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Example Problem - Flow between parallel plates (a cell-culture flow chamber?) Consider a steady viscous flow between two stationary plates separated by a height H, and with ar ӘР applied pressure gradient, = A. Assume that the plates have a width b. Əx Neglect the effect of gravity. a) b) c) ди Assume fully developed flow, i.e. the velocity profile is independent of x ( əx Assume incompressibility. Determine the velocity profile in the system. y=+H/₂ ////// ди b) Determine the shear stress t = μ on the bottom wall as a function of Q. Əy 2) Complete the Couette Flow problem at the end of notes 14, = 0) // 1) Using the example problem from Notes 14: a) Derive a formula for the flow rate Q for a channel of height H, width W, length L and a pressure difference AP U=O

Example Problem - Flow between parallel plates (a cell-culture flow chamber?) Consider a steady viscous flow between two stationary plates separated by a height H, and with ar ӘР applied pressure gradient, = A. Assume that the plates have a width b. Əx Neglect the effect of gravity. a) b) c) ди Assume fully developed flow, i.e. the velocity profile is independent of x ( əx Assume incompressibility. Determine the velocity profile in the system. y=+H/₂ ////// ди b) Determine the shear stress t = μ on the bottom wall as a function of Q. Əy 2) Complete the Couette Flow problem at the end of notes 14, = 0) // 1) Using the example problem from Notes 14: a) Derive a formula for the flow rate Q for a channel of height H, width W, length L and a pressure difference AP U=O

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Example Problem - Flow between parallel plates (a cell-culture flow chamber?) Consider a steady viscous flow between two stationary plates separated by a height H, and with ar ӘР applied pressure gradient, -= A. Assume that the plates have a width b. əx Neglect the effect of gravity. a) b) ди Assume fully developed flow, i.e. the velocity profile is independent of x ( Əx Assume incompressibility. Determine the velocity profile in the system. y=+H/₂2 // du b) Determine the shear stress T = μ on the bottom wall as a function of Q. ду 2) Complete the Couette Flow problem at the end of notes 14, = 0) 1) Using the example problem from Notes 14: a) Derive a formula for the flow rate Q for a channel of height H, width W, length L and a pressure difference AP =
Transcribed Image Text:Example Problem - Flow between parallel plates (a cell-culture flow chamber?) Consider a steady viscous flow between two stationary plates separated by a height H, and with ar ӘР applied pressure gradient, -= A. Assume that the plates have a width b. əx Neglect the effect of gravity. a) b) ди Assume fully developed flow, i.e. the velocity profile is independent of x ( Əx Assume incompressibility. Determine the velocity profile in the system. y=+H/₂2 // du b) Determine the shear stress T = μ on the bottom wall as a function of Q. ду 2) Complete the Couette Flow problem at the end of notes 14, = 0) 1) Using the example problem from Notes 14: a) Derive a formula for the flow rate Q for a channel of height H, width W, length L and a pressure difference AP =
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