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Simultaneous chemical reactions effect on dispersion of a solute in peristaltic propulsion of a Newtonian fluid in an inclined channel with wall properties

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, the dispersion of a solute in the peristaltic propulsion of an incompressible and viscous fluid through a permeable medium under the influence of wall properties with simultaneous homogeneous, heterogeneous chemical reactions in an inclined uniform channel has been studied. The issue is studied through conditions of Taylor’s limit and long wavelength hypothesis. The mean effective coefficient of scattering expression is computed and outcomes are interpreted physically through graphs.
Rocznik
Strony
527--538
Opis fizyczny
Bibliogr. 29 poz., wykr.
Twórcy
autor
  • Department of Mathematics (Affiliated to Visvesvaraya Technological University, Belagavi, India) B.L.D.E.A.’S.V.P.Dr.P.G. Halakatti College of Engineering and Technology Vijayapur (586103), Karnataka, INDIA
autor
  • Department of Mathematics (Affiliated to Visvesvaraya Technological University, Belagavi, India) B.L.D.E.A.’S.V.P.Dr.P.G. Halakatti College of Engineering and Technology Vijayapur (586103), Karnataka, INDIA
Bibliografia
  • [1] Jaffrin M.Y., Shapiro A. and Weinberg H.S.L. (1969): Peristaltic pumping with long wavelengths at low Reynolds number. Journal Fluid Mechanics, vol.37, pp.799-825.
  • [2] Fung Y.C. and Yih C.S. (1968): Peristaltic transport. ASME transactions. Journal of Applied Mechanics, vol.35, No.4, pp.669-675.
  • [3] Misra J.C. and Ghosh S.K. (1997): A mathematical model for the study of blood flow through a channel with permeable walls. Acta Mechanica, vol.122, pp.137-153.
  • [4] Seaway E.F. and El Sebaei W. (2000): Peristaltic transport in a cylindrical tube through a porous medium. International Journal of Mathematics and Mathematical Sciences. vol.24, pp.217-230.
  • [5] Takagi D. and Balmforth N.J. (2011): Peristaltic pumping of viscous fluid in an elastic tube. Journal of Fluid mechanics, vol.672, pp.196-218.
  • [6] Meikhemeir Kh. S. (2003): Non-linear peristaltic transport of a second – order through a porous medium. Journal of Porous Media, vol.6, No.3, pp.189-201.
  • [7] Jayarami Reddy B., Subba Reddy M.V., Nadhamuni Reddy C. and Yogeswar Reddy P. (2012): Peristaltic flow of a Williamson fluid in an inclined planner channel under the effect of a magnetic field. Advances in Applied Science research, vol.3, No.1, pp.452-461.
  • [8] Ali Ibrahim and Abdulhadi A.M. (2014): Peristaltic transport of a viscoelastic fluid with fractional Maxwell model in an inclined channel. Qi Journal of Sciences, vol.4, No.B, pp.1962-1975.
  • [9] Kavitha A., Reddy H., Saravana R. and Sreenath R. (2015): Peristaltic transport of a Jeffrey fluid in contact with a Newtonian fluid in an inclined Channel. Ain Sham Engineering Journal, http://dx.doi.org/10.1016/j.asej.2015.10.014.
  • [10] Mittra T.K. and Prasad N.S. (1973): On the influence of wall properties and poiseuille flow in peristalsis. Journal of Biomechanics, vol.6, pp.681-693.
  • [11] Sankad G.C. and Radhakrishnamacharya G. (2009): Effect of Magnetic Field on the peristaltic motion of micropolar fluid with wall effects. Journal of Applied Mathematics and Fluid Mechanics, vol.1, pp.37-50.
  • [12] Ramana Kumari A.V. and Radhakrishnamacharya G. (2012): Effect of slip and magnetic field on peristaltic flow in an inclined channel with wall effects. International Journal of Biomathematics, vol.5, N.6, http://dx.doi.org/10.1142/S1793524511001568.
  • [13] Sankad G.C. and Radhakrishnamacharya G. (2014): Influence of wall properties on the peristaltic transport of a micropolar fluid in an inclined channel. Journal of New Results in Science, vol.6, pp.62-75.
  • [14] Rathod V.P., Manikrao N. and Sridhar N.G. (2015): Peristaltic flow of a couple stress fluid in an inclined channel under the effect of the magnetic field. Pelagia Research Library, vol.6, No.9, pp.101-109.
  • [15] Hayat T., Tanveer A. and Alsaedi A. (2015): Simultaneous effects of radial magnetic field and wall properties on peristaltic flow of Carreau-Yasuda fluid in curved flow configuration. AIP Advances, vol.5, No.12, http://dx.doi.org/10.1063/1.4939541.
  • [16] Riaz A., Ellahi R. and Nadeem S. (2014): Peristaltic transport of a Carreau fluid in a complaint rectangular duct. Alexandria Engineering Journal, vol.53, pp.475-484.
  • [17] Ellahi R., Bhatti M.M., Fetecau C. and Vafai K. (2016): Peristaltic flow of couple stress fluid in a non-uniform rectangular duct having complaint walls. Communications in Theoretical Physics, vol.65, No.1, pp.66-72.
  • [18] Taylor G.I. (1953): Dispersion of soluble matter in solvent flowing slowly through a tube. Proceedings of Royal Society London, vol.219(A), pp.186-203.
  • [19] Aris R. (1956): On the dispersion of a solute in a fluid flowing through a tube. Proceedings of Royal Society London, vol.35(A), pp.67-77.
  • [20] Padma D. and Ramana Rao V.V. (1975): Homogeneous and heterogeneous reaction on the dispersion of a solute in MHD Couette flow – I. Current Science, vol.44, pp.803-804.
  • [21] Gupta P.S. and Gupta A.S. (1972): Effect of homogeneous and heterogeneous reactions on the dispersion of a solute in the laminar flow between two plates. Proceedings of Royal Society London, vol.330(A), pp.59-63.
  • [22] Sobh A.M. (2013): Effect of homogeneous and heterogeneous reactions on the dispersion of a solute in MHD Newtonian fluid in an asymmetric channel with peristalsis. British Journal of Mathematics & Computer Science, vol.3, No.4, pp.664-679.
  • [23] Chandra P. and Philip D. (1993): Effect of heterogeneous and homogeneous reactions on the dispersion of a solute in simple microfluid. Indian Journal of Pure Applied Mathematics, vol.24, pp.551-561.
  • [24] Dutta B.K.N., Roy N.C. and Gupta A.S. (1974): Dispersion of a solute in a non-Newtonian fluid with simultaneous chemical reaction. Mathematica- Mechanica fasc., vol.2, pp.78-82.
  • [25] Alemayehu H. and Radhakrishnamacharya G. (2012): Dispersion of solute in peristaltic motion of a couple stress fluid through a porous medium. Tamkang Journal of Mathematics, vol.43, No.4, pp.541-555.
  • [26] Hayat T., Tanveer A., Yasmin H. and Alsaedi A. (2014): Homogeneous-heterogeneous reactions in peristaltic flow with convective conditions. PLOS one, vol.9, http://dx.doi.org/10.1371/journal.pone.0113851.
  • [27] Ravi Kiran G. and Radhakrishnamacharya G. (2015): Effect of homogeneous and heterogeneous chemical reactions of peristaltic transport of a Jeffrey fluid through a porous medium with slip condition. Journal of Applied Fluid Mechanics, vol.8, No.3, pp.521-528.
  • [28] Gupta B.B. and Seshadri V. (1976): Peristaltic pumping in non-uniform tubes. Journal of Biomechanics, vol.9, pp.105-109.
  • [29] Lightfoot E.N. (1974): Transport Phenomena in Living Systems. New York: John Wiley and Sons.
Uwagi
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Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-075b4974-869d-4b99-b8f0-542bdf225691
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