Effect of Nonlinear Thermal Radiation, Heat Source on MHD 3D Darcy-Forchheimer Flow of Nanofluid Over Aa Porous Medium with Chemical Reaction

  • Abstract
  • Keywords
  • References
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  • Abstract

    The present work nonlinear thermal radiation and chemical reaction effect on three-dimensional MHD flow of permeable medium analysed. We are considering introduce the Darcy-Forchheimer law along with axial and transverse velocity. Using suitable transportations the nonlinear partial differential equations are converted into ordinary differential equations. These equations are solved numerically by 4th Runge-Kutta-Fehlberg scheme with shooting procedure. We are getting unique numerical solution for distinct physical variables temperature and concentration fields are depicted. Also the heat transfer and skin friction coefficients drawn through numerical data. We are finding great results of the velocity profiles behaviors opposite trend of porosity and Forchheimer parameters, the profiles of and behavior reverse trend follows other than chemical reaction parameter, both directions of skin friction coefficient and heat transfer rates reduction.



  • Keywords

    Chemical reaction; Darcy-Forchheimer; Heat source; MHD; nonlinear Thermal radiation; Nanofluid; Porous medium.

  • References

      [1]. Darcy H (1856), Les fontaines publiques de la ville de Dijon, Victor Dalmont, Paris.

      [2]. Forchheimer P (1901), Wasserbewegung durch boden, Zeitschrift, Ver D. Ing. 45, 1782–1788.

      [3]. Mahammad T, Alsaedi A, Shehzad SA, Hayat T, (2017), A revised model for Darcy-Forchhiemer flow of Maxwell nanofluid subject to convective boundary condition. Chines Journal of Physics, 55, 963-9.

      [4]. Hayat T, Qayyum S, Shehzad SA, Alsaedi A (2017), Magnetohydrodynamic three-dimensional nonlinear convection flow of Oldroyd-B nanoliquid with heat generation/absorption, J. Mole. Liq. 230, 641–651.

      [5]. Hayat T, Haider F, Muhammad T, Alsaedi A (2017), Darcy-Forchheimer flow with cattaneo-christov heat flux and homogeneous heterogeneous reactions, PLOS ONE, 12, 4, 1-18.

      [6]. Hayat T, Shah F, Alsaedi A, Khan MI (2017), Development of homogeneous/heterogeneous reaction in flow based through non-Darcy Forchheimer medium, J. Theoretical Comp. Chem. 16, 5, 1-21.

      [7]. Hayat T, Khan MI, Farooq M, Alsaedi A, Yasmeen T (2017), Impact of Marangoni convection in the flow of carbon–water nanofluid with thermal radiation, Int. J. Heat Mass Transfer, 106,810–815

      [8]. Harish Babu D, Satya Narayana PV (2016), Joule heating effects on MHD mixed convection of a Jeffrey fluid over a stretching sheet with power law heat flux: A Numerical Study, J. Magn. Magnet. Mater. 412,185-193.

      [9]. Rana S, Mehmood R, Narayana PVS, Akbar NS (2016), free convective nonaligned non-Newtonian flow with non-linear thermal radiation, Commun. Theor. Phys. 66, 687–693.

      [10]. Sadiq MA, Waqas M, Hayat T (2017), Importance of Darcy-Forchheimer relation in chemically reactive radiating flow towards convectively heated surface, J. Mole. Liq. 248, 1071–1077.

      [11]. Ramzan M, Chung JD, Ullah N (2017), Radiative magnetohydrodynamic nanofluid flow due to gyrotactic microorganisms with chemical reaction and non-linear thermal radiation, Int. J. Mech. Sci. 130, 31–40.

      [12]. Makinde OD, Animasaun IL (2016), Bioconvection in MHD nanofluid flow with nonlinear thermal radiation and quartic autocatalysis chemical reaction past an upper surface of a paraboloid of revolution, Int. J. Thermal Sci. 109, 159-171.

      [13]. M. Khan, M.Y. Malik, T. Salahuddin, Rehman KU, Naseer M, khan I (2017), MHD flow of Williamson nanofluid over a cone and plate with chemically reactive species, J. Mole. Liq. 231, 580–588.

      [14]. Zhao Q, Xu H, Tao L (2017), Unsteady bioconvection squeezing flow in a horizontal channel with chemical reaction and magnetic field effects, Math. Problems Eng. 1-10. https://doi.org/10.1155/2017/2541413.

      [15]. Mustafa M, Khan JA, Hayat T (2017), Alsaedi A, Buoyancy effects on the MHD nanofluid flow past a vertical surface with chemical reaction and activation energy, Int. J. Heat Mass Transfer, 108, 1340–1346.

      [16]. Satya Narayana PV (2017), Lie group analysis for the flow and heat transfer of a nanofluid over a stretching sheet with viscous dissipation, J. Nanofluids, 6, 1181-1187.

      [17]. Kandasamy R, Mohammad R, Zailani NABM, Jaafar NFB (2017), Nanoparticle shapes on squeezed MHD nanofluid flow over a porous sensor surface, J. Mole. Liq. 233, 156–165.

      [18]. Sivaraj C, Sheremet MA (2017), MHD natural convection in an inclined square porous cavity with a heat conducting solid block, J. Magn. Magnet. Mater. 426, 351–360.

      [19]. Kandasamy R, Dharmalingam R, Sivagnana Prabhu KK (2017), Thermal and solutal stratification on MHD nanofluid flow over a porous vertical plate, Alexandria Eng. J. 1-10.

      [20]. Sudarsana Reddy P, Chamkha AJ, Mudhaf AA (2017), MHD heat and mass transfer flow of a nanofluid over an inclined vertical porous plate with radiation and heat generation/absorption, Advanced Powder Tech. 28, 1008–1017.

      [21]. Satya Narayana PV, Tarakaramu N, Akshit SM, Ghori JP (2017), MHD flow and heat transfer of an eyring - powell fluid over a linear stretching sheet with viscous dissipation - a numerical study, Frontiers Heat Mass Transfer, 9, 9, 1-5.

      [22]. Brewster MQ (1972), Thermal radiative transfer properties, Wiley, New York.




Article ID: 21293
DOI: 10.14419/ijet.v7i4.10.21293

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