Home Study of ferrofluid flow and heat transfer between cone and disk
Article
Licensed
Unlicensed Requires Authentication

Study of ferrofluid flow and heat transfer between cone and disk

  • Anupam Bhandari ORCID logo EMAIL logo
Published/Copyright: May 28, 2021

Abstract

This paper investigates the flow of water-based Fe3O4 ferrofluid flow and heat transfer due to rotating cone and disk under the influence of the external magnetic field. The similarity approach is used to transform the governing equations of ferrohydrodynamic flow into a set of nondimensional coupled differential equations. The nondimensional coupled differential equations are solved numerically through the finite element procedure. Effect of rotation of the disk, rotation of the cone, the intensity of the magnetic field, volume concentrations, and Prandtl number are analyzed on the velocity and temperature distributions. These effects are also observed on the skin friction coefficients and local heat transfer rate. The rotation of the disk, rotation of the cone, and the intensity of the magnetic field have a major impact on the velocity profiles, temperature profiles, skin friction coefficients, and local heat transfer rate.


Corresponding author: Anupam Bhandari, Department of Mathematics, School of Engineering, University of Petroleum & Energy Studies (UPES), Energy Acres Building, Bidholi, Dehradun248007, Uttarakhand, India, E-mail:

  1. Author contribution: The author has accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: There is no funding for this research.

  3. Conflict of interest statement: The author reports no conflict of interest.

References

[1] M. Mooney and R. H. Ewart, “The conicylindrical viscometer,” J. Appl. Phys., vol. 5, no. 11, pp. 350–354, 1934. https://doi.org/10.1063/1.1745219.Search in Google Scholar

[2] W. H. Hoppmann and C. N. Baronet, “Flow generated by cone rotating in a liquid,” Nature, vol. 201, pp. 1205–1206, 1964. https://doi.org/10.1038/2011205a0.Search in Google Scholar

[3] A. Bhandari and V. Kumar, “Effect of porosity and magnetic field dependent viscosity on revolving ferrofluid flow in the presence of stationary disk,” Fluid Dynam. Mater. Process., vol. 10, no. 03, pp. 359–375, 2014.Search in Google Scholar

[4] O. Ambacher, S. Odenbach, and K. Stierstadt, “Rotational viscosity in ferrofluids,” Z. Phys. B Condens. Matter, vol. 86, no. 1, pp. 29–32, 1992. https://doi.org/10.1007/bf01323543.Search in Google Scholar

[5] C. Rinaldi, A. Chaves, S. Elborai, X. He, and M. Zahn, “Magnetic fluid rheology and flows,” Curr. Opin. Colloid Interface Sci., vol. 10, nos. 3–4, pp. 141–157, 2005. https://doi.org/10.1016/j.cocis.2005.07.004.Search in Google Scholar

[6] M. Turkyilmazoglu, “On the fluid flow and heat transfer between a cone and a disk both stationary or rotating,” Math. Comput. Simulat., vol. 177, pp. 329–340, 2020. https://doi.org/10.1016/j.matcom.2020.04.004.Search in Google Scholar

[7] C. Sulochana, S. P. Samrat, and N. Sandeep, “Numerical investigation of magnetohydrodynamic (MHD) radiative flow over a rotating cone in the presence of Soret and chemical reaction,” Propuls. Power Res., vol. 7, no. 1, pp. 91–101, 2018. https://doi.org/10.1016/j.jppr.2018.01.001.Search in Google Scholar

[8] M. Y. Malik, H. Jamil, T. Salahuddin, S. Bilal, K. U. Rehman, and Z. Mustafa, “Mixed convection dissipative viscous fluid flow over a rotating cone by way of variable viscosity and thermal conductivity,” Results Phys., vol. 6, pp. 1126–1135, 2016. https://doi.org/10.1016/j.rinp.2016.11.027.Search in Google Scholar

[9] S. Saleem, S. Nadeem, and N. Sandeep, “A mathematical analysis of time dependent flow on a rotating cone in a rheological fluid,” Propuls. Power Res., vol. 6, no. 3, pp. 233–241, 2017. https://doi.org/10.1016/j.jppr.2017.07.003.Search in Google Scholar

[10] S. Ahmad, K. Ali, R. Saleem, and H. Bashir, “Thermal analysis of nanofluid flow due to rotating cone/plate - a numerical study,” AIP Adv., vol. 10, no. 7, p. 75024, 2020. https://doi.org/10.1063/5.0010382.Search in Google Scholar

[11] A. Saleem, W. Sabih, S. Nadeem, M. Ghalambaz, and A. Issakhov, “Theoretical aspects of micropolar nanofluid flow past a deformable rotating cone,” Math. Methods Appl. Sci., pp. 1–19, 2020. https://doi.org/10.1002/mma.6777.Search in Google Scholar

[12] Z. Iqbal, E. Azhar, and E. N. Maraj, “Performance of nano-powders SiO2 and SiC in the flow of engine oil over a rotating disk influenced by thermal jump conditions,” Phys. A Stat. Mech. its Appl., vol. 565, p. 125570, 2021. https://doi.org/10.1016/j.physa.2020.125570.Search in Google Scholar

[13] R. Kobayashi and H. Izumi, “Boundary-layer transition on a rotating cone in still fluid,” J. Fluid Mech., vol. 127, pp. 353–364, 1983. https://doi.org/10.1017/s0022112083002761.Search in Google Scholar

[14] T. Gul, Kashifullah, M. Bilal, W. Alghamdi, M. I. Asjad, and T. Abdeljawad, “Hybrid nanofluid flow within the conical gap between the cone and the surface of a rotating disk,” Sci. Rep., vol. 11, no. 1, p. 1180, 2021. https://doi.org/10.1038/s41598-020-80750-y.Search in Google Scholar

[15] D. Anilkumar and S. Roy, “Unsteady mixed convection flow on a rotating cone in a rotating fluid,” Appl. Math. Comput., vol. 155, no. 2, pp. 545–561, 2004. https://doi.org/10.1016/s0096-3003(03)00799-9.Search in Google Scholar

[16] K. L. Hsiao, “To promote radiation electrical MHD activation energy thermal extrusion manufacturing system efficiency by using Carreau-Nanofluid with parameters control method,” Energy, vol. 130, pp. 486–499, 2017. https://doi.org/10.1016/j.energy.2017.05.004.Search in Google Scholar

[17] K. L. Hsiao, “Combined electrical MHD heat transfer thermal extrusion system using Maxwell fluid with radiative and viscous dissipation effects,” Appl. Therm. Eng., vol. 112, pp. 1281–1288, 2017. https://doi.org/10.1016/j.applthermaleng.2016.08.208.Search in Google Scholar

[18] K. L. Hsiao, “Micropolar nanofluid flow with MHD and viscous dissipation effects towards a stretching sheet with multimedia feature,” Int. J. Heat Mass Tran., vol. 112, pp. 983–990, 2017. https://doi.org/10.1016/j.ijheatmasstransfer.2017.05.042.Search in Google Scholar

[19] K. L. Hsiao, “Stagnation electrical MHD nanofluid mixed convection with slip boundary on a stretching sheet,” Appl. Therm. Eng., vol. 98, pp. 850–861, 2016. https://doi.org/10.1016/j.applthermaleng.2015.12.138.Search in Google Scholar

[20] S. Nadeem and S. Saleem, “Analytical study of rotating non-Newtonian nanofluid on a rotating cone,” J. Thermophys. Heat Tran., vol. 28, no. 2, pp. 295–302, 2014. https://doi.org/10.2514/1.t4145.Search in Google Scholar

[21] S. Nadeem and S. Saleem, “Unsteady mixed convection flow of nanofluid on a rotating cone with magnetic field,” Appl. Nanosci., vol. 4, no. 4, pp. 405–414, 2014. https://doi.org/10.1007/s13204-013-0213-1.Search in Google Scholar

[22] K. Kato, P. H. Alfredsson, and R. J. Lingwood, “Boundary-layer transition over a rotating broad cone,” Phys. Rev. Fluids, vol. 4, no. 7, p. 71902, 2019. https://doi.org/10.1103/physrevfluids.4.071902.Search in Google Scholar

[23] C. S. K. Raju, N. Sandeep, and V. Sugunamma, “Unsteady magneto-nanofluid flow caused by a rotating cone with temperature dependent viscosity: a surgical implant application,” J. Mol. Liq., vol. 222, pp. 1183–1191, 2016. https://doi.org/10.1016/j.molliq.2016.07.143.Search in Google Scholar

[24] C. S. K. Raju and N. Sandeep, “Unsteady Casson nanofluid flow over a rotating cone in a rotating frame filled with ferrous nanoparticles: a numerical study,” J. Magn. Magn. Mater., vol. 421, pp. 216–224, 2017. https://doi.org/10.1016/j.jmmm.2016.08.013.Search in Google Scholar

[25] S. Roy, H. S. Takhar, and G. Nath, “Unsteady MHD flow on a rotating cone in a rotating fluid,” Meccanica, vol. 39, no. 3, pp. 271–283, 2004. https://doi.org/10.1023/b:mecc.0000022847.28148.98.10.1023/B:MECC.0000022847.28148.98Search in Google Scholar

[26] S. Saleem and S. Nadeem, “Theoretical analysis of slip flow on a rotating cone with viscous dissipation effects,” J. Hydrodyn., vol. 27, no. 4, pp. 616–623, 2015. https://doi.org/10.1016/s1001-6058(15)60523-6.Search in Google Scholar

[27] M. Turkyilmazoglu, “A note on the induced flow and heat transfer due to a deforming cone rotating in a quiescent fluid,” J. Heat Transfer, vol. 140, no. 12, p. 124502, 2018. https://doi.org/10.1115/1.4041184.Search in Google Scholar

[28] M. Sheikholeslami and S. A. Shehzad, “Numerical analysis of Fe3O4–H2O nanofluid flow in permeable media under the effect of external magnetic source,” Int. J. Heat Mass Trans., vol. 118, pp. 182–192, 2018. https://doi.org/10.1016/j.ijheatmasstransfer.2017.10.113.Search in Google Scholar

[29] T. Gul, R. S. Gul, W. Noman, et al.., “CNTs-Nanofluid flow in a Rotating system between the gap of a disk and cone,” Phys. Scr., vol. 95, no. 12, p. 125202, 2020. https://doi.org/10.1088/1402-4896/abbf1e.Search in Google Scholar

[30] R. E. Rosensweig, Ferrohydrodynamics, Cambridge, Cambridge university press, 1997.Search in Google Scholar

Received: 2021-04-17
Revised: 2021-05-13
Accepted: 2021-05-16
Published Online: 2021-05-28
Published in Print: 2021-08-26

© 2021 Walter de Gruyter GmbH, Berlin/Boston

Downloaded on 19.9.2025 from https://www.degruyterbrill.com/document/doi/10.1515/zna-2021-0100/html
Scroll to top button