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-by bx u = v= 2 2 x² + y² x+y which also has circular streamlines. (i) Calculate the vorticity vector for this flow. (ii) Calculate the circulation around the same path described in 7(iii), by performing a line integration. In light of Stokes' theorem, there may be an apparent contradiction between your results in parts (i) and (ii). Can you think of how this contradiction might be resolved?

-by bx u = v= 2 2 x² + y² x+y which also has circular streamlines. (i) Calculate the vorticity vector for this flow. (ii) Calculate the circulation around the same path described in 7(iii), by performing a line integration. In light of Stokes' theorem, there may be an apparent contradiction between your results in parts (i) and (ii). Can you think of how this contradiction might be resolved?

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:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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I want to ask the (2) question in 8. Thank you!

(iii)Calculate the cirçulation of this velocity field around the path illustrated here: (1, 1) X (-1, -1) Do this both by the appropriate line integration, and through application of Stokes' theorem. 8. Now consider the steady velocity profile: by bx u = V = x +y- x* + y which also has circular streamlines. (i) Calculate the vorticity vector for this flow. (ii) Calculate the circulation around the same path described in 7(iii), by performing a line integration. In light of Stokes' theorem, there may be an apparent contradiction between your results in parts (i) and (ii). Can you think of how this contradiction might be resolved?
Transcribed Image Text:(iii)Calculate the cirçulation of this velocity field around the path illustrated here: (1, 1) X (-1, -1) Do this both by the appropriate line integration, and through application of Stokes' theorem. 8. Now consider the steady velocity profile: by bx u = V = x +y- x* + y which also has circular streamlines. (i) Calculate the vorticity vector for this flow. (ii) Calculate the circulation around the same path described in 7(iii), by performing a line integration. In light of Stokes' theorem, there may be an apparent contradiction between your results in parts (i) and (ii). Can you think of how this contradiction might be resolved?
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