Applied Mathematics and Mechanics >
Effects of multiple shapes for steady flow with transformer oil+Fe3O4+TiO2 between two stretchable rotating disks
Received date: 2023-07-09
Online published: 2024-01-27
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In this study, we examine the effects of various shapes of nanoparticles in a steady flow of hybrid nanofluids between two stretchable rotating disks. The steady flow of hybrid nanofluids with transformer oil as the base fluid and Fe3O4+TiO2 as the hybrid nanofluid is considered. Several shapes of Fe3O4+TiO2 hybrid nanofluids, including sphere, brick, blade, cylinder, and platelet, are studied. Every shape exists in the same volume of a nanoparticle. The leading equations (partial differential equations (PDEs)) are transformed to the nonlinear ordinary differential equations (ODEs) with the help of similarity transformations. The system of equations takes the form of ODEs depending on the boundary conditions, whose solutions are computed numerically by the bvp4c MATLAB solver. The outputs are compared with the previous findings, and an intriguing pattern is discovered, such that the tangential velocity is increased for the rotation parameter, while it is decreased by the stretching values because of the lower disk. For the reaction rate parameter, the concentration boundary layer becomes shorter, and the activation energy component increases the rate at which mass transfers come to the higher disk but have the opposite effect on the bottom disk. The ranges of various parameters taken into account are Pr = 6.2, Re = 2, M = 1.0, ϕ1 = ϕ2 = 0.03, K = 0.5, S = -0.1, Br = 0.3, Sc = 2.0, α1 = 0.2, γ = 0.1, En = 2.0, and q = 1.0, and the rotation factor K is within the range of 0 to 1.
M. RAHMAN, M. TURKYILMAZOGLU, Z. MUSHTAQ . Effects of multiple shapes for steady flow with transformer oil+Fe3O4+TiO2 between two stretchable rotating disks[J]. Applied Mathematics and Mechanics, 2024 , 45(2) : 373 -388 . DOI: 10.1007/s10483-024-3088-7
| 1 | CHOI, S. U. and EASTMAN, J. A. Enhancing thermal conductivity of fluids with nanoparticles. Proceedings of the ASME International Mechanical Engineering Congress and Exposition, United States, CONF-951135–29 (1995) |
| 2 | WAINI, I., ISHAK, A., and POP, I. MHD flow and heat transfer of a hybrid nanofluid past a permeable stretching/shrinking wedge. Applied Mathematics and Mechanics (English Edition), 41 (3), 507- 520 (2020) |
| 3 | KHAN, N. S., KUMAM, P., and THOUNTHONG, P. Second law analysis with effects of Arrhenius activation energy and binary chemical reaction on nanofluid flow. Scientific Reports, 10 (1), 1- 16 (2020) |
| 4 | ARORA, R. C., and STOKES, V. K. On the heat transfer between two rotating disks. International Journal of Heat and Mass Transfer, 15 (11), 2119- 2132 (1972) |
| 5 | HOLODNIOK, M., KUBI, M., and HLAVA, V. Computation of the flow between two rotating coaxial disks: multiplicity of steady-state solutions. Journal of Fluid Mechanics, 108, 227- 240 (1981) |
| 6 | EMSLIE, A. G., BONNER, F. T., and PECK, L. G. Flow of a viscous liquid on a rotating disk. Journal of Applied Physics, 29 (5), 858- 862 (1958) |
| 7 | KHAN, J. A., MUSTAFA, M., HAYAT, T., TURKYILMAZOGLU, M., and ALSAEDI, A. Numerical study of nanofluid flow and heat transfer over a rotating disk using Buongiorno's model. International Journal of Numerical Methods for Heat and Fluid Flow, 27 (1), 221- 234 (2017) |
| 8 | TURKYILMAZOGLU, M. Effects of uniform radial electric field on the MHD heat and fluid flow due to a rotating disk. International Journal of Engineering Science, 51, 233- 240 (2012) |
| 9 | MOSAYEBIDORCHEH, S., and HATAMI, M. Heat transfer analysis in carbon nanotube-water between rotating disks under thermal radiation conditions. Journal of Molecular Liquids, 240, 258- 267 (2017) |
| 10 | TURKYILMAZOGLU, M. Fluid flow and heat transfer over a rotating and vertically moving disk. Physics of Fluids, 30 (6), 063605 (2018) |
| 11 | ROUT, B. C., MISHRA, S. R., and NAYAK, B. Semianalytical solution of axisymmetric flows of Cu- and Ag-water nanofluids between two rotating disks. Heat Transfer Asian Research, 48 (3), 957- 981 (2019) |
| 12 | HOSSEINZADEH, K., MOGHARREBI, A. R., ASADI, A., SHEIKHSHAHROKHDEHKORDI, M., MOUSAVISANI, S., and GANJI, D. D. Entropy generation analysis of mixture nanofluid (H2O-C2H6O2)-Fe3O4 flow between two stretching rotating disks under the effect of MHD and nonlinear thermal radiation. International Journal of Ambient Energy, 43 (1), 1045- 1057 (2022) |
| 13 | KHAN, S. A., SAEED, T., KHAN, M. I., HAYAT, T., KHAN, M. I., and ALSAEDI, A. Entropy optimized CNTs based Darcy-Forchheimer nanomaterial flow between two stretchable rotating disks. International Journal of Hydrogen Energy, 44 (59), 31579- 31592 (2019) |
| 14 | ZANGOOEE, M. R., HOSSEINZADEH, K., and GANJI, D. D. Hydrothermal analysis of MHD nanofluid (TiO2-GO) flow between two radiative stretchable rotating disks using AGM. Case Studies in Thermal Engineering, 14, 100460 (2019) |
| 15 | MAJEED, A. H., BILAL, S., MAHMOOD, R., and MALIK, M. Y. Heat transfer analysis of viscous fluid flow between two coaxially rotated disks embedded in permeable media by capitalizing non-Fourier heat flux model. Physica A: Statistical Mechanics and Its Applications, 540, 123182 (2020) |
| 16 | BHATTACHARYYA, A., SETH, G. S., KUMAR, R., and CHAMKHA, A. J. Simulation of Cattaneo-Christov heat flux on the flow of single and multi-walled carbon nanotubes between two stretchable coaxial rotating disks. Journal of Thermal Analysis and Calorimetry, 139, 1655- 1670 (2020) |
| 17 | MASKEEN, M. M., ZEESHAN, A., MEHMOOD, O. U., and HASSAN, M. Heat transfer enhancement in hydromagnetic alumina-copper/water hybrid nanofluid flow over a stretching cylinder. Journal of Thermal Analysis and Calorimetry, 138, 1127- 1136 (2019) |
| 18 | KHASHI'IE, N. S., ARIFIN, N. M., NAZAR, R., HAFIDZUDDIN, E. H., WAHI, N., and POP, I. Magnetohydrodynamics (MHD) axisymmetric flow and heat transfer of a hybrid nanofluid past a radially permeable stretching/shrinking sheet with Joule heating. Chinese Journal of Physics, 64, 251- 263 (2020) |
| 19 | TURKYILMAZOGLU, M. Nanoliquid film flow due to a moving substrate and heat transfer. The European Physical Journal Plus, 135, 1- 13 (2020) |
| 20 | WAINI, I., ISHAK, A., GROSAN, T., and POP, I. Mixed convection of a hybrid nanofluid flow along a vertical surface embedded in a porous medium. International Communications in Heat and Mass Transfer, 114, 104565 (2020) |
| 21 | ISLAM, S., KHAN, A., DEEBANI, W., BONYAH, E., ALRESHIDI, N. A., and SHAH, Z. Influences of Hall current and radiation on MHD micropolar non-Newtonian hybrid nanofluid flow between two surfaces. AIP Advances, 10 (5), 055015 (2020) |
| 22 | LUND, L. A., OMAR, Z., KHAN, I., and SHERIF, E. M. Dual solutions and stability analysis of a hybrid nanofluid over a stretching/shrinking sheet executing MHD flow. Symmetry Basel, 12 (2), 276 (2020) |
| 23 | IQBAL, M. S., GHAFFARI, A., MUSTAFA, I., and ALI, H. M. Impact of wavy texture and hybridity of nanofluid on heat transfer augmentation over the frustum of cone geometry. Thermal Science, 25 (4), 2691- 2700 (2021) |
| 24 | AHMAD, I., FAISAL, M., ABADIN, Q., JAVED, T., and LOGANATHAN, K. Unsteady 3D heat transport in hybrid nanofluid containing brick shaped ceria and zinc-oxide nanocomposites with heat source/sink. Nanocomposites, 8 (1), 1- 12 (2022) |
| 25 | SHOAIB, M., RAJA, M. A. Z., SABIR, M. T., AWAIS, M., ISLAM, S., SHAH, Z., and KUMAM, P. Numerical analysis of 3-D MHD hybrid nanofluid over a rotational disk in presence of thermal radiation with Joule heating and viscous dissipation effects using Lobatto ⅢA technique. Alexandria Engineering Journal, 60 (4), 3605- 3619 (2021) |
| 26 | HOSSEINZADEH, K., ROGHANI, S., ASADI, A., MOGHARREBI, A., and GANJI, D. D. Investigation of micropolar hybrid ferrofluid flow over a vertical plate by considering various base fluid and nanoparticle shape factor. International Journal of Numerical Methods for Heat and Fluid Flow, 31 (1), 402- 417 (2020) |
| 27 | ESWARAMOORTHI, S., DIVYA, S., FAISAL, M., and NAMGYEL, N. Entropy and heat transfer analysis for MHD flow of-water-based nanofluid on a heated 3D plate with nonlinear radiation. Mathematical Problems in Engineering, 2022, 7319988 (2022) |
| 28 | SALEEM, S., ANIMASAUN, I. L., YOOK, S. J., AL-MDALLAL, Q. M., SHAH, N. A., and FAISAL, M. Insight into the motion of water conveying three kinds of nanoparticles shapes on a horizontal surface: significance of thermo-migration and Brownian motion. Surfaces and Interfaces, 30, 101854 (2022) |
| 29 | CHEN, J., ZHAO, C. Y., and WANG, B. X. Effect of nanoparticle aggregation on the thermal radiation properties of nanofluids: an experimental and theoretical study. International Journal of Heat and Mass Transfer, 154, 119690 (2020) |
| 30 | WANG, F., RANI, S. P., SARADA, K., GOWDA, R. J. P., ZAHRAN, H. Y., and MAHMOUD, E. E. The effects of nanoparticle aggregation and radiation on the flow of nanofluid between the gap of a disk and cone. Case Studies in Thermal Engineering, 33, 101930 (2022) |
| 31 | RAJU, S. S. K., BABU, M. J., and RAJU, C. S. K. Irreversibility analysis in hybrid nanofluid flow between two rotating disks with activation energy and cross-diffusion effects. Chinese Journal of Physics, 72, 499- 529 (2021) |
| 32 | JIANG, Y., ZHOU, X., and WAN, Y. Effects of nanoparticle shapes on heat and mass transfer of nanofluid thermocapillary convection around a gas bubble. Microgravity Science and Technology, 32 (2), 167- 177 (2020) |
| 33 | WANG, Q., RAFIQ, M., LYU, Y. Z., LI, C., and YI, K. Preparation of three types of transformer oil-based nanofluids and comparative study on the effect of nanoparticle concentrations on insulating property of transformer oil. Journal of Nanotechnology, 2016, 5802753 (2016) |
| 34 | UKESSAYS. Transformer oil or insulating oil engineering essay. www. ukessays. com (2015) https://www.ukessays.com/essays/engineering/transformer-oil-or-insulating-oil-engineering-essay.php?vref=1 |
| 35 | SHEIKHOLESLAMI, M., OZTOP, H. F., ABU-HAMDEH, N., and LI, Z. Nanoparticle transportation of CuO-H2O nanofluid in a porous semi annulus due to Lorentz forces. International Journal of Numerical Methods for Heat and Fluid Flow, 29 (1), 294- 308 (2019) |
| 36 | KHAN, U., ZAIB, A., KHAN, I., BALEANU, D., and NISAR, K. S. Enhanced heat transfer in moderately ionized liquid due to hybrid MoS2/SiO2 nanofluids exposed by nonlinear radiation: stability analysis. Crystals, 10 (2), 142 (2020) |
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