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Analytical solution for magnetohydrodynamic stagnation point flow and heat transfer over a permeable stretching sheet with chemical reaction

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Języki publikacji
EN
Abstrakty
EN
This work deals with the problem of steady two-dimensional magnetohydrodynamic (MHD) stagnation point flow towards a permeable stretching sheet with chemical reaction. The fundamental equations of the boundary layer are transformed into ordinary differential equations, which are then solved analytically using the Optimal Homotopy Asymptotic Method (OHAM). Comparisons are made between the results of the proposed method and the numerical method (fourth-order Runge-Kutta) in solving this problem, and excellent agrement has been observed. Subsequently, effects of different involved parameters on the temperature profiles, concentration profiles, local Nusselt number, local Sherwood number and skin-friction coefficient are presented and discussed in detail.
Rocznik
Strony
675--686
Opis fizyczny
Bibliogr. 28 poz., rys., tab.
Twórcy
autor
  • Department of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran
  • Department of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran
autor
  • Department of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran
autor
  • Department of Mechanical Engineering, Babol University of Technology, Babol, Iran
Bibliografia
  • 1. Afify A.A., 2004, MHD free convective flow and mass transfer over a stretching sheet with chemical reaction, Heat Mass Transfer, 40, 495-500
  • 2. Alizadeh-Pahlavan A., Aliakbar V., Vakili-Farahani F., Sadeghy K., 2009, MHD floks of UCM fluids above porous stretching sheets using two-auxiliary parameter homotopy analysis method, Communications in Nonlinear Science and Numerical Simulation, 14, 473-488
  • 3. Babaelahi M., Domairry G., Joneidi A.A., 2010, Viscoelastic MHD flow boundary layer over a stretching surface with viscous and ohmic dissipations, Meccanica, 45, 817-827
  • 4. Chiam T.C., 1996, Heat transfer with variable thermal conductivity in a stagnation point towards a stretching sheet, International Communications in Heat and Mass Transfer, 23, 239-248
  • 5. Cortell R., 2005, A note on magnetohydrodynamic flow of a power-law fluid over a stretching sheet, Applied Mathematics and Computation, 168, 557-566
  • 6. Datta B.K., Roy P., Gupta A.S., 1985, Temperature field in the flow over a stretching sweet with uniform heat flux, International Communications in Heat and Mass Transfer, 12, 89-94
  • 7. Dinarvand S., Hosseini R., 2011, Optimal homotopy asymptotic method for convective-radiative cooling of a lumped system, and convective straight fin with temperature-dependent thermal conductivity, Afrika Matematika, doi:10.1007/s13370-011-0043-9
  • 8. Fang T., Zhang J., Yao S., 2009, Slip MHD viscous flow over a stretching sheet – an exact solution, Communications in Nonlinear Science and Numerical Simulation, 14, 3731-3737
  • 9. Farzaneh-Gord M., Joneidi A.A., Haghighi B., 2010, Investigating the effects of the important parameters on MHD flow and heat transfer over a stretching sheet, Journal of Process Mechanical Engineering, Part E, 224, 1-9
  • 10. Gupta P.S., Gupta A.S., 1977, Heat and mass transfer on a stretching sheet with suction or blowing, Canadian Journal of Chemical Engineering, 55, 744-750
  • 11. Hayat T., Sajid M., 2007, Analytic solution for axisymmetric flow and heat transfer of a second grade fluid past a stretching sheet, International Journal of Heat and Mass Transfer, 50, 75-84
  • 12. Ishak A., Jafar K., Nazar R., Pop I., 2009, MHD stagnation point flow towards a stretching sheet, Physica A, 388, 3377-3383
  • 13. Javed, T., Abbas, Z., Sajid, M., Ali, N., 2012, Heat transfer analysis for a hydromagnetic viscous fluid over a non-linear shrinking sheet, International Journal of Heat and Mass Transfer, oi:10.1016/j.ijheatmasstransfer.2010.12.025 (in press)
  • 14. Joneidi A.A., Ganji D.D., Babaelahi M., 2009, Micropolar flow in a porous channel with high mass transfer, International Communications in Heat and Mass Transfer, 36, 1082-1088
  • 15. Kechil S.A., Hashim I., 2008, Series solution of flow over nonlinearly stretching sheet with chemical reaction and magnetic field, Physics Letters B, 372, 2258-2263
  • 16. Mamun A.A., Chowdhury Z.R., Azim M.A., Molla M.M., 2008, MHD-conjugate heat transfer analysis for a vertical flat plate in presence of viscous dissipation and heat generation, International Communications in Heat and Mass Transfer, 35, 1275-1280
  • 17. Marinca V., Herisanu N., 2008, Application of Optimal Homotopy Asymptotic Method for solving nonlinear equations arising in heat transfer, International Communications in Heat and Mass Transfer, 35, 710-715
  • 18. Marinca V., Herisanu N., Bota C., Marinca B., 2009, An optimal homotopy asymptotic method applied to the steady flow of a fourth-grade fluid past a porous plate, Applied Mathematics Letters, 22, 245-251
  • 19. McLeod B., Rajagopal K.R., 1987, On the non-uniqueness of the flow of a Navier-Stokes fluid due to stretching boundary, Archive for Rational Mechanics and Analysis, 98, 385-493
  • 20. Nadeem S., Hussain A., Khan M., 2010, HAM solutions for boundary layer flow in the region of the stagnation point towards a stretching sheet, Communications in Nonlinear Science and Numerical Simulation, 15, 475-481
  • 21. Nandeppanavar M.M., Vajravelu K., Subhas M.A., 2011, Heat transfer in MHD viscoelastic boundary layer flow over a stretching sheet with thermal radiation and non-uniform heat source/sink, Communications in Nonlinear Science and Numerical Simulation, 16, 3578-3590
  • 22. Rana P., Bhargava R., 2012, Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: A numerical study, Communications in Nonlinear Science and Numerical Simulation, 17, 212-226
  • 23. Robert A., Gorder V., Vajravelu K., 2011, Convective heat transfer in a conducting fluid over a permeable stretching surface with suction and internal heat generation/absorption, Applied Mathematics and Computation, 217, 5810-5821
  • 24. Sakiadis B.C., 1971, Boundary layer behavior on continuous solid surfaces: I boundary layer equations for two dimensional and axisymmetric flow, American Institute of Chemical Engineers, 61, 26-34
  • 25. Takhar H.S., Chamkha A.J., Nath G., 2000, Flow and mass transfer on a stretching sheet with a magnetic field and chemically reactive species, International Journal of Engineering Science, 38, 1303-1314
  • 26. Van Gorder R.A., Sweet E., Vajravelu K., 2010, Nano boundary layers over stretching surfaces, Communications in Nonlinear Science and Numerical Simulation, 15, 1494-1500
  • 27. Yazdi M.H., Abdullah S., Hashim I., Sopian K., 2011, Slip MHD liquid flow and heat transfer over non-linear permeable stretching surface with chemical reaction, International Journal of Heat and Mass Transfer, 54, 3214-3225
  • 28. Yazdi M.H., Abdullah S., Hashim I., Zaharim A., Sopian K., 2008, Friction and heat transfer in slip flow boundary layer at constant heat flux boundary conditions, Proceedings of the 10th WSEAS International Conference on Mathematical Methods, Computational Techniques and Intelligent Systems, Corfu, Greece, 207-214
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-3df14582-c2a2-4144-9063-1945cc836bdb
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