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Tytuł artykułu

Numerical solution of MHD channel flow in a porous medium with uniform suction and injection in the presence of an inclined magnetic field

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Języki publikacji
EN
Abstrakty
EN
In this paper, the steady fully developed MHD flow of a viscous incompressible electrically conducting fluid through a channel filled with a porous medium and bounded by two infinite walls is investigated numerically for the cases (i) Poiseuille flow and (ii) Couette-Poiseuille flow; with uniform suction and injection at the walls in the presence of an inclined magnetic field. The Brinkman equation is used for the flow in the porous channel and solved numerically using the finite difference method. Numerical results are obtained for velocity. The effects of various dimensionless parameters such as Hartmann number (M), suction/injection parameter (S), permeability parameter (α) and angle of inclination (θ) on the flow are discussed and presented graphically.
Rocznik
Strony
5--13
Opis fizyczny
Bibliogr. 18 poz., rys.
Twórcy
autor
  • Department of Mathematics, Mariani College, Mariani-785634, Assam, India
Bibliografia
  • [1] Verma, V.K., & Gupta, A.K. (2018). MHD flow in a porous channel with constant suction/injection at the walls. International Journal of Pure and Applied Mathematics, 118(1), 111-123.
  • [2] Singh, K.D., & Sapna, K.C. (2016). Injection/suction effect on MHD convective flow through porous medium filled in a vertical porous channel with heat radiation and chemical reaction. International Journal of Technology, 6(2), 215-222.
  • [3] Hamza, S.E.E. (2019). The effect of suction and injection on MHD flow between two porous concentric cylinders filled with porous medium. Journal of Advances in Physics, 16, 156-170.
  • [4] Srivastava, B.G., & Deo, S. (2013). Effect of magnetic field on the viscous fluid flow in a channel filled with porous medium of variable permeability. Applied Mathematics and Computation,209(17), 8959-8964.
  • [5] Pantokratoras, A., & Fang, T. (2010). Flow of a weakly conducting fluid in a channel filled with a porous medium. Transport in Porous Media, 83, 667-676.
  • [6] Verma V.K., & Singh, S.K. (2015). Magnetohydrodynamic flow in a circular channel filled with a porous medium. Journal of Porous Media, 18(9), 923-928.
  • [7] Chamkha, A.J. (1996). Steady and transient magnetohydrodynamic flow and heat transfer in a porous medium channel. Fluid/Particle Separation Journal, 9, 129-135.
  • [8] Manglesh, A., & Gorla, M.G. (2013). MHD free convective flow through porous medium in the presence of hall current, radiation and thermal diffusion. Indian Journal of Pure Applied Mathematics, 44, 743-756.
  • [9] Manyange, W.A., Kiema, D.W., & Iyaya, C.C.W. (2012). Steady Poiseuille flow between two infinite parallel porous plates in an inclined magnetic field. International Journal of Pure and Applied Mathematics, 76(5), 661-668 (2012).
  • [10] Ramakrishnan, K. (2018). Combined effects of slip parameter and inclined magnetic field on MHD flow through two infinite parallel plates filled by porous medium. International Journal of Pure and Applied Mathematics, 118(11), 61-69.
  • [11] Kuiry, D.R., & Bahadur, S. (2014). Effect of an inclined magnetic field on steady Poiseuille flow between two parallel porous plates. IOSR Journal of Mathematics, 10(5), 90-96.
  • [12] Sandeep, N. (2013). Effect of an inclined magnetic field on unsteady free convection flow of a dusty viscous fluid between two infinite flat plates filled by a porous medium. International Journal of Applied Mathematics and Modelling, 1(1), 16-33.
  • [13] Attia, H.A., El-Meged, W.A., Abbas, W., & Abdeen, M.A.M. (2014). Unsteady flow in a porous medium between parallel plates in the presence of uniform suction and injection with heat transfer. International Journal of Civil Engineering, 12(3), Transaction A: Civil Engineering, 277-281.
  • [14] Falade, J.A., Ukaegbu, J.C., Egere, A.C., & Adesanya, S.O. (2016). MHD oscillatory flow through a porous channel saturated with porous medium. Alexandria Engineering Journal, 56(1), 147-152.
  • [15] Dwivedi, K., Khare, R.K., & Paul, A. (2018). MHD Flow through a horizontal channel containing porous medium placed under an inclined magnetic field. Journal of Computer and Mathematical Sciences, 9(8), 1057-1062.
  • [16] Chandrasekar, P., Ganesh, S., & Mohamed Ismail, A. (2019). Magnetohydrodynamic flow of viscous fluid between two parallel porous plates with bottom injection and top suction subjected to an inclined magnetic field. AIP Conference Proceedings, 2112, 020144 (1-8).
  • [17] Wouwer, P.A.V., Saucez, P., & Vilas, C. (2014). Simulation of ODE/PDE Models with Matlab R, Octave and Scilab: Scientific and Engineering Applications. Springer.
  • [18] Al-khawaja, M., & Selmi, M. (2010). Matlab modelling programming and simulations, Sciyo, 365-388.
Uwagi
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-c9fd7269-de24-4e26-8c06-a67d13bcc332
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