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Spectral quasilinearization method for solution of convective heating condition

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Języki publikacji
EN
Abstrakty
EN
This article aims to implement the spectral quasilinearization method to examine the impact of a second-order slip flow and convective heating on boundary layer flow and heat transfer of a nanofluid over an extensible surface. The mathematical modeling of the flow problem is obtained by taking into consideration the weight of leading parameters. Similarity conversions are employed in converting the leading partial differential equations to non-linear high-order ordinary differential equations. These equations were numerically computed using a spectral quasilinearization method for different values of the main parameters. The interesting numerical outcomes are attained for the flow variables, as well as the skin friction coefficient, local Nusselt number and Sherwood number. The results designate that the skin friction coefficient Cf falls as the values of slip parameter γ rise, it improves as the values of δ boost. Both the local Nusselt number, θ 0 (0), and Sherwood number, φ 0 (0), drop as both Brownian motion and thermophoresis parameters increase. A comparison of the spectral quasilinerization method (SQLM) with the bvp4c method is conducted and an excellent agreement in their output is observed.
Rocznik
Strony
69--87
Opis fizyczny
Bibliogr. 22 poz., tab., wykr.
Twórcy
  • Department of Mathematics Ambo University P.O. Box 19, Ambo, Oromia 00251, Ethiopia
Bibliografia
  • 1. Trefethen L.N., Spectral methods in MATLAB, Siam, Philadelphia, 2000.
  • 2. Shateyi S., Makinde O.D., Hydromagnetic stagnation-point flow towards a radially stretching convectively heated disk, Mathematical Problems in Engineering, 2013, Article ID 616947, 8 pages, 2013.
  • 3. Majeed A., Javed T., Shami S., Numerical analysis of Walters-B fluid flow and heat transfer over a stretching cylinder, Canadian Journal of Physics, 94(5): 522–530, 2016.
  • 4. Motsa S.S., Dlamini P.G., Khumalo M., Spectral relaxation method and spectral quasilinearization method for solving unsteady boundary layer flow problems, Advances in Mathematical Physics, 2014, Article ID 341964, 12 pages, 2014.
  • 5. Motsa S.S., Makukula Z.G, Shateyi S., Spectral local linearisation approach for natural convection boundary layer flow, Mathematical Problems in Engineering, 2013, Article ID 765013, 7 pages, 2013.
  • 6. Magagula V.M., Motsa S.S., Sibanda P., Dlamini P.G., On a bivariate spectral relaxation method for unsteady magneto-hydrodynamic flow in porous media, SpringerPlus, 5(1): Article number 455, 2016.
  • 7. Motsa S., A new spectral relaxation method for similarity variable nonlinear boundary layer flow systems, Chemical Engineering Communications, 201(2): 241–256, 2014.
  • 8. Ibrahim W., Tulu A., Magnetohydrodynamic (MHD) boundary layer flow past a wedge with heat transfer and viscous effects of nanofluid embedded in porous media, Mathematical Problems in Engineering, 2019, Article ID 4507852, 12 pages, 2019.
  • 9. Fang T., Yao S., Zhang J., Aziz A., Viscous flow over a shrinking sheet with a second order slip flow model, Communications in Nonlinear Science and Numerical Simulation, 15(7): 1831–1842, 2010.
  • 10. Fang T., Aziz A., Viscous flow with second-order slip velocity over a stretching sheet, Zeitschrift für Naturforschung A., 65(12): 1087–1092, 2010.
  • 11. Nandeppanavar M.M., Vajravelu K., Abel M.S., Siddalingappa M., Second order slip flow and heat transfer over a stretching sheet with non-linear Navier boundary condition, International Journal of Thermal Sciences, 58: 143–150, 2012.
  • 12. Roşca A.V., Pop I., Flow and heat transfer over a vertical permeable stretching/shrinking sheet with a second order slip, International Journal of Heat and Mass Transfer, 60: 355–364, 2013.
  • 13. Roşca N.C., Pop I., Mixed convection stagnation point flow past a vertical flat plate with a second order slip: heat flux case, International Journal of Heat and Mass Transfer, 65: 102–109, 2013.
  • 14. Turkyilmazoglu M., Heat and mass transfer of MHD second order slip flow, Computers & Fluids, 71: 426–434, 2013.
  • 15. Singh G., Chamkha A.J., Dual solutions for second-order slip flow and heat transfer on a vertical permeable shrinking sheet, Ain Shams Engineering Journal, 4(4): 911–917, 2013.
  • 16. Broutman D., A practical guide to pseudospectral methods, by B. Fornberg, Cambridge University Press, 1996; Journal of Fluid Mechanics, 360: 375–378, 1998.
  • 17. Gottlieb D., Orszag S.A., Numerical analysis of spectral methods: theory and applications, Society for Industrial and Applied Mathematics, Philadelphia, 1983.
  • 18. Canuto C., Hussaini M.Y., Quarteroni A., Zang T.A., Spectral methods in fluid dynamics, Springer-Verlag, New York 1988.
  • 19. Khan W.A., Pop I., Boundary-layer flow of a nanofluid past a stretching sheet, International Journal of Heat and Mass Transfer, 53(11–12): 2477–2483, 2010.
  • 20. Wu L., A slip model for rarefied gas flows at arbitrary Knudsen number, Applied Physics Letters, 93(25): 253103, 2008.
  • 21. Noghrehabadi A., Pourrajab R., Ghalambaz M., Effect of partial slip boundary condition on the flow and heat transfer of nanofluids past stretching sheet prescribed constant wall temperature, International Journal of Thermal Sciences, 54: 253–261, 2012.
  • 22. Sahoo B., Effects of partial slip, viscous dissipation and Joule heating on Von Kármán flow and heat transfer of an electrically conducting non-Newtonian fluid, Communications in Nonlinear Science and Numerical Simulation, 14(7): 2982–2998, 2009.
Uwagi
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-6ff76715-44b2-4a9b-b5f3-5beeeb276687
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