Viscous Dissipation in spherical polar coordinates

Spherical Polar Coordinates ( r, θφ , )⎡22⎛∂ur ⎞ ⎛1∂uur 1 uθ ⎞ ⎛ ∂φ uruθ⎞Φv= 2⎢⎜ ⎟ + ⎜ + ⎟ + ⎜ + + cotθ⎟⎢⎝ ∂r ⎠ ⎝r ∂θ r ⎠ ⎝rsinθ ∂φr r⎣⎠⎡ 1 ∂uur∂ ⎛ φ ⎞⎤2+ ⎢ + r ⎜ ⎟⎥− ∇•⎣rsinθ∂φ∂r⎝ r ⎠⎦32⎡ ∂ ⎛u1rsin uθ ⎞ ∂u⎤ ⎡ θ ∂ ⎛ φ ⎞ 1 ∂u⎤θ+ ⎢r ⎜ ⎟+ r r r θ⎥ + ⎢ ⎜ ⎟+⎥⎣ ∂ ⎝ ⎠ ∂ ⎦ ⎣ r ∂θ ⎝sinθ ⎠ r sinθ∂φ⎦2( u)222⎤⎥⎥⎦2