Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN: 9781259696527
Author: J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher: McGraw-Hill Education
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Question

Please solve part (a) and (b)

B fluied iufinite volume of fluid armuud the cyliuder R de care fal : these often in Plauy with ere b.2s xt r-),lich O caiv cylindri'cal coordinates
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Transcribed Image Text:B fluied iufinite volume of fluid armuud the cyliuder R de care fal : these often in Plauy with ere b.2s xt r-),lich O caiv cylindri'cal coordinates
B. Figure B shows a horizontal cross section of a long vertical cylinder of radius R that is rotated steadily counterclockwise with an angular velocity o in a very large volume of a Newtonian liquid of viscosity u and density p. The liquid extends effectively to infinity, where it may be considered at rest. The axis of the cylinder coincides with the z axis of a cylindrical coordinate system. This is a laminar, steady state flow without gravity effects. (a) Identify which velocity components of a cylindrical coordinate system are zero for this flow. (b) Formulate the continuity equation for this flow, compute the result and comment on the result of your analysis. (c) Formulate the momentum equation for this flow in the axial direction, explain which terms cancel, give the result of your analysis and express what you learn from this result.
expand button
Transcribed Image Text:B. Figure B shows a horizontal cross section of a long vertical cylinder of radius R that is rotated steadily counterclockwise with an angular velocity o in a very large volume of a Newtonian liquid of viscosity u and density p. The liquid extends effectively to infinity, where it may be considered at rest. The axis of the cylinder coincides with the z axis of a cylindrical coordinate system. This is a laminar, steady state flow without gravity effects. (a) Identify which velocity components of a cylindrical coordinate system are zero for this flow. (b) Formulate the continuity equation for this flow, compute the result and comment on the result of your analysis. (c) Formulate the momentum equation for this flow in the axial direction, explain which terms cancel, give the result of your analysis and express what you learn from this result.
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