View source for Team:SUSTech Shenzhen/Model/Calibration

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= Calibration of fluid flow velocity =

To visualize the flow profile, rainbow beads (diameter:) were dissolved in the cell culture medium, which contained the dead cells. A series of pump speeds(5ul/min, 15ul/min, and 45ul/min) were applied to generate a steady fluid flow. The exposure time was set to 100ms so that the length of the streakline (shown as a gray line in picture) represented the total traveling distance of the beads during the exposure. Fig. 1 shows a typical image of a bead trace in the fast microfluidics channel with a pump speed of 5ul/min. To minimize hydraulic effects of the PDMS walls, the pictures were taken from the midplane of the channel providing the maximum flow velocity. Note that the traveling direction of the beads was left. Each streak was measured separately, and the average length of all streaks in one particular channel divides the exposure time was regarded as the fluid flow velocity of this channel.  <ref>Maneshi MM, Sachs F, Hua SZ, ''A Threshold Shear Force for Calcium Influx in an Astrocyte Model of Traumatic Brain Injury.''J Neurotrauma. 2015 Jul 1, '''32'''(13) : p. 1020-9. </ref>

{{SUSTech_Image | filename=T--SUSTech_Shenzhen--DB56D45F-D056-4A82-897A-2CE77C2C4A12.png | caption=Fig. 1: a typical image of a bead trace in the fast microfluidics channel with a pump speed of 5ul/min. | width=1000px}}
== Experiment ==
To minimize the error, we took pictures on fast microfluidics channel when pump speed was 5ul/min; on mid microfluidics channel when pump speed was 15ul/min; on slow microfluidics channel when pump speed was 45ul/min, considering that fluid flow velocity is directly proportional to pump speed.

Data collection blow:
{| class="table table-striped"
! channel !! speed(ul/min) !! length①(um) !! length②(um) !! length③(um) 
|-
| fast || 5 || 630 || 455 || 610
|-
| mid || 15 || 180 || 160 || 180
|-
| slow || 45 || 48 || 75 || 80 
|}
== Result ==
We wrote a MatLab program to calculate the fluid flow velocities and converted the result under the pump speed of 45ul/min. Codes were shown below:
<html><div class="bs-callout bs-callout-info">
<h4>MatLab Code:</h4>
<p>
ex_fast=[630,455,610]*90;   
</p><p>
% align the data to um/s by multiply 10 and convert to 45ul/min
</p><p>
ex_mid=[180,160,180]*30;
</p><p>
ex_slow=[48,75,80]*10;
</p><p>
ex_fast_mean=mean(ex_fast); ex_fast_std=std(ex_fast);
</p><p>
ex_mid_mean=mean(ex_mid); ex_mid_std=std(ex_mid);
</p><p>
ex_slow_mean=mean(ex_slow); ex_slow_std=std(ex_slow);
</p>
</div>
</html>
Note: ex_fast_mean is the mean value of fluid flow velocity of fast microfluidics channel when pump speed is 45ul/min, ex_fast_std is its standard deviation, et cetera.

{| class="table table-striped"
! variable !! mean(ul/min) !! variable !! std(ul/min)
|-
| ex_fast_mean || 50850 || ex_fast_std || 8620.8
|-
| ex_mid_mean || 5200 || ex_mid_std || 346.4102
|-
| ex_slow_mean || 676.67 || ex_slow_std || 172.14
|}

It shows that the velocity rate of 3 channels is 13:100:978.

{{SUSTech_Image | filename=T--SUSTech_Shenzhen--855C7E02-2E51-441A-9492-A2B281185010.png | caption=Fig. 2: the graph of fluid flow velocities results under the pump speed of 45ul/min. | width=1000px}}

= Reference =

<references/>

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