tâ Ïâ tâ Ïâ = Ï dt d
tâ Ïâ tâ Ïâ = Ï dt d
tâ Ïâ tâ Ïâ = Ï dt d
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D. Keffer - ChE 240: Heat Transfer and Fluid Flow( )D vρDtz⎛⎜∂= µ⎝ ∂ x2v z2+∂2v z2∂ y+∂2v z2∂ z⎞⎟−⎠∂ p+∂ zρgzand the three equations can be expressed in vector notation asρ( v)D 2Dt= µ∇v −∇p+ρg2. Equations of change for incompressible Newtonian fluids in cylindrical coordinatesSee Geankoplis page 174, eqns (3.7-40 to 3.7-42)3. Equations of change for incompressible Newtonian fluids in spherical coordinatesSee Geankoplis page 174-175, eqns (3.7-43 to 3.7-46)3-12