the purpose of this study is to identify parameters influence on the particle deposition within fin and tube heat exchanger of air-conditioning systems by cfd analysis. first the basic sketch of periodic geometry drawn and meshing operation including boundary conditions was performed. then the gas side properties and flow parameters were solved by ansys fluent 14.5 software. lagrangian equation...

Most researches on fluid dynamics are mostly dedicated to obtain the solutions of Navier-Stokes equation which governs fluid flow with particular boundary conditions and approximations. We propose an alternative approach to deal with fluid dynamics using the lagrangian. We attempt to develop a gauge invariant lagrangian which reconstructs the Navier-Stokes equation through the Euler-Lagrange eq...

We extend Hamilton–Jacobi theory to Lagrange–Dirac (or implicit Lagrangian) systems, a generalized formulation of Lagrangian mechanics that can incorporate degenerate Lagrangians as well as holonomic and nonholonomic constraints. We refer to the generalized Hamilton–Jacobi equation as the Dirac–Hamilton–Jacobi equation. For non-degenerate Lagrangian systems with nonholonomic constraints, the th...

A relativistic Navier-Stokes equation is constructed as the equation of motion of a gauge-invariant bosonic lagrangian. It is shown that the quantum-electrodynamic-like lagrangian is suitable for this purpose with a particular form of gauge field, A µ = φ, A ≡ −c 2 1 − | v| 2 /c 2 , − v. The equation of motion coincides with the classical Navier-Stokes equation at non-relativistic limit | v| ≪ c.

A relativistic Navier-Stokes equation is constructed as the equation of motion of a gauge-invariant bosonic lagrangian. It is shown that the quantum-electrodynamic-like lagrangian is suitable for this purpose with a particular form of gauge field, A µ = φ, A ≡ −c 2 1 − | v| 2 /c 2 , − v. The equation of motion coincides with the classical Navier-Stokes equation at non-relativistic limit | v| ≪ c.

It is shown that a Lagrangian exists for the nonrelativistic version of the Abraham{Lorentz{Dirac equation. The method used is an easy modiication of the procedure used by Levi Civita a century ago to construct a Lagrangian for the damped harmonic oscillator. It is then shown how a trivial adaptation of the method allows also to give a Lagrangian for the corresponding relativistic equation in t...