Question

A parallel plate flow chamber is being designed to study the adhesion of leukocytes to endothelium. The channel width is 2cm; the viscosity of the tissue culture liquid medium is 0.0087 g/cm-s. Determine channel heights that can be used to generate wall shear stresses (i.e., ) as high as 20 dynes/cm^2 with flow rates less than 2 ml/s.

Answer 1

Answer:

The channel height is 0.0510 cm.

Explanation:

Given that,

Width w= 2 cm

Dynamic viscosity $\mu= 0.0087\ g/cm-s$

Discharge flow rate Q= 2 ml/s

Shear stress $\tau= 20\ dynes/cm²$

We need to calculate the channel heights

Using formula of maximum shear stress

$\tau=\dfrca{6Q\mu}{H^2w}$

$H=\sqrt{\dfrac{6Q\mu}{\tau w}}$

Put the value into the formula

$H=\sqrt{\dfrac{6\times2\times0.0087}{20\times2}}$

$H=0.0510\ cm$

Hence, The channel height is 0.0510 cm.