Conservation laws for laminar axisymmetric jet flows with weak swirl. (English) Zbl 1248.35125
Summary: The conservation laws for laminar axisymmetric jet flows with weak swirl are studied here. The multiplier approach is used to derive the conservation laws for the system of three boundary layer equations for the velocity components governing flow in laminar axisymmetric jet flows with weak swirl. Conservation laws for the system of two partial differential equations for the stream function are also derived.
MSC:
| 35L65 | Hyperbolic conservation laws |
| 70H33 | Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics |
| 70S10 | Symmetries and conservation laws in mechanics of particles and systems |
| 35K05 | Heat equation |
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