Constant Loss Coefficient (K-Factor)

Losses through a media can be expressed in terms of an additional pressure gradient:

pressure gradient

where K*i is the loss coefficient in the global *i coordinate direction.

Each global coordinate direction can have its own unique loss coefficient.

Assigning Loss Coefficients

Loss coefficients in Autodesk® CFD are expressed without units, and are independent of the length of the resistance in the model. The equation describing these losses is written in terms of a pressure drop instead of a pressure gradient:

pressure drop

To input a constant loss coefficient

Through-Flow Loss Coefficients

Values for loss coefficients are found in many fluids texts and the hydraulic resistance reference, Handbook of Hydraulic Resistance, 3rd Edition by I.E. Idelchik, published by CRC Press, 1994 (ISBN 0-8493-9908-4).

Alternatively, if measured data for pressure drop versus flow rate is available. Solve the equation, pressure drop, for delta p, using the known values of pressure and velocity to determine the value of delta.

Enter this value for the Through-Flow K.

Normal Direction Loss Coefficients

In many situations, such as in a flow straightener, the loss in the normal directions will be significantly higher than the loss in the through-flow direction.

To represent this, enter Normal Direction K values four or five orders of magnitude higher than the through-flow value.

This will allow the flow to go in the desired direction, and impede it in the normal directions.

Permeability

The Permeability value can be specified in conjunction with the Constant resistance method as well as the Friction Factor method. This allows a resistance to be specified in the form:

permeability

Where alpha is the viscous resistance term, which is the reciprocal of permeability.

To Specify a Permeability with a constant loss coefficient

Enter the value of permeability in the resistance Material Editor. It is used in the pressure drop equation in the following manner:

pressure drop equation

where kappa is the value of permeability. The unit of permeability is the Darcy, and is expressed in terms of length squared.

The combined pressure drop equation is then:

combined pressure drop equation

Where:

Note: The value of permeability specified for one component is automatically applied to the other components.

To Specify a constant loss coefficient or friction factor without a permeability

To enter a constant resistance or a friction factor without the contribution of a permeability, leave the Permeability value 0.

To Specify a Permeability without a constant loss coefficient

To apply a permeability value without a constant loss coefficient or friction factor, change the Variation Method to Permeability, and enter the appropriate value of permeability.

Check the Permeability Topic for more information