Abstract

This paper shows the comparative results of an experimental and numerical study. The numerical simulations were performed with the ANSYS/Fluent software by means of CFD applying RNG k-ε and standard k-ω turbulence models.

Experimental data were recorded of a hydrocyclone mounted on a test bench which operates with a water flow. The values extracted are the inlet pressure, outlet pressure, inlet velocity and outlet velocity. In order to investigate the pressure drop underwent by a hydrocyclone, a pressure assessment was carried out in different areas of the divice geometry.

The results of the numerical study were compared and correlated with the experimental data. The numerical values report a percentage difference of 10.45% for the RNG k-ε model and 1.57% for the standard k-ω model, with respect to the experimentally obtained output pressure. The percentage difference between experimental and numerical pressure drop is 0.04% for standard k-ω model and 0.24% for RNG k-ε model.

By studying finite volumes, the components of axial velocity, tangential velocity and turbulence intensity are calculated. These phenomena are studied simultaneously in this work. The turbulence models used to generate the corresponding analyzes in this work show similarity between both results and flow behavior. The concordance between the computational results and the experimental data is acceptable, so that the numerical simulations applied reach the purpose of this investigation.

Abstract

In this paper, a new fractional analytical iterative method was successfully used to obtain the fractional analytical solutions of the homogeneous nonlinear gas dynamics equation and nonlinear convection-diffusion equation. The novelty of the paper appears in its specific application of the Caputo fractional operator to conventional equations while achieving extremely precise solutions through familiar series solutions and for more complex nonlinear solutions to fractional partial differential equations. Also, no assumptions about nonlinear terms are needed. Numerical outcomes for various cases of the equations are represented via tables and graphs. The convergence analysis for the present approach was successfully completed. The methodology is very capable of reducing the size of the analytical steps as well as being convenient and efficient for solving nonlinear fractional equations.