The rate of shear deformation $\epsilon$​​​​​​​yz at the point x = –2, y=–1 and z=2 for the given flow is:

Question

A Newtonian fluid has the following velocity field:

$\vec{V}=x^{2}y\hat{i}+2xy^{2}z\hat{j}-yz^{3}\hat{k}$

The rate of shear deformation $\epsilon$_yz at the point x = –2, y=–1 and z=2 for the given flow is:                                                            

      (a) –6                                                                  (b) –2

      (c) –12                                                                (d) 4