THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

Nabil T. M Eldabe

,

Mohamed Y. Abou-Zeid

RADIALLY VARYING MAGNETIC FIELD EFFECT ON PERISTALTIC MOTION WITH HEAT AND MASS TRANSFER OF A NON-NEWTONIAN FLUID BETWEEN TWO CO-AXIAL TUBES

ABSTRACT
The present analysis discusses the effects of thermal-diffusion with thermal radiation, Joule heating and internal heat generation on peristaltic flow of a non-Newtonian fluid obeying Jeffery model. Heat and mass transfer are also taken into consideration, the flow is between two co-axial tubes under the effect of radially varying magnetic field. The inner tube is uniform and at rest, while the outer tube is flexible with sinusoidal wave traveling. The problem is modulated mathematically by a system of partial differential equations which describes the equations of momentum, heat and mass transfer. These equations are solved analytically under the assumptions of long wave length and low-Reynolds number in non-dimensional form. The solutions are obtained as a functions of physical parameters of the problem. The radially varying magnetic field effect on the temperature and concentration distributions is analyzed and It is shown that the increase of Hartman number tends to reduce the temperature, while it increases the concentration.
KEYWORDS
non-Newtonian fluid, peristaltic flow, magnetohydrodynamic, heat and mass transfer
PAPER SUBMITTED: 2016-04-09
PAPER REVISED: 2016-11-18
PAPER ACCEPTED: 2016-11-26
PUBLISHED ONLINE: 2016-12-03
DOI REFERENCE: https://doi.org/10.2298/TSCI160409292E
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Issue 6, PAGES [2449 - 2458]
REFERENCES
  1. Eldabe, N.T., Hassan, M.A., Abou-zeid, M.Y., "Wall properties effect on the peristaltic motion of a coupled stress fluid with heat and mass transfer through a porous medium," J. Eng. Mech. 142 (2015), 04015102
  2. Akram, S., Nadeem, S., Hanif, M., Numerical and analytical treatment on peristaltic flow of Williamson fluid in the occurrence of induced magnetic field, J. Magn. Magn. Mater. 346 (2013), pp. 142-151
  3. Akbar, N.S., Raza, M. Ellahi, R., Peristaltic flow with thermal conductivity of H2O + Cu nanofluid and entropy generation, Results Phys. 5 (2015), pp. 115-124
  4. Nadeem, S. Akbar, N.S., Peristaltic flow of Walter's B fluid in a uniform inclined tube, J. Biorheology, 24 (2010), pp. 22-28
  5. Ramesh, K., Devakar, M., Magnetohydrodynamic peristaltic transport of couple stress fluid through porous medium in an inclined asymmetric channel with heat transfer," J. Magn. Magn. Mater. 394, (
  6. pp. 335-348
  7. Eldabe, N.T., Abou-zeid, M.Y., Magnetohydrodynamic peristaltic flow with heat and mass transfer of micropolar biviscosity fluid through a porous medium between two co-axial tubes, Arab. J. Sci. Eng. 39 (2014), pp. 5045-5062
  8. Hayat, T., Nisar, Z., Ahmed, B., Yasmin, H., Simultaneous effects of slip and wall properties on MHD peristaltic motion of nanofluid with Joule heating, J. Magn. Magn. Mater. 395 (2015), pp. 48-58
  9. Abou-zeid, M.Y., Homotopy perturbation method to MHD non-Newtonian nanofluid flow through a porous medium in eccentric annuli with peristalsis, Thermal Sci. (In press) DOI:10.2298/TSCI150215079A (2015).
  10. Ellahi, R., Hussain, F., Simultaneous effects of MHD and partial slip on peristaltic flow of Jeffery fluid in a rectangular duct, J. Magn. Magn. Mater. 393 (2015), pp. 284-292
  11. Ellahi, R., Bhatti, M.M., Pop, I., Effects of Hall and ion slip on MHD peristaltic flow of Jeffrey fluid in a non-uniform rectangular duct, Int. J. Numer Methods Heat Fluid Flow, 26 (2016), pp. 1802-1820
  12. Ellahi, R., Bhatti, M.M., Fetecau, C., Vafai, K., Peristaltic flow of couple stress fluid in a non-uniform rectangular duct having compliant walls, Commun. Theor. Phys. 65 (2016), pp. 66-72
  13. Khan A.A., Muhammad, S., Ellahi, R., Zia, Q.M.Z., Bionic study of variable viscosity on MHD peristaltic flow of Pseudoplastic fluid in an asymmetric channel, J. Magn. 21 (2016), pp. 273-280
  14. Hines, A.L., Maddox, R.N., Mass transfer fundamentals and application, Prentice Hall, New Jersey, 1985
  15. Akbar, N.S., Raza, M., Ellahi, R., Copper oxide nanoparticles analysis with water as base fluid for peristaltic flow in permeable tube with heat transfer, Comput. Methods Programs Biomed. 130 (2016), pp. 22-30
  16. Vafai, K., Khan, A.A., Sajjad, S., Ellah, R., The study of Hall current on peristaltic motion of a non-Newtonian fluid with heat transfer and wall properties, Z. Naturforsch A. 70 (2015), pp. 281-293
  17. Akbar, N.S., Raza, M., Ellahi, R., Influence of induced magnetic field and heat flux with the suspension of carbon nanotubes for the peristaltic flow in a permeable channel, J. Magn. Magn. Mater. 381 (2015), pp. 405-415
  18. Akbar, N.S., Nadeem, S., Characteristics of heating scheme and mass transfer on the peristaltic flow for an Eyring-Powell fluid in an endoscope, Int. J. Heat Mass Transfer, 55 (2012), pp. 375-383
  19. Abd-Alla, A.M., Abo-Dahab, S.M., El-Shahrany, H.D., Influence of heat and mass transfer, initial stress and radially varying magnetic field on the peristaltic flow in an annulus with gravity field, J. Magn. Magn. Mater. 363 (2015), pp. 166-178
  20. Akbar, N.S., Raza, M., Ellahi, R., Peristaltic flow with thermal conductivity of H2O + Cu nanofluid and entropy generation, Results Phys. 5 (2015), pp. 115-124
  21. Ellahi, R., Bhatti, M.M., Vafai, K., Effects of heat and mass transfer on peristaltic flow in a non-uniform rectangular duct, Int. J. Heat Mass Transfer, 71 (2014), pp. 706-719
  22. Abd-Alla, A.M., Abo-Dahab, S.M., Kilicman, A., Peristaltic flow of a Jeffrey fluid under the effect of radially varying magnetic field in a tube with an endoscope, J. Magn. Magn. Mater. 384(2015), pp. 79-86
  23. Rohsenow, W.M., Hartnett, J.P., Cho, Y.I., Handbook of heat transfer, McGraw-Hill Companies, 1998
PDF VERSION [DOWNLOAD]
Radially varying magnetic field effect on peristaltic motion with heat and mass transfer of a non-Newtonian fluid between two co-axial tubes

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence