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Effects of radiation and Eckert number on MHD flow with heat transfer rate near a stagnation point over a non-linear vertical stretching sheet

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This work investigates the effects of radiation and Eckert number on an MHD flow with heat transfer rate near a stagnation-point region over a nonlinear vertical stretching sheet. Using a similarity transformation, the governing equations are transformed into a system of ordinary differential equations which are solved numerically using the sixth order Runge-Kutta method with shooting technique. Tabular and graphical results are provided to examine the physical nature of the problem. Heat transfer rate at the surface decreases with radiation, Eckert number and as radiation increases, the flow temperature also increases for velocity ratio parameters […].
Rocznik
Strony
27--36
Opis fizyczny
Bibliogr. 15 poz., tab., wykr.
Twórcy
autor
  • Department of Mathematics, University of Lagos Akoka, Lagos, NIGERIA
autor
  • Department of Mathematics, Tai Solarin University of Education Ogun State, NIGERIA
  • Department of Mathematics and Statistics, Federal University Wukari, TarabaState, NIGERIA
Bibliografia
  • [1] Ali F.M., Nazar R., Arin N.N. and Pop I. (2014): Mixed convection stagnation-point flow on vertical stretching sweet with external magnetic field. Appl. Math. Mech., vol.35, No.2, pp.155-166.
  • [2] Akyildiz F.T. and Siginer D.A. (2010): Galerkin-Legendre spectral method for the velocity and thermal boundary layers over a non-linearly stretching sheet. Nonlinear Anal., Real World Appl., vol.11, No.2, pp.735-741.
  • [3] Ashraf M.B., Hayat T. and Alsaedi A. (2015): Three-dimensional flow of Eyring-Powell nanofluid by convectively heated exponentially stretching sheet. Eur. Phys. J. Plus, vol.130, No.1, pp.1-16.
  • [4] Dhanai R. Rana and Kumar L. (2015): Multiple solutions of MHD boundary layer flow and heat transfer behavior of nanofluids induced by a power-law stretching/shrinking permeable sheet with viscous dissipation. Powder Technol., vol.273, pp.62-70.
  • [5] Mabood F., Khan W.A. and Ismail A.M. (2015): MHD boundary layer flow and heat transfer of nanofluids over a nonlinear stretching sheet: a numerical study. J. Magn. Magn. Mater., vol.374, pp.569-576.
  • [6] Akyildiz F.T., Siginer D.A., Vajravelu K., Cannon J.R. and Van Gorder R.A. (2010): Similarity solutions of the boundary layer equations for a nonlinearly stretching sheet. Math. Methods Appl. Sci., vol.33, No.5, pp.601-606.
  • [7] Das S., Jana R.N. and Makinde O.D. (2014): MHD boundary layer slip flow and heat transfer of nanofluid past a vertical stretching sheet with non-uniform heat generation/absorption. Int. J. Nanosci., vol.13, No.3, pp.1450019.
  • [8] Makinde O.D., Khan A.H. and Khan Z.H. (2013): Buoyancy effects on MHD stagnation point flow and heat transfer of a nanofluid past a convectively heated stretching/shrinking sheet. Int. J. Heat Mass Transf., vol.62, No.526-533.
  • [9] Makinde O.D. (2012): Heat and mass transfer by MHD mixed convection stagnation point flow toward a vertical plate embedded in a highly porous medium with radiation and internal heat generation. Meccanica, vol.47, pp.1173-1184.
  • [10] Ishak A., Jafar K., Nazar R. and Pop I. (2009): MHD stagnation point flow towards a stretching sheet. Physica A, vol.388, No.13, pp.3377-3383.
  • [11] Ishak A., Nazar R. and Pop I. (2010): MHD mixed convection boundary layer flow towards a stretching vertical surface with constant wall temperature. Int. J. Heat Mass Transf., vol.53, No.23-24, pp.5330-5334.
  • [12] Khan Z.H., Khan W.A., Qasim M. and Shah I.A. (2014): MHD stagnation point ferro fluid flow and heat transfer toward a stretching sheet. IEEE Trans. Nanotechnol., vol.13, No.1, pp.35-40.
  • [13] Shen M., Wang F. and Chen H. (2015): MHD Mixed Convection slip flow near stagnation-point on a nonlinearly vertical stretching sheet. Boundary value problem. Spinger open Journal, 78.
  • [14] Shateyi S. and Makinde O.D. (2013): Hydromagnetic stagnation-point flow towards a radially stretching convectively heated disk. Math. Problem in Engineering, Article ID 616947.
  • [15] Shateyi S. and Marewo G.T. (2014): Numerical analysis of unsteady MHD flow near a stagnation point of a twodimensional porous body with heat and mass transfer, thermal transfer and chemical reaction. Boundary Value Problem, 218.
Uwagi
PL
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-85db9f58-bf5d-4f32-a48a-6dca3870d337
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