Inscrição na biblioteca: Guest
Portal Digital Begell Biblioteca digital da Begell eBooks Diários Referências e Anais Coleções de pesquisa
Heat Transfer Research
Fator do impacto: 0.404 FI de cinco anos: 0.8 SJR: 0.264 SNIP: 0.504 CiteScore™: 0.88

ISSN Imprimir: 1064-2285
ISSN On-line: 2162-6561

Volume 50, 2019 Volume 49, 2018 Volume 48, 2017 Volume 47, 2016 Volume 46, 2015 Volume 45, 2014 Volume 44, 2013 Volume 43, 2012 Volume 42, 2011 Volume 41, 2010 Volume 40, 2009 Volume 39, 2008 Volume 38, 2007 Volume 37, 2006 Volume 36, 2005 Volume 35, 2004 Volume 34, 2003 Volume 33, 2002 Volume 32, 2001 Volume 31, 2000 Volume 30, 1999 Volume 29, 1998 Volume 28, 1997

Heat Transfer Research

DOI: 10.1615/HeatTransRes.2019025622
pages 1539-1560


A. Riaz
University of Education, Lahore Jauharabad Campus, Jauharabad, Pakistan
Rahmat Ellahi
Center for Modeling and Computer Simulation, Research Institute, King Fahd University of Petroleum & Minerals, Dhahran-31261, Saudi Arabia; Department of Mathematics, Faculty of Basic and Applied Sciences, IIU, Islamabad, Pakistan
Muhammad Mubashir Bhatti
College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong, 266590, China; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
Marin Marin
Department of Mathematics and Computer Science, Transilvania University of Brasov, 500093 Brasov, Romania


The heat transfer process in a human body (i.e., tissues) is a complicated process consisting of heat transfer in the pores of membranes, as perfusion of an arterial-venous blood, heat transfer in tissues, generation of metabolic heat, emission of electromagnetic radiation from cell phones, and external interaction. Considering the human thermoregulation system and ther-motherapy, the work is aimed at describing the impact of bioheat and mass transfer in peristaltic motion of an Eyring-Powell ("non-Newtonian") fluid in three-dimensional rectangular cross section. Compliant boundary walls are taken into account. Linear momentum and concentration laws in mass and energy equations have been used to model the governing flow. Firstly, mathematical modeling is performed, and then solutions are obtained by a perturbation technique. A lubrication approach (i.e., long wavelength and low Reynolds number) has been used to simplify the modeled equations. The analytical results of all the novel parameters are presented mathematically and discussed graphically. Trapping phenomena are also analyzed by drawing streamlines. Moreover, it is now a well-established fact that mass and bioheat transfer problems in the presence of a chemical reaction are substantial in multiple processes occurring in geothermal reservoirs, thermal insulation, evaporation, drying, enhanced oil recovery, and cooling of nuclear reactors. The results obtained for the flow of Eyring-Powell fluid model reveal many engrossing behaviors that provide a further dimension to study the mass and bioheat transfer problems.


  1. Abdelsalam, S.I. and Bhatti, M.M., The Study of Non-Newtonian Nanofluid with Hall and Ion Slip Effects on Peristaltically Induced Motion in a Nonuniform Channel, RSC Adv., vol. 8, no. 15, pp. 7904-7915, 2018.

  2. Akbar, N.S., MHD Eyring-Prandtl Fluid Flow with Convective Boundary Conditions in Small Intestines, Int. J. Biomath., vol. 6, no. 05, p. 1350034, 2013.

  3. Akbar, N.S. and 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 Transf., vol. 55, nos. 1-3, pp. 375-383, 2012.

  4. Akram, S. and Nadeem, S., Influence of Induced Magnetic Field and Heat Transfer on the Peristaltic Motion of a Jeffrey Fluid in an Asymmetric Channel: Closed Form Solutions, J. Magn. Magn. Mater., vol. 328, pp. 11-20, 2013.

  5. Bhatti, M., Ellahi, R., and Zeeshan, A., Study of Variable Magnetic Field on the Peristaltic Flow of Jeffrey Fluid in a Nonuniform Rectangular Duct Having Compliant Walls, J. Mol. Liq, vol. 222, pp. 101-108, 2016a.

  6. Bhatti, M.M., Rashidi, M.M., and Abbas, M.A., Entropy Generation in Heat and Mass Transfer on Blood Flow for Ellis Fluid Model, Heat Transf. Res., vol. 49, no. 8, pp. 747-760, 2018.

  7. Bhatti, M.M., Zeeshan, A., and Ellahi, R., Heat Transfer Analysis on Peristaltically Induced Motion of Particle-Fluid Suspension with Variable Viscosity: Clot Blood Model, Comput. Meth. Programs Biomed., vol. 137, pp. 115-124, 2016b.

  8. Ebaid, A., Effects of Magnetic Field and Wall Slip Conditions on the Peristaltic Transport of a Newtonian Fluid in an Asymmetric Channel, Phys. Lett. A, vol. 372, no. 24, pp. 4493-4499, 2008.

  9. Ellahi, R., Bhatti, M.M., Fetecau, C., and Vafai, K., Peristaltic Flow of Couple Stress Fluid in a Nonuniform Rectangular Duct Having Compliant Walls, Commun. Theor. Phys., vol. 65, no. 1, p. 66, 2016.

  10. Ellahi, R., Bhatti, M.M., and Vafai, K., Effects of Heat and Mass Transfer on Peristaltic Flow in a Nonuniform Rectangular Duct, Int. J. Heat Mass Transf., vol. 71, pp. 706-719, 2014.

  11. Hassan, M., Marin, M., Ellahi, R., and Alamri, S.Z., Exploration of Convective Heat Transfer and Flow Characteristics Synthesis by Cu-Ag/Water Hybrid-Nanofluids, Heat Transf. Res., vol. 49, no. 18, pp. 1837-1848, 2018.

  12. He, J.H., Comparison of Homotopy Perturbation Method and Homotopy Analysis Method, Appl. Math. Comput., vol. 156, no. 2, pp. 527-539, 2004.

  13. Kothandapani, M. and Srinivas, S., Non-Linear Peristaltic Transport of a Newtonian Fluid in an Inclined Asymmetric Channel through a Porous Medium, Phys. Lett. A., vol. 372, no. 8, pp. 1265-1276, 2008a.

  14. Kothandapani, M. and Srinivas, S., Peristaltic Transport of a Jeffrey Fluid under the Effect of Magnetic Field in an Asymmetric Channel, Int. J. Non-LinearMech, vol. 43, no. 9, pp. 915-924, 2008b.

  15. Marin, M., Cesaro Means in Thermoelasticity of Dipolar Bodies, Acta Mechanica, vol. 122, nos. 1-4, pp. 155-168, 1997.

  16. Mekheimer, K.S., Peristaltic Transport of a Couple Stress Fluid in a Uniform and Nonuniform Channels, Biorheology, vol. 39, no. 6, pp. 755-765, 2002.

  17. Mekheimer, K.S., Peristaltic Flow of Blood under Effect of a Magnetic Field in a Nonuniform Channels, Appl. Math. Comput., vol. 153, no. 3, pp. 763-777, 2004.

  18. Mekheimer, K.S., Husseny, S.Z.A., and Elmaboud, Y.A., Effects of Heat Transfer and Space Porosity on Peristaltic Flow in a Vertical Asymmetric Channel, Numer. Meth. Partial Differ. Equ., vol. 26, no. 4, pp. 747-770, 2010.

  19. Mekheimer, K.S., The Influence of Heat Transfer and Magnetic Field on Peristaltic Transport of a Newtonian Fluid in a Vertical Annu- lus: Application of an Endoscope, Phys. Lett. A, vol. 372, no. 10, pp. 1657-1665, 2008.

  20. Nadeem, S., Akbar, N.S., Hayat, T., and Hendi, A.A., Numerical and Series Solutions of the Peristaltic Motion of an Oldroyd B-Constant Fluid in an Endoscope, Comput. Meth. Biomech., vol. 14, no. 11, pp. 987-993, 2011.

  21. Nadeem, S., Riaz, A., and Ellahi, R., Peristaltic Flow of Viscous Fluid in a Rectangular Duct with Compliant Walls, Comput. Math. Model, vol. 25, no. 3, pp. 404-415, 2014.

  22. Riaz, A., Al-Olayan, H., Zeeshan, A., Razaq, A., and Bhatti, M., Mass Transport with Asymmetric Peristaltic Propulsion Coated with Synovial Fluid, Coatings, vol. 8, no. 11, p. 407, 2018.

  23. Sheikholeslami, M., Li, Z., and Shafee, A., Lorentz Forces Effect on NEPCM Heat Transfer during Solidification in a Porous Energy Storage System, Int. J. Heat Mass Transf., vol. 127, pp. 665-674, 2018a.

  24. Sheikholeslami, M., Shehzad, S., Li, Z., and Shafee, A., Numerical Modeling for Alumina Nanofluid Magnetohydrodynamic Convective Heat Transfer in a Permeable Medium Using Darcy Law, Int. J. Heat Mass Transf., vol. 127, pp. 614-622, 2018b.

  25. Srinivas , S. and Gayathri, R., Peristaltic Transport of a Newtonian Fluid in a Vertical Asymmetric Channel with Heat Transfer and Porous Medium, Appl. Math. Comput, vol. 215, no. 1, pp. 185-196, 2009.

  26. Srinivas, S. and Kothandapani, M., The Influence of Heat and Mass Transfer on MHD Peristaltic Flow through a Porous Space with Compliant Walls, Appl. Math. Comput, vol. 213, no. 1, pp. 197-208, 2009.

  27. Tripathi, D., Study of Transient Peristaltic Heat Flow through a Finite Porous Channel, Math. Comput. Model., vol. 57, nos. 5-6, pp. 1270-1283, 2013.

  28. Zeeshan, A., Bhatti, M., Akbar, N., and Sajjad, Y., Hydromagnetic Blood Flow of Sisko Fluid in a Nonuniform Channel Induced by Peristaltic Wave, Commun. Theor. Phys., vol. 68, no. 1, p. 103, 2017.

Articles with similar content:

Special Topics & Reviews in Porous Media: An International Journal, Vol.3, 2012, issue 1
Nasser S. Elgazery
MHD Heat and Mass Transfer of Micropolar Fluid Flow Over a Stretching Sheet
International Journal of Fluid Mechanics Research, Vol.34, 2007, issue 1
Rama Bhargava, Harmindar S. Takhar, P. Bhargava, S. Sharma
Energy and Environment, 1995, Vol.0, 1995, issue
YuGe Han, Yimin Xuan
Computational Thermal Sciences: An International Journal, Vol.7, 2015, issue 4
Tadkeshwart N. Mishra, Kabindra Nath Rai, S. K. Singh
Effects of Variable Properties on Magnetohydrodinamics Unsteady Mixed-Convection in non-Newtonian Fluid with Variable Surface Temperature
Journal of Porous Media, Vol.12, 2009, issue 5
Nasser S. Elgazery, Nader Y. Abd Elazem