Presenter: Mostafa Ghadamyari

Autumn 2014

Tarbiat Modares University

Seminar of MultiPhase Flow Course

•A Brief Reminder of SIMPLE Algorithm

•Extension of SIMPLE algorithm to:

•Solution of two-Phase flow in Convergent-Divergent Nozzle

A Brief Reminder of SIMPLEAlgorithm

The Governing equations of Fluid Flow:

Variables: V, p, h

use pressure-correction equation continuity constraint

use staggered gridderivation of the pressure

equation

Conservation Equations can be cast in the following general form:

The above equation can be discretized using the Finite-Volume method:

Simple Iteration:

Extension ofSIMPLE algorithmto Multi-Phase flow

The Governing equations of Fluid Flow:

Variables: V(k), p, h(k), r(k)

Geometric conservation equation

1D, two-phase flow:Equations:2 Continuity + 2 Momentum-x + 1 Geom. Cons.

Variables:V1, V2, P, r1, r2

The geometric conservation-based algorithm ( GCBA):

The mass conservation-based algorithm ( MCBA):

Conservation Equations can be cast in the following general form:

The above equation can be discretized using the Finite-Volume method:

Solution of two-Phase flowin Convergent-DivergentNozzle

Thank You!