Fluent:
...
Physics Setup Part 1:
Before watching this tutorial video, please download the injection file: injection_onlyatshear400.inj
HTML |
---|
<iframe width="420" height="315" src="//www.youtube.com/embed/SCBzy9t2atQ" frameborder="0" allowfullscreen></iframe> |
...
As we have discussed in the Pre-analysis and Setup section, Stokes Number is the ratio of particle of particle response time to the flow characteristic time scale. Here, in the case of low Reynolds Number flow, particles response time is calculated using this formula:
Latex |
---|
Wiki Markup |
{latex} \large{ $$\tau_p = \frac{\rho D^2}{18 \mu}$$ } {latex} |
Here, we will use the inverse of the instability growth rate as the flow characteristic time scale:
Latex |
---|
Wiki Markup |
{latex} \large{ $$\tau_f = \frac{1}{\gamma} = \frac{1}{0.1751 s^{-1}}$$ } {latex} |
Thus combining the two equations above, we get:
Latex |
---|
Wiki Markup |
{latex} \large{ \begin{align*} &St = \frac{\tau_p}{\tau_f} = \tau_p \gamma = \frac{\rho D^2}{18 \mu } \gamma \\ &\Rightarrow \rho = \frac{18 \mu \cdot St}{D^2 \gamma} \end{align*} } {latex} |
Go to Step 5: Numerical Solution
...