If the vessel has multiple nozzles projecting from the main cylinder, then set the Type of model to generate drop-down box in the General tab to Multiple nozzles. This will deactivate the other tabs. The input is used only for a single nozzle vessel.
To generate a plate or shell element model, select the Plate/shell option in the Type of pipes generated drop-down box on the General tab. To generate a brick element model, select the Solid option. Note that the Preview Area does not show the thicknesses; it continues to show the plate/shell mesh.
The input for a multiple nozzle vessel is entered by pressing the Multiple nozzles button. This will display the Cylinder with Multiple Nozzles input dialog.
On the Geometry tab, specify the length, diameter (at -X end of cylinder) and taper angle of the cylinder. The centerline of the cylinder is on the X axis, and the end on the -X side is at the origin. The taper angle is defined as tan(angle a)=[0.5*(End Diameter - Diameter of cylinder)/(Length of cylinder)]. A positive taper angle means that the diameter is larger at the +X end of the cylinder than at the end specified (Diameter of cylinder (D1)).
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Key: D = diameter of cylinder (user input) De = end diameter (calculated) L = length of cylinder (user input) α = taper angle (user input). Tan(α) = (De - D)/2/L |
Figure 1: Tapered Cylinder |
Since the main cylinder can contain multiple nozzles, the following buttons on the Cylinder with Multiple Nozzles input dialog are used to manipulate the various nozzles:
When editing a particular nozzle (either when adding a new nozzle or modifying an existing nozzle), the Particular Nozzle dialog specifies all of the parameters for the position, size, heads on the nozzle, and so forth. The input is mostly self explanatory with the following clarifications:
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Offset of nozzle by distance |
Offset of nozzle by angle |
Note that the nozzle centerline is parallel to the centerline defined by the X rotation angle. When the offset is 0, the nozzle is perpendicular to the vessel. When the offset is nonzero, the nozzle is no longer perpendicular to the vessel. By using a combination of X rotation and offset, a nozzle can be created with any desired orientation. |
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Example Vessel with known position of nozzle at angles α and β. |
Input into PVDesigner. X rotation = α-β. ADY = β. |
Figure 3: Rotation of Nozzle About Y Axis.
A positive angle is shown. Note that the angle follows the left-hand rule.
After a head is added to the main cylinder or to a nozzle on the main cylinder (see below), a nozzle can be added to the head! On the dialog where the head is defined, activate the check box Include nozzles on head, and then click the Nozzles on head button. Refer to the page Nozzles on Heads for details.
Flanges can be added to either end of the cylinder from the main Cylinder With Multiple Nozzles dialog. From there, use the Extras tab to specify the parameters for the flanges.
Flanged can be added to the end of a nozzle. Modify the nozzle of interest to display the Particular Nozzle dialog, then go to the Extras tab. Enter the desired dimension.
Repads around the nozzle to main cylinder intersection are also added from the Extras tab for the appropriate nozzle; that is, modify the nozzle of interest to display the Particular Nozzle dialog, then go to the Extras tab.
Heads can be added to the cylinder from the main Cylinder With Multiple Nozzles dialog. Go to the Extras tab and click the Heads button. This will access the Heads on Cylinder dialog.
Heads can be added to the end of any nozzle attached to the main cylinder. Modify the nozzle of interest to display the Particular Nozzle dialog, then go to the Heads tab.
Whether adding a head to the cylinder or a nozzle, the input is similar. See the page Heads Dialog for details.
Each piece of the vessel (cylinder, nozzle, repads, and so on) can be created on a different part number. Recall that the part number controls parameters such as the material properties, and the thickness of the part and which side is top and bottom for pressure loading (for plate/shell models).
Part numbers for the cylinder are specified from the main Cylinder With Multiple Nozzles dialog. From there, use the Parts tab.
Part numbers for each nozzle are specified by modifying the nozzle of interest to display the Particular Nozzle dialog, then go to the Parts tab.
You can control the mesh spacing used for each part of the pressure vessel. For the main cylinder, flanges and heads on the cylinder, go to the Mesh tab on the main Cylinder With Multiple Nozzles dialog.
For the mesh around the nozzles, transition region, flange, repad, and heads on the nozzle, modify the nozzle of interest to display the Particular Nozzle dialog, then go to the Mesh tab. In addition to specifying the number of divisions, the size of the transition region around the nozzle to cylinder intersection is controlled by the Ratio of transition to cylinder diameter input. The dimension of the transition region, measured from the nozzle (or edge of the repad if included), is equal to or greater than the ratio input value times the cylinder diameter. The actual dimension of the transition region is adjusted to fit the mesh on the cylinder. See Figure 4.
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Key: 1 = nozzles on head 2 = head on nozzle 3 = nozzle on cylinder 4 = optional repad on the cylinder 5 = transition region on the cylinder NX = distance between nozzle (or repad if it exists) and end of transition region in the axial direction. NX>=Ratio*cylinder diameter. NT = distance between nozzle (or repad if it exists) and end of transition region in the sweep direction. NT>=Ratio*cylinder diameter. |
Figure 4: Transition Mesh Between Nozzle and Cylinder |
To create a nonstructured mesh, you must own the ability to mesh CAD models, then:
If you are creating a brick model, the thickness of each part can be specified on the appropriate Thickness dialog. For example, the dialog for entering the main cylinder dimensions includes a Thickness tab, the dialog for entering the main cylinder nozzle dimensions includes a Thickness tab, and the dialog for entering the nozzle on a head includes a Thickness tab. (For plate/shell meshes, the thickness of each region is specified in the FEA Editor under the Element Definition.)