A number of different types of flow chambers have been designed to study adhesion between cells...
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A number of different types of flow chambers have been designed to study adhesion between cells in vitro. One important design feature is the ability to have a range of shear stresses. This ability allows a wide range of data to be collected in a single experiment, reducing experimental variability. One such device is a radial-flow channel, shown in below. In this device, fluid flows from a source in a radial direction and the volumetric flow rate at any radial position r is Q. The flow itself is driven by an unspecified pressure gradient. Solve for the velocity profile (vr). Use your solution and the constant flow rate condition to show that the wall shear stress at y=-h/2is -3uQ/(pir^2h) (Hint: Use the momentum balance applied on a differential volume element, 2nArAy). (a) Vr y = h/2 y = -h/2 y v,(y) A number of different types of flow chambers have been designed to study adhesion between cells in vitro. One important design feature is the ability to have a range of shear stresses. This ability allows a wide range of data to be collected in a single experiment, reducing experimental variability. One such device is a radial-flow channel, shown in below. In this device, fluid flows from a source in a radial direction and the volumetric flow rate at any radial position r is Q. The flow itself is driven by an unspecified pressure gradient. Solve for the velocity profile (vr). Use your solution and the constant flow rate condition to show that the wall shear stress at y=-h/2is -3uQ/(pir^2h) (Hint: Use the momentum balance applied on a differential volume element, 2nArAy). (a) Vr y = h/2 y = -h/2 y v,(y)
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To solve for the wall shear stress w w in a radial flow chamber we can consider the momentum balance and the continuity equation In this case we start ... View the full answer
Related Book For
Managerial accounting
ISBN: 978-0471467854
1st edition
Authors: ramji balakrishnan, k. s i varamakrishnan, Geoffrey b. sprin
Posted Date:
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