Applications of Fluid Dynamics Based on Gauge Field Theory Approach
Ketut Eko Ari Saputro · 2005
Recently, a new approach to deal with the Navier-Stokes equation has been developed. The equation which governs the fluid dynamics is a a non-linear one and then generally unsolvable. In the new approach, the fluid dynamics is described using the relativistic gauge invariant bosonic lagrangian which could reproduce the Navier-Stokes equation as its equation of motion through the Euler-Lagrange principle. Based on the lagrangian we model the fluid dynamics phenomenon as scattering of either three or four fluid bunches represented by the gauge field Aμ = (φ, ~ A) ≡ ( d 2 |~v| − V,−d~v ) with ~v is velocity and d is a parameter to adjust the dimension for any potential V . Further we present all relevant Fynman rules and diagrams, and also provide complete calculations for all vertices induced by three and four fluid fields interactions. References: 38 (1985-2003)