Nonlinear model equation for weakly turbulent premixed flames with realistic fuel expansion is proposed. The equation describes both the hydrodynamic flame instability and flame response to external turbulence in the regime of flamelets. On the basis of the proposed equation the velocity of turbulent flames is investigated for the cases of both weak and relatively strong turbulence. Comparison ...

Nuclear magnetic resonance (NMR) is a physical phenomenon widely used to study complex materials. NMR is governed by the Bloch equation, a first order non-linear differential equation. Fractional order generalization of the Bloch equation provides an opportunity to extend its use to describe a wider range of experimental situations. Here we present a fractional generalization of the Bloch equat...

In this paper we present analytical breather solutions of the three-dimensional nonlinear generalized Gross-Pitaevskii equation. We use an Ansatz to reduce the three-dimensional equation with space- and time-dependent coefficients into a one-dimensional equation with constant coefficients. The key point is to show that both the space- and time-dependent coefficients of the nonlinear equation ca...

asphaltene instability is one of the major problems in gas injection projects throughout the world. numerous models have been developed to predict asphaltene precipitation; the scaling equation is an attractive tool because of its simplicity and not involving complex properties of asphaltene. in this work, a new scaling model is presented to account  for asphaltene precipitation due to gas inje...

in this paper, the dynamic simulation for a high pressure regulator is performed to obtain the regulator behavior. to analyze the regulator performance, the equation of motion for inner parts, the continuity equation for diverse chambers and the equation for mass flow rate were derived. because of nonlinearity and coupling, these equations are solved using numerical methods and the results are ...

Analytical and numerical solution of Navier Stokes equation coupled with Maxwell’s equation have been proposed with its experimental prototype model. The MHD system based on two and three dimensional processes were formulated and simulated using MATLAB with iterative approach. Experimental results were obtained by the developed prototype model. Non Linearity issues i.e. turbulence in fluid flow...

By considering the entrainment properties of the turbulent boundary layer, a new and simple form of auxiliary equation has been derived for the calculation of the form parameter H. Comparison with experimental results shows very fair agreement and it should be possible to apply the method in circumstances where normal forms of the auxiliary equation would fail. Further experiment or analysis of...