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Application of Soft Porous Materials to a High-Speed Train Track

Volume 12, Issue 11, 2009, pp. 1037-1052
DOI: 10.1615/JPorMedia.v12.i11.20
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ABSTRACT

This paper explores the performance of an airborne jet-ski train that flies on a soft porous track within centimeters of the earth’s surface at speeds approaching current commercial jet aircraft. The jet train employs a lift mechanism first described for red cells gliding on the endothelial glycocalyx and subsequently used to predict the lift forces generated in skiing and snowboarding by the transiently trapped air beneath their planing surfaces. Using an asymptotic analysis for large values of the permeability parameter H/√Kp, where H is the porous layer thickness and Kp the Darcy permeability we first show that it is possible to support a 70 metric ton jet train carrying 200 passengers on a confined porous material if its Kp is approximately 5 × 10−9 m2. For this Kp one finds that the tilt of the planform is < 0.1 deg and the liftoff velocity is < 5 m/s. This value of Kp can be satisfied by a random fiber matrix with a fiber radius of 5 μm and a void fraction of 0.995. Compression tests on a fiber-fill material with these properties show that the fibers contribute < 0.2% of the total lift at maximum compression, and hence, the friction force of the fiber phase is negligible. Using jet engines of 10,000 lbf thrust, about 1/5 that of a 200 passenger jet aircraft, one is able to obtain a cruising velocity approaching 700 km/hr. This would allow for huge fuel savings and greatly reduce greenhouse emission.

CITED BY
  1. Crawford Robert, Jones Gerard F., You Lidan, Wu Qianhong, Compression-dependent permeability measurement for random soft porous media and its implications to lift generation, Chemical Engineering Science, 66, 3, 2011. Crossref

  2. Akaydin H.D., Pierides A., Weinbaum S., Andreopoulos Y., Permeability of soft porous media under one-dimensional compaction, Chemical Engineering Science, 66, 1, 2011. Crossref

  3. He Ji-Huan, Frontier of Modern Textile Engineering and Short Remarks on Some Topics in Physics, International Journal of Nonlinear Sciences and Numerical Simulation, 11, 7, 2010. Crossref

  4. Crawford Robert, Nathan Rungun, Wang Liyun, Wu Qianhong, Experimental study on the lift generation inside a random synthetic porous layer under rapid compaction, Experimental Thermal and Fluid Science, 36, 2012. Crossref

  5. WU QIANHONG, SUN QINGJIE, A Comprehensive Skiing Mechanics Theory with Implications to Snowboard Optimization, Medicine & Science in Sports & Exercise, 43, 10, 2011. Crossref

  6. Wu Qianhong, Santhanam Sridhar, Nathan Rungun, Wang Qiuyun, A biphasic approach for the study of lift generation in soft porous media, Physics of Fluids, 29, 4, 2017. Crossref

  7. Gacka T., Zhu Z., Crawford R., Nathan R., Wu Q., From red cells to soft lubrication, an experimental study of lift generation inside a compressible porous layer, Journal of Fluid Mechanics, 818, 2017. Crossref

  8. Zhu Zenghao, Wang Qiuyun, Wu Qianhong, On the examination of the Darcy permeability of soft fibrous porous media; new correlations, Chemical Engineering Science, 173, 2017. Crossref

  9. Mirbod Parisa, Wu Zhenxing, Ahmadi Goodarz, Laminar flow drag reduction on soft porous media, Scientific Reports, 7, 1, 2017. Crossref

  10. Wu Zhenxing, Mirbod Parisa, Experimental analysis of the flow near the boundary of random porous media, Physics of Fluids, 30, 4, 2018. Crossref

  11. Kang Changwoo, Mirbod Parisa, Porosity effects in laminar fluid flow near permeable surfaces, Physical Review E, 100, 1, 2019. Crossref

  12. Hooshyar Saman, Yoshikawa Harunori N., Mirbod Parisa, The impact of imposed Couette flow on the stability of pressure-driven flows over porous surfaces, Journal of Engineering Mathematics, 132, 1, 2022. Crossref

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