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RBF-FD Solution of Natural Convection Flow of a Nanofluid in a Right Isosceles Triangle Under the Effect of Inclined Periodic Magnetic Field

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Mathematical Methods for Engineering Applications (ICMASE 2022)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 414))

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Abstract

In this study, numerical simulation of natural convection flow of Cu-water nanofluid flow in a right triangular cavity under the influence of an inclined periodic magnetic field is conducted. Two-dimensional and steady dimensionless governing equations are considered in stream function-vorticity form. Radial basis function based finite difference (RBF-FD) method augmented with polynomial terms is utilized. The pertinent parameters Hartmann number, inclination angle and period of magnetic field are observed in numerical results. Horizontal periodic magnetic field coming through the vertical left wall having a heater suppresses fluid flow and heat transfer significantly comparing to other inclination angles of magnetic field. In this situation of magnetic field, period one also has more inhibitive effect than the periods less than one.

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References

  1. Choi, S.U.S., Eastman, J.A.: Enhancement thermal conductivity of fluids with nanoparticles, Proceedings of the 1995 ASME international mechanical engineering congress and exposition, 66, 99–105 (1995).

    Google Scholar 

  2. Ghalambaz, M., Sheremet, M.A., Pop, I.: Free Convection in a Parallelogrammic Porous Cavity Filled with a Nanofluid Using Tiwari and Das’ Nanofluid Model. Plos One 1–17 (2015).

    Google Scholar 

  3. Sheremet, M.A., Oztop, H.F., Pop, I.: MHD natural convection in an inclined wavy cavity with corner heater filled with a nanofluid. J. Magn. Magn. Mater. 416, 37–47 (2016).

    Article  Google Scholar 

  4. Izadi, M., Hoghoughi, G., Mohebbi, R., Sheremet, M.: Nanoparticle migration and natural convection heat transfer of Cu-water nanofluid inside a porous undulant-wall enclosure using LTNE and two-phase model. J. Mol. Liq. 261, 357–372 (2018).

    Article  Google Scholar 

  5. Dutta, S., Goswami, N., Biswas, A.K., Pati, S.: Numerical investigation of magnetohydrodynamic natural convection heat transfer and entropy generation in a rhombic enclosure filled with Cu-water nanofluid. Int. J. Heat Mass Transf. 136, 777–798 (2019).

    Article  Google Scholar 

  6. Sheikzadeh, G.A., Arefmanesh, A., Kheirkhah, M.H., Abdollahi, R.: Natural convection of Cu-water nanofluid in a cavity with partially active side walls. Eur. J. Mech. B Fluids 30, 166–176 (2011).

    Article  MATH  Google Scholar 

  7. Hussein, A.K., Mustafa, A.W.: Natural convection in a parabolic enclosure with an internal vertical heat source filled with Cu-water nanofluid. Heat Transfer - Asian Res. 47, 320–336 (2018).

    Article  Google Scholar 

  8. Ghalambaz, M., Mehryan, S.A.M., Izadpanahi, E., Chamkha, A.J., Wen, D.: MHD natural convection of \(\text{ Cu-Al}_2\text{O}_3\) water hybrid nanofluids in a cavity equally divided into two parts by a vertical flexible partition membrane. J. Therm. Anal. Calorim. 138, 1723–1743 (2019).

    Article  Google Scholar 

  9. Brinkman, H.C.: The viscosity of concentrated suspensions and solutions. J. Chem. Phys. 3, 571-581 (1952).

    Article  Google Scholar 

  10. Xue, Q. Z.: Model for thermal conductivity of carbon nanotube-based composites. Physica B 368, 302–307 (2005).

    Article  Google Scholar 

  11. Maxwell-Garnett, J.C.: Colors in metal glasses and in metallic films. Phil. Trans. R. Soc. A 203, 385-420 (1904).

    MATH  Google Scholar 

  12. Pekmen Geridonmez, B., Oztop, H.F.: The effect of inclined periodic magnetic field on natural convection flow of Al2O3-Cu/water nanofluid inside right isosceles triangular closed spaces, Eng. Anal. Bound. Elem. 141, 222–234 (2022).

    Article  MathSciNet  MATH  Google Scholar 

  13. Fasshauer, G.E.: Meshfree Approximation Methods with Matlab. World Scientific Publications, Singapore (2007).

    Book  MATH  Google Scholar 

  14. Fasshauer, G.E. and McCourt, M.: Kernel-based Approximation Methods using MATLAB. World Scientific Publications, Singapore (2015).

    Book  MATH  Google Scholar 

  15. Flyer, N., Barnett, G. A., Wicker, L.J.: Enhancing finite differences with radial basis functions: Experiments on the Navier-Stokes equations, J. Comput. Phys. 316, 39–62 (2016).

    Article  MathSciNet  MATH  Google Scholar 

  16. An Rbf-Fd implementation example : https://github.com/IgorTo/rbf-fd.

  17. Shahane, S., Radhakrishnan, A., Vanka, S.P.: A high-order accurate meshless method for solution of incompressible fluid flow problems. J. Comput. Phys. 445, 110623 (2021).

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to Bengisen Pekmen Geridonmez .

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Pekmen Geridonmez, B. (2023). RBF-FD Solution of Natural Convection Flow of a Nanofluid in a Right Isosceles Triangle Under the Effect of Inclined Periodic Magnetic Field. In: Yilmaz, F., Queiruga-Dios, A., Martín Vaquero, J., Mierluş-Mazilu, I., Rasteiro, D., Gayoso Martínez, V. (eds) Mathematical Methods for Engineering Applications. ICMASE 2022. Springer Proceedings in Mathematics & Statistics, vol 414. Springer, Cham. https://doi.org/10.1007/978-3-031-21700-5_2

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