Heat transport features of magnetic water-graphene oxide nanofluid flow with thermal radiation: stability test.

*(English)*Zbl 07073390Summary: This paper documents the incompressible hydro-magnetic flow and heat transfer analysis of water-graphene oxide (GO) nanofluid. More exactly, the nanofluid flow occurs along a thin needle moving axially. Despite the fact that there seems to be various works on the subject in the existing literature, however, very few studies have been carried out to investigate the dual numerical solution for such flow. Consequently, the inspiration here is to look for dual numerical solutions for such a non-linear phenomenon along with the stability analysis of computed solutions. The governing coupled equations representing the mathematical formulation of the current physical problem were obtained from the equation of motion and the mass and the energy conservations by taking steady and incompressible flow. The numerical solution of governing set of simultaneous ordinary differential equations is computed with the assistance of Matlab solver bvp4c. This research aims at revealing the conceivable impacts of existing fluid interaction parameters on non-dimensional velocity and temperature distributions. These computations exhibit that more than one solution is possible only in case of flow over shrinking needle for certain combinations of the parameters. The result shows that the skin friction coefficient increases in both solutions with higher nanoparticles volume fraction. Furthermore, an enhancement in local Nusselt number is noted as the thermal radiation parameter increases.

##### MSC:

76 | Fluid mechanics |

##### Keywords:

GO (grapheme oxide) nanoparticles; magnetic flow; thermal radiation; thin needle; stability analysis
PDF
BibTeX
XML
Cite

\textit{A. Hamid} et al., Eur. J. Mech., B, Fluids 76, 434--441 (2019; Zbl 07073390)

Full Text:
DOI

##### References:

[1] | Choi, S. U.S., Enhancing thermal conductivity of fluids with nanoparticles, ASME Publ. Fed., 231, 99-106, (1995) |

[2] | Khan, W. A.; Pop, I., Boundary-layer flow of a nanofluid past a stretching sheet, Int. J. Heat Mass Transfer, 53, 2477-2483, (2010) · Zbl 1190.80017 |

[3] | Rashad, A. M.; Chamkha, A. J.; Modather, M., Mixed convection boundary-layer flow past a horizontal circular cylinder embedded in a porous medium filled with a nanofluid under convective boundary condition, Comput. & Fluids, 86, 380-388, (2013) · Zbl 1290.76147 |

[4] | Zargartalebi, H.; Ghalambaz, M.; Noghrehabadi, A.; Chamkha, A., Stagnation-point heat transfer of nanofluids toward stretching sheets with variable thermo-physical properties, Ad. Powd. Tech., 26, 819-829, (2015) |

[5] | Sandeep, N.; Kumar, B. R.; Kumar, M. S.J., A comparative study of convective heat and mass transfer in non-Newtonian nanofluid flow past a permeable stretching sheet, J. Mol. Liq., 212, 585-591, (2015) |

[6] | Mabood, F.; Khan, W.; Ismail, A. M., MHD boundary layer flow and heat transfer of nanofluids over a nonlinear stretching sheet: A numerical study, J. Magn. Magn. Mater., 374, 569-576, (2015) |

[7] | Pourmehran, O.; Gorji, M. R.; Ganji, D. D., Heat transfer and flow analysis of nanofluid flow induced by a stretching sheet in the presence of an external magnetic field, J. Taiwan Inst. Chem. Eng., 65, 162-171, (2016) |

[8] | Valipour, P.; Moradi, R.; Aski, F. S., CNT-water nanofluid thermal radiation heat transfer over a stretching sheet considering heat generation, J. Mol. Liq., 237, 242-246, (2017) |

[9] | Das, K.; Sarkar, A.; Kundu, P. K., Cu-water nanofluid flow induced by a vertical stretching sheet in presence of a magnetic field with convective heat transfer, Propuls. Power Res., 6, 206-213, (2017) |

[10] | Jahan, S.; Sakidin, H.; Nazar, R.; Pop, I., Unsteady flow and heat transfer past a permeable stretching/shrinking sheet in a nanofluid: A revised model with stability and regression analyses, J. Mol. Liq., 261, 550-564, (2018) |

[11] | Eid, M. R.; Mahny, K. L., Unsteady MHD heat and mass transfer of a non-newtonian nanofluid flow of a two-phase model over a permeable stretching wall with heat generation/absorption, Ad. Powd. Tech., 28, 3063-3073, (2017) |

[12] | Gupta, S.; Kumar, D.; Singh, J., MHD mixed convective stagnation point flow and heat transfer of an incompressible nanofluid over an inclined stretching sheet with chemical reaction and radiation, Int. J. Heat Mass Transfer, 118, 378-387, (2018) |

[13] | Lee, L. L., Boundary layer over a thin needle, Phys. Fluids, 10, (1967) · Zbl 0158.23204 |

[14] | Narian, J. P.; Uberoi, M. S., Combined forced and free-convection over thin needles, Int. J. Heat Mass Transfer, 16, 1505-1512, (1972) |

[15] | Ishak, A.; Nazar, R.; Pop, I., Boundary layer flow over a continuously moving thin needle in a parallel free stream, Chin. Phys. Lett., 24, 2895-2897, (2007) |

[16] | Ahmad, S.; Arifin, N. M.; Nazar, R.; Pop, I., Mixed convection boundary layer flow along vertical thin needles: assisting and opposing flows, Int. Commun. Heat Mass Transfer, 35, 157-162, (2008) |

[17] | Hayat, T.; I. Khan, M.; Farooq, M.; Yasmeen, T.; Alsaedi, A., Water-carbon nanofluid flow with variable heat flux by a thin needle, J. Mol. Liq., 224, 786-791, (2016) |

[18] | Soid, S. K.; Ishak, A.; Pop, I., Boundary layer flow past a continuously moving thin needle in a nanofluid, Appl. Therm. Eng., 114, 58-64, (2017) |

[19] | Sulochana, C.; Samrat, S. P.; Sandeep, N., Boundary layer analysis of an incessant moving needle in MHD radiative nanofluid with joule heating, Int. J. Mech. Sci., 128-129, 326-331, (2017) |

[20] | Chamkha, A. J., Coupled heat and mass transfer by natural convection about a truncated cone in the presence of magnetic field and radiation effects, Numer. Heat Transfer, 39, 511-530, (2001) |

[21] | El-Aziz, M. A., Radiation effect on the flow and heat transfer over an unsteady stretching sheet, Int. Commun. Heat Mass Transfer, 36, 521-524, (2009) |

[22] | Pal, D., Hall current and MHD effects on heat transfer over an unsteady stretching permeable surface with thermal radiation, Comput. Math. Appl., 66, 1161-1180, (2013) · Zbl 1381.76411 |

[23] | Yasin, M. H.M.; Ishak, A.; Pop, I., MHD heat and mass transfer flow over a permeable stretching/shrinking sheet with radiation effect, J. Magn. Magn. Mater., 407, 235-240, (2016) |

[24] | Dogonchi, A. S.; Divsalar, K.; Ganji, D. D., Flow and heat transfer of MHD nanofluid between parallel plates in the presence of thermal radiation, Comput. Methods Appl. Mech. Engrg., 310, 58-76, (2016) |

[25] | Khan, M.; Hashim; Hafeez, A., A review on slip-flow and heat transfer performance of nanofluids from a permeable shrinking surface with thermal radiation: Dual solutions, Chem. Eng. Sci., 173, 1-11, (2017) |

[26] | Khan, M.; Hamid, A., Influence of non-linear thermal radiation on 2D unsteady flow of a Williamson fluid with heat source/sink, Res. Phys., 7, 3968-3975, (2017) |

[27] | Reddy, P. S.; Chamkha, A. J.; Mudhaf, A. A., MHD heat and mass transfer flow of a nanofluid over an inclined vertical porous plate with radiation and heat generation/absorption, Ad. Powd. Tech., 28, 1008-1017, (2017) |

[28] | Hashim A. Hamid; Khan, M.; Khan, U., Thermal radiation effects on Williamson fluid flow due to an expanding/contracting cylinder with nanomaterials: Dual solutions, Phys. Lett. A, 382, 1982-1991, (2018) |

[29] | Hashim M. Khan; Huda, N. U.; Hamid, A., Non-linear radiative heat transfer analysis during the flow of Carreau nanofluid due to wedge-geometry: A revised model, Int. J. Heat Mass Transfer, 131, 1022-1031, (2019) |

[30] | Khan, W. A.; Rashad, A. M.; Abdou, M. M.M.; Tlili, I., Natural bioconvection flow of a nanofluid containing gyrotactic microorganisms about a truncated cone, Eur. J. Mech. B, 75, 133-142, (2019) |

[31] | Takhar, H. S.; Chamkha, A. J.; Nath, G., Unsteady flow and heat transfer on a semi-infinite flat plate with aligned magnetic field, Internat. J. Engrg. Sci., 37, 1723-1736, (1999) |

[32] | Takhar, H. S.; Chamkha, A. J.; Nath, G., Flow and heat transfer on a stretching surface in a rotating fluid with a magnetic field, Int. J. Therm. Sci., 42, 23-31, (2000) |

[33] | Chamkha, A. J.; Khaled, A. R.A., Hydromagnetic combined heat and mass transfer by natural convection from a permeable surface embedded in a fluid-saturated porous medium, Internat. J. Numer. Methods Heat Fluid Flow, 10, 455-477, (2000) · Zbl 1002.76105 |

[34] | Takhar, H. S.; Chamkha, A. J.; Nath, G., Unsteady mixed convection flow from a rotating vertical cone with a magnetic field, Heat Mass Transf., 39, 297-304, (2003) |

[35] | Chamkha, A. J.; Mudhaf, A. A., Unsteady heat and mass transfer from a rotating vertical cone with a magnetic field and heat generation or absorption effects, Int. J. Therm. Sci., 44, 267-276, (2005) |

[36] | Ahmad, S.; Chishtie, F.; Mahmood, A., Analytical technique for magnetohydrodynamic (MHD) fluid flow of a periodically accelerated plate with slippage, Eur. J. Mech. B, 65, 192-198, (2017) · Zbl 1408.76568 |

[37] | Ellahi, R.; Alamri, S. Z.; Basit, A.; Majeed, A., Effects of mhd and slip on heat transfer boundary layer flow over a moving plate based on specific entropy generation, J. Taibah Univ. Sci., 12, 476-482, (2018) |

[38] | Das, S.; Tarafdar, B.; Jana, R. N., Hall effects on unsteady MHD rotating flow past a periodically accelerated porous plate with slippage, Eur. J. Mech. B, 72, 135-143, (2018) · Zbl 1408.76572 |

[39] | Yousif, M. A.; Ismael, H. F.; Abbas, T.; Ellahi, R., Numerical study of momentum and heat transfer of MHD carreau nanofluid over exponentially stretched plate with internal heat source/sink and radiation, Heat Transf. Res., 50, 649-658, (2019) |

[40] | Tiwari, R. K.; Das, M. K., Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids, Int. J. Heat Mass Transfer, 50, 2002-2018, (2007) · Zbl 1124.80371 |

[41] | Azimi, M.; Riazi, R., Go-water nanofluid inside semi porous channel: analytical investigation, World J. Eng., 12, 103-108, (2015) |

[42] | Brinkman, H. C., The viscosity of concentrated suspensions and solutions, J. Chem. Phys., 20, 4, 571, (1952) |

[43] | Harris, S. D.; Ingham, D. B.; Pop, I., Mixed convection boundary-layer flow near the stagnation point on a vertical surface in a porous medium: Brinkman model with slip, Transp. Porous Media, 77, 267-285, (2009) |

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.