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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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7. A solid body rotates around the z-axis with angular velocity B. (i) Write expressions for the Cartesian components of the velocity vector, u & v. (ii) Given the velocity field, calcuate: (а) (b) (c) The vorticity vector The vorticity tensor The rate of deformation tensor Du The acceleration vector: a = Dt (d) Discuss these results. (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.
Transcribed Image Text:7. A solid body rotates around the z-axis with angular velocity B. (i) Write expressions for the Cartesian components of the velocity vector, u & v. (ii) Given the velocity field, calcuate: (а) (b) (c) The vorticity vector The vorticity tensor The rate of deformation tensor Du The acceleration vector: a = Dt (d) Discuss these results. (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.
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