Direct numerical simulation of transitional flow in a finite length curved pipe

References

• Dean W. Note on the motion of the fluid in a curved pipe. Philos Mag. 1927;4:208–223. doi: 10.1080/14786440708564324
   Google Scholar
• Taylor G. The criterion for turbulence in curved pipes. Proc Royal Soc. 1929;124(794):243–249. doi: 10.1098/rspa.1929.0111
   Google Scholar
• White CM. Streamline flow through curved pipes. Proc Royal Soc. 1929;123:645–663. doi: 10.1098/rspa.1929.0089
   Google Scholar
• Adler M. Flow in curved pipes. J Appl Math Mech. 1934;14:257–275.
   Google Scholar
• Itö H. Friction factors for turbulent flow in curved pipes. J Comp Fluids. 1959;81:123–134.
   Google Scholar
• Cioncolini A, Santini L. An experimental investigation regarding the laminar to turbulent flow transition in helically coiled pipes. Exp Therm Fluid Sci. 2006;30:367–380. doi: 10.1016/j.expthermflusci.2005.08.005
   Web of Science ®Google Scholar
• Cioncolini A, Santini L. On the laminar to turbulent flow transition in diabatic helically coiled pipe flow. J Exp Therm Fluid Sci. 2006;30:653–661. doi: 10.1016/j.expthermflusci.2006.01.004
   Web of Science ®Google Scholar
• Yanase S, Yoshida T, Yamamoto K. Torsion effect on the flow in a helical pipe. J Fluid Dyn Res. 1994;14:259–273. doi: 10.1016/0169-5983(94)90035-3
   Web of Science ®Google Scholar
• Zabielski L, Mestel AJ. Steady flow in a helically symmetric pipe. J Fluid Mech. 1998;370:297–320. doi: 10.1017/S0022112098002006
   Web of Science ®Google Scholar
• Hüttl TJ, Friedrich R. Direct numerical simulation of turbulent flows in curved and helically coiled pipes. J Comp Fluids. 2001;30:591–605. doi: 10.1016/S0045-7930(01)00008-1
   Web of Science ®Google Scholar
• Friedrich R, Hüttl TJ. Influence of curvature and torsion on turbulent flow in helically coiled pipes. Int J Heat Fluid Flow. 2000;21:345–353. doi: 10.1016/S0142-727X(00)00019-9
   Web of Science ®Google Scholar
• Humphrey J, Webster DR. Traveling wave instability in helical coil flow. J Phys Fluids. 1997;9:407–418. doi: 10.1063/1.869139
   Web of Science ®Google Scholar
• Patankar SV, Pratap VS, Spalding DB. Prediction of turbulent flow in curved pipes. J Fluid Mech. 1975;67:583–595. doi: 10.1017/S0022112075000481
   Web of Science ®Google Scholar
• Hüttl TJ, Manhart M, Wagner C, et al. Direct numerical simulation of incompressible turbulent flows. J Comp Fluids. 2001;30:555–579. doi: 10.1016/S0045-7930(01)00006-8
   Web of Science ®Google Scholar
• Ciofalo M, Di Piazza I. Transition to turbulence in toroidal pipes. J Fluid Mech. 2011;687:72–117. doi: 10.1017/jfm.2011.321
   Web of Science ®Google Scholar
• El Khoury GK, Schlatter PI, Noorani A. Evolution of turbulence characteristics from straight to curved pipes. Int J Heat Fluid Flow. 2013;41:16–26. doi: 10.1016/j.ijheatfluidflow.2013.03.005
   Web of Science ®Google Scholar
• Wu X, Moin P, Adrian RJ, et al. Osborne Reynolds pipe flow: direct simulation from laminar through gradual transition to fully developed turbulence. Proc Natl Acad Sci USA. 2015;112:7920–7924. doi: 10.1073/pnas.1509451112
   PubMed Web of Science ®Google Scholar
• Wu X, Moin P, Wallace J, et al. Transitional-turbulent spots and turbulent-turbulent spots in boundary layers. Proc Natl Acad Sci USA. 2017;114:E5292–E5299. doi: 10.1073/pnas.1704671114
   PubMed Web of Science ®Google Scholar
• Craiem D, Chironi G, Casciaro M, et al. Three-dimensional evaluation of thoracic aorta enlargement and unfolding in hypertensive men using non-contrast computed tomography. J Hum Hypertens. 2013;27:504–509. doi: 10.1038/jhh.2012.69
   PubMed Web of Science ®Google Scholar
• Biswas D, Casey DM, Crowder DC, et al. Characterization of transition to turbulence for blood in a straight pipe under steady flow conditions. J Biomech Eng. 2016;138(7):071001–071001-12. doi: 10.1115/1.4033474
   Web of Science ®Google Scholar
• Lee S, Smith DS, Loth F, et al. Importance of flow division on transition to turbulence within an arteriovenous graft. J Biomech. 2007a;40:981–992. doi: 10.1016/j.jbiomech.2006.03.024
   PubMed Web of Science ®Google Scholar
• Lee S, Smith DS, Loth F, et al. Numerical and experimental simulation of transitional flow in a blood vessel junction. Numer Heat Transfer, Part A Appl. 2007b;51:1–22. doi: 10.1080/10407780600710375
   Web of Science ®Google Scholar
• Lee SE, Lee SW, Fischer PF, et al. Direct numerical simulation of transitional flow in a stenosed carotid bifurcation. J Biomech. 2008;41(11):2551–2561. doi: 10.1016/j.jbiomech.2008.03.038
   PubMed Web of Science ®Google Scholar
• Dwyer HA, Cheer AY, Barakat AI, et al. Unsteady and three-dimensional simulation of blood flow in the human aortic arch. J Biomech Eng. 2002;124:378–387. doi: 10.1115/1.1487357
   PubMed Web of Science ®Google Scholar
• Matsuzawa T. Numerical Simulation in Aortic Arch Aneurysm. In: Gao F, Grundmann R, editors. Rijeka: InTech; 2011. doi: 10.5772/18566.
   Google Scholar
• Hashemi S. Transition to turbulent flow in finite length curved pipe using nek5000 [Electronic thesis or dissertation]. Available from: https://etd.ohiolink.edu/
   Google Scholar
• Available from: http://nek5000.mcs.anl.gov
   Google Scholar
• Wubs FW, Cliffe AK, Doedel E, et al. Numerical bifurcation methods and their application to fluid dynamics: analysis beyond simulation. Commun Comput Phys. 2014;15:1–45. doi: 10.4208/cicp.240912.180613a
   Web of Science ®Google Scholar
• Schatz MF, Tagg RP, Swinney HL, et al. Supercritical transition in plane channel flow with spatially periodic perturbations. Phys Rev Lett. 1991;66:1579–1582. doi: 10.1103/PhysRevLett.66.1579
   PubMed Web of Science ®Google Scholar