4. Respiratory Mucus Transport. A large airway is lined with a mucus layer of thickness h, which lies above a periciliary fluid layer. Beating cilia maintain the velocity at the top of the periciliary layer at vo, directed at an angle from the horizontal toward the mouth. Assume airway mucus can be modeled as Newtonian fluid. Neglect the curvature of vessel and assume rectangular geometry with layer width w and length L. Free Surface h Mucus layer Periciliary layer (a) Use the microscopic approach to determine the velocity profile in the mucus layer, the velocity at the luminal surface of the mucus layer, and the flow rate of mucus in the airway. Neglect pressure gradients in the airway and the shear stress exerted by the air on the mucus surface. (b) Derive an equation for the maximum mucus layer thickness that ensures that the velocity in all portions of the mucus layer is directed in the positive x direction. 5. A blood oxygenator consists of several gas permeable rectangular plates having length L and width W. A thin film of blood with uniform thickness h flows at a constant rate vertically down the wall of each plate. The film surface is exposed to air at atmospheric pressure. L (a) Use an x-momentum balance to find the distribution of shear stress in the film. (b) Find the shear stress tw exerted by the blood on the oxygenator wall. 6. Newtonian fluid with viscosity μ flows upward at a steady state between two parallel h wall fluid y

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Just question 4 and 5 please. Help and explain how to solve and why thank you!

Transcribed Image Text:4. Respiratory Mucus Transport. A large airway is lined with a mucus layer of thickness h, which lies above a periciliary fluid layer. Beating cilia maintain the velocity at the top of the periciliary layer at vo, directed at an angle from the horizontal toward the mouth. Assume airway mucus can be modeled as Newtonian fluid. Neglect the curvature of vessel and assume rectangular geometry with layer width w and length L. Free Surface h Mucus layer Periciliary layer (a) Use the microscopic approach to determine the velocity profile in the mucus layer, the velocity at the luminal surface of the mucus layer, and the flow rate of mucus in the airway. Neglect pressure gradients in the airway and the shear stress exerted by the air on the mucus surface. (b) Derive an equation for the maximum mucus layer thickness that ensures that the velocity in all portions of the mucus layer is directed in the positive x direction. 5. A blood oxygenator consists of several gas permeable rectangular plates having length L and width W. A thin film of blood with uniform thickness h flows at a constant rate vertically down the wall of each plate. The film surface is exposed to air at atmospheric pressure. L (a) Use an x-momentum balance to find the distribution of shear stress in the film. (b) Find the shear stress tw exerted by the blood on the oxygenator wall. 6. Newtonian fluid with viscosity μ flows upward at a steady state between two parallel h wall fluid y

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