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Described herein is a substrate including a central longitudinal axis, a first support web, and a second support web. A sinuous web may be positioned between the first support web and the second support web. The sinuous web may include transverse web portions and bridging web portions, where the bri

Described herein is a substrate including a central longitudinal axis, a first support web, and a second support web. A sinuous web may be positioned between the first support web and the second support web. The sinuous web may include transverse web portions and bridging web portions, where the bridging web portions alternatively connect ends of adjacent transverse web portions. The sinuous web may be connected to the first support web by support legs extending between bridging web portions and a surface of the first support web. The sinuous web may be connected to the second support web by support legs extending between bridging web portions and a surface of the second support web. A support leg length to distance between transverse web portions ratio may be from about 1.0 to about 4.0.

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1. A substrate having longitudinal channels through which a fluid may pass, comprising: a central longitudinal axis;a first support web and a second support web, wherein the first support web and the second support web are concentric and are each positioned at a radial distance from the central long

1. A substrate having longitudinal channels through which a fluid may pass, comprising: a central longitudinal axis;a first support web and a second support web, wherein the first support web and the second support web are concentric and are each positioned at a radial distance from the central longitudinal axis, the two radial distances being different; anda sinuous web between the first support web and the second support web, whereinthe sinuous web comprises a plurality of transverse web portions and a plurality of bridging web portions,the plurality of bridging web portions alternatively connect ends of adjacent transverse web portions closer in proximity to the longitudinal axis and ends of adjacent transverse web portions further in proximity from the longitudinal axis, forming a sinuous shape in a cross section perpendicular to the longitudinal axis,the sinuous web is connected to the first and second support webs by support legs, wherein the sinuous web is connected to the first support web by at least one support leg extending between at least one of the plurality of bridging web portions that connect ends of adjacent transverse web portions closer in proximity to the longitudinal axis and a surface of the first support web facing away from the longitudinal axis, and wherein the sinuous web is connected to the second support web by at least one support leg extending between at least one of the plurality of bridging web portions that connect ends of adjacent transverse web portions further in proximity from the longitudinal axis and a surface of the second support web facing toward the longitudinal axis, anda support leg length to distance between transverse web portions ratio is from about 1.0 to about 4.0. 2. The substrate of claim 1, wherein the support leg length to distance between transverse web portions ratio is from about 1.5 to about 3.5. 3. The substrate of claim 1, wherein the sinuous web comprises aluminum titanate, cordierite, niobate, mullite, silicon nitride, sialon, or silicon carbide. 4. The substrate of claim 1, wherein the support webs and the sinuous web are made of the same material. 5. The substrate of claim 1, wherein the support web and the sinuous web are made of different materials. 6. The substrate of claim 1, wherein the plurality of bridging web portions are curved. 7. The substrate of claim 1, further comprising a third support web and a second sinuous web between the second support web and the third support web, wherein the second sinuous web comprises a plurality of transverse web portions and a plurality of bridging web portions,the plurality of bridging web portions alternatively connect ends of adjacent transverse web portions closer in proximity to the longitudinal axis and ends of adjacent transverse web portions further in proximity from the longitudinal axis, forming a sinuous shape in a cross section perpendicular to the longitudinal axis,the second sinuous web is connected to the second and third support webs by support legs, wherein the second sinuous web is connected to the second support web by at least one support leg extending between at least one of the plurality of bridging web portions that connect adjacent ends of transverse web portions closer in proximity to the longitudinal axis and a surface of the second support web facing away from the longitudinal axis, and wherein the second sinuous web is connected to the third support web by at least one support leg extending between at least one of the plurality of bridging web portions that connect adjacent ends of transverse web portions further in proximity from the longitudinal axis and a surface of the third support web facing toward the longitudinal axis. 8. The substrate of claim 7, wherein the sinuous web and the second sinuous web are concentric. 9. The substrate of claim 8, wherein the first support web, second support web, and third support web are concentric. 10. The substrate of claim 9, wherein the substrate has a diameter of greater than about three inches. 11. The substrate of claim 7, wherein the plurality of bridging web portions of the sinuous web are aligned with the plurality of bridging web portions of the second sinuous web. 12. The substrate of claim 7, wherein the plurality of bridging web portions of the sinuous web are offset from the plurality of bridging web portions of the second sinuous web. 13. The substrate of claim 1, wherein a length of the plurality of transverse web portions is at least about three times a length of the plurality of bridging web portions. 14. The substrate of claim 1, wherein a length of the support legs is shorter than a length of the plurality of transverse web portions. 15. The substrate of claim 1, wherein first fluid channels are formed from fluid entrance portions and first fluid filter portions,second fluid channels are formed from fluid exit portions and second fluid filter portions,fluid entrance portions comprise areas between support legs on a first side of the sinuous web, and fluid exit portions comprise areas between support legs on a second side of the sinuous web,the first fluid filter portions comprise an area between adjacent transverse web portions positioned on the first side of the sinuous web, and are in fluid communication with the fluid entrance portions, andthe second fluid filter portions comprise an area between adjacent transverse web portions positioned on the second side of the sinuous web, and are in fluid communication with the fluid exit portions. 16. The substrate of claim 15, wherein a width of the fluid entrance portions or a width of the fluid exit portions is greater than a distance between adjacent transverse web portions. 17. The substrate of claim 16, wherein the width of the fluid entrance portions or the width of the fluid exit portions is greater than about 1.5 times the distance between adjacent transverse web portions. 18. The substrate of claim 15, wherein the substrate has a channel density of at least about 22 fluid channels per square inch. 19. The substrate of claim 15, wherein a filter is formed by plugging the first fluid channels or by plugging the second fluid channels. 20. The substrate of claim 19, wherein the substrate has a filtering surface area greater than about ten square inches per cubic inch.