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A two-dimensional flow field described by V = (2x²y + x)i+ (2xy² + y + 1)j where the velocity is in m/s when x and y are in meters. Determine the angular rotation of a fluid element located at x = 0.5 m, y = 1.0 m.

A two-dimensional flow field described by V = (2x²y + x)i+ (2xy² + y + 1)j where the velocity is in m/s when x and y are in meters. Determine the angular rotation of a fluid element located at x = 0.5 m, y = 1.0 m.

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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Exercise 2 V = (2x²y + x) + (2xy² + y+1)ĵ where the velocity is in m/s when x and y are in meters. Determine the angular rotation of a fluid element located at x = 0.5 m, y = 1.0 m. w=wx ³ + wyĴ +wz ñ A two-dimensional flow field described by u=2x²y+x ) x = 1/2 (0 =0) = 0 Wy = 2 (0 - 0) = 0 Wz = (2y²-2x²) at x = o-5m, y = lm. W = 1 = 0.25 = 3 x 4 Queen Mary University of London v = 2xy² + y + 1 Exercise 3 }=2w Determine the vorticity field for the following velocity vector: Wx= • ½ (aw W = Wx M wx = 1/2 (du wy=—/₂2 (2²) ay az ½/22 (av ax V = (x²-y)i - 2xyj twyf j+w₂ n :) == -(0-0)=. wz = 1 / 2₂2 3/N aw Əx au ду ) 14
Transcribed Image Text:Exercise 2 V = (2x²y + x) + (2xy² + y+1)ĵ where the velocity is in m/s when x and y are in meters. Determine the angular rotation of a fluid element located at x = 0.5 m, y = 1.0 m. w=wx ³ + wyĴ +wz ñ A two-dimensional flow field described by u=2x²y+x ) x = 1/2 (0 =0) = 0 Wy = 2 (0 - 0) = 0 Wz = (2y²-2x²) at x = o-5m, y = lm. W = 1 = 0.25 = 3 x 4 Queen Mary University of London v = 2xy² + y + 1 Exercise 3 }=2w Determine the vorticity field for the following velocity vector: Wx= • ½ (aw W = Wx M wx = 1/2 (du wy=—/₂2 (2²) ay az ½/22 (av ax V = (x²-y)i - 2xyj twyf j+w₂ n :) == -(0-0)=. wz = 1 / 2₂2 3/N aw Əx au ду ) 14
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