In this study, heat transfer and aerosol deposition in the under-floor and baseboard heating systems have been investigated, numerically. The aim of this study is a comparison between these heating systems. This comparison obtains the optimal heating system with low suspended particles in the air. Computational fluid dynamic with Eulerian-Lagrangian method has been used to simulate fluid and pa...

The approximate conservation of CP can be naturally understood if it arises as an automatic symmetry of the renormalizable Lagrangian. We present a specific realistic example with this feature. In this example, the global Peccei-Quinn symmetry and gauge symmetries of the model make the renormalizable Lagrangian CP invariant but allow non zero hierarchical masses and mixing among the three gener...

The DBI and special galileon theories exhibit a conformal symmetry at unphysical values of the spacetime dimension. We find Lagrangian form this symmetry. transformations are non-linearly realized on fields, even though is unbroken. Commuting with extended shift symmetries, we new which when taken together symmetries close into larger algebra. For algebra higher dimensional bulk in brane embedd...

Unfortunately, the Hamiltonian mechanics of degenerate Lagrangian systems is usually presented as a mere recipe Dirac, with no explanation to how it works. It then comes discussing conjectures whether all primary constraints correspond gauge symmetries, and goes way absolutely wrong claims such statement that electrodynamics or gravity only have two physical components each, others being spurio...

Properties of Hamiltonian symmetry flows on hyperbolic Euler-type equations are analyzed. Their Lagrangian densities are demonstrated to supply the Hamiltonian operators for subalgebras of their Noether symmetries, while substitutions between Euler-type equations define Miura transformations between the symmetry flows; some Miura maps for Liouvillean Euler-type systems are supplied by their int...