Hydrocyclone: Geometry Tab (Based on Body Diam. & Dim. Anal.)

This tab appears on the interface dialog of the Hydrocylone (see Hydrocyclone) when the option to size the equipment based on body diameter is selected through the corresponding Equipment tab (see Equipment Data Dialog: Equipment tab) and also the option to use a body diameter-throughput model that is based on dimensionless analysis is selected through the same tab.

Variable Definitions, Ranges and Default Values

The following table shows the meaning of the variables appearing in this tab, as well as their default values and their generally acceptable range. Note that due to the manner by which the variables are used by the sizing and costing equations, the range of acceptable values may be further reduced.

Variable	Default Value	Range

○ Standard Geometry The selected standard hydrocyclone geometry.	Rietema	Rietema/ Bradley
○ Customize Data? Check this box to customize the geometric data of the currently selected standard geometry, as well as the dimensionless scale-up and reduced grade efficiency model parameters corresponding to the currently selected standard geometry.	No	Yes/No
○ Rectangular Inlet? Check this box to specify a rectangular inlet pipe.	No	Yes/No
◙ Inlet Height to Body Diameter The ratio of the height of the inlet pipe to the body diameter.	0	Positive
◙ Inlet Width to Body Diameter The ratio of the width of the inlet pipe to the body diameter.	0	Positive
◙ Inlet Diameter to Body Diameter The ratio of the area-equivalent diameter of the inlet pipe to the body diameter.	0.280	Positive
◙ Overflow Diameter to Body Diameter The ratio of the diameter of the overflow pipe to the body diameter.	0.340	Positive
◙ Underflow Diameter to Body Diameter The ratio of the diameter of the underflow orifice to the body diameter.	0.200	Positive
◙ Vortex Finder Length to Body Diameter The ratio of the length of the vortex finder to the body diameter.	0.400	Positive
◙ Cyclone Length to Body Diameter The ratio of the overall length of the cyclone to the body diameter.	5.000	Positive
○ Cone Apex Included Angle The included angle of the cone apex.	20.0 ^o	Positive
● Inlet Diameter The area-equivalent diameter of the inlet pipe.	0.000 m	Positive
● Inlet Height The height of the rectangular inlet pipe.	0.000 m	Positive
● Inlet Height The width of the rectangular inlet pipe.	0.000 m	Positive
● Overflow Diameter The diameter of the overflow pipe.	0.000 m	Positive
● Underflow Diameter The diameter of the underflow orifice.	0.000 m	Positive
● Vortex Finder Length The length of the vortex finder.	0.000 m	Positive
● Cyclone Length The overall length of the cyclone.	0.000 m	Positive
◙ k1 Parameter k1 of the dimensionless group model.	0.047	Positive
◙ k2 Parameter k2 of the dimensionless group model.	371.5	Positive
◙ k3 Parameter k3 of the dimensionless group model.	1218	Positive
◙ n1 Parameter n1 of the dimensionless group model.	0.74	Positive
◙ n2 Parameter n2of the dimensionless group model.	9.0	Positive
◙ n3 Parameter n3 of the dimensionless group model.	0.12	Positive
◙ n4 Parameter n4 of the dimensionless group model.	-2.12	Positive
◙ n5 Parameter n5 of the dimensionless group model.	4.75	Positive
◙ n6 Parameter n6 of the dimensionless group model.	-0.3	Positive
◙ m Parameter m of the reduced grade efficiency model.	2.45	Positive

Symbol Key: ○ User-specified value (always input); ● Calculated value (always output); ◙ Sometimes input, sometimes output

Standard Geometry

Select one of the available standard geometries (i.e., sets of optimum geometric proportions relative to the body diameter published in the literature).

Customize Data

If this option is checked, you can customize the geometric proportions of the standard geometry, as well as the dimensionless scale-up and reduced grade efficiency model parameters.

Rectangular Inlet

If this option is checked, you can specify the ratio of inlet height to body diameter of the rectangular inlet and the program will calculate the ratio of inlet width to body diameter, as well as the inlet height and inlet width of the rectangular inlet. If this option is not checked, the program will calculate the area-equivalent inlet diameter based on the ratio of the area-equivalent inlet diameter to the body diameter.

Underflow Diameter To Body Diameter Ratio

When dimensionless analysis is used, the ratio of underflow diameter to body diameter is calculated by the respective Hydrocycloning operation (i.e., it is an operating variable).

Reduced Grade Efficiency Model

The reduced grade efficiency model is only used when the option to calculate the particle removal is selected through the Hydrocycloning operation’s data dialog.

Cyclone Design

Based on the body diameter and on the geometric proportions of the selected geometry related to the body diameter, the program calculates the inlet diameter, ratio of underflow diameter to body diameter, underflow diameter, overflow diameter, vortex finder length and cyclone length. If the inlet is rectangular, the user must also specify the ratio of inlet height to body diameter and the program also calculates the inlet height and inlet width.

For more information on this equipment, see Hydrocyclone.