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Warianty tytułu
Języki publikacji
Abstrakty
This article describes the influence of an inclined magnetic field on the mixed convective peristaltic transport of fluid in an inclined channel. Two types of non-Newtonian fluids are considered. The problem formulation is presented for the Eyring-Prandtl and Sutterby fluids. Viscous dissipation and Joule heating in the heat transfer process are retained. The presence of a heat source in the energy equation is ensured. The resulting problems are solved by the perturbation method. The plots for different parameters of interest are given and discussed. Numerical values of a heat transfer rate are given and analyzed.
Rocznik
Tom
Strony
501--514
Opis fizyczny
Bibliogr. 19 poz., rys., tab., wykr.
Twórcy
autor
- Department of Mathematics, Comsats Institute of Information Technology, Islamabad 44000, Pakistan
autor
- Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan / Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
autor
- Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Bibliografia
- [1] T.W. Latham, “Fluid motion in a peristaltic pump”, M. S. Thesis, Massachusetts Institute of Technology, Cambridge, 1966.
- [2] A.H. Shapiro, M.Y. Jaffrin, and S.L. Wienberg, “Peristaltic pumping with long wavelengths at low Reynolds number”. J. Fluid Mech. 37, 799-825 (1969).
- [3] Kh.S. Mekheimer, “Effect of the induced magnetic field on peristaltic flow of a couple stress fluid”, Physics Letters A, 372 4271-4278 (2008).
- [4] M. Kothandapani and S. Srinivas, “Peristaltic transport of a Jeffrey fluid under the effect of magnetic field in an asymmetric channel”, Int. J. Non-Linear Mech. 43, 915-924 (2008).
- [5] N. Ali, T. Hayat, and Y. Wang, “Magnetohydrodynamic peristaltic flow of a third order fluid in an asymmetric channel”, Int. J. Numer. Meth. Fluids 64, 992-1013 (2010).
- [6] N. Ali, M. Sajid, T. Javed, and Z. Abbas, “Heat transfer analysis of peristaltic flow in a curved channel”, Int. J. Heat Mass Transfer 53, 3319-3325 (2010).
- [7] T. Hayat and F.M Abbasi, “Variable viscosity effects on the peristaltic motion of a third order fluid”, Int. J. Numerical Methods in Fluids 67, 1500-1515 (2011).
- [8] T. Hayat, F.M. Abbasi, and A.A. Hendi, “Heat transfer analysis for peristaltic mechanism in variable viscosity fluid”, Chinese Physics Letters 28, 044701 (2011).
- [9] N.S. Gad, “Effect of Hall currents on interaction of pulsatile and peristaltic transport induced flows of a particle-fluid suspension”, Applied Mathematics and Computation 217, 4313-4320 (2011).
- [10] Y. Abd Elmaboud, “Influence of induced magnetic field on peristaltic flow in an annulus”, Communications in Nonlinear Science and Numerical Simulation 17, 685-698 (2012).
- [11] D. Tripathi, “A mathematical model for swallowing of food bolus through the oesophagus under the influence of heat transfer”, Int J. Therm. Sci. 51, 91-101 (2012).
- [12] Kh.S. Mekheimer, S.R. Komy, and S.I. Abdelsalamd, “Simultaneous effects of magnetic field and space porosity on compressible Maxwell fluid transport induced by a surface acoustic wave in a microchannel”, Chin. Phys. B 22, 124702 (2013).
- [13] F.M. Abbasi, T. Hayat, A. Alsaedi and B. Ahmed, “Soret and Dufour effects on peristaltic transport of MHD fluid with variable viscosity”, Appl. Math. Inf. Sci. 8, 211-219 (2014).
- [14] F.M. Abbasi, A. Alsaedi, and T. Hayat, “Peristaltic flow in an asymmetric channel with convective boundary conditions and Joule heating”, J. Cent. South Uni. 21, 1411-1416 (2014).
- [15] T. Hayat, F.M. Abbasi, B. Ahmad, and A. Alsaedi, “MHD mixed convection peristaltic flow with variable viscosity and thermal conductivity”, Sains Malays. 43, 1583-1590 (2014).
- [16] N.S. Akbar, “MHD Eyring-Prandtl fluid flow with convective boundary conditions in small intestines”, Int. J. Biomath. 6, 1350034 (2013).
- [17] N.S. Akbar, “Convective heat transfer of a Sutterby fluid in an inclined asymmetric channel with partial slip”, Heat Transfer Research 45, 219-240 (2014).
- [18] F.M. Abbasi, T. Hayat, and B. Ahmad, “Peristaltic transport of copper-water nanofluid saturating porous medium”, Physica E: Low-dimensional Systems and Nanostructures 67, 47-53 (2015).
- [19] F.M. Abbasi, T. Hayat, and A. Alsaedi, “Peristaltic transport of magneto-nanoparticles submerged in water: model for drug delivery system”, Physica E: Low-dimensional Systems and Nanostructures 68, 123-132 (2015).
Typ dokumentu
Bibliografia
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