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Hypothetical analysis for peristaltic transport of metallic nanoparticles in an inclined annulus with variable viscosity

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Języki publikacji
EN
Abstrakty
EN
The main objective of this article is to present a mathematical model for peristaltic transport in an inclined annulus. In this analysis, two-dimensional flow of a viscous nanofluid is observed in an inclined annulus with variable viscosity. Copper as nanoparticle with blood as its base fluid has been considered. The inner tube is unifom or rigid, while the outer tube takes a sinusoidal wave. Governing equations are solved under the well-known assumptions of low Reynolds number and long-wavelength. Exact solutions have been established for both velocity and nanoparticle temperature. The features of the peristaltic motion are explored by plotting graphs and discussed in detail.
Rocznik
Strony
447--454
Opis fizyczny
Bibliogr. 16 poz., il., tab., wykr., rys.
Twórcy
autor
  • Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000 Pakistan
autor
  • Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000 Pakistan
Bibliografia
  • [1] S.U.S. Choi, Enhancing thermal conductivity of fluids with nanoparticles, in: D.A. Siginer, H.P. Wang (Eds.), Developments and Applications of Non-Newtonian Flows, ASME, New York. 66, 99 (1995).
  • [2] A. V Kuznetsov, A. D. Nield, Natural convective boundary-layer flow of a nanofluid past a vertical plate, Int. J. Thermal Sci. 49, 243‒247 (2010).
  • [3] K. Sadik and A. Pramuanjaroenkij, Review of convective heat transfer enhancement with nanofluids, Int. J. Heat Mass Trans. 52, 3187‒3196 (2009).
  • [4] S. Nadeem, H. Sadaf, Theoretical analysis of Cu-blood nanofluid for metachronal wave of cilia motion in a curved channel. IEEE Tran. Nanobio., 14, 447‒454 (2015).
  • [5] R. Ellahi, M. Razab, K. Vafaia, Series solutions of non-Newtonian nanofluids with Reynold՚s model model and Vogel՚s model by means of the homotopy analysis method, Math and Comp Modl. 55, 1876‒1891 (2012).
  • [6] N. S. Akbar, A. W. Butt, CNT suspended nanofluid analysis in a flexible tube with ciliated walls. Eur. Phy. J. Plus. 129, 174 (2014).
  • [7] S. Akram and S. Nadeem, Signifcance of Nanofluid and Partial Slip on the Peristaltic Transport of a Non-Newtonian Fluid with Different Wave Forms. IEEE Tran. Nanotech., 13, 375‒385(2014).
  • [8] M. H. M. Yasin, A. Md. Norihan, N. Roslinda, I. Fudziah and P. Ioan, Mixed Convection Boundary Layer Flow Embedded in a Thermally Stratifled Porous Medium Saturated by a Nanofluid, Adva. Mech. Eng. 121943 (2013).
  • [9] S. Nadeem, H. Sadaf, Trapping study of nanofluids in an annulus with cilia, Aip Ad- vances. 5, 127204 (2015).
  • [10] R. Ellahi, The effects of MHD and temperature dependent viscosity on the flow of non- Newtonian nanofluid in a pipe. Analytical solutions. Appl. Math. Modl. 37, 1451‒1467 (2013).
  • [11] S. Nadeem, H. Sadaf and A. M. Sadiq, Analysis of Nanoparticles on Peristaltic Flow of Prandtl Fluid Model in an Endoscopy, Current Nanosci. 10, 709‒721(2014).
  • [12] T. W. Latham, Fluid motion in a peristaltic pump, M.Sc. Thesis, Massachusetts Institute of Technology, Cambridge, 1966.
  • [13] A. H. Shapiro, M. Y. Ja*erin, S. L.Weinberg, Peristaltic pumping with long wavelengths at low Reynolds number, J. Fluid. Mech. 37, 799- 825(1969).
  • [14] S. Nadeem, H. Sadaf, N. S. Akbar, Analysis of peristaltic flow for a Prandtl fluid model in an endoscope. J. Power Tech. 94, 1‒11 (2014).
  • [15] S. Kh. Mekheimer, Y. A. Elmaboud, The influence of heat transfer and magnetic field on peristaltic transport of a Newtonian fluid in a vertical annulus: Application of an endoscope. Physics Letters A 372, 1657‒1665 (2008).
  • [16] S. Nadeem, N. S. Akbar, Influence of temperature dependent viscosity on peristaltic transport of a newtonian fluid: Application of an endoscope, Appl. Math. Comp. 216, 3606‒3619(2010).
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-a3b79abc-af37-4fe4-ba30-f3605edb5d6a
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