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MHD PERISTALTIC FLOW OF A WALTER’S B FLUID WITH MILD STENOSIS THROUGH A POROUS MEDIUM IN AN ENDOSCOPE

Volumen 22, Edición 9, 2019, pp. 1109-1130
DOI: 10.1615/JPorMedia.2019025922
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SINOPSIS

In this work, the effects of partial slip and the magnetic field on peristaltic flow of an electrically conducting Walter's B fluid through a porous medium are discussed. The streaming is through a uniform and nonuniform annulus having a mild stenosis. The influences of heat transfer and chemical reactions are taken into consideration. The governing equations of motion are scrutinized under the assumptions of long wavelength and low Reynolds number. The analytical solutions of these equations are given using the regular perturbation technique, which is based on a small wave number. The approximate analytical solutions of the pressure rise and friction force are estimated along a numerical integration. The effects of various physical parameters of the problem are discussed and illustrated graphically through a set of figures. It is found that the axial velocity decreases with an increase of the Hartmann number, Walter's B fluid parameters, and maximum height of stenosis. Also, it is observed that the temperature decreases with the increase of the Brickmann number. In addition, it is found that the concentration increases with the increase of the Soret number. Furthermore, the streamlines are graphically shown. It is observed that the size of the trapped bolus increases with the decreasing of the Hartmann number and with the increasing of the permeability parameter. The present study is very important in many medical applications, such as the gastric juice motion in the small intestine when an endoscope is inserted through it.

REFERENCIAS
  1. Abdulhadi, A.A. and Ahmed, T.S., Effect of Magnetic Field on Peristaltic Flow of Walter's B Fluid through a Porous Medium in a Tapered Asymmetric Channel, J. Adv. Math., vol. 12, no. 12, pp. 6889-6893, 2017.

  2. Akbar, N.S., Blood Flow Suspension in Tapered Stenosed Arteries for Walter's B Fluid Model, J. Comp. Methods Programs Biomed., vol. 132, pp. 45-55, 2016.

  3. Ang, K.C. and Mazumdar, J.N., Mathematical Modeling of Three Dimensional Flow through an Asymmetric Arterial Stenosis, Math. Comp. Modelling, vol. 25, no. 1, pp. 19-29, 1997.

  4. Arora, C.P., Heat and Mass Transfer, 2nd ed., Delhi: Khanna Publishers, 1997.

  5. Beard, D.W. and Walters, K., Elastico-Viscous Boundary-Layer Flows I. Two-Dimensional Flow near a Stagnation Point, Math. Proc. Cambridge Philos. Soc., vol. 60, no. 3, pp. 667-674, 1964.

  6. Bhatti, M.M., Zeeshan, A., Ellahi, R., and Ijaz, N., Heat and Mass Transfer of Two-Phase Flow with Electric Double Layer Effects Induced due to Peristaltic Propulsion in the Presence of Transverse Magnetic Field, J. Mol. Liq., vol. 230, pp. 237-246, 2017.

  7. Bhatti, M.M., Zeeshan, A., and Ellah, R., Simultaneous Effects of Coagulation and Variable Magnetic Field on Peristaltically Induced Motion of Jeffrey Nanofluid Containing Gyrotactic Microorganism, Microvasc. Res, vol. 110, pp. 32-42, 2017a.

  8. Bhatti, M.M., Zeeshan, A., and Ellah, R., Electromagnetohydrodynamic (EMHD) Peristaltic Flow of Solid Particles in a Third-Grade Fluid with Heat Transfer, Mech. Ind., vol. 18, no. 314, pp. 1-9, 2017b.

  9. Bhatti, M.M., Zeeshan, A., Ijaz, N., and Ellah, R., Heat Transfer and Inclined Magnetic Field Analysis on Peristaltically Induced Motion of Small Particles, J. Braz. Soc. Mech. Sci. Eng., vol. 39, no. 9, pp. 3259-3267, 2017c.

  10. Burns, J.C. and Parkes, T., Peristaltic Motion, J. Fluid Mech., vol. 29, no. 4, pp. 731-743, 1967.

  11. Chakravarty, S., Datta, A., and Mandal, P.K., Analysis of Nonlinear Blood Flow in a Stenosed Flexible Artery, Int. J. Eng. Sci, vol. 33, no. 12, pp. 1821-1837, 1995.

  12. Chakravarty, S. and Sen, S., Dynamic Response of Heat and Mass Transfer in Blood Flow through Stenosed Bifurcated Arteries, Korea-Aust. Rheol. J., vol. 17, no. 2, pp. 47-62,2005.

  13. Ciriello, V., Longo, S., Chiapponi, L., and Di Federico, V., Porous Gravity Currents: A Survey to Determine the Joint Influence of Fluid Rheology and Variations of Medium Properties, Adv. Water Resour., vol. 92, pp. 105-115, 2016.

  14. Di Federico, V., Longo, S., King, S.E., Chiapponi, L., Petrolo, D., and Ciriello, V., Gravity-Driven Flow of Herschel-Bulkley Fluid in a Fracture and in a 2D Porous Medium, J. Fluid Mech., vol. 821, pp. 59-84, 2017.

  15. Dursunkaya, Z. and Worek, W.M., Diffusion-Thermo and Thermal Diffusion Effects in Transient and Steady Natural Convection from a Vertical Surface, Int. J. Heat Mass Transf., vol. 35, no. 8, pp. 2060-2065, 1992.

  16. El-dabe, N.T.M., Ghaly, A.Y., and Sayed, H.M., MHD Peristaltic Flow of Non-Newtonian Fluid through a Porous Medium in Circular Cylindrical Tube, Bull. Calcutta Math. Soc, vol. 99, no. 2, pp. 123-136,2007.

  17. El-dabe, N.T.M., El-Sayed, M.F., Ghaly, A.Y., and Sayed, H.M., Mixed Convective Heat and Mass Transfer in a Non-Newtonian Fluid at a Peristaltic Surface with Temperature-Dependent Viscosity, Archive Appl. Mech., vol. 78, no. 8, pp. 599-624, 2008.

  18. El-dabe, N.T.M. and Abou-zeid, M., The Wall Properties Effect on Peristaltic Transport of Micropolar Non-Newtonian Fluid with Heat and Mass Transfer, Math. Probl. Eng., vol. 2010, pp. 1-40, 2010.

  19. El-dabe, N.T.M., Kamel, K.A., Galila abd-Allah, M., and Ramadan, S.F., Heat Absorption and Chemical Reaction Effects on Peristaltic Motion of Micropolar Fluid through a Porous Medium in the Presence of Magnetic Field, Afr. J. Math. Comp. Sci. Res, vol. 6, no. 5, pp. 94-101,2013.

  20. El-dabe, N.T.M. and Abou-zeid, M., MHD Peristaltic Flow with Heat and Mass Transfer of Micropolar Biviscosity Fluid through a Porous Medium between Two Co-Axial Tubes, Arabian J. Sci. Eng., vol. 39, no. 6, pp. 5045-5062, 2014.

  21. El-dabe, N.T.M., Hassan, M.A., and Abou-zeid, M., Wall Properties Effect on the Peristaltic Motion of a Coupled Stress Fluid with Heat and Mass Transfer through a Porous Medium, J. Eng. Mech., vol. 14, no. 3, pp. 1-9, 2016.

  22. Ellahi, R., Bhatti, M.M., Riaz, A., and Sheikholeslami, M., Effects of Magnetohydrodynamics on Peristaltic Flow of Jeffrey Fluid in a Rectangular Duct through a Porous Medium, J. Porous Media, vol. 17, no. 2, pp. 143-157, 2014.

  23. Fung, Y.C. and Yin, F., Peristaltic Waves in Circular Cylindrical Tubes, J. Appl. Mech, vol. 36, no. 3, pp. 579-587, 1969.

  24. Ijaz, N., Zeeshan, A., Bhatti, M.M., and Ellahi, R., Analytical Study on Liquid-Solid Particles Interaction in the Presence of Heat and Mass Transfer through a Wavy Channel, J. Mol. Liq., vol. 250, pp. 80-87,2018.

  25. Ikbal, M.A., Chakravarty, S., and Mandal, P.K., An Unsteady Peristaltic Transport Phenomenon of Non-Newtonian Fluid-A Generalised Approach, Appl. Math. Comput., vol. 201, no. 2, pp. 16-34, 2008.

  26. Jaffrin, M.Y., Inertia and Streamline Curvature Effects on Peristalsis Pumping, Int. J. Eng. Sci, vol. 11, no. 9, pp. 681-699, 1973.

  27. Lauriola, I., Felisa, G., Petrolo, D., Di Federico, V., and Longo, S., Porous Gravity Currents: Axisymmetric Propagation in Horizontally Graded Medium and a Review of Similarity Solutions, Adv. WaterResour., vol. 115, pp. 136-150,2018.

  28. Longo, S., Di Federico, V., and Chiapponi, L., Non-Newtonian Power-Law Gravity Currents Propagating in Confining Boundaries, Environ. FluidMech, vol. 15, no. 3, pp. 515-535, 2015.

  29. Longo, S. and Di Federico, V., Unsteady Flow of Shear-Thinning Fluids in Porous Media with Pressure-Dependent Properties, Transp. Porous Media, vol. 110, no. 3, pp. 429-447, 2015.

  30. Mandal, P.K., An Unsteady Analysis of Non-Newtonian Blood Flow through Tapered Arteries with a Stenosis, Int. J. Non-Linear Mech., vol. 40, no. 1,pp. 151-164,2005.

  31. Manton, M.J., Long-Wavelength Peristaltic Pumping at Low Reynolds Number, J. Fluid Mech., vol. 68, no. 3, pp. 467-476,1975.

  32. Mekheimer, K.S., Non-Linear Peristaltic Transport through a Porous Medium in an Inclined Planer Channel, J. Porous Media, vol. 6, no. 3, pp. 189-201,2003.

  33. Mekheimer, K.S., Salem, A.M., and Zaher, A.Z., Peristatcally Induced MHD Slip Flow in a Porous Medium due to a Surface Acoustic Wavy Wall, J. Egypt. Math. Soc., vol. 22, no. 1, pp. 143-151,2014.

  34. Nadeem, S. and Akbar, N.S., Influence of Heat Transfer on a Peristaltic Transport of Herschel-Bulkley Fluid in a Non-Uniform Inclined Tube, Nonlinear Sci. Numer. Simul., vol. 14, no. 12, pp. 4100-4113, 2009.

  35. Nadeem, S. and Akbar, N.S., Peristaltic Flow of Walter's B Fluid in a Uniform Inclined Tube, J. Biorheol, vol. 24, no. 1, pp. 22-28, 2010.

  36. Nadeem, S., Akbar, N.S., Hayat, T., and Hendi, A.A., Peristaltic Flow of Walter's B Fluid in Endoscope, Appl. Math. Mech., vol. 32, no. 6, pp. 689-700,2011.

  37. Nichols, W.W. and Orourke, M.F., McDonald's Blood Flow in Arteries, New York: Oxford University Press, 1973.

  38. Scheidegger, A.E., The Physics of Flow through Porous Media, New York: McGraw-Hill, 1963.

  39. Shapiro, A.H., Jaffrin, M.Y., and Weinberg, S.L., Peristaltic Pumping with Long Wavelengths at Low Reynolds Number, J. Fluid Mech., vol. 37, no. 4, pp. 799-825, 1969.

  40. Tzirtzilakis, E.E., A Mathematical Model for Blood Flow in Magnetic Field, Phys. Fluids, vol. 17, no. 7, pp. 3-15, 2005.

  41. Verma, N. and Parihar, R.S., Mathematical Model of Blood Flow through a Tapered Artery with Mild Stenosis and Hematocrit, J. Modern Math. Stat., vol. 4, no. 1, pp. 38-43, 2010.

CITADO POR
  1. Eldabe Nabil T., Kamel Kawther A., Ramadan Shaimaa F., Saad Rabab A., Impacts of couple stress with magnetic field and heat absorption on peristaltic flow of a power‐law fluid containing nanoparticles, Heat Transfer, 50, 4, 2021. Crossref

  2. El-Dabe Nabil T. M., Moatimid Galal M., Mohamed Mona A. A., Mohamed Yasmeen M., A couple stress of peristaltic motion of Sutterby micropolar nanofluid inside a symmetric channel with a strong magnetic field and Hall currents effect, Archive of Applied Mechanics, 91, 9, 2021. Crossref

  3. Eldabe Nabil T., Shawky Hameda M., Thermal diffusion and diffusion thermoeffects on the peristaltic motion of a non‐Newtonian micropolar fluid inside a nonuniform vertical channel, Heat Transfer, 50, 5, 2021. Crossref

  4. He Ji-Huan, Mostapha Doaa R., Bhatti M. M., Insight into the Significance of Hall Current and Joule Heating on the Dynamics of Darcy–Forchheimer Peristaltic Flow of Rabinowitsch Fluid, Journal of Mathematics, 2021, 2021. Crossref

  5. El-Dabe Nabil T.M., Abou-Zeid Mohamed Y., Oauf Mahmoud E., Mostapha Doaa R., Mohamed Yasmeen M., Cattaneo–Christov heat flux effect on MHD peristaltic transport of Bingham Al2O3 nanofluid through a non-Darcy porous medium, International Journal of Applied Electromagnetics and Mechanics, 68, 1, 2022. Crossref

  6. Sharma Bhupendra Kumar, Khanduri Umesh, Mishra Nidhish K, Chamkha Ali J, Analysis of Arrhenius activation energy on magnetohydrodynamic gyrotactic microorganism flow through porous medium over an inclined stretching sheet with thermophoresis and Brownian motion, Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 2022. Crossref

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