Patent Application
20070272483
Referring to
Referring to
The configuration of the face sheet 28 is fabricated to minimize drag while maximizing acoustic attenuation performance. The example openings 32 are generally round holes including a diameter. The number and diameter of openings 32 are determined to provide a desired percent open area. The percent open area is that area of all the plurality of openings 32 relative to the entire area of the surface 38. The percent open area as utilized and referred to in this application refers to an effective open area. The effective open area accounts for the partial blocking of holes caused by underlying structures or adhesives. The percent open area is determined to provide a desired performance of the noise attenuation liner assembly 22.
Referring to
The example liner assembly 22 is fabricated according to a relationship that includes selected desired performance characteristics in view of physical dimensions of the face sheet 28. The method of fabricating the example liner assembly 22 includes the step of selecting a desired resistance. Resistance to air flow is a performance characteristic that is utilized in determining the configuration of the liner assembly and is a performance measure that accounts for many physical factors of the liner assembly. Resistance is selected at a desired air flow speed, in this example 105 cm/sec, through the face sheet 28. This resistance is denoted as R105. The resistance is a value that is indicative of a resistance to air flow as measured by a drop in pressure through the face sheet 28. The example liner assembly 22 is constructed to provide a resistance (R105) within a range between 60 and 80 cgs Rayls.
The method of fabricating the example liner assembly 22 also includes the step of selecting a desired non-linearity factor. The non-linearity factor is selected to provide the desired acoustic performance over a range of air flows and sound levels that are indicative of operating conditions. It is desired to reduce the non-linearity factor to a value close to “1” as a value of “1” is indicative of a completely linearly performing liner.
The non-linearity factor provides a measure of any deviation from the linear idealized linear. The non-linearity factor is defined as the ratio between resistance at 200 cm/s airflow and the resistance at 20 cm/s airflow. In some instances some non-linearity is desired which is reflected in increased non-linearity values. As appreciated, the specific range of non-linearity factors utilized will reflect the desired liner performance for a specific application. The illustrated example liner assembly 22 is tailored to provide a desired non-linearity factor between 1.4 and 1.6.
The surface finish of the face sheet surface 38 also affects performance and is determined as a function of hole diameter and porosity. The face sheet surface 38 can be represented in an equivalent sand-grain roughness. The equivalent sand-grain roughness is determined as a factor related to the diameter and porosity of the openings 32 according to the relationship:
K
s
=d×0.45σ (Equation 1)
Where Ks is the equivalent sand-grain roughness in centimeters;
d is the diameter of the opening in centimeters; and
σ is the porosity (% open area/100).
The example liner assembly 22 includes a surface finish of approximately 0.000367 cm (0.000144 inches) for holes having a nominal diameter of 0.00920 cm (0.00362 inches) and porosity of 8.85%. As appreciated, the measured surface finish is reflective of the size and porosity of openings provided in the face sheet 28.
The method utilizes the desired tailored performance values of the face sheet 28 to determine the specific range of hole diameters 34 and porosities. The method begins by specifying the desired performance of the liner assembly 22. Performance for the example liner assembly 22 is specified by selecting a range of resistance and non-linearity factors that are indicative of desired liner performance. Once the desired acoustic performance values are selected, the diameter and porosity of the face sheet 28 are determined according to a relationship accounting for each criterion.
The opening size or diameter refers to the smallest hydraulic diameter for an opening. As appreciated, the fabrication of openings in the perforated face sheet 28 produces a generally circular opening. However, that opening may include jagged edges and be somewhat out of round. Further, opening of different shapes will also provide the desired performance. Accordingly, the diameter that is determined is the hydraulic diameter of the opening. The hydraulic diameter applies to openings of many different shapes and also to an inconsistently shaped opening. Further, the opening extends through the thickness of the perforated face sheet and therefore may include a tapered shape. The hydraulic diameter determined is the smallest within the opening that occurs within the thickness.
In the illustrative example, the non-linearity factor (R200/R20) is a value between 1.4 and 1.6, and the resistance (R105) is between 40 and 80 cgs Rayls. As appreciated, the non-linearity factor values and the resistance values are indicative of a selected liner performance, and the example liner assembly can be fabricated according to other desired performance requirements.
The non-linearity factor along with the resistance value is utilized to determine a required percent open area (POA) that will provide performance within the desired parameters. A relationship including the values selected that are indicative of the desired liner performance attributes are utilized to determine the physical dimensions for the liner assembly. The relationship utilizes known relationships to provide the desired dimensions. This is determined according to the empirical relationship:
Where: POA is percent open area;
NLF is the selected non-linearity factor; and
R105 is the selected resistance value in cgs Rayls.
Once the percent open area is determined, the diameter 34 of each of the plurality of openings 32 is determined. The diameter 34 is determined according to a relationship that factors in the selected non-linearity factor and the selected resistance values. The relationship is utilized to determine the diameter 34 of the opening 32 given a thickness 36 of the face sheet that is required to provide the desired performance. The example liner assembly 22 is fabricated to provide a performance having a NLF of between 1.4 and 1.6, and a R105 resistance value within a range between 60 and 80 cgs Rayls. The diameter of each of the openings 32 is determined according to the empirical relationship:
Where d is the diameter of the opening in centimeters;
NLF is the non-linearity factor;
R105 is the resistance value in cgs Rayls;
t=thickness of the face sheet in centimeters; and
μ=the absolute viscosity (1.789×10−4 gm/cm-sec).
The diameter determined according to this relationship combined with the previously determined percent open area specifies a perforated face sheet 28 that provides the selected non-linearity and resistance values that are indicative of desired liner performance. The diameter 34 is determined utilizing the same parameters as is utilized to determine the percent open area. Accordingly, an example relationship can be utilized to determine the diameter 34 of the opening that is required in view of the thickness of the face sheet material.
The percent open area and diameter 34 are determined for each combination of range limits for the selected non-linearity values and resistance values. In the described example, non-linearity is selected to be between 1.4 and 1.6 and the R105 resistance is selected to be between 60 and 80 cgs Rayls. Four combinations are determined utilizing these points to define a range of possible percent open area and hole diameter combinations that will fulfill the selected design requirements.
Referring to
In the example graph 45 the point 48A is determined by combining the percent open area and diameter that is determined utilizing a non-linearity factor of 1.4 and a resistance value of 80 cgs Rayls. The point 48A represents an open area of 10.35%, and a hole diameter 34 of 0.00661 cm (0.00260 inches). Another point 48B is determined utilizing the non-linearity value of 1.4, and a resistance value of 60 cgs Rayls. The point 48B represents an open area 11.86% and a diameter 34 of 0.00713 cm (0.00281 inches). Point 48C is determined utilizing the non-linearity value of 1.6 and a resistance value of 60 cgs Rayls, and represents an open area of 10.14% and a diameter 34 of 0.00811 cm (0.00319 inches). Point 48D is determined utilizing the non-linearity value of 1.6 and the resistance value of 80 cgs Rayls and represents a percent open area of 8.85% and a hole diameter of 0.00752 cm (0.00296 inches). The resulting design space 46 applies to a face sheet having thickness of 0.0508 cm (0.020 inches) in order to provide the desired performance. As appreciated, for different selected NLF and R105 resistance values, different design spaces will by defined that will in turn provide the selected liner performance.
Another design space 52 illustrates the combination of percent open area and hole diameter required for a face sheet having a thickness of 0.152 cm (0.06 inches) in order to provide the desired liner performance for the example NLF and R105 resistance values. The percent open areas are substantially the same as for the thinner face sheet material utilized for the example design space 46 with an increased range and size of hole diameters. The increased hole diameters and percent open area combinations indicated by points 54A, 54B, 54C and 54D provide the desired liner performance in the thicker face sheet. The larger diameter openings operate to provide substantially equal performance as compared to the face sheet with a thickness of 0.051 cm (0.020 inches). The example point 54A relates to a hole diameter 34 of 0.0115 cm (0.00451 inches), point 54B relates to a hole diameter 34 of 0.0124 cm (0.00486 inches), point 54C relates to a hole diameter 34 of 0.0140 cm (0.00553 inches) and point 54D relates to a hole diameter 34 of 0.0130 cm (0.00513 inches).
Although the hole diameter required to provide the selected liner performance can vary for differing thickness of face sheet 38, a specific range of hole sizes as related to face sheet thickness applies to the example liner assembly. The hole diameter is no more than ¼th the thickness of the face sheet to provide the desired performance. Although hole diameters are greater in the thicker face sheet provided for in the design space 52, any hole diameter is no more than ¼th the thickness. The hole diameter 34 may be less, such as for example 1/9th the thickness of the face sheet or even less, but is not greater than ¼th the face sheet thickness.
The method of fabricating a liner assembly according to this invention begins by first selecting a R105 resistance and non-linearity factor. The resistance is tailored to the application operating conditions to provide for the attenuation of noise within a desired noise frequency band. The disclosed example includes a range of resistance of between 60 and 80 cgs Rayls for an air flow speed of 105 cm/sec. The NLF is selected to provide the desired acoustic performance over a range of engine operating conditions. The example NLF range is between 1.4 and 1.6 to provide the desired liner performance.
Once the acoustic performance parameters have been selected, the percent open area is determined utilizing the example relationship represented by equation 2. Once the percent open area is determined the diameter for the opening is determined as it relates to the thickness of the desired face sheet material. The diameter is determined for each combination provided by the extreme limits of range for NLF and R105 resistance. The pairs of related diameters and percent open areas define the boundaries of the design space. Any pair of percent open area and hole diameter within the defined design space will provide the selected NLF and R105 resistance for the liner assembly 22.
Accordingly, the example method of fabricating a liner assembly provides a liner assembly having a selected NLF and resistance value that provides the desired noise attenuation while providing a perforated face sheet that increases durability compared to a woven mesh liner. Further, the example ratio of each of the plurality of hole diameters being less then approximately ¼th the thickness of the face sheet provides a relatively smooth surface with substantially the same drag as is created for a non-perforated face sheet. Acoustic liner assemblies fabricated with a face sheet designed and built according to the method of this invention provide improved acoustic performance, reduced drag affects and improved linearity across a wide range of engine operating conditions in a durable acoustic liner assembly.
Although a preferred embodiment of this invention has been disclosed, a worker of ordinary skill in this art would recognize that certain modifications would come within the scope of this invention. For that reason, the following claims should be studied to determine the true scope and content of this invention.
