This invention relates in general to casting rollers and in particular to a casting roller having a radial variable surface temperature.
In extrusion and embossing operations the surface temperature of the rollers contacting the molten material or web material is an important process parameter. Typical roller designs provide single roller bulk temperatures as established with internal circulation of a fluid media. The maximum temperature is normally limited to a value in which the material can be easily stripped from the roller surface.
One attempt to solve this problem can be found in expired prior art, U.S. Pat. No. 2,526,318, which vaguely describes a configuration providing two regions of variable temperature but provides no detail of design criteria or performance capabilities. Subsequent prior art, U.S. Pat. Nos. 5,945,042; 6,260,887; and 6,568,931 similarly describe a method to provide more than one temperature region around the circumference of a roller but provide no detail of design criteria or performance capability. Prior art U.S. Pat. No. 6,554,755 describes a roller design with the ability to provide a localized region of temperature difference, but the sole embodiment of this method is to create a means of compensating for shell deflection.
At the contact point of either the molten material or web a region of higher temperature is desirable to improve contact between the materials and the roller surface and to improve replication of the roller surface but this temperature is normally too high to allow stripping the material from the roller surface. Therefore, a lower surface temperature is required at the stripping point, which limits the wetting of the roller surface and pattern replication.
The purpose of this invention is to provide at least two regions around the periphery of a roller with sufficient temperature difference to provide improved wetting and replication in one region and allow for uniform stripping of the material from the second region.
Briefly, according to one aspect of the present invention a casting roller having a variable temperature surfaces comprises a rotatable cylindrical shell. Axially aligned heating electric elements are equally spaced and internal to an outer surface of the rotatable cylindrical shell. A brush assembly is in electrical contact with the heating elements during a portion of the rotatable cylindrical shell rotation about an axis. A stationary core is internal to the rotatable cylindrical shell. An annular space is between the stationary core and the rotatable cylindrical shell. A cooling fluid fills at least a portion of the annular space.
The present invention provides detailed design criteria and expected performance capabilities based on finite element analysis to investigate the effect of roller diameter, shell thickness and materials of construction
The invention and its objects and advantages will become more apparent in the detailed description of the preferred embodiment presented below.
The present invention will be directed in particular to elements forming part of, or in cooperation more directly with the apparatus in accordance with the present invention. It is to be understood that elements not specifically shown or described may take various forms well known to those skilled in the art.
The outer shell 12 of the roller is machined to accommodate a series of electrical heating elements 14 closely spaced, near the outer surface of the shell. A brush assembly 16, mounted to the roller, is utilized to provide electrical power only to heaters in the desired heating zone 18. The internal surface 20 of the outer shell 12 would be exposed to a fluid media 22 to remove the heat added by the heating elements and to continue to remove heat from the process material. The fluid media inlet 32 is attached to the roller by a commercially available rotating joint. The diameter of the shell is based on desired heating dwell time, final cooling temperature, line speed, and materials of construction. The cooled region 24 removes heat from the outer shell 12 and the cast material 86, shown in
Referring to
This embodiment is similar to the embodiment above in that the inner shell is fixed, outer shell rotates about inner shell and two temperature zones are created by thermal medium circulation. This embodiment utilizes a thin outer shell 70 supported internally by a series of pivoting loading shoes 72. The loading shoes 72 are independently adjustable to change the force exerted on the outer shell 70 and to compensate for deformation of the outer shell due to thermal and mechanical loads. The thermal medium circulates within the region containing the shoes and is baffled at two points by a first axial baffle 74 and a second axial baffle 76 to create a higher temperature region and a cooling region. This heat transfer medium may also serve as a hydrodynamic lubricant between the shoe and the inner surface of the shell.
The thin outer shell 70 is an advantaged in this application for it provides a more thermally responsive system that can heat and cool more quickly. This can also be realized as a smaller diameter for equivalent line speed. The smaller diameter translates into less work to create patterned surface and a higher contact stress in the nip for a given load.
Referring to
The loading shoe region 45 consists of an axial member machined to form pockets 29 along the length to accommodate each of the loading shoes 72. The force applied to each loading shoe is independently adjustable by means of the shoe loading mechanism 78. A manually controlled worm screw adjusting mechanism has been shown but is not limited to this implementation. High temperature fluid 3 supply 48 is located at the inlet of the loading shoe 72 to shell interface to maintain continuous supply of fluid for the hydrodynamic lubrication at this point. High temperature fluid 3 return 50 collects excess fluid for removal from the roller. Each of these regions is arranged around the periphery of the fixed inner shell 40 and constrained at a central point to accommodate differential thermal expansion. The fixed inner shell 40 is rigidly attached the machine structure through a support bracket 80 on each end. The outer shell 70 is constrained to rotate about the fixed inner shell 40 through bearings 28 mounted on each end. A seal 30 is adjacent to the bearings 28 to prevent leakage of the fluid from the inner flow chambers. A drive sprocket 82 can be used to rotate the shell to overcome nip forces and internal frictional forces.
Each of these embodiments can be described in terms of dimensionless parameters that are based on the physical properties of the cast material to be processed, the desired process conditions, the physical properties of the roller and the desired manufacturing rates. Heat transfer textbooks describe transient heat transfer using similar methods, but no direct method is taught for a design considering a combination of cast materials and roller design criteria subject to more than one heat transfer process.
A dimensionless temperature ratio, theta, can be formed based on the following parameters; Tinfinity, which is described as the bulk temperature of the heat transfer media. Tinitial, which is defined as the initial temperature of the roller shell or cast material depending on the particular process function and Tend, which is defined as the desired temperature at the end of a given process operation. A smaller value of this ratio indicates a higher efficiency in achieving desired process goals.
Another dimensionless parameter can be formed, dimensionless time, commonly referred to as tau in open literature. This parameter normalizes the time dimension by utilizing the thermal diffusivity of the material and the thickness.
The coefficients shown in this equation are fitted to the finite element results of various process simulations and related to physical properties of the cast material, roller geometry and physical properties of the roller. The subscripts of the fitted curves end with the letters cl. The subscripts on the curves al, steel, ag, and cu indicate shell materials of construction; aluminum, steel, silver and copper respectively. In addition, the subscript values of 0625 and 125 indicate shell thickness values of one sixteenth of an inch (0.00158 m) and one eight of an inch (0.0031 m) respectively. The calculations are based on a heat transfer coefficient, h, of 350 Btu/(hr*ft2*° F.) (1990 watt/(m2*° C.) and cooling a commercially available plastic material with a thermal diffusivity of 0.005 ft2/hr (0.00000013 m2/s).
The roller design can be determined from these equations for a particular set of requirements. Defining a dimensionless temperature ratio based on the temperature of each zone, heat transfer media temperatures and molten material temperature, the chart of
Referring now to
Referring to
In
Axial holes 27 are used for the circulation of heat transfer media within the core. A series of pockets 29 are created in a radial direction to serve as supports for the loading shoes 72. Seats on the stationary core 26 enable mounting of bearings 28 and fluid seals 30.
In operation, the hydrodynamic effect of a viscous fluid subject to the shear stress created by the relative velocity of the thin walled shell with respect to the loading shoe, develops a pressure profile within the converging region of viscous fluid 11. This pressure acts on the thin walled shell curved inner surface of shell 25 and the curved surface of the shoe 33. The pressure acting on the shoe results in a force normal to the curvature at the center of pressure. This force is resisted by the spring preloading force acting on the loading shoe 72. The pressure acting on the rotating thin walled outer shell 70 creates an internal force on the shell. The net difference in force acting on the shell from the internal hydrodynamic action and the external nip force will result in a localized deformation of the thin walled shell in this region.
A thin walled shell of small shell diameter is possible with this embodiment because the structural design of the shell is not dictated by beam bending criteria or shell crushing criteria. The wall thickness of the shell can be significantly thinner because the surface of the shell subjected to the external nip force is directly supported internally by the pressure created by the interaction of the magneto-rheological fluid (not shown) and the loading shoe 72.
The thin walled outer shell 70 is constrained with bearings 28 to rotate about the stationary core 26. The rotation of the shell can be imparted by the friction force at the nip point 35, shown in
The curve with diamond shaped markers represents the expected shell deformation under nip load but without internal support. The curve with triangular shaped markers represents the effect of applying a localized pressure on an area equivalent to the curved surface of the loading shoe 72 acting at the center of the shell with an average pressure of 50 psi. (0.344 MPa) The curve with rectangular shaped markers represents the positive effect on the radial deformation obtained by applying a gradient pressure profile along the inner surface of the shell ranging from 15 psi to 20 psi (0.103 MPa to 0.137 MPa). Utilizing basic fluid dynamic principles it has been calculated that a pressure of approximately 30 psi (0.206 MPa) can be developed in this region given a fluid of viscosity of approximately 10 Pa-s sheared between the outer shell and the curved surface of the shoe with an average shear rate of 250 l/s.
In addition to the magneto-rheological fluid described previously, this apparatus can accommodate other fluids without magneto-rheological properties but which exhibit non-Newtonian characteristics (viscosity of fluid is dependent on shear rate imposed). Localized pressure variations can be created through adjustment of the gap between the outer shell and the curved surface of the shoe. The average shear rate in this gap is proportional to the surface velocity of the shell divided by the gap height. Non-Newtonian fluids exhibit a logarithmic relationship between viscosity and shear rate. External manipulation of the gap combined with a fluid with desirable shear sensitive properties provides an additional means of creating localized pressure differences within each chamber.
A key advantage of this invention is the ability to replicate a pattern with lower nip pressure due to the increased surface temperature at the point of contact of the molten material with the patterned roller surface. One example of this has been modeled with computational fluid dynamics software, Polyflow, in which a resin material, polycarbonate was subject to a pressure boundary condition and the flow of the material into a fine patterned geometry was studied.
In one example, a finite element analysis has been performed on the shell of six inch diameter by 20″ face with a wall thickness of 0.125 inch, constructed of aluminum to determine the effect of circumferentially variable heating on the mechanical stresses and thermal deformation.
The invention has been described in detail with particular reference to certain preferred embodiments thereof, but it will be understood that variations and modifications can be effected within the scope of the invention.
Reference is made to commonly-assigned copending U.S. patent application Ser. No. 10/795,010, filed Mar. 5, 2004, entitled COMPLIANT PRESSURE ROLLER WITH UNIFORM NIP PRESSURE, by Bomba et al.; AND U.S. patent application Ser. No. 10/889,561, filed Jul. 12, 2004, entitled AXIALLY COMPLIANT PRESSURE ROLLER UTILIZING NON-NEWTONIAN FLUID, by Richard D. Bomba; the disclosures of which are incorporated herein.