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Problem 8. It is reported in a publication that the stress tensor in a certain material has contributions to it over and above the
Problem 8. It is reported in a publication that the stress tensor in a certain material has contributions to it over and above the ordinary pressure and viscous terms. The additional stress is given by: T = EE - 1 E I (1) In (1), e is a physical property (similar to the viscosity coefficients) and the vector field E obeys the following equations: V.D=q, V E = 0 (2) Here, D = E is a vector field and q = q(x, t) is a scalar field where x is the position vector and t is time. Using Gibbs notation, evaluate V.T.
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