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    Calculating Rates of Strain, Vorticity and Dilation of Flows

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    Calculate the rates of strain, vorticity, and rates of dilatation for 3 flows.

    a) u=cx, v=cy, w=-2cz

    b) u=c, v=w=0

    c) u=2cy, v=w=0

    © BrainMass Inc. brainmass.com October 9, 2019, 3:24 pm ad1c9bdddf
    https://brainmass.com/engineering/manufacturing-engineering/calculating-rates-strain-vorticity-dilation-flows-3475

    Solution Preview

    a)
    S11 = du/dx = c
    S22 = dv/dy = c
    S33 = dw/dz = -2c
    S12 = 1/2(du/dy + dv/dx) = 0
    S13 = 1/2(du/dz + dw/dx) = 0
    S23 = 1/2(dv/dz + dw/dy) = 0
    Omega1 = dw/dy - dv/dz = 0
    Omega2 = du/dz - dw/dx = ...

    Solution Summary

    The answer includes several finished equations for each part of the question.

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