A unified model for fuel spray penetration

This paper proposes a new unified (single) model that considers 3 flow regimes (viz: Stokes, Allen and Newton) in the initial stage of fuel spray penetration. An analytical result which takes into account of the flow regimes is derived via variational iteration method (VIM) of the unified model that marries 2 special limiting cases of the velocity of the gas (air) stream. The new results for fuel spray penetration under the limiting cases are the same when compared with previously obtained expressions via successive approximations in the available literature. Therefore, it has been shown that the VIM is very much easy, reliable and compatible with the nonlinear nature of the physical problem. Also, important features of the problem are discussed.