PL EN


Preferences help
enabled [disable] Abstract
Number of results
2019 | 137 | 1-17
Article title

Peristaltic flow of a third grade fluid accounting Joule heating and Magnetic field. Effects in an asymmetric channel

Content
Title variants
Languages of publication
EN
Abstracts
EN
In this article, we have analysed the MHD third grade fluid flow induced by a peristaltic wave. The flow is analysed using the lubrication approximations. The reduced equations are solved by Adomian Decomposition Method (ADM) and the expressions for stream function, velocity, pressure gradient and frictional force are obtained. The effect of pertinent parameters such as Brinkmann number, magnetic field, Deborah number and phase difference are analysed and illustrated graphically. The results shown that the rate of conduction of heat enhances by supplying heat to the channel. Also it is noticed that by increasing magnetic field the Lorentz forces reduces the velocity. This study finds application in various practical devices like electric power generators, heaters and conductors.
Year
Volume
137
Pages
1-17
Physical description
Contributors
author
  • Department of Mathematics, Karnatak University, Dharwad, India
author
  • Department of Mathematics, Karnatak University, Dharwad, India
References
  • [1] F. M Abbasi and T. Hayat, Effects of inclined magnetic field and joule heating in mixed convective peristaltic transport of non-Newtonian fluids. Bull Pol Ac Tech 63(3) (2015) 501-514.
  • [2] T. Hayat, N. Aslam and M. Rafiq, Hall and joule heating effects on peristaltic flow of Powell–Eyring liquid in an inclined symmetric channel. Results Phys 7 (2017) 518-528.
  • [3] N. K. Ranjit, G.C. Shit and D. Tripathi, “Joule heating and zeta potential effect on peristaltic blood flow through porous micro-vessels altered by elctrohydrodynamics. Microvasc Res 117 (2018) 74-89.
  • [4] M.M Bhatti and M.M Rashidi, Study of heat and mass transfer with joule heating on magnetohydrodynamic (MHD) peristaltic blood flow under the influence of Hall Effect. Propul. Power Res. 6(3) (2017) 177-185.
  • [5] D. Prasanth Reddy and M. V. Subba Reddy, Peristaltic pumping of a third grade fluid in an asymmetric channel under the effect of magnetic field. Adv. Appl. Sci. Res 3(6) (2012) 3868-3877.
  • [6] T. Hayat and O.U. Mehmood, Slip effects on MHD flow of third order fluid in a planar channel. Comm Nonlinear Sci Num Simulation 16 (2011) 1363-1377.
  • [7] M. Kothandapani and S. Srinivas, Non-linear peristaltic transport of a Newtonian fluid in an inclined asymmetric channel through a porous medium. Phys. Lett. A 372 (2008) 1265-1276.
  • [8] V.P. Rathod and Laxmi Devindrappa, Peristaltic transport in an inclined asymmetric channel with heat and mass transfer by Adomian decomposition method. Adv in Applied Sci and Research 7 (2016) 83-100.
  • [9] K.K. Raju and R. Devanathan, Peristaltic motion of non-Newtonian fluids, Part-I. Rheol. Acta 11 (1972) 170-178.
  • [10] Kh. S Mekheimer, Peristaltic transport of blood under the effect of magnetic field in non-uniform channels. Appl. Math. Comput. 153 (2004) 763-777.
  • [11] C. Amrouche and D. Cioranescu, On a class of fluids of grade 3. Internat. J. Non-Linear Mech (1997) 73-88.
  • [12] V. Busuioc and D. Iftimie, Global existence and uniqueness of solutions for the equations of third grade fluids. Internat. J. Non-Linear Mech 39 (2004) 1-12.
  • [13] D. Bresch and J. Lemoine, On the existence of solutions for non-stationary third-grade fluids. Internat. J. Non-Linear Mech., 34 (1999).
  • [14] K.K. Raju and R. Devanathan, Peristaltic motion of non-Newtonian fluids, Part-II, Rheol. Acta 13 (1974) 994-948.
  • [15] Kh. S Mekheimer, Peristaltic transport of blood under the effect of magnetic field in non-uniform channels. Appl. Math. Comput. 153 (2004) 763-777.
  • [16] C. Amrouche and D. Cioranescu. On a class of fluids of grade 3. Internat. J. Non-Linear Mech (1997) 73-88.
  • [17] V. Busuioc and D. Iftimie, Global existence and uniqueness of solutions for the equations of third grade fluids. Internat. J. Non-Linear Mech, 39 (2004) 1-12.
  • [18] D. Bresch and J. Lemoine, On the existence of solutions for non-stationary third-grade fluids. Internat. J. Non-Linear Mech. 34(3) (1999) 485-498.
  • [19] T. Hayat, Y. Wang, A.M. Siddiqui, K. Hutter and S. Asghar, Peristaltic transport of a third order fluid in a circular cylindrical tube. Math. Models Methods Appl. Sci. 12 (2002) 1691-1706.
  • [20] M.H. Haroun, Effect of Deborah number and phase difference on peristaltic transport of a third-order fluid in an asymmetric channel. Math. Comput. Modelling 12 (2007) 1464-1480.
  • [21] J. Prakash, E.P. Siva, N. Balaji and M. Kothandapani, Effect of peristaltic flow of a third grade fluid in a tapered asymmetric channel. Journal of Physics: Conf. Series. 1000 (2018) 012165.
  • [22] I. Amin, S. Islam, TazaGul, M. AltafKhan and S. Nasir, Unsteady Thin Film Third Grade Fluid on a Vertical Oscillating Belt using Adomian Decomposition Method. J. Basic. Appl. Sci. Res 4(8) (2014) 76-83.
  • [23] J.E. Dunn and K. R. Rajagopal, Fluids of differential type: Critical review and thermodynamic analysis. Int. J. Eng. Sci. 33 (5) (1995) 689-729.
Document Type
article
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.psjd-dd880db5-a450-44ec-8a55-038f2ef535c9
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.