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Homework 2 2008

CM4650 Polymer Rheology

    Due Wednesday February 6, 2008 in class

    NOTE:  The errata page for your text is on the web at this link.

    1. (10 points) Text  2.19 (prove tensor transpose identity using Einstein notation)
    2. (10 points) Text  2.23 (calculate the magnitude of a tensor)
    3. (10 points) Text  2.29 (prove vector identity involving del)
    4. (10 points)  Text 2.34 (simplify I :del v)
    5. (10 points) Text 3.11 (plot Poiseuille solution; calculate flow rate)
    6. (20 points) Text 3.15 (Upward Poiseuille flow of a Newtonian fluid in a slit)
    7. (30 points) Text 3.18 (Tangential annular flow of a Newtonian fluid).  This is a long problem.  You may skip calcuating the pressure profile,  but please do calculate the torque.  You may want to discuss this calculation with me ahead of time.