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Year 2018, Special Issue 7: International Conference on Energy and Thermal Engineering Istanbul 2017 (ICTE 2017), 1756 - 1769, 20.12.2017

Bengisen Pekmen Geridönmez

https://doi.org/10.18186/journal-of-thermal-engineering.369169
Cited By: 6

Abstract

References

  • [1] Khanafer, K., Vafai, K., & Lightstone, M. (2003). Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids. International journal of heat and mass transfer, 46(19), 3639-3653.
  • [2] Tiwari, R. K., & Das, M. K. (2007). Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids. International Journal of Heat and Mass Transfer, 50(9), 2002-2018.
  • [3] Muthtamilselvan, M., Kandaswamy, P., & Lee, J. (2010). Heat transfer enhancement of copper-water nanofluids in a lid-driven enclosure. Communications in Nonlinear Science and Numerical Simulation, 15(6), 1501-1510.
  • [4] Sheremet, M. A., Oztop, H. F., Pop, I., & Al-Salem, K. (2016). MHD free convection in a wavy open porous tall cavity filled with nanofluids under an effect of corner heater. International Journal of Heat and Mass Transfer, 103, 955-964.
  • [5] Kandelousi, M. S. (2014). KKL correlation for simulation of nanofluid flow and heat transfer in a permeable channel. Physics Letters A, 378(45), 3331-3339.
  • [6] Turkyilmazoglu, M. (2016). Natural convective flow of nanofluids past a radiative and impulsive vertical plate. Journal of Aerospace Engineering, 29(6), 04016049.
  • [7] Turkyilmazoglu, M. (2017). Condensation of laminar film over curved vertical walls using single and two-phase nanofluid models. European Journal of Mechanics-B/Fluids, 65, 184-191.
  • [8] Sheikholeslami, M., Hayat, T., & Alsaedi, A. (2017). Numerical simulation of nanofluid forced convection heat transfer improvement in existence of magnetic field using lattice Boltzmann method. International Journal of Heat and Mass Transfer, 108, 1870-1883.
  • [9] Sheikholeslami, M., & Rokni, H. B. (2017). Nanofluid two phase model analysis in existence of induced magnetic field. International Journal of Heat and Mass Transfer, 107, 288-299.
  • [10] Geridonmez, B. P. (2016). RBF simulation of natural convection in a nanofluid-filled cavity. AIMS Mathematics, 1(3), 195-207.
  • [11] Tzirtzilakis, E. E., & Xenos, M. A. (2013). Biomagnetic fluid flow in a driven cavity. Meccanica, 48(1), 187-200.
  • [12] Aminfar, H., Mohammadpourfard, M., & Zonouzi, S. A. (2013). Numerical study of the ferrofluid flow and heat transfer through a rectangular duct in the presence of a non-uniform transverse magnetic field. Journal of Magnetism and Magnetic materials, 327, 31-42.
  • [13] Ghasemian, M., Ashrafi, Z. N., Goharkhah, M., & Ashjaee, M. (2015). Heat transfer characteristics of Fe 3 O 4 ferrofluid flowing in a mini channel under constant and alternating magnetic fields. Journal of Magnetism and Magnetic Materials, 381, 158-167.
  • [14] Kefayati, G. H. R. (2014). Natural convection of ferrofluid in a linearly heated cavity utilizing LBM. Journal of Molecular Liquids, 191, 1-9.
  • [15] Kefayati, G. R. (2014). Simulation of ferrofluid heat dissipation effect on natural convection at an inclined cavity filled with kerosene/cobalt utilizing the Lattice Boltzmann method. Numerical Heat Transfer, Part A: Applications, 65(6), 509-530.
  • [16] Sheikholeslami, M., & Ganji, D. D. (2014). Ferrohydrodynamic and magnetohydrodynamic effects on ferrofluid flow and convective heat transfer. Energy, 75, 400-410.
  • [17] Kandelousi, M. S. (2014). Effect of spatially variable magnetic field on ferrofluid flow and heat transfer considering constant heat flux boundary condition. The European Physical Journal Plus, 129(11), 248.
  • [18] Sheikholeslami, M., Rashidi, M. M., & Ganji, D. D. (2015). Numerical investigation of magnetic nanofluid forced convective heat transfer in existence of variable magnetic field using two phase model. Journal of Molecular Liquids, 212, 117-126.
  • [19] Sheikholeslami, M., & Rashidi, M. M. (2015). Ferrofluid heat transfer treatment in the presence of variable magnetic field. The European Physical Journal Plus, 130(6), 115.
  • [20] Sheikholeslami, M., & Shehzad, S. A. (2017). Thermal radiation of ferrofluid in existence of Lorentz forces considering variable viscosity. International Journal of Heat and Mass Transfer, 109, 82-92.
  • [21] Sheikholeslami, M., Ellahi, R., & Vafai, K. (2017). Study of Fe 3 O 4-water nanofluid with convective heat transfer in the presence of magnetic source. Alexandria Engineering Journal.
  • [22] Sheikholeslami, M. (2016). Magnetic source impact on nanofluid heat transfer using CVFEM. Neural Computing and Applications, 1-10.
  • [23] Sheikholeslami, M. (2017). Influence of Coulomb forces on Fe 3 O 4–H 2 O nanofluid thermal improvement. International Journal of Hydrogen Energy, 42(2), 821-829.
  • [24] Sheikholeslami, M., & Shamlooei, M. (2017). Fe 3 O 4–H 2 O nanofluid natural convection in presence of thermal radiation. International Journal of Hydrogen Energy, 42(9), 5708-5718.
  • [25] Sheikholeslami, M. (2017). Magnetic field influence on nanofluid thermal radiation in a cavity with tilted elliptic inner cylinder. Journal of Molecular Liquids, 229, 137-147.
  • [26] Sheikholeslami, M., & Shehzad, S. A. (2017). Thermal radiation of ferrofluid in existence of Lorentz forces considering variable viscosity. International Journal of Heat and Mass Transfer, 109, 82-92.
  • [27] Sheikholeslami, M., Hayat, T., & Alsaedi, A. (2017). Numerical study for external magnetic source influence on water based nanofluid convective heat transfer. International Journal of Heat and Mass Transfer, 106, 745-755.
  • [28] Sheikholeslami, M., & Rokni, H. B. (2017). Numerical modeling of nanofluid natural convection in a semi annulus in existence of Lorentz force. Computer Methods in Applied Mechanics and Engineering, 317, 419-430.
  • [29] Malik, S., & Nayak, A. K. (2017). MHD convection and entropy generation of nanofluid in a porous enclosure with sinusoidal heating. International Journal of Heat and Mass Transfer, 111, 329-345.
  • [30] Sheikholeslami, M. (2015). Effect of uniform suction on nanofluid flow and heat transfer over a cylinder. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 37(6), 1623-1633.
  • [31] Sheikholeslami, M. (2016). CVFEM for magnetic nanofluid convective heat transfer in a porous curved enclosure. European Physical Journal Plus, 131(11).
  • [32] Sheikholeslami, M. (2017). Numerical simulation of magnetic nanofluid natural convection in porous media. Physics Letters A, 381(5), 494–503.
  • [33] Sheikholeslami, M., & Ganji, D. D. (2017). Numerical approach for magnetic nanofluid flow in a porous cavity using CuO nanoparticles. Materials & Design, 120, 382–393.
  • [34] Sheikholeslami, M., & Bhatti, M. M. (2017). Forced convection of nanofluid in presence of constant magnetic field considering shape effects of nanoparticles. International Journal of Heat and Mass Transfer, 111, 1039–1049.
  • [35] Sheikholeslami, M. (2017). CuO-water nanofluid free convection in a porous cavity considering Darcy law. European Physical Journal Plus, 132(1).
  • [36] Sheikholeslami, M. (2017). Numerical simulation of magnetic nanofluid natural convection in porous media. Physics Letters A, 381(5), 494–503.
  • [37] Sheikholeslami, M. (2017). Influence of magnetic field on nanofluid free convection in an open porous cavity by means of Lattice Boltzmann method. Journal of Molecular Liquids, 234, 364-374.
  • [38] Sheikholeslami, M. (2017). Magnetohydrodynamic nanofluid forced convection in a porous lid driven cubic cavity using Lattice Boltzmann method. Journal of Molecular Liquids, 231, 555-565.
  • [39] Sheikholeslami, M. (2017). Influence of Lorentz forces on nanofluid flow in a porous cylinder considering Darcy model. Journal of Molecular Liquids, 225, 903–912.
  • [40] Sheikholeslami, M., & Bhatti, M. M. (2017). Forced convection of nanofluid in presence of constant magnetic field considering shape effects of nanoparticles. International Journal of Heat and Mass Transfer, 111, 1039–1049.
  • [41] Sheikholeslami, M., & Shehzad, S. A. (2017). Magnetohydrodynamic nanofluid convection in a porous enclosure considering heat flux boundary condition. International Journal of Heat and Mass Transfer, 106, 1261–1269.
  • [42] Sheikholeslami, M., & Zeeshan, A. (2017). Analysis of flow and heat transfer in water based nanofluid due to magnetic field in a porous enclosure with constant heat flux using CVFEM. Computer Methods in Applied Mechanics and Engineering, 320, 68–81.
  • [43] Sheikholeslami, M. (2017). Lattice Boltzmann method simulation for MHD non-Darcy nanofluid free convection. Physica B: Condensed Matter, 516, 55–71.
  • [44] Oztop, H. F., Selimefendigil, F., Abu-Nada, E., & Al-Salem, K. (2016). Recent developments of computational methods on natural convection in curvilinear shaped enclosures. Journal of Thermal Engineering, 2(2), 693-698 . [45] Lazarus, G., Roy, S., Kunhappan, D., Cephas, E., & Wongwises, S. (2015). Heat transfer performance of silver/water nanofluid in a solar flat-plate collector. Journal of Thermal Engineering, 1(2), 104-112.
  • [46] Birkman, H. C. (1952). The viscosity of concentrated suspensions and solution. The Journal of Chemical Physics, 20, 571.
  • [47] Maxwell-Garnett, J.C, (1904). Colors in metal glasses and in metallic films. Philosophical Transactions of the Royal Society A, 203, 385-420.
  • [48] Fasshauer, G.E. Meshfree Approximation Methods with Matlab; World Scientific Publications, Singapore, 2007.
  • [49] Fasshauer, G.E.; McCourt, M. Kernel-based Approximation Methods using MATLAB; World Scientific Publications, Singapore, 2015.
  • [50] Ramakrishna, D., Basak, T., Roy, S., & Pop, I. (2012). Numerical study of mixed convection within porous square cavities using Bejan’s heatlines: Effects of thermal aspect ratio and thermal boundary conditions. International Journal of Heat and Mass Transfer, 55(21–22), 5436–5448.
  • [51] De Vahl Davis, G. (1983). Natural convection of air in a square cavity: A bench mark numerical solution. International Journal for Numerical Methods in Fluids, 3(3), 249–264.

NUMERICAL SIMULATION OF NATURAL CONVECTION IN A POROUS CAVITY FILLED WITH FERROFLUID IN PRESENCE OF MAGNETIC SOURCE

Year 2018, Special Issue 7: International Conference on Energy and Thermal Engineering Istanbul 2017 (ICTE 2017), 1756 - 1769, 20.12.2017

Bengisen Pekmen Geridönmez

https://doi.org/10.18186/journal-of-thermal-engineering.369169
Cited By: 6

Abstract

In this study, numerical simulation of natural convection in a porous square cavity filled with Fe3O4-water is investigated. A magnetic source through the left wall of the cavity is also taken into account. Radial basis function based pseudo spectral (RBF-PS) method is applied. The effects of dimensionless parameters Darcy (Da), Hartmann (Ha), Rayleigh (Ra) numbers and solid volume fraction 𝝓 are presented both in terms of streamlines, isotherms and vorticity contours and average Nusselt number through the heated wall. Convective heat transfer is inhibited with the rise of Ha, and with the decrease in Da while it is enhanced with the increase in 𝝓 and Ra.

Keywords

Ferrofluid Porous Media Natural Convection Radial Basis Functions Magnetic Source

References

  • [1] Khanafer, K., Vafai, K., & Lightstone, M. (2003). Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids. International journal of heat and mass transfer, 46(19), 3639-3653.
  • [2] Tiwari, R. K., & Das, M. K. (2007). Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids. International Journal of Heat and Mass Transfer, 50(9), 2002-2018.
  • [3] Muthtamilselvan, M., Kandaswamy, P., & Lee, J. (2010). Heat transfer enhancement of copper-water nanofluids in a lid-driven enclosure. Communications in Nonlinear Science and Numerical Simulation, 15(6), 1501-1510.
  • [4] Sheremet, M. A., Oztop, H. F., Pop, I., & Al-Salem, K. (2016). MHD free convection in a wavy open porous tall cavity filled with nanofluids under an effect of corner heater. International Journal of Heat and Mass Transfer, 103, 955-964.
  • [5] Kandelousi, M. S. (2014). KKL correlation for simulation of nanofluid flow and heat transfer in a permeable channel. Physics Letters A, 378(45), 3331-3339.
  • [6] Turkyilmazoglu, M. (2016). Natural convective flow of nanofluids past a radiative and impulsive vertical plate. Journal of Aerospace Engineering, 29(6), 04016049.
  • [7] Turkyilmazoglu, M. (2017). Condensation of laminar film over curved vertical walls using single and two-phase nanofluid models. European Journal of Mechanics-B/Fluids, 65, 184-191.
  • [8] Sheikholeslami, M., Hayat, T., & Alsaedi, A. (2017). Numerical simulation of nanofluid forced convection heat transfer improvement in existence of magnetic field using lattice Boltzmann method. International Journal of Heat and Mass Transfer, 108, 1870-1883.
  • [9] Sheikholeslami, M., & Rokni, H. B. (2017). Nanofluid two phase model analysis in existence of induced magnetic field. International Journal of Heat and Mass Transfer, 107, 288-299.
  • [10] Geridonmez, B. P. (2016). RBF simulation of natural convection in a nanofluid-filled cavity. AIMS Mathematics, 1(3), 195-207.
  • [11] Tzirtzilakis, E. E., & Xenos, M. A. (2013). Biomagnetic fluid flow in a driven cavity. Meccanica, 48(1), 187-200.
  • [12] Aminfar, H., Mohammadpourfard, M., & Zonouzi, S. A. (2013). Numerical study of the ferrofluid flow and heat transfer through a rectangular duct in the presence of a non-uniform transverse magnetic field. Journal of Magnetism and Magnetic materials, 327, 31-42.
  • [13] Ghasemian, M., Ashrafi, Z. N., Goharkhah, M., & Ashjaee, M. (2015). Heat transfer characteristics of Fe 3 O 4 ferrofluid flowing in a mini channel under constant and alternating magnetic fields. Journal of Magnetism and Magnetic Materials, 381, 158-167.
  • [14] Kefayati, G. H. R. (2014). Natural convection of ferrofluid in a linearly heated cavity utilizing LBM. Journal of Molecular Liquids, 191, 1-9.
  • [15] Kefayati, G. R. (2014). Simulation of ferrofluid heat dissipation effect on natural convection at an inclined cavity filled with kerosene/cobalt utilizing the Lattice Boltzmann method. Numerical Heat Transfer, Part A: Applications, 65(6), 509-530.
  • [16] Sheikholeslami, M., & Ganji, D. D. (2014). Ferrohydrodynamic and magnetohydrodynamic effects on ferrofluid flow and convective heat transfer. Energy, 75, 400-410.
  • [17] Kandelousi, M. S. (2014). Effect of spatially variable magnetic field on ferrofluid flow and heat transfer considering constant heat flux boundary condition. The European Physical Journal Plus, 129(11), 248.
  • [18] Sheikholeslami, M., Rashidi, M. M., & Ganji, D. D. (2015). Numerical investigation of magnetic nanofluid forced convective heat transfer in existence of variable magnetic field using two phase model. Journal of Molecular Liquids, 212, 117-126.
  • [19] Sheikholeslami, M., & Rashidi, M. M. (2015). Ferrofluid heat transfer treatment in the presence of variable magnetic field. The European Physical Journal Plus, 130(6), 115.
  • [20] Sheikholeslami, M., & Shehzad, S. A. (2017). Thermal radiation of ferrofluid in existence of Lorentz forces considering variable viscosity. International Journal of Heat and Mass Transfer, 109, 82-92.
  • [21] Sheikholeslami, M., Ellahi, R., & Vafai, K. (2017). Study of Fe 3 O 4-water nanofluid with convective heat transfer in the presence of magnetic source. Alexandria Engineering Journal.
  • [22] Sheikholeslami, M. (2016). Magnetic source impact on nanofluid heat transfer using CVFEM. Neural Computing and Applications, 1-10.
  • [23] Sheikholeslami, M. (2017). Influence of Coulomb forces on Fe 3 O 4–H 2 O nanofluid thermal improvement. International Journal of Hydrogen Energy, 42(2), 821-829.
  • [24] Sheikholeslami, M., & Shamlooei, M. (2017). Fe 3 O 4–H 2 O nanofluid natural convection in presence of thermal radiation. International Journal of Hydrogen Energy, 42(9), 5708-5718.
  • [25] Sheikholeslami, M. (2017). Magnetic field influence on nanofluid thermal radiation in a cavity with tilted elliptic inner cylinder. Journal of Molecular Liquids, 229, 137-147.
  • [26] Sheikholeslami, M., & Shehzad, S. A. (2017). Thermal radiation of ferrofluid in existence of Lorentz forces considering variable viscosity. International Journal of Heat and Mass Transfer, 109, 82-92.
  • [27] Sheikholeslami, M., Hayat, T., & Alsaedi, A. (2017). Numerical study for external magnetic source influence on water based nanofluid convective heat transfer. International Journal of Heat and Mass Transfer, 106, 745-755.
  • [28] Sheikholeslami, M., & Rokni, H. B. (2017). Numerical modeling of nanofluid natural convection in a semi annulus in existence of Lorentz force. Computer Methods in Applied Mechanics and Engineering, 317, 419-430.
  • [29] Malik, S., & Nayak, A. K. (2017). MHD convection and entropy generation of nanofluid in a porous enclosure with sinusoidal heating. International Journal of Heat and Mass Transfer, 111, 329-345.
  • [30] Sheikholeslami, M. (2015). Effect of uniform suction on nanofluid flow and heat transfer over a cylinder. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 37(6), 1623-1633.
  • [31] Sheikholeslami, M. (2016). CVFEM for magnetic nanofluid convective heat transfer in a porous curved enclosure. European Physical Journal Plus, 131(11).
  • [32] Sheikholeslami, M. (2017). Numerical simulation of magnetic nanofluid natural convection in porous media. Physics Letters A, 381(5), 494–503.
  • [33] Sheikholeslami, M., & Ganji, D. D. (2017). Numerical approach for magnetic nanofluid flow in a porous cavity using CuO nanoparticles. Materials & Design, 120, 382–393.
  • [34] Sheikholeslami, M., & Bhatti, M. M. (2017). Forced convection of nanofluid in presence of constant magnetic field considering shape effects of nanoparticles. International Journal of Heat and Mass Transfer, 111, 1039–1049.
  • [35] Sheikholeslami, M. (2017). CuO-water nanofluid free convection in a porous cavity considering Darcy law. European Physical Journal Plus, 132(1).
  • [36] Sheikholeslami, M. (2017). Numerical simulation of magnetic nanofluid natural convection in porous media. Physics Letters A, 381(5), 494–503.
  • [37] Sheikholeslami, M. (2017). Influence of magnetic field on nanofluid free convection in an open porous cavity by means of Lattice Boltzmann method. Journal of Molecular Liquids, 234, 364-374.
  • [38] Sheikholeslami, M. (2017). Magnetohydrodynamic nanofluid forced convection in a porous lid driven cubic cavity using Lattice Boltzmann method. Journal of Molecular Liquids, 231, 555-565.
  • [39] Sheikholeslami, M. (2017). Influence of Lorentz forces on nanofluid flow in a porous cylinder considering Darcy model. Journal of Molecular Liquids, 225, 903–912.
  • [40] Sheikholeslami, M., & Bhatti, M. M. (2017). Forced convection of nanofluid in presence of constant magnetic field considering shape effects of nanoparticles. International Journal of Heat and Mass Transfer, 111, 1039–1049.
  • [41] Sheikholeslami, M., & Shehzad, S. A. (2017). Magnetohydrodynamic nanofluid convection in a porous enclosure considering heat flux boundary condition. International Journal of Heat and Mass Transfer, 106, 1261–1269.
  • [42] Sheikholeslami, M., & Zeeshan, A. (2017). Analysis of flow and heat transfer in water based nanofluid due to magnetic field in a porous enclosure with constant heat flux using CVFEM. Computer Methods in Applied Mechanics and Engineering, 320, 68–81.
  • [43] Sheikholeslami, M. (2017). Lattice Boltzmann method simulation for MHD non-Darcy nanofluid free convection. Physica B: Condensed Matter, 516, 55–71.
  • [44] Oztop, H. F., Selimefendigil, F., Abu-Nada, E., & Al-Salem, K. (2016). Recent developments of computational methods on natural convection in curvilinear shaped enclosures. Journal of Thermal Engineering, 2(2), 693-698 . [45] Lazarus, G., Roy, S., Kunhappan, D., Cephas, E., & Wongwises, S. (2015). Heat transfer performance of silver/water nanofluid in a solar flat-plate collector. Journal of Thermal Engineering, 1(2), 104-112.
  • [46] Birkman, H. C. (1952). The viscosity of concentrated suspensions and solution. The Journal of Chemical Physics, 20, 571.
  • [47] Maxwell-Garnett, J.C, (1904). Colors in metal glasses and in metallic films. Philosophical Transactions of the Royal Society A, 203, 385-420.
  • [48] Fasshauer, G.E. Meshfree Approximation Methods with Matlab; World Scientific Publications, Singapore, 2007.
  • [49] Fasshauer, G.E.; McCourt, M. Kernel-based Approximation Methods using MATLAB; World Scientific Publications, Singapore, 2015.
  • [50] Ramakrishna, D., Basak, T., Roy, S., & Pop, I. (2012). Numerical study of mixed convection within porous square cavities using Bejan’s heatlines: Effects of thermal aspect ratio and thermal boundary conditions. International Journal of Heat and Mass Transfer, 55(21–22), 5436–5448.
  • [51] De Vahl Davis, G. (1983). Natural convection of air in a square cavity: A bench mark numerical solution. International Journal for Numerical Methods in Fluids, 3(3), 249–264.
There are 50 citations in total.

Details

Journal Section Articles
Authors

Bengisen Pekmen Geridönmez This is me

Publication Date December 20, 2017
Submission Date June 19, 2017
Published in Issue Year 2018 Special Issue 7: International Conference on Energy and Thermal Engineering Istanbul 2017 (ICTE 2017)

Cite

APA Pekmen Geridönmez, B. (2017). NUMERICAL SIMULATION OF NATURAL CONVECTION IN A POROUS CAVITY FILLED WITH FERROFLUID IN PRESENCE OF MAGNETIC SOURCE. Journal of Thermal Engineering, 4(2), 1756-1769. https://doi.org/10.18186/journal-of-thermal-engineering.369169
AMA Pekmen Geridönmez B. NUMERICAL SIMULATION OF NATURAL CONVECTION IN A POROUS CAVITY FILLED WITH FERROFLUID IN PRESENCE OF MAGNETIC SOURCE. Journal of Thermal Engineering. December 2017;4(2):1756-1769. doi:10.18186/journal-of-thermal-engineering.369169
Chicago Pekmen Geridönmez, Bengisen. “NUMERICAL SIMULATION OF NATURAL CONVECTION IN A POROUS CAVITY FILLED WITH FERROFLUID IN PRESENCE OF MAGNETIC SOURCE”. Journal of Thermal Engineering 4, no. 2 (December 2017): 1756-69. https://doi.org/10.18186/journal-of-thermal-engineering.369169.
EndNote Pekmen Geridönmez B (December 1, 2017) NUMERICAL SIMULATION OF NATURAL CONVECTION IN A POROUS CAVITY FILLED WITH FERROFLUID IN PRESENCE OF MAGNETIC SOURCE. Journal of Thermal Engineering 4 2 1756–1769.
IEEE B. Pekmen Geridönmez, “NUMERICAL SIMULATION OF NATURAL CONVECTION IN A POROUS CAVITY FILLED WITH FERROFLUID IN PRESENCE OF MAGNETIC SOURCE”, Journal of Thermal Engineering, vol. 4, no. 2, pp. 1756–1769, 2017, doi: 10.18186/journal-of-thermal-engineering.369169.
ISNAD Pekmen Geridönmez, Bengisen. “NUMERICAL SIMULATION OF NATURAL CONVECTION IN A POROUS CAVITY FILLED WITH FERROFLUID IN PRESENCE OF MAGNETIC SOURCE”. Journal of Thermal Engineering 4/2 (December 2017), 1756-1769. https://doi.org/10.18186/journal-of-thermal-engineering.369169.
JAMA Pekmen Geridönmez B. NUMERICAL SIMULATION OF NATURAL CONVECTION IN A POROUS CAVITY FILLED WITH FERROFLUID IN PRESENCE OF MAGNETIC SOURCE. Journal of Thermal Engineering. 2017;4:1756–1769.
MLA Pekmen Geridönmez, Bengisen. “NUMERICAL SIMULATION OF NATURAL CONVECTION IN A POROUS CAVITY FILLED WITH FERROFLUID IN PRESENCE OF MAGNETIC SOURCE”. Journal of Thermal Engineering, vol. 4, no. 2, 2017, pp. 1756-69, doi:10.18186/journal-of-thermal-engineering.369169.
Vancouver Pekmen Geridönmez B. NUMERICAL SIMULATION OF NATURAL CONVECTION IN A POROUS CAVITY FILLED WITH FERROFLUID IN PRESENCE OF MAGNETIC SOURCE. Journal of Thermal Engineering. 2017;4(2):1756-69.

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