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Original articles

Peristaltic transport of a power-law fluid in an elastic tube

ORCID Icon, ORCID Icon & ORCID Icon
Pages 687-698 | Received 14 May 2018, Accepted 13 Jul 2018, Published online: 06 Aug 2018

References

  • Shapiro AH, Jaffrin MY, Weinberg SL. Peristaltic pumping with long wavelengths at low Reynolds number. J Fluid Mech. 1969;37:799–825. doi: 10.1017/S0022112069000899
  • Radhakrishnamacharya G. Long wavelength approximation to peristaltic motion of a power law fluid. Rehol Acta. 1982;21:30–35. doi: 10.1007/BF01520703
  • Shukla JB, Gupta SP. Peristaltic transport of a power-law fluid with variable consistency. J Biomech Eng. 1982;104:182–186. doi: 10.1115/1.3138346
  • Srivastava LM, Srivastava VP. Peristaltic transport of a power-law fluid: application to the ductus efferentes of the reproductive tract. Rheol Acta. 1988;27:428–433. doi: 10.1007/BF01332164
  • Rao AR, Mishra M. Peristaltic transport of a power-law fluid in a porous tube. J Non-Newtonian Fluid Mech. 2004;121:163–174. doi: 10.1016/j.jnnfm.2004.06.006
  • Vajravelu K, Sreenadh S, Viswanatha Reddy G. Helical flow of a power-law fluid in a thin annulus with permeable walls. Int J Non-linear Mech. 2006;41:761–765. doi: 10.1016/j.ijnonlinmec.2006.03.001
  • Hayat T, Ali N. On mechanism of peristaltic flows for power-law fluids. Physica A. 2006;371:188–194. doi: 10.1016/j.physa.2006.03.059
  • El Hakeem A, El Naby A, El Misery AEM, et al. Hydrodynamic flow of generalized Newtonian fluid through a uniform tube with peristalsis. Appl Math Comp. 2006;173:856–871. doi: 10.1016/j.amc.2005.04.020
  • Srinivas S, Kothandapani M. The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls. Appl Math Comp. 2009;213:197–208. doi: 10.1016/j.amc.2009.02.054
  • Roach MR, Burton AC. The reason for the shape of distensibility curves of arteries. Can J Biochem Physiol. 1957;37:557–570. doi: 10.1139/y59-059
  • Whirlow DK, Rouleau WT. Periodic flow of a viscous liquid in a thick-walled elastic tube. Bull Math Biophy. 1965;27:355–370. doi: 10.1007/BF02478411
  • Wang DM, Tarbell JM. Nonlinear analysis of flow in an elastic tube (artery): steady streaming effects. J Fluid Mech. 1992;239:341–358. doi: 10.1017/S0022112092004439
  • Sankar A, Jayaraman G. Non-linear analysis of oscillatory flow in the annulus of an elastic tube: application to catheterized artery. Phys Fluids. 2001;13:2901–2911. doi: 10.1063/1.1389285
  • Johnston BM, Johnston PR, Corney S, et al. Non-Newtonian blood flow in human right coronary arteries: steady state simulations. J Bio Mech. 2004;37:709–720.
  • Sharma GC, Jain M, Kumar A. Performance modeling and analysis of blood flow in elastic arteries. Math Comput Model. 2004;39:1491–1499. doi: 10.1016/j.mcm.2004.07.006
  • Pandey SK, Chaube MK. Peristaltic transport of a visco-elastic fluid in a tube of non-uniform cross section. Math Computer Model. 2010;52:501–514. doi: 10.1016/j.mcm.2010.03.047
  • Takagi D, Balmforth J. Peristaltic pumping of viscous fluid in an elastic tube. J Fluid Mech. 2011;672:196–218. doi: 10.1017/S0022112010005914
  • Vajravelu K, Sreenadh S, Devaki P, et al. Mathematical model for a Herschel-Bulkley fluid flow in an elastic tube. Cent Eur J Phys. 2011;9:1357–1365.
  • Sochi T. The flow of Newtonian and power law fluids in elastic tubes. Int J Non Linear Mech. 2014;67:245–250. doi: 10.1016/j.ijnonlinmec.2014.09.013
  • Vajravelu K, Sreenadh S, Devaki P, et al. Peristaltic transport of a Herschel-Bulkley fluid in an elastic tube. Heat Transf-Asian Res. 2015;44:585–598. doi: 10.1002/htj.21137
  • Chaube MK, Tripathi D, Anwar Beg O, et al. Peristaltic creeping flow of power law physiological fluids through a non-uniform channel with slip effect. Appl Bionics Biomech. 2015. doi: 10.1155/2015/152802
  • Ali N, Javid K, Sajid M, et al. Numerical simulation of peristaltic flow of a biorheological fluid with shear-dependent viscosity in a curved channel. Comput Methods Biomech Biomed Engin. 2016;19:614–627. doi: 10.1080/10255842.2015.1055257
  • Vajravelu K, Sreenadh S, Devaki P, et al. Peristaltic pumping of a Casson fluid in an elastic tube. J Appl Fluid Mech. 2016;9:1897–1905. doi: 10.18869/acadpub.jafm.68.235.24695
  • Prakash J, Ramesh K, Tripathi D, et al. Numerical simulation of heat transfer in blood flow altered by electroosmosis through tapered micro-vessels. Microvasc Res.. 2018;118:162–172. doi: 10.1016/j.mvr.2018.03.009
  • Chaube MK, Yadav A, Tripathi D, et al. Electroosmotic flow of biorheological micropolar fluids through microfluidic channels. Korea-Australia Rheol J. 2018;30:89–98. doi: 10.1007/s13367-018-0010-1
  • Prakash J, Tripathi D. Electroosmotic flow of Williamson ionic nanoliquids in a tapered microfluidic channel in presence of thermal radiation and peristalsis. J Mol Liq. 2018;256:352–371. doi: 10.1016/j.molliq.2018.02.043
  • Batti MM, Zeeshan A, Tripathi D, et al. Thermally developed peristaltic propulsion of magnetic solid particles in biorheological fluids. Indian J Phys. 2018;92:423–430. doi: 10.1007/s12648-017-1132-x
  • Tripathi D, Jhohar R, Beg OA, et al. Electro osmosis modulated peristaltic biorheological flow through an asymmetric microchannel: mathematical model. Maccanica. 2018;53:20179–22090.
  • Tripathi D, Borode A, Jhohar R, et al. Computer modelling of electro-osmotically augmented three-layered microvascular peristaltic blood flow. Microvasc Res.. 2017;114:65–83. doi: 10.1016/j.mvr.2017.06.004
  • Bird RB, Stewart WE, Lightfoot EN. Transport phenomenon. New York: Wiley; 1960.
  • Rubinow SI, Keller JB. Flow of a viscous fluid through an elastic tube with applications to blood flow. J Theor Biol. 1972;35:299–313. doi: 10.1016/0022-5193(72)90041-0
  • Flaherty JE, Keller JB, Rubinow SI. Post buckling behavior of elastic tubes and rings with opposite sides in contact. SIAM J Appl Math. 1972;23:446–455. doi: 10.1137/0123047
  • Cheremisinoff NP. Encyclopedia of fluid mechanic. Rheology, and non-Newtonian flows. Houston (TX): Gulf Publishing Co.; 1988.