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OCTOBER 19-20, 2012 - YMCA University of Science & Technology

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Proceedings <strong>of</strong> the National Conference on<br />

Trends and Advances in Mechanical Engineering,<br />

<strong>YMCA</strong> <strong>University</strong> <strong>of</strong> <strong>Science</strong> & <strong>Technology</strong>, Faridabad, Haryana, Oct <strong>19</strong>-<strong>20</strong>, <strong>20</strong>12<br />

• Effects <strong>of</strong> gravity was accounted for to act in the negative z-direction<br />

• Multi phase simulations were carried out.<br />

• The pipe wall roughness was taken smooth<br />

• A non-slip boundary condition was imposed at the stationary walls, so that velocity at the wall is forced to be<br />

zero.<br />

The different model parameters have been defined as close as possible to the actual experimental<br />

conditions and Table 1 shows the selection <strong>of</strong> model parameters.<br />

Parameter selection<br />

Table 1 Selection <strong>of</strong> different simulation parameters<br />

Solver<br />

Formulation<br />

Time<br />

Space<br />

Velocity formulation<br />

Gradient option<br />

Multiphase<br />

Turbulent model<br />

Near-wall treatment<br />

k-ε multiphase model<br />

Segregated<br />

Implicit<br />

Un Steady<br />

3D<br />

Absolute<br />

Cell-based<br />

Eulerian/ Mixture<br />

Standard k-ε (2-equation)<br />

Standard wall function<br />

Per phase in Eulerian<br />

In the above simulation specifications, The Eulerian and mixture model is used in Fluent s<strong>of</strong>tware with standard<br />

equations. The discretization method called ‘Phase Coupled SIMPLE’ was selected for the pressure-velocity<br />

coupling while ‘First Order Upwind’ discretization method was used for other scalar parameters like momentum,<br />

volume fraction, turbulent kinetic energy etc. The simulations have been carried out for different test conditions<br />

in terms <strong>of</strong> solid loading ratio, superficial air flow velocity, and volumetric solid concentration and pressure drop<br />

values. Inlet boundary conditions such as inlet velocity, volume fraction <strong>of</strong> solid etc, have been defined<br />

according to the experimental parameters. Distribution <strong>of</strong> cross sectional velocity is reasonable to assume<br />

uniform at the bend inlet. At wall, no slip condition is assumed and the wall roughness constant was taken as 0.5.<br />

For the convenience <strong>of</strong> the simulations, spherical mono sized particles were assumed for all solid materials and<br />

with this assumption; particle mean diameters were used for the simulations. To define the boundary conditions<br />

at the inlet, the velocities <strong>of</strong> all the phases have to be given. The process <strong>of</strong> solving a multiphase system is<br />

inherently difficult, and usually one may encounter some stability or convergence problems. After each<br />

simulation, the velocity and pressure pr<strong>of</strong>iles and distribution <strong>of</strong> solid volume fractions <strong>of</strong> each phase were<br />

inspected. The variations <strong>of</strong> the above variables with the time were also examined according to the simulation<br />

results. Finally, pressure drops across the considered sections for different test conditions were calculated using<br />

simulation results and then compared with the experimental observations.<br />

Grid adaptation for y+<br />

It is essential to make sure that the depth <strong>of</strong> the wall-adjacent cells fall within the distance over which the loglaw<br />

is valid (30

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