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Boundary layer analysis of persistent moving horizontal needle in Blasius and Sakiadis magnetohydrodynamic radiative nanofluid flows

  • Received : 2017.06.25
  • Accepted : 2017.07.28
  • Published : 2017.12.25

Abstract

The boundary layer of a two-dimensional forced convective flow along a persistent moving horizontal needle in an electrically conducting magnetohydrodynamic dissipative nanofluid was numerically investigated. The energy equation was constructed with Joule heating, viscous dissipation, uneven heat source/sink, and thermal radiation effects. We analyzed the boundary layer behavior of a continuously moving needle in Blasius (moving fluid) and Sakiadis (quiescent fluid) flows. We considered Cu nanoparticles embedded in methanol. The reduced system of governing Partial differential equations (PDEs) was solved by employing the Runge-Kutta-based shooting process. Computational outcomes of the rate of heat transfer and friction factors were tabulated and discussed. Velocity and temperature descriptions were examined with the assistance of graphical illustrations. Increasing the needle size did not have a significant influence on the Blasius flow. The heat transfer rate in the Sakiadis flow was high compared with that in the Blasius flow.

Keywords

References

  1. S.U.S. Choi, Enhancing thermal conductivity of fluids with nanoparticles, Proc. ASME Int. Mech. Eng. Cong. Exp. 66 (1995) 99-105.
  2. M. Agarwal, R.P. Chhabra, V. Eswaran, Laminar momentum and thermal boundary layers of power-law fluids over a slender cylinder, Chem. Eng. Sci. 57 (2002) 1331-1341. https://doi.org/10.1016/S0009-2509(02)00013-1
  3. M. Kumari, G. Nath, Mixed convection boundary layer flow over a thin vertical cylinder with localized injection/surjection and cooling/heating, Int. J. Heat Mass Transfer 47 (2004) 969-976. https://doi.org/10.1016/j.ijheatmasstransfer.2003.08.014
  4. A. Ishak, R. Nazar, I. Pop, Boundary layer flow over a continuously moving thin needle in a parallel free stream, Chin. Phys. Lett. 24 (2007) 2895-2897. https://doi.org/10.1088/0256-307X/24/10/051
  5. S. Ahmad, N.M. Arifin, R. Nazar, I. Pop, Mathematical modeling of boundary layer flow over a moving thin needle with variable heat flux, in: 12th WSEAS International Conference on Applied Mathematics, ACM digital library, 2007, pp. 48-53.
  6. H.S. Takhar, A.J. Chamkha, G. Nath, Combined heat and mass transfer along a vertical moving cylinder with a free stream, Heat Mass Transfer 36 (2000) 237-246. https://doi.org/10.1007/s002310050391
  7. T. Cebeci, T.Y. Na, Laminar free-convection heat transfer from a needle, Phys. Fluids 12 (1969) 463-465. https://doi.org/10.1063/1.1692503
  8. P.M. Patil, S. Roy, I. Pop, Unsteady effects on mixed convection boundary layer flow from a permeable slender cylinder due to non-linearly power law stretching, Comput. Fluids 56 (2012) 17-23. https://doi.org/10.1016/j.compfluid.2011.11.008
  9. R. Mehmood, S. Nadeem, S. Saleem, N.S. Akber, Flow and heat transfer analysis of a Jeffery nano fluid impinging obliquely over a stretched plate, J. Taiwan Inst. Chem. Eng. 74 (2017) 49-58. https://doi.org/10.1016/j.jtice.2017.02.001
  10. F.M. Hady, R. Mohamed, M.R. Abd-Elsalam, A. Mostafa Ahmed, The Blasius and Sakiadis flow in a nanofluids through porous medium in the presence of thermal radiation under a convective surface boundary condition, Int. J. Eng. Innov. Technol. 3 (2013) 225-243.
  11. O.D. Makinde, Analysis of Sakiadis flow of nanofluids with viscous dissipation and Newtonian heating, Appl. Math. Mech. 33 (2012) 1545-1554. https://doi.org/10.1007/s10483-012-1642-8
  12. O.D. Makinde, A. Aziz, Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition, Int. J. Therm. Sci. 50 (2011) 1326-1332. https://doi.org/10.1016/j.ijthermalsci.2011.02.019
  13. N. Sandeep, V. Sugunamma, P. Mohan Krishna, Effects of radiation on an unsteady natural convection flow of a EG-Nimonic 80a nanofluids past an infinite vertical plate, Adv. Phys. Theor. Appl. 23 (2013) 36-43.
  14. P. Mohan Krishna, V. Sugunamma, N. Sandeep, Radiation and magnetic field effects on unsteady natural convection flow of a nanofluid past an infinite vertical plate with heat source, Chem. Process. Eng. Res. 25 (2014) 39-52.
  15. N. Sandeep, Effect of aligned magnetic field on liquid thin film flow of magnetic-nanofluid embedded with graphene nanoparticles, Adv. Powder Technol. 28 (2017) 865-875. https://doi.org/10.1016/j.apt.2016.12.012
  16. P.O. Olanrewaju, J.A. Gbadeyan, O. Agboolanand, S.O. Abah, Radiation and viscous dissipation effects for the Blasius and Sakiadis flows with a convective surface boundary condition, Int. J. Adv. Sci. Technol. 2 (2010) 102-115.
  17. M. Awais, S. Saleem, T. Hayat, S. Irum, Hydromagnetic couple-stress nanofluid flow over a moving convective wall: OHAM analysis, Acta Astronaut 129 (2016) 271-276. https://doi.org/10.1016/j.actaastro.2016.09.020
  18. V. Ambethkar, Numerical solutions of heat and mass transfer effects of an unsteady MHD free convective flow past an infinite vertical plate with constant suction, J. Naval Architect. Marine Eng. 5 (2008) 7-36.
  19. S. Nadeem, A.U. Khan, S. Saleem, A comparative analysis on different nanofluid models for the oscillatory stagnation point flow, Eur. Phys. J. Plus 131 (2016) 261. https://doi.org/10.1140/epjp/i2016-16261-9
  20. P. Mohan Krishna, V. Sugunamma, N. Sandeep, Effects of radiation and chemical reaction on MHD boundary layer flow over a moving vertical porous plate with heat source, Adv. Phys. Theor. Appl. 26 (2013) 109-128.
  21. S.Y. Ibrahim, O.D. Makinde, Chemically reacting MHD boundary layer flow of heat and mass transfer over a moving vertical plate with suction, Sci. Res. Essays 5 (2010) 2875-2882.
  22. M. Sulochana, M.K. Kishore Kumar, N. Sandeep, Influence of aligned magnetic field on the flow through vertical surface in porous medium with heat source, Adv. Phys. Theor. Appl. 42 (2015) 33-45.
  23. E. Jones, M. Pravin Brijgopal, K. Rohan Ravindra, N. Sandeep, Aligned magnetic field, radiation and chemical reaction effects on MHD boundary layer flow over a moving vertical porous plate, Chem. Process. Eng. Res. 31 (2015) 89-103.
  24. W.A. Khan, I. Pop, Boundary layer flow of a nanofluid past a stretching sheet, Int. J. Heat Mass Transfer 53 (2010) 2477-2483. https://doi.org/10.1016/j.ijheatmasstransfer.2010.01.032
  25. K. Bhattacharya, S. Mukhopadhyay, G.C. Layek, Unsteady MHD boundary layer flow with diffusion and first order chemical reaction over a permeable stretching sheet with suction or blowing, Chem. Eng. Commun. 200 (2013) 379-397. https://doi.org/10.1080/00986445.2012.712577
  26. G.K. Ramesh, B.J. Gireesha, C.S. Bagewadi, Convective heat transfer in a dusty fluid over a permeable surface with thermal radiation, Int. J. Nonlinear Sci. 14 (2012) 243-250.
  27. S. Sharidan, J. Mahmood, I. Pop, Similarity solutions for the unsteady boundary layer flow and heat transfer due to a stretching sheet, Int. J. Appl. Mech. Eng. 11 (2006) 647-654.
  28. S. Siddiqa, Gul-e-Hina, N. Begum, S. Saleem, M.A. Hossain, R.S.R. Gorla, Numerical solution of nanofluid bioconvection due to gyrotactic microorganisms along a vertical wavy cone, Int. J. Heat Mass Transfer 101 (2016) 608-613. https://doi.org/10.1016/j.ijheatmasstransfer.2016.05.076
  29. M. Gnaneswara Reddy, N. Sandeep, Computational modelling and analysis of heat and mass transfer in MHD flow past the upper part of a paraboloid of revolution, Eur. Phys. J. Plus 132 (2017) 222. https://doi.org/10.1140/epjp/i2017-11483-y
  30. M. Jayachandra Babu, N. Sandeep, UCM flow across a melting surface in the presence of double stratification and cross-diffusion effects, J. Mol. Liquids 232 (2017) 27-35. https://doi.org/10.1016/j.molliq.2017.02.063
  31. G. Kumaran, N. Sandeep, Thermophoresis and Brownian moment effects on parabolic flow of MHD Casson and Williamson fluids with cross diffusion, J. Mol. Liquids 233 (2017) 262-269. https://doi.org/10.1016/j.molliq.2017.03.031

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