The objective of the book based on the thesis is to establish network simulation model for the transient free convective heat and mass transfer effects in vertical cone under various boundary conditions. Spatial discretization is applied to the transient boundary layer equations to get a set of ordinary differential equations are obtained, one for each control volume. The numerical solution of non-linear system of partial differential equations is obtained by implementing Network simulation method (NSM) which is based on thermo-electric analogy. Numerical values are presented for velocity, temperature, concentration, local and average wall shear stress, and local and average Nusselt number for various parameters. The present results are compared with available results in literature.