A theoretical analysis is developed to investigate the effects of gas expansion due heat release on unsteady diffusion flames evolving in a pipe flow which mixing reactants controlled by Taylor's dispersion processes thereby extending previously theory based thermo-diffusive model. It first shown that at times larger than radial times, pressure gradient induced is, approximation, small comparis...

In this paper, we present an efficient method for determining the solution of the stochastic second kind Volterra integral equations (SVIE) by using the Taylor expansion method. This method transforms the SVIE to a linear stochastic ordinary differential equation which needs specified boundary conditions. For determining boundary conditions, we use the integration technique. This technique give...