Abstract
Peristalsis of Carreau-Yasuda fluid is investigated. Analysis is carried out in the presence of velocity slip and convective boundary conditions. Thermal conductivity of the fluid is taken to be temperature dependent. Lubrication analysis is used in the formulation of the problem. Resulting nonlinear system of equations is solved numerically. Impact of embedded parameters on the quantities of interest is examined through graphs and tables. Comparison of the behavior of the Carreau-Yasuda, Carreau and Newtonian fluid models is presented. Results show that the heat transfer rate at the wall for the Carreau fluid model is large when compared with the Newtonian or the Carreau-Yasuda fluid model. Also the heat transfer rate at the wall decreases with increase in the velocity slip and variable thermal conductivity parameters. Further, an increase in the Biot number reduces the fluid temperature by a considerable amount.
Similar content being viewed by others
References
ABD ELMABOUD Y, MEKHEIMER K S. Non-linear peristaltic transport of a second-order fluid through a porous medium [J]. Applied Mathematical Modelling, 2011, 35: 2695–2710.
MEKHEIMER K S. Effect of the induced magnetic field on peristaltic flow of a couple stress fluid [J]. Physics Letters A, 2008, 372: 4271–4278.
MEKHEIMER K S, ELKOT M A. Influence of magnetic field and Hall currents on blood flow through a stenotic artery [J]. Applied Mathematics and Mechanics, 2008, 29: 1093–1104.
SEZER S A, YILDIRIM A. A numerical treatment for the solution of the hydromagnetic peristaltic flow of a bio-fluid with variable viscosity in a circular cylindrical tube [J]. International Journal for Numerical Methods in Biomedical Engineering, 2010, 26: 1503–1514.
TRIPATH D. Numerical study on peristaltic flow of generalized burgers’ fluids in uniform tubes in the presence of an endoscope [J]. International Journal for Numerical Methods in Biomedical Engineering, 2011, 27: 1812–1828.
HAYAT T, ABBASI F M. Variable viscosity effects on the peristaltic motion of a third order fluid [J]. International Journal for Numerical Methods in Fluids, 2011, 67: 1500–1515.
GAD N S. Effects of Hall current on interaction of pulsatile and peristaltic transport induced flows of a particle-fluid suspension [J]. Applied Mathematics and Computation, 2011, 217: 4313–4320.
MEKHEIMER K S, ABD E LMABOUD Y, ABDELLATEEF A I. Particulate suspension flow induced by sinusoidal peristaltic waves through eccentric cylinders: thread annular [J]. International Journal of Biomathematics, 2013, 6: 1350026.
MEKHEIMER K S, KOMY S R, ABDELSALAMD S I. Simultaneous effects of magnetic field and space porosity on compressible Maxwell fluid transport induced by a surface acoustic wave in a micro channel [J]. Chinese Physics B, 2013, 22: 124702.
HAYAT T, ABBASI F M, AHMAD B, ALSAEDI A. Peristaltic transport of Carreau-Yasuda fluid in a curved channel with slip effects [J]. PLOS ONE, 2014, 9(4): e95070.
ABBASI F M, HAYAT T, ALSAEDI A. Numerical analysis for MHD peristaltic transport of Carreau-Yasuda fluid in a curved channel with Hall effects [J]. Journal of Magnetism and Magnetic Materials, 2015, 382: 104–110.
HAYAT T, ABBASI F M, OBAIDAT S. Peristaltic motion with Soret and Dufour effects [J]. Magnetohydrodynamics, 2011, 47: 295–302.
HAYAT T, ABBASI F M, HENDI A A. Heat transfer analysis for peristaltic mechanism in variable viscosity fluid [J]. Chinese Physics Letters, 2011, 28: 044701.
MUSTAFA M, ABBASBANDY S, HINA S, HAYAT T. Numerical investigation on mixed convective peristaltic flow of fourth grade fluid with Dufour and Soret effects [J]. Journal of Taiwan Institute for Chemical Engineers, 2014, 45: 308–316.
TRIPATHI D. A mathematical model for swallowing of food bolus through the oesophagus under the influence of heat transfer [J]. International Journal of Thermal Science, 2012, 51: 91–101.
MEKHEIMER K S, ABD E LMABOUD Y. Simultaneous effects of variable viscosity and thermal conductivity on peristaltic flow in a vertical asymmetric channel [J]. Canadian Journal of Physics, 2014, 92: 1541–1555.
ABBASI F M, HAYAT T, ALSAEDI A, AHMED B. Soret and Dufour effects on peristaltic transport of MHD fluid with variable viscosity [J]. Applied Mathematics and Information Sciences, 2014, 8: 211–219.
ABBASI F M, ALSAEDI A, HAYAT T. Mixed convective heat and mass transfer analysis for peristaltic transport in an asymmetric channel with Soret and Dufour effects [J]. Journal of Central South University, 2014, 21: 4585–4591.
ABBASI F M, ALSAEDI A, HAYAT T. Peristaltic flow in an asymmetric channel with convective boundary conditions and Joule heating [J]. Journal of Central South University, 2014, 21: 1411–1416.
HAYAT T, ABBASI F M, ALSAEDI A, ALSAADI F. Hall and Ohmic heating effects on the peristaltic transport of Carreau-Yasuda fluid in an asymmetric channel [J]. Z Naturforsch, 2014, 69: 43–51.
ABBASI F M, HAYAT T, AHMAD B, CHEN G Q. Peristaltic motion of non-Newtonian nanofluid in an asymmetric channel [J]. Z Naturforsch, 2014, 69a: 451–461.
HAYAT T, ABBASI F M, AHMAD B, ALSAEDI A. MHD mixed convection peristaltic flow with variable viscosity and thermal conductivity [J]. Sains Malaysiana, 2014, 43: 1583–1590.
ABBASI F M, HAYAT T, AHMAD B. Peristaltic transport of copper-water nanofluid saturating porous medium [J]. Physica E: Low-dimensional Systems and Nanostructures, 2015, 67: 47–53.
ABBASI F M, HAYAT T, ALSAEDI A. Peristaltic transport of magneto-nanoparticles submerged in water: Model for drug delivery system [J]. Physica E: Low-dimensional Systems and Nanostructures, 2015, 68: 123–132.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Abbasi, F.M., Hayat, T. & Ahmad, B. Numerical analysis for peristaltic transport of Carreau-Yasuda fluid with variable thermal conductivity and convective conditions. J. Cent. South Univ. 22, 4467–4475 (2015). https://doi.org/10.1007/s11771-015-2994-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11771-015-2994-8