When leukocytes adhere to the endothelium of a blood vessel, they undergo an interesting rolling motion. This
Question:
rolling along the wall at a rotational velocity of 0.05 revolutions/s0.314 rad/s. Thedensity of blood is p= 1.05 g/cm³ and its viscosity is = 0.04 g/cm.s.
a) Derive a set of dimensionless variables for relating the angular velocity of rolling to the othervariables.
b) We have available microspheres of radius 20 μm, each of which will adhere to ta plastic substratewith a force F 106 dynes. We also have available a fluid with exactly the same density and viscosity of blood. We plan to run a series of experiments in a plastic tube of radius Rm to determine how the rolling rate of the microsphere varies with the flow rate (Qm). Determine whatconstraints, if any, need to be put on these experimental variables.
c) In the model experiment, we find that, for the range of flow rates investigated, varies linearly with
Determine the force (F) that makes the leukocyte adhere to the vessel wall.
Smith and Roberson Business Law
ISBN: 978-0538473637
15th Edition
Authors: Richard A. Mann, Barry S. Roberts