ABSTRACT

CFD simulations, continuity, momentum, and energy

equations are numerically solved. These simulations are

based on finite difference, finite element, and finite volume

element approaches where finite volume methods combine

the flexibility of finite element with the execution speed of

finite difference methodology.[4]

The first step for solving required equations for exact,

numerical, or CFD solution is to set up initial and boundary

conditions after defining the system to be studied. In the

case of heat transfer, prescribed surface temperature or

heat flux and convection boundary conditions are applied.

In solving momentum equations, no-slip boundary condi-

tion, stating zero velocity at the walls where fluid is in

contact, is mostly used. A general approach for solving

fluid flow problems in food processing simulations is

incompressible fluid assumption (where density remains

constant against isothermal pressure changes) since the

problems are mostly liquid related, and liquid densities

are essentially constant. For example, density of water at

200 atm differs less than 1% than the density at 1 atm. In

addition to required initial and boundary conditions,