Fluid Dynamics and Wall Shear Stress: Exploring Channel Heights
What factors are involved in determining the channel height that can generate a wall shear stress of 20 dynes/cm² with flow rates less than 2 ml/s?
Given the viscosity of the tissue culture liquid medium is 0.0087 g/cm-s and the channel width is 2cm, how can we calculate the specific channel height for this scenario?
Answer:
The channel height is 0.0510 cm.
The channel height that would yield a wall shear stress as high as 20 dynes/cm² with flow rates less than 2 ml/s can be calculated using the formula τ = ηQ/(b*h), where τ represents the shear stress, η is the viscosity, Q is the flow rate, b is the width of the channel, and h is the channel height. By rearranging the formula and substituting the given values, we can determine that the channel height would be approximately 0.0510 cm.