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In the present investigation, heat transfer analysis of peristaltic flow in the presence of heat generation against high values of the Reynolds number using a numerical technique is presented. The Finite Element Method with the assistance of Galerkin’s variational method has been used on the governing Navier-Stokes equation in the stream-vorticity form. The graphs of computed longitudinal velocity, temperature distribution and pressure rise per wavelength are plotted against different values of an emerging parameter using a stream function and vorticity. The presented results are valid beyond the restrictions of long wavelength and low Reynolds number limits. Moreover, large values of the Reynolds number increases pressure rise per wavelength.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
279--292
Opis fizyczny
Bibliogr. 23 poz., rys.
Twórcy
autor
- Department of Mathematics and Statistics, International Islamic University Islamabad, Pakistan
autor
- Department of Mathematics, Division of Science and Technology, University of Education, Lahore, Pakistan
autor
- Department of Mathematics and Statistics, The University of Lahore, Pakistan
autor
- Department of Mathematics and Statistics, International Islamic University Islamabad, Pakistan
Bibliografia
- 1. Abo-Eldahab E., Barakat E., Nowar Kh., 2012, Hall currents and heat transfer effects on peristaltic transport in a vertical asymmetric channel through a porous medium, Mathematical Problems in Engineering, 1-23.
- 2. Ali N., Hussain Q., Hayat T., Asghar S., 2008, Slip effects on the peristaltic transport of MHD fluid with variable viscosity, Physics Letters A, 372, 1477-1489.
- 3. Eldabe N.T.M., El-Sayed M.F., Ghaly A.Y., Sayed H.M., 2008, Mixed convective heat and mass transfer in a non-Newtonian fluid at a peristaltic surface with temperature-dependent viscosity, Archive of Applied Mechanics, 78, 599-624.
- 4. El-Sayed M.F., Eldabe N.T.M., Ghaly A.Y., Sayed H.M., 2011, Effects of chemical reaction, heat and mass transfer on non-Newtonian fluid flow through porous medium in a vertical peristaltic tube, Transport in Porous Media, 89, 185-212.
- 5. Fung Y.C., Yih C.S., 1968, Peristaltic transport, Transactions of the ASME, Journal of Applied Mechanics, 35, 669.
- 6. Hayat T., Hina S., Ali N., 2010, Simultaneous effects of slip and heat transfer on the peristaltic flow, Communications in Nonlinear Science and Numerical Simulation, 15, 1526-1537.
- 7. Hayat T., Hussain Q., Ali N., 2008, Influence of partial slip on the peristaltic flow in a porous medium, Physica A: Statistical Mechanics and its Applications, 387, 3399-3409.
- 8. Hayat T., Mahomed F.M., Asghar S., 2005, Peristaltic flow of a magnetohydrodynamic Johnson-Segalman fluid, Non-Linear Dynamics, 40, 375-385.
- 9. Jaffrin M.Y., 1973, Inertia and streamline curvature effects on peristalsis, International Journal of Engineering Science, 11, 681-699.
- 10. Kothandapani M., Srinivas S., 2008a, On the influence of wall properties in the MHD peristaltic transport with heat transfer and porous medium, Physics Letters A, 372, 4586-4591.
- 11. Kumar B.V.R., Naidu K.B., 1995, A numerical study of peristaltic flows, Computers and Fluids, 24, 161-176.
- 12. Latham T.W., 1966, Fluid Motion in a Peristaltic Pump, Master thesis, MIT, Massachusetts.
- 13. Lew H.S., Fung Y.C., Lowenstein C.B., 1971, Peristaltic carrying and mixing of chyme in the small intestine, Journal of Biomechanics, 4, 297-315.
- 14. Mekheimer Kh.S., 2008, Peristaltic flow of a magneto-micropolar fluid. Effect of induced magnetic field, International Journal of Applied Mathematics, ID: 570825.
- 15. Shapiro A., Jaffrin M., Weinberg S.L., 1969, Peristaltic pumping with long wavelength at low Reynolds numbers, Journal of Fluid Mechanics, 37, 799.
- 16. Srinivas S., Kothandapani M., 2008, Peristaltic transport in an asymmetric channel with heat transfer – A note, International Communications in Heat and Mass Transfer, 35, 514-522.
- 17. Takabatake S., Ayukawa K., 1982, Numerical study of two dimensional peristaltic flows, Journal of Fluid Mechanics, 122, 439-465.
- 18. Takabatake S., Ayukawa K., Mori A., 1988, Peristaltic pumping in circular tubes: a numerical study of fluid transport and its efficiency, Journal of Fluid Mechanics, 193, 267-283.
- 19. Takabatake S., Ayukawa K., Sawa M., 1987, Finite element analysis of two dimensional peristaltic flow (1st report, Finite element solution), Japan Society of Mechanical Engineers, 53, 1207-1213.
- 20. Takabatake S., Ayukawa K., Sawa M., 1990, Finite element analysis of two dimensional peristaltic flow (2nd report, Pessure-flow characteristics), Japan Society of Mechanical Engineers, 56, 3633-3637.
- 21. Tripathi D., 2013, Study of transient peristaltic heat flow through a finite porous channel, Mathematical and Computer Modelling: An International Journal, 57, 5, 1270-1283.
- 22. Weinberg S.L., Eckstein E.C., Shapiro A.H., 1971, An experimental study of peristaltic pumping, Journal of Fluid Mechanics, 49, 461.
- 23. Yi M., Bau H.H., Hu H., 2002, Peristaltically induced motion in a closed cavity with two vibrating walls, Physics of Fluids, 14, 184-197.
Uwagi
„Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).”
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-2dc01b8a-9318-462c-abf3-ec293f5a6f73
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