FILTER MEDIA HAVING AN OPTIMIZED GRADIENT
Filter media having a gradient in a property and methods associated with such media are provided. In some embodiments, a filter media may have a gradient in mean pore size. The gradient in mean pore size may be across at least a portion of the thickness of the filter media. In some embodiments, the gradient can be represented by an exponential function. The exponential gradient in mean pore size may impart desirable properties to the filter media including enhanced filtration properties (e.g., relatively high dust holding capacity and efficiency), amongst other benefits. The filter media may be particularly well-suited for applications that involve filtering liquids (e.g., hydraulics, fuel, lube, water), though the media may also be used in other applications.
1 . (canceled)
2 . A filter media having a gradient in mean pore size across at least a portion of the thickness of the filter media, wherein the gradient is represented by an exponential function fit to four numerical values of the mean pore size determined at different points across at least the portion of the thickness of the filter media, the exponential function having the form:
mean pore size( x )= a*exp ( k*x )
wherein x corresponds to a location along the thickness of the portion of the filter media and is normalized to have a value greater than or equal to 0 and less than or equal to 1, and
wherein k is greater than or equal to 0.1 and less than or equal to 1.75;
wherein a is greater than or equal to 0.1 microns and less than or equal to 100 microns;
wherein the exponential function is determined using a least squares linear regression model; and
wherein a coefficient of determination of the exponential function is greater than or equal to about 0.9.
3 . A filter media having a gradient in mean pore size across at least a portion of the thickness of the filter media, wherein the gradient is represented by an exponential function fit to at least four numerical values of the mean pore size determined at different points across at least the portion of the thickness of the filter media, the exponential function having the form:
mean pore size( x )= a*exp ( k*x )
wherein x corresponds to a location along the thickness of the portion of the filter media and is normalized to have a value greater than or equal to 0 and less than or equal to 1, and
wherein k is greater than or equal to 0.1 and less than or equal to 1.75;
wherein a is greater than or equal to 0.1 microns and less than or equal to 100 microns;
wherein the exponential function is determined using a least squares linear regression model;
wherein a coefficient of determination of the exponential function is greater than or equal to about 0.7; and
wherein the coefficient of determination of the exponential function is greater than all coefficient of determinations for linear functions fit to the at least four numerical values of the mean pore size using the least squares linear regression model.
4 . The filter media of claim 2 , wherein a is greater than or equal to 2 microns and less than or equal to 60 microns.
5 . The filter media of claim 2 , wherein k is greater than or equal to 0.25 and less than or equal to 0.75.
6 . The filter media of claim 2 , wherein k is less than or equal to 1.5.
7 . The filter media of claim 2 , wherein the gradient in mean pore size is across the entire thickness of the filter media.
8 . The filter media of claim 2 , wherein a change in mean pore size along the gradient in mean pore size is greater than or equal to about 1 microns and less than or equal to 100 microns.
9 . The filter media of claim 2 , wherein the filter media is a multi-layered filter media.
10 . The filter media of claim 2 , wherein the coefficient of determination of the exponential function is greater than all coefficient of determinations for linear functions fit to the four numerical values of the mean pore size using the least squares linear regression model.
11 . The filter media of claim 2 , wherein the portion of the thickness of the filter media is greater than or equal to about 20% of the thickness of the gradient.
12 . The filter media of claim 2 , wherein the filter media comprises glass fibers.
13 . The filter media of claim 2 , wherein the filter media comprises synthetic fibers.
14 . The filter media of claim 2 , wherein the filter media has a basis weight of greater than or equal to about 0.5 g/m 2 and less than or equal to about 400 g/m 2 .
15 . The filter media of claim 2 , wherein the gradient in mean pore size is across four or more layers of the filter media.
16 . The filter media of claim 15 , wherein at least four of the four or more layers have a constant mean pore size.