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Consider a viscous film of liquid draining uniformly down the side of a vertical rod of radius a, as shown in the diagram below. At some distance down the rod the film will approach a terminal or fully developed draining flow of constant outer radius b, with Uz = Uz(r), Ue = Ur = 0. Assume that the atmosphere offers no shear resistance to the film motion. Pa Ha =0 Fully developed region Film

Consider a viscous film of liquid draining uniformly down the side of a vertical rod of radius a, as shown in the diagram below. At some distance down the rod the film will approach a terminal or fully developed draining flow of constant outer radius b, with Uz = Uz(r), Ue = Ur = 0. Assume that the atmosphere offers no shear resistance to the film motion. Pa Ha =0 Fully developed region Film

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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Required information Consider a viscous film of liquid draining uniformly down the side of a vertical rod of radius a, as shown in the diagram below. At some distance down the rod the film will approach a terminal or fully developed draining flow of constant outer radius b, with Uz = Uz(r), ue = Ur = 0. Assume that the atmosphere offers no shear resistance to the film motion. Pa Ha=0 Fully developed region Film Vz
Transcribed Image Text:Required information Consider a viscous film of liquid draining uniformly down the side of a vertical rod of radius a, as shown in the diagram below. At some distance down the rod the film will approach a terminal or fully developed draining flow of constant outer radius b, with Uz = Uz(r), ue = Ur = 0. Assume that the atmosphere offers no shear resistance to the film motion. Pa Ha=0 Fully developed region Film Vz
Identify the proper boundary conditions that are used for determining a differential equation for uz. (Check all that apply.) Check All That Apply u(a) = 0 (b) = 0 u(0) = U µ(h) = 0
Transcribed Image Text:Identify the proper boundary conditions that are used for determining a differential equation for uz. (Check all that apply.) Check All That Apply u(a) = 0 (b) = 0 u(0) = U µ(h) = 0
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