THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Safia Akram

,

Farkhanda Afzal

,

Qamar Afzal

IMPACT OF NANOFLUIDS AND MAGNETIC FIELD ON THE PERISTALTIC TRANSPORT OF A COUPLE STRESS FLUID IN AN ASYMMETRIC CHANNEL WITH DIFFERENT WAVE FORMS

ABSTRACT
The present article deals with the effects of nanoparticles and magnetic field on the peristaltic flow of a couple stress fluid in an asymmetric channel with different wave forms. Mathematical modelling for 2-D and two directional flows of a couple stress fluid along with nanofluid are first given and then simplified under the assumptions of long wavelength and low Reynolds number approximation. After invoking these approximations we get coupled non-linear differential equations. The exact solutions of temperature distribution, the nanoparticle concentration, velocity, stream function and pressure gradient are calculated. Finally graphical results of various physical parameters of interest are discussed to examine the behavior of flow quantities.
KEYWORDS
Nano fluid particles, peristaltic flow, couple stress fluid, magnetic field, asymmetric channel, different wave forms
PAPER SUBMITTED: 2019-07-20
PAPER REVISED: 2019-08-17
PAPER ACCEPTED: 2019-09-05
PUBLISHED ONLINE: 2019-10-06
DOI REFERENCE: https://doi.org/10.2298/TSCI190720389A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2020, VOLUME 24, ISSUE Issue 2, PAGES [1407 - 1422]
REFERENCES
  1. S. U. S Choi, Enhancing thermal conductivity of fluid with nanoparticles.developments and Applications of non-Newtonian Flow, ASME FED 66(231)99-105.
  2. A. Aziz, W.A. Khan, I. Pop, Free convection boundary layer flow past a horizontal flat plate embedded in porous medium filled by nanofluid containing gyrotactic microorganisms, International Journal of Thermal Sciences 56(2012)48-57.
  3. A. Zeeshan, M. M. Bhatti, Nouman Ijaz, A. O. Bég, A. Kadir, Biologically inspired transport of solid spherical nanoparticles in an electrically-conducting viscoelastic fluid with heat transfer, Thermal Science 00(2018)324-324.
  4. A. Aziz, W.A. Khan, Natural convective boundary layer flow of a nanofluid past a convectively heated vertical plate, International Journal of Thermal Sciences 52(2012)83-90.
  5. H. Waqas, Sami Ullah Khan, M. Hassan, M.M. Bhatti, M. Imran, Analysis on the bioconvection flow of modified second-grade nanofluid containing gyrotactic microorganisms and nanoparticles, Journal of Molecular Liquids 291(2019)111231.
  6. Safia Akram, S. Nadeem, Consequence of nanofluid on Peristaltic transport of a hyperbolic Tangent fluid model in the occurrence of apt (tending) magnetic field, Journal of Magnetism and Magnetic Materials 358-359(2014)183-19.
  7. Safia Akram, S. Nadeem, Significance of nanofluid and partial slip on the peristaltic transport of a Jeffrey fluid model in an asymmetric channel with different wave forms, IEEE Transactions on Nanotechnology 13(2014)375-385.
  8. Safia Akram, Effects of nanofluid on peristaltic flow of a Carreau fluid model in an inclined magnetic field, Heat Transfer Asian Research 43(2014)368-383.
  9. R. Ellahi, A. Zeeshan, F. Hussain, A. Asadollahi, Peristaltic Blood Flow of Couple Stress Fluid suspended with nanoparticles under the influence of chemical reaction and activation Energy, Symmetry 11(2019)276.
  10. N. S. Akbar, S. Nadeem, Endoscopic Effects on Peristaltic Flow of a Nanofluid, Communication in Theortical Physics 56(2011)761-768.
  11. T. W. Latham, Fluid motion in a peristaltic pump, M.Sc. Thesis, MIT, Cambridge, MA. (1966) O. Eytan, D Elad, Analysis of Intra-Uterine fluid motion induced by uterine contractions, Bull. Math. Bio. 61(1999)221-238 .
  12. M. M. Rashidi, Zhigang Yang, M. M. Bhatti, Munawwar Ali Abbas, Heat and mass transfer analysis on MHD blood flow of Casson fluid model due to peristaltic wave, Thermal Science 22(2018)2439-2448.
  13. A. Riaz , A. Zeeshan , S. Ahmad , A. Razaq, M. Zubair, Effects of external magnetic field on Non-newtonian two phase fluid in an annulus with peristaltic pumping, Journal of Magnetics 24(2019)62-69.
  14. M. M. Bhatti, A. Zeeshan, R. Ellahi, O. Anwar Bég, A. Kadir, Effects of coagulation on the two-phase peristaltic pumping of magnetized prandtl biofluid through an endoscopic annular geometry containing a porous medium, Chinese Journal of Physics 58(2010)222-234.
  15. R. Ellahi, S U Rahman, S. Nadeem, K. Vafai, A Mathematical Study of Non-Newtonian Micropolar Fluid in Arterial Blood Flow through Composite Stenosis, Journal of Applied Mathematics & Information Sciences 8(2014)1-7.
  16. R. Ellahi, A. Riaz, S. Sohail, M. Mushtaq, Series Solutions of Magnetohydrodynamic Peristaltic Flow of a Jeffrey Fluid in Eccentric Cylinders, Journal of Applied Mathematics & Information Sciences 7 (2013)1441-1449.
  17. O. Eytan, A. J. Jaffa, D. Elad, Peristaltic flow in a tapered channel: application to embryo transport within the uterine cavity, Medical Engineering. Physics 23(2001)473-482.
  18. Safia Akram, S. Nadeem, Anwar Hussain, Effects of heat and mass transfer on peristaltic flow of a Bingham fluid in the presence of inclined magnetic field and channel with different wave forms, Journal of Magnetism and Magnetic Materials 362(2014)184-192.
  19. Safia Akram, Effects of slip and heat transfer on a peristaltic flow of a Carreau fluid in a vertical asymmetric channel, Computational Mathematics and Mathematical Physics 54(2014)1886-190.
  20. S. Nadeem, Safia Akram, Noreen Sher Akbar, Simulation of heat and chemical reactions on peristaltic flow of a Williamson fluid in an inclined asymmetric channel, Iranian journal of chemistry and chemical engineering 32(2013)93-107.
  21. S. Nadeem, Safia Akram, Heat transfer in a peristaltic flow of MHD fluid with partial slip, Communications in Nonlinear Science and Numerical Simulation 15(2010)312-321.
  22. Safia Akram, S. Nadeem, M. Hanif, Numerical and analytical treatment on peristaltic flow of Williamson fluid in the occurrence of induced magnetic field, Journal of Magnetism and Magnetic Materials. 346(2013)142-151.
  23. A. Yldrm, Sefa Anl Sezer, Effects of partial slip on the peristaltic flow of a MHD Newtonian fluid in an asymmetric channel, Mathematical and Computer Modeling 52(2010)618-625.
  24. M.H. Haroun, Non-linear peristaltic flow of a fourth grade fluid in an inclined asymmetric channel, Computer Material Science 39(2007)324-333.
  25. M.H. Haroun, Effect of Deborah number and phase difference on peristaltic transport of a third order fluid in an asymmetric channel, Communications in Nonlinear Science and Numerical Simulation 12(2007)1464-1480.
  26. S. Srinivas, R. Gayathri, M. Kothandapani, Mixed convective heat and mass transfer in an asymmetric channel with peristalsis, Communications in Nonlinear Science and Numerical Simulation 16(2011)1845-1862.
  27. M. Kothandapani, S. Srinivas, Non-linear peristaltic transport of a Newtonian fluid in an inclined asymmetric channel through a porous medium, Physics Letters A 372(2008)1265-1276.
  28. S. Nadeem, S. Akram, Magnetohydrodynamic peristaltic flow of a hyperbolic tangent fluid in a vertical asymmetric channel with heat transfer, Acta Mechanica and Sinica 27(2011)237-250.
  29. M. Kothandapani, S. Srinivas, Peristaltic transport of a Jeffrey fluid under the effect of magnetic field in an asymmetric channel, International Journal of Non-Linear Mechanics 43(2008)915-924.
  30. A. Riaz, H. A. Al-Olayan, A. Zeeshan, A. Razaq, M. M. Bhatti, Mass Transport with Asymmetric Peristaltic Propulsion Coated with Synovial Fluid, Coatings 8(2018)407
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Impact of nanofluids and magnetic field on the peristaltic transport of a couple stress fluid in an asymmetric channel with different wave forms

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