V=10x3i^−8x3yj^Gradient of velocity which is a second rank tensor is
LT=∇V=⎣⎡dxdVxdxdVydydVxdydVy⎦⎤
LT=[30x2−24x2y0−8x3] Taking Its transpose
L=[30x20−24x2y−8x3] Now strain rate tensor:
E=2L+LTE=21[60x2−24x2y−24x2y−16x3]
where, off-diagonal terms represent shear strain rate.
Now Spin Tensor:
W=2L−LTW=21[024x2y−24x2y0] Since off-diagonal term in spin tensor are non zero hence flow is rotational.
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