Consider the continuity, and momentum (Euler) equations in the absence of body forces: др ² + · (pv) = ( V. 0 Ət VP P DV Dt (a) Expand the continuity and all three components of Euler's equation in cylindrical coordinates making no simplifications. др a Ət Ər (b) Axisymmetric flow is a specific case of flow in cylindrical coordinates in which there is no velocity component in the circumferential direction (ua = 0) and for which circumferential symmetry exists (0/00 = 0). Demonstrate that for axisymmetric flow, the continuity and momentum equations (in the absence of body forces) simplify to: -(pur) + = 0 + Ur Ә — (puz) + ! 0 pur T əz dur 10P + 0 dur du, +21= 82 Ət ər por du₂ duz du₂ 10P +U₂ Ət Ər əz рдz + U₂' + 0

Consider the continuity, and momentum (Euler) equations in the absence of body forces: др ² + · (pv) = ( V. 0 Ət VP P DV Dt (a) Expand the continuity and all three components of Euler's equation in cylindrical coordinates making no simplifications. др a Ət Ər (b) Axisymmetric flow is a specific case of flow in cylindrical coordinates in which there is no velocity component in the circumferential direction (ua = 0) and for which circumferential symmetry exists (0/00 = 0). Demonstrate that for axisymmetric flow, the continuity and momentum equations (in the absence of body forces) simplify to: -(pur) + = 0 + Ur Ә — (puz) + ! 0 pur T əz dur 10P + 0 dur du, +21= 82 Ət ər por du₂ duz du₂ 10P +U₂ Ət Ər əz рдz + U₂' + 0