Pulsatile flow and mass transport past a circular cylinder
dc.contributor.author | Zierenberg, Jennifer R. | en_US |
dc.contributor.author | Fujioka, Hideki | en_US |
dc.contributor.author | Suresh, Vinod | en_US |
dc.contributor.author | Bartlett, Robert H. | en_US |
dc.contributor.author | Hirschl, Ronald B. | en_US |
dc.contributor.author | Grotberg, James B. | en_US |
dc.date.accessioned | 2011-11-15T15:57:39Z | |
dc.date.available | 2011-11-15T15:57:39Z | |
dc.date.issued | 2006-01 | en_US |
dc.identifier.citation | Zierenberg, Jennifer R.; Fujioka, Hideki; Suresh, Vinod; Bartlett, Robert H.; Hirschl, Ronald B.; Grotberg, James B. (2006). "Pulsatile flow and mass transport past a circular cylinder." Physics of Fluids 18(1): 013102-013102-15. <http://hdl.handle.net/2027.42/87285> | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/87285 | |
dc.description.abstract | The mass transport of a pulsatile free-stream flow past a single circular cylinder is investigated as a building block for an artificial lung device. The free stream far from the cylinder is represented by a time-periodic (sinusoidal) component superimposed on a steady velocity. The dimensionless parameters of interest are the steady Reynolds number (Re), Womersley parameter (α)(α), sinusoidal amplitude (A)(A), and the Schmidt number (Sc)(Sc). The ranges investigated in this study are 5 ⩽ Re ⩽ 405⩽Re⩽40, 0.25 ⩽ α ⩽ 40.25⩽α⩽4, 0.25 ⩽ A ⩽ 0.750.25⩽A⩽0.75, and Sc = 1000Sc=1000. A pair of vortices downstream of the cylinder is observed in almost all cases investigated. These vortices oscillate in size and strength as αα and AA are varied. For α<αcα<αc, where αc = 0.005A−1.13Re1.33αc=0.005A−1.13Re1.33, the vortex is always attached to the cylinder (persistent); while for α>αcα>αc, the vortex is attached to the cylinder only during part of a time cycle (intermittent). The time-averaged Sherwood number, Sh̄, is found to be largely influenced by the steady Reynolds number, increasing approximately as Re1/2Re1∕2. For α = 0.25α=0.25, Sh̄ is less than the steady (α = 0α=0, A = 0A=0) value and decreases with increasing AA. For α = 2α=2 and α = 4α=4, Sh̄ is greater than the steady value and increases with increasing AA. These qualitatively opposite effects of pulsatility are discussed in terms of quasisteady versus unsteady transport. The maximum increase over steady transport due to pulsatility varies between 14.4% and 20.9% for Re = 10-40Re=10-40, α = 4α=4, and A = 0.75A=0.75. | en_US |
dc.publisher | The American Institute of Physics | en_US |
dc.rights | © The American Institute of Physics | en_US |
dc.title | Pulsatile flow and mass transport past a circular cylinder | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Biomedical Engineering, University of Michigan, Ann Arbor, Michigan 48109–2099 | en_US |
dc.contributor.affiliationum | Department of Surgery, University of Michigan Medical Center, Ann Arbor, Michigan 48109 | en_US |
dc.contributor.affiliationum | Department of Biomedical Engineering, University of Michigan, Ann Arbor, Michigan 48109–2099 | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/87285/2/013102_1.pdf | |
dc.identifier.doi | 10.1063/1.2164475 | en_US |
dc.identifier.source | Physics of Fluids | en_US |
dc.identifier.citedreference | J. B. Zwischenberger, C. M. Anderson, K. E. Cook, S. D. Lick, L. F. Mockros, and R. H. Bartlett, “Development of an implantable artificial lung: Challenges and progress,” ASAIO J. 47, 316 (2001). | en_US |
dc.identifier.citedreference | J. B. Zwischenberger and S. K. Alpard, “Artificial lungs: A new inspiration,” Perfusion 17, 253 (2002). | en_US |
dc.identifier.citedreference | S. D. Lick and J. B. Zwischenberger, “Artificial lung: Bench toward bedside,” ASAIO J. 50, 2 (2004). | en_US |
dc.identifier.citedreference | J. W. Haft, B. P. Griffith, R. B. Hirschl, and R. H. Bartlett, “Results of an artificial-lung survey to lung transplant program directors,” J. Heart Lung Transplant 21, 467 (2002). | en_US |
dc.identifier.citedreference | R. Hilpert, “Warmeabgabe von geheizten Drahten und Rohren im Luftstrom,” Forsch. Geb. Ingenieurwes. 4, 215 (1933). | en_US |
dc.identifier.citedreference | P. H. Vogtlander and C. A. P. Bakker, “An experimental study of mass transfer from a liquid flow to wires and gauzes,” Chem. Eng. Sci. 18, 583 (1963). | en_US |
dc.identifier.citedreference | B. G. V. Zijnen, “Heat transfer from horizontal cylinders to a turbulent air flow,” Appl. Sci. Res., Sect. A 7, 205 (1958). | en_US |
dc.identifier.citedreference | V. V. Gnielinski, “Berechnung mittlerer warme- und stoffubergangskoeffizienten an laminar und turbulent uberstromten einzelkorpern mit hilfe einer einheitlichen gleichung,” Forsch. Ingenieurwes. 41, 145 (1975). | en_US |
dc.identifier.citedreference | V. N. Kurdyumov and E. Fernandez, “Heat transfer from a circular cylinder at low Reynolds numbers,” Trans. ASME, Ser. C: J. Heat Transfer 120, 72 (1998). | en_US |
dc.identifier.citedreference | E. M. Sparrow, J. P. Abraham, and J. C. K. Tong, “Archival correlations for average heat transfer coefficients for non-circular and circular cylinders and for spheres in cross-flow,” Int. J. Heat Mass Transfer 47, 5285 (2004). | en_US |
dc.identifier.citedreference | C. T. Leung, N. W. M. Ko, and K. H. Ma, “Heat-transfer from a vibrating cylinder,” J. Sound Vib. 75, 581 (1981). | en_US |
dc.identifier.citedreference | D. Karanth, G. W. Rankin, and K. Sridhar, “A finite-difference calculation of forced convective heat-transfer from an oscillating cylinder,” Int. J. Heat Mass Transfer 37, 1619 (1994). | en_US |
dc.identifier.citedreference | J. Perwaiz and T. E. Base, “Heat-transfer from a cylinder and finned tube in a pulsating cross-flow,” Exp. Therm. Fluid Sci. 5, 506 (1992). | en_US |
dc.identifier.citedreference | H. J. Sung, K. S. Hwang, and J. M. Hyun, “Experimental study on mass-transfer from a circular-cylinder in pulsating flow,” Int. J. Heat Mass Transfer 37, 2203 (1994). | en_US |
dc.identifier.citedreference | H. M. Badr, “Effect of free-stream fluctuations on laminar forced convection from a straight tube,” Int. J. Heat Mass Transfer 40, 3653 (1997). | en_US |
dc.identifier.citedreference | G. E. Karniadakis, “Numerical simulation of forced-convection heat-transfer from a cylinder in cross-flow,” Int. J. Heat Mass Transfer 31, 107 (1988). | en_US |
dc.identifier.citedreference | R. J. Goldstein and J. Karni, “The effect of a wall boundary-layer on local mass-transfer from a cylinder in cross-flow,” Trans. ASME, Ser. C: J. Heat Transfer 106, 260 (1984). | en_US |
dc.identifier.citedreference | S. Tiwari, G. Biswas, P. L. N. Prasad, and S. Basu, “Numerical prediction of flow and heat transfer in a rectangular channel with a built-in circular tube,” Trans. ASME, Ser. C: J. Heat Transfer 125, 413 (2003). | en_US |
dc.identifier.citedreference | C. H. K. Williamson, “Sinusoidal flow relative to circular-cylinders,” J. Fluid Mech. 155, 141 (1985). | en_US |
dc.identifier.citedreference | P. Justesen, “A numerical study of oscillating flow around a circular-cylinder,” J. Fluid Mech. 222, 157 (1991). | en_US |
dc.identifier.citedreference | H. M. Badr, S. C. R. Dennis, S. Kocabiyik, and P. Nguyen, “Viscous oscillatory flow about a circular-cylinder at small to moderate Strouhal number,” J. Fluid Mech. 303, 215 (1995). | en_US |
dc.identifier.citedreference | C. F. Lange, F. Durst, and M. Breuer, “Momentum and heat transfer from cylinders in laminar crossflow at 10(−4)⇐Re⇐20010(−4)⇐Re⇐200,” Int. J. Heat Mass Transfer 41, 3409 (1998). | en_US |
dc.identifier.citedreference | S. V. Patankar, Numerical Heat Transfer and Fluid Flow (Hemisphere, New York, 1980). | en_US |
dc.identifier.citedreference | J. W. Demmel, S. C. Eisenstat, J. R. Gilbert, X. Y. S. Li, and J. W. H. Liu, “A supernodal approach to sparse partial pivoting,” SIAM J. Matrix Anal. Appl. 20, 720 (1999). | en_US |
dc.identifier.citedreference | H. Watanabe and K. Iizuka, “The influence of dissolved-gases on the density of water,” Metrologia 21, 19 (1985). | en_US |
dc.identifier.citedreference | G. S. Kell, “Effects of isotopic composition, temperature, pressure, and dissolved-gases on density of liquid water,” J. Phys. Chem. Ref. Data 6, 1109 (1977). | en_US |
dc.identifier.citedreference | S. C. R. Dennis and G. Z. Chang, “Numerical solutions for steady flow past a circular cylinder at Reynolds numbers up to 100,” J. Fluid Mech. 42, 471 (1970). | en_US |
dc.identifier.citedreference | A. E. Hamielec and J. D. Raal, “Numerical studies of viscous flow around circular cylinders,” Phys. Fluids 12, 11 (1969). | en_US |
dc.identifier.citedreference | S. J. D. Dalessio and S. C. R. Dennis, “A method of domain decomposition for calculating the steady flow past a cylinder,” J. Eng. Math. 28, 227 (1994). | en_US |
dc.identifier.citedreference | S. J. D. Dalessio and S. C. R. Dennis, “A vorticity model for viscous-flow past a cylinder,” Comput. Fluids 23, 279 (1994). | en_US |
dc.identifier.citedreference | W. M. Deen, Analysis of Transport Phenomena (Oxford University Press, New York, 1998). | en_US |
dc.identifier.citedreference | S. Whitaker, Elementary Heat Transfer Analysis (Pergamon, New York, 1976). | en_US |
dc.identifier.citedreference | A. Zukauskas, “Heat Transfer from Tubes in Crossflow,” in Advances in Heat Transfer, edited by J. P. Hartnett and T. F. Irvine (Academic, New York, 1987), Vol. 18, p. 87. | en_US |
dc.owningcollname | Physics, Department of |
Files in this item
Remediation of Harmful Language
The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.
Accessibility
If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.