TiO2-water nanofluid in a porous channel under the effects of an inclined magnetic field and variable thermal conductivity

doi:10.1007/s10483-018-2359-6

摘要/Abstract

摘要：

The TiO₂-water based nanofluid flow in a channel bounded by two porous plates under an oblique magnetic field and variable thermal conductivity is formulated as a boundary-value problem (BVP). The BVP is analytically solved with the homotopy analysis method (HAM). The result shows that the concentration of the nanoparticles is independent of the volume fraction of TiO₂ nanoparticles, the magnetic field intensity, and the angle. It is inversely proportional to the mass diffusivity. The fluid speed decreases whereas the temperature increases when the volume fraction of the TiO₂ nanoparticles increases. This confirms the fact that the occurrence of the TiO₂ nanoparticles results in the increase in the thermal transfer rate. The fluid speed decreases and the temperature increases for both the pure water and the nanofluid when the magnetic field intensity and angle increase. The maximum velocity does not exist at the middle of the symmetric channel, which is in contrast to the plane-Poiseuille flow, but it deviates a little bit towards the lower plate, which absorbs the fluid with a very low suction velocity. If this suction velocity is increased, the temperature in the vicinity of the lower plate will be increased. An explicit expression for the friction factor-Reynolds number is then developed. It is shown that the Hartmann number of the nanofluid is smaller than that of pure water, while the Nusselt number of the nanofluid is larger than that of pure water. However, both the parameters increase if the magnetic field intensity increases.

关键词: Nusselt number, turbulent flow, mathematical model, depth-average, general orthogonal coordinates, thermal transfer, nanofluid, TiO₂, homotopy analysis method (HAM), oblique magnetic field

Abstract:

Key words: homotopy analysis method (HAM), turbulent flow, mathematical model, depth-average, general orthogonal coordinates, TiO₂, Nusselt number, nanofluid, oblique magnetic field, thermal transfer

中图分类号:

76W05

A. A. SIDDIQUI, M. SHEIKHOLESLAMI. TiO₂-water nanofluid in a porous channel under the effects of an inclined magnetic field and variable thermal conductivity[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(8): 1201-1216.

参考文献

[1] HAYAT, T., NAZAR, H., IMTIAZ, M., and ALSAEDI, A. Darcy-Forchheimer flows of copper and silver water nanofluids between two rotating stretchable disks. Applied Mathematics and Mechanics (English Edition), 38(12), 1663-1678(2017) https://doi.org/10.1007/s10483-017-2289-8
[2] JONES, B. J., VERGNE, M. J., BUNK, D. M., LOCASCIO, L. E., and HAYES, M. A. Cleavage of Peptides and Proteins using light-generated radicals from titanium dioxide. Analytical Chemistry 79, 1327-1332(2007)
[3] KONSTANTINOU, I. K. and ALBANIS, T. A. TiO₂-assisted photocatalytic degradation of azo dyes in aqueous solution:Kinetic and mechanistic investigations. Applied Catalysis B:Environmental, 49, 1-14(2004)
[4] LINDSTROM, H., SÖDERGREN, S., SÖLBRAND, A., RENSMO, H., HJELM, J., HAGFELDT, A., and LINDQUIST, S. Li⁺ ion insertion in TiO₂(anatase). 2. voltammetry on nanoporous films. Journal of Physical Chemistry B, 101, 7717-7722(1997)
[5] DU, X., WANG, Q., FENG, T., CHEN, X., LI, L., LI, L., MENG, X., XIONG, L., and SUN, X. One-step preparation of nanoarchitectured TiO₂ on porous Al as integrated anode for highperformance Lithium-ion batteries. Scientific Reports, 6, 20138(2016)
[6] SU, D., DOU, S., and WANG, G. Anatase TiO₂:better anode material than amorphous and rutile phases of TiO₂ for Na-ion batteries. Chemistry of Materials, 27, 6022-6029(2015)
[7] YUAN, S. A., CHEN, W. H., and HU, S. S. Fabrication of TiO₂ nanoparticles/surfactant polymer complex film on glassy carbon electrode and its application to sensing trace dopamine. Materials Science and Engineering:C, 25, 479-485(2005)
[8] BRAUN, J. H., BAIDINS, A., and MARGANSKI, R. E. TiO₂ pigment technology:a review. Progress in Organic Coatings, 20, 105-138(1992)
[9] ZALLEN, R. and MORET, M. P. The optical absorption edge of brookite TiO₂. Solid State Communications, 137, 154-157(2006)
[10] CHEN, X. and MAO, S. S. Titanium dioxide nanomaterials:synthesis, properties, modifications and applications. Chemical Reviews, 107, 2891-2959(2007)
[11] MAHENDRAN, M., LEE, G. C., SHARMA, K. V., and SHAHRANI, A. Performance evaluation of evacuated tube solar collector using water-based titanium oxide (TiO₂) nanofluid. Journal of Mechanical Engineering Science, 3, 301-310(2012)
[12] SAID, Z., SABIHA, M. A., SAIDUR, R., HEPBASLI, A., RAHIM, N. A., MEKHILEF, S., and WARD, T. A. Performance enhancement of a flat plate solar collector using titanium dioxide nanofluid and polyethylene glycol dispersant. Journal of Cleaner Production, 92, 343-353(2015)
[13] DINARVAND, S. and POP, I. Free-convective flow of copper/water nanofluid about a rotating down-pointing cone using Tiwari-Das nanofluid scheme. Advanced Powder Technology, 28, 900-909(2017)
[14] FEDELE, L., COLLA, L., and BOBBO, S. Viscosity and thermal conductivity measurements of water-based nanofluids containing titanium oxide nanoparticles. International Journal of Refrigeration, 35, 1359-1366(2012)
[15] KAO, M. and LIN, C. Evaluating the role of spherical titanium oxide nanoparticles in reducing friction between two pieces of cast iron. Journal of Alloys and Compounds, 483, 456-459(2009)
[16] SAJADI, A. R. and KAZEMI, M. H. Investigation of turbulent convective heat transfer and pressure drop of TiO₂/water nanofluid in circular tube. International Communications in Heat and Mass Transfer, 38, 1474-1478(2011)
[17] RADIOM, M., YANG, C., and CHAN, W. K. Dynamic contact angle of water-based titanium oxide nanofluid. Nanoscale Research Letters, 8, 1-9(2013)
[18] HAMID, A. K., AZMI, W. H., MAMAT, R., USRI, N. A., and NAJAFI, G. Effect of temperature on heat transfer coefficient of titanium dioxide in Ethylene Glycol-based nanofluid. Journal of Mechanical Engineering Science, 8, 1367-1375(2015)
[19] MATTHIAS, H. and BUSCHMANN, U. F. Improvement of thermosyphon performance by employing nanofluid. International Journal of Refrigeration, 40, 416-428(2014)
[20] NAPHON, P., ASSADAMONGKOL, P., and BORIRAK, T. Experimental investigation of titanium nanofluids on the heat pipe thermal efficiency. International Communications in Heat and Mass Transfer, 35, 1316-1319(2008)
[21] SHEIKHOLESLAMI, M. and ROKNI, H. B. Simulation of nanofluid heat transfer in presence of magnetic field:A review. International Journal of Heat and Mass Transfer, 115, 1203-1233(2017)
[22] SHEIKHOLESLAMI, M. and SHEHZAD, S. A. Simulation of water based nanofluid convective flow inside a porous enclosure via non-equilibrium model. International Journal of Heat and Mass Transfer, 120, 1200-1212(2018)
[23] SHEIKHOLESLAMI, M. and SEYEDNEZHAD, M. Simulation of nanofluid flow and natural convection in a porous media under the influence of electric field using CVFEM. International Journal of Heat and Mass Transfer, 120, 772-781(2018)
[24] SHEIKHOLESLAMI, M. and ROKNI, H. B. Numerical simulation for impact of Coulomb force on nanofluid heat transfer in a porous enclosure in presence of thermal radiation. International Journal of Heat and Mass Transfer, 118, 823-831(2018)
[25] SHEIKHOLESLAMI, M. and SHEHZAD, S. A. Numerical analysis of Fe₃O₄-H₂O nanofluid flow in permeable media under the effect of external magnetic source. International Journal of Heat and Mass Transfer, 118, 182-192(2018)
[26] SHEIKHOLESLAMI, M. and SADOUGHI, M. K. Simulation of CuO-water nanofluid heat transfer enhancement in presence of melting surface. International Journal of Heat and Mass Transfer, 116, 909-919(2018)
[27] SHEIKHOLESLAMI, M. and ROKNI, H. B. Nanofluid two phase model analysis in existence of induced magnetic field. International Journal of Heat and Mass Transfer, 107, 288-299(2017)
[28] SHEIKHOLESLAMI, M. Numerical investigation of nanofluid free convection under the influence of electric field in a porous enclosure. Journal of Molecular Liquids, 249, 1212-1221(2018)
[29] SHEIKHOLESLAMI, M. CuO-water nanofluid flow due to magnetic field inside a porous media considering Brownian motion. Journal of Molecular Liquids, 249, 921-929(2018)
[30] SHEIKHOLESLAMI, M. Numerical investigation for CuO-H₂O nanofluid flow in a porous channel with magnetic field using mesoscopic method. Journal of Molecular Liquids, 249, 739-746(2018)
[31] SHEIKHOLESLAMI, M., M. SHAMLOOEI, M., and MORADI, R. Fe₃O₄-ethylene glycol nanofluid forced convection inside a porous enclosure in existence of Coulomb force. Journal of Molecular Liquids, 249, 429-437(2018)
[32] SHEIKHOLESLAMI, M. 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(2017)
[33] SHEIKHOLESLAMI, M. and ROKNI, H. B. Influence of EFD viscosity on nanofluid forced convection in a cavity with sinusoidal wall. Journal of Molecular Liquids, 232, 390-395(2017)
[34] SHEIKHOLESLAMI, M. Influence of Lorentz forces on nanofluid flow in a porous cavity by means of non-Darcy model. Journal of Molecular Liquids, 225, 903-912(2017)
[35] SHEIKHOLESLAMI, M. Numerical investigation of MHD nanofluid free convective heat transfer in a porous tilted enclosure. Engineering Computations, 34(6), 1939-1955(2017)
[36] SHEIKHOLESLAMI, M. and ROKNI, H. B. 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(2017)
[37] SHEIKHOLESLAMI, M. and ROKNI, H. B. Free convection of CuO-H₂O nanofluid in a curved porous enclosure using mesoscopic approach. International Journal of Hydrogen Energy, 42, 14942-14949(2017)
[38] SHEIKHOLESLAMI, M. and ROKNI, H. B. Magnetohydrodynamic CuO-water nanofluid in a porous complex-shaped enclosure. Journal of Thermal Science and Engineering Applications, 9, 41007(2017)
[39] OTHMAN, M. A., AMAT, N. F., AHMAD, B. H., and RAJAN, J. Electrical conductivity characteristic of TiO₂ nanowires from hydrothermal method. Journal of Physics:Conference Series, 495, 012027(2014)
[40] JOSE, R., THAVASI, V., and RAMAKRISHNA, S. Metal oxides for dye-sensitized solar cells. Journal of the American Ceramic Society, 92, 289-301(2009)
[41] PHAM, T. T. T., MATHEWS, N., LAM, Y. M., and MHAISALKAR, S. Enhanced efficiency of dye-Sensitized solar cells with mesoporous-acroporous TiO₂ photoanode obtained using ZnO template. Journal of Electronic Materials, 46, 3801-3807(2017)
[42] VIJAYAKUMAR, P., PANDIAN, M. S., and RAMASAMY, P. Tungsten carbide nanorods with titanium dioxide composite counter electrode:effect of NMP to enhanced efficiency in dye sensitized solar cell (DSSC). AIP Conference Proceedings, 1832, 050002(2017)

TiO₂-water nanofluid in a porous channel under the effects of an inclined magnetic field and variable thermal conductivity

TiO₂-water nanofluid in a porous channel under the effects of an inclined magnetic field and variable thermal conductivity

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	N. HUMNEKAR, D. SRINIVASACHARYA. Influence of variable viscosity and double diffusion on the convective stability of a nanofluid flow in an inclined porous channel[J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(3): 563-580.
[2]	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 (English Edition), 2024, 45(2): 373-388.
[3]	C. G. PAVITHRA, B. J. GIREESHA, M. L. KEERTHI. Semi-analytical investigation of heat transfer in a porous convective radiative moving longitudinal fin exposed to magnetic field in the presence of a shape-dependent trihybrid nanofluid[J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(1): 197-216.
[4]	L. ANITHA, B. J. GIREESHA. Convective flow of Jeffrey nanofluid along an upright microchannel with Hall current and Buongiorno model: an irreversibility analysis[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(9): 1613-1628.
[5]	B. K. SHARMA, R. GANDHI, T. ABBAS, M. M. BHATTI. Magnetohydrodynamics hemodynamics hybrid nanofluid flow through inclined stenotic artery[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(3): 459-476.
[6]	S. P. V. ANANTH, B. N. HANUMAGOWDA, S. V. K. VARMA, C. S. K. RAJU, I. KHAN, P. RANA. Thermo-diffusion impact on immiscible flow characteristics of convectively heated vertical two-layered Baffle saturated porous channels in a suspension of nanoparticles: an analytical study[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(2): 307-324.
[7]	Shuguang LI, M. I. KHAN, F. ALI, S. S. ABDULLAEV, S. SAADAOUI, HABIBULLAH. Mathematical modeling of mixed convective MHD Falkner-Skan squeezed Sutterby multiphase flow with non-Fourier heat flux theory and porosity[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(11): 2005-2018.
[8]	Qingkai ZHAO, Longbin TAO, Hang XU. Analysis of periodic pulsating nanofluid flow and heat transfer through a parallel-plate channel in the presence of magnetic field[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(11): 1957-1972.
[9]	A. M. ALSHARIF, A. I. ABDELLATEEF, Y. A. ELMABOUD, S. I. ABDELSALAM. Performance enhancement of a DC-operated micropump with electroosmosis in a hybrid nanofluid: fractional Cattaneo heat flux problem[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(6): 931-944.
[10]	N. A. ZAINAL, R. NAZAR, K. NAGANTHRAN, I. POP. Slip effects on unsteady mixed convection of hybrid nanofluid flow near the stagnation point[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(4): 547-556.
[11]	S. HUSSAIN, T. TAYEBI, T. ARMAGHANI, A. M. RASHAD, H. A. NABWEY. Conjugate natural convection of non-Newtonian hybrid nanofluid in wavy-shaped enclosure[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(3): 447-466.
[12]	Weipeng HU, Zhen WANG, Yulu HUAI, Xiqiao FENG, Wenqi SONG, Zichen DENG. Effects of temperature change on the rheological property of modified multiwall carbon nanotubes[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(10): 1503-1514.
[13]	I. WAINI, A. ISHAK, I. POP. Magnetohydrodynamic flow past a shrinking vertical sheet in a dusty hybrid nanofluid with thermal radiation[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(1): 127-140.
[14]	Hang XU. Mixed convective flow of a hybrid nanofluid between two parallel inclined plates under wall-slip condition[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(1): 113-126.
[15]	J. K. MADHUKESH, G. K. RAMESH, B. C. PRASANNAKUMARA, S. A. SHEHZAD, F. M. ABBASI. Bio-Marangoni convection flow of Casson nanoliquid through a porous medium in the presence of chemically reactive activation energy[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(8): 1191-1204.