The r-component of the viscous stress tensor in cylindrical coordinates is tru 5 tur 5

Chapter 9, Problem 9-85

(choose chapter or problem)

The r-component of the viscous stress tensor in cylindrical coordinates is tru 5 tur 5 mcr 0 0r a uu r b 1 1 r 0ur 0u d (1) Some authors write this component instead as tru 5 tur 5 mc 1 r a 0ur 0u 2 uub 1 0uu 0r d (2) Are these the same? In other words is Eq. 2 equivalent to Eq. 1, or do these other authors define their viscous stress tensor differently? Show all your work.

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