Ginzburg Landau Model for Nanofluid Convection in the Presence of Time Periodic Plate Modulation
DOI:
https://doi.org/10.37934/cfdl.15.4.6479Keywords:
Rayleigh-Bénard convection, Nanofluid, Weak non-linear theory, Ginzburg-Landau equation, Thermal modulationAbstract
Here we study thermal modulation effect on nanofluid convection and discuss heat and mass transfer in the layer. The non-uniform time periodic boundary conditions of the system are considered. A weak non-linear stability analysis has been performed and obtained heat and mass transfer coefficients as a function of the system parameters. The Ginzburg Landau model was employed to derive nanofluid convective amplitude at different stages of flow disturbances and modulation. Slow variations of time scale shows that thermal modulation impact on transport phenomenon for the case of out phase modulation (OPM) and (lower boundary modulation) LBM. Also the effect of IPM (in-phase modulation) is observed low effect on Nu and which are similar to un-modulation case. It is also justified that LBM restuls are similar to gravity modulation results. It is found that thermal modulation and concentration Rayleigh numbers are either stabilize or destabilize the system. Further, GL model shows better results on regulation of transport process
Downloads
References
Choi, S. US, and Jeffrey A. Eastman. Enhancing thermal conductivity of fluids with nanoparticles. No. ANL/MSD/CP-84938; CONF-951135-29. Argonne National Lab.(ANL), Argonne, IL (United States), 1995.
Eastman, Jeffrey A., S. U. S. Choi, Sheng Li, W. Yu, and L. J. Thompson. "Anomalously increased effective thermal conductivities of ethylene glycol-based nanofluids containing copper nanoparticles." Applied Physics Letters 78, no. 6 (2001): 718-720. https://doi.org/10.1063/1.1341218
Eastman, Jeffrey A., S. R. Phillpot, S. U. S. Choi, and P. Keblinski. "Thermal transport in nanofluids." Annual Review of Materials Research 34 (2004): 219-246. https://doi.org/10.1146/annurev.matsci.34.052803.090621
Masuda, Hidetoshi, Akira Ebata, Kazumari Teramae, and Nobuo Hishinuma. "Alteration of thermal conductivity and viscosity of liquid by dispersing ultra-fine particles. Dispersion of Al2O3, SiO2 and TiO2 ultra-fine particles." Netsu Bussei 7, no. 4 (1993): 227-233. https://doi.org/10.2963/jjtp.7.227
Rea, Ulzie, Tom McKrell, Lin-wen Hu, and Jacopo Buongiorno. "Laminar convective heat transfer and viscous pressure loss of alumina-water and zirconia-water nanofluids." International Journal of Heat and Mass Transfer 52, no. 7-8 (2009): 2042-2048. https://doi.org/10.1016/j.ijheatmasstransfer.2008.10.025
Buongiorno, Jacopo. "Convective transport in nanofluids." ASME Journal of Heat and Mass Transfer 128, no. 3 (2006): 240-250. https://doi.org/10.1115/1.2150834
Tzou, Da Yu. "Thermal instability of nanofluids in natural convection." International Journal of Heat and Mass Transfer 51, no. 11-12 (2008): 2967-2979. https://doi.org/10.1016/j.ijheatmasstransfer.2007.09.014
Nield, D. A., and Andrey V. Kuznetsov. "Thermal instability in a porous medium layer saturated by a nanofluid." International Journal of Heat and Mass Transfer 52, no. 25-26 (2009): 5796-5801. https://doi.org/10.1016/j.ijheatmasstransfer.2009.07.023
Kuznetsov, A. V., and D. A. Nield. "Effect of local thermal non-equilibrium on the onset of convection in a porous medium layer saturated by a nanofluid." Transport in Porous Media 83 (2010): 425-436. https://doi.org/10.1007/s11242-009-9452-8
Buongiorno, J., and W. Hu. "Nanofluid coolants for advanced nuclear power plants." In Proceedings of ICAPP, vol. 5, no. 5705, pp. 15-19. 2005.
Kuznetsov, A. V., and D. A. Nield. "Thermal instability in a porous medium layer saturated by a nanofluid: Brinkman model." Transport in Porous Media 81 (2010): 409-422. https://doi.org/10.1007/s11242-009-9413-2
Bhadauria, B. S., and Palle Kiran. "Nonlinear thermal Darcy convection in a nanofluid saturated porous medium under gravity modulation." Advanced Science Letters 20, no. 5-6 (2014): 903-910. https://doi.org/10.1166/asl.2014.5466
Bhadauria, B. S., Palle Kiran, and M. Belhaq. "Nonlinear thermal convection in a layer of nanofluid under g-jitter and internal heating effects." In MATEC Web of Conferences, vol. 16, p. 09003. EDP Sciences, 2014. https://doi.org/10.1051/matecconf/20141609003
Kiran, Palle. "Nonlinear thermal convection in a viscoelastic nanofluid saturated porous medium under gravity modulation." Ain Shams Engineering Journal 7, no. 2 (2016): 639-651. https://doi.org/10.1016/j.asej.2015.06.005
Kiran, Palle, B. S. Bhadauria, and Vineet Kumar. "Thermal convection in a nanofluid saturated porous medium with internal heating and gravity modulation." Journal of Nanofluids 5, no. 3 (2016): 328-339. https://doi.org/10.1166/jon.2016.1220
Kiran, Palle, and Y. Narasimhulu. "Centrifugally driven convection in a nanofluid saturated rotating porous medium with modulation." Journal of Nanofluids 6, no. 3 (2017): 513-523. https://doi.org/10.1166/jon.2017.1333
Kiran, Palle, and Y. Narasimhulu. "Internal heating and thermal modulation effects on chaotic convection in a porous medium." Journal of Nanofluids 7, no. 3 (2018): 544-555. https://doi.org/10.1166/jon.2018.1462
Kiran, Palle, B. S. Bhadauria, and R. Roslan. "The effect of throughflow on weakly nonlinear convection in a viscoelastic saturated porous medium." Journal of Nanofluids 9, no. 1 (2020): 36-46. https://doi.org/10.1166/jon.2020.1724
Venezian, Giulio. "Effect of modulation on the onset of thermal convection." Journal of Fluid Mechanics 35, no. 2 (1969): 243-254. https://doi.org/10.1017/S0022112069001091
Gresho, P. M., and R. L. Sani. "The effects of gravity modulation on the stability of a heated fluid layer." Journal of Fluid Mechanics 40, no. 4 (1970): 783-806. https://doi.org/10.1017/S0022112070000447
Kiran, Palle. "Gravitational modulation effect on double-diffusive oscillatory convection in a viscoelastic fluid layer." Journal of Nanofluids 11, no. 2 (2022): 263-275. https://doi.org/10.1166/jon.2022.1827
Kiran, Palle. "Gravity modulation effect on weakly nonlinear thermal convection in a fluid layer bounded by rigid boundaries." International Journal of Nonlinear Sciences and Numerical Simulation (2021). https://doi.org/10.1515/ijnsns-2021-0054
Kiran, Palle. "Nonlinear throughflow and internal heating effects on vibrating porous medium." Alexandria Engineering Journal 55, no. 2 (2016): 757-767. https://doi.org/10.1016/j.aej.2016.01.012
Kiran, Palle, and Y. Narasimhulu. "Weakly nonlinear oscillatory convection in an electrically conduction fluid layer under gravity modulation." International Journal of Applied and Computational Mathematics 3 (2017): 1969-1983. https://doi.org/10.1007/s40819-016-0218-z
Gaikwad, S. N., Preeti Bhushan, and Palle Kiran. "Effects of Throughflow and Gravity Modulation on Thermal Convection in a Couple Stress Fluid Saturated Porous Layer." CFD Letters 14, no. 7 (2022): 1-17. https://doi.org/10.37934/cfdl.14.7.117
Umavathi, J. C. "Effect of thermal modulation on the onset of convection in a porous medium layer saturated by a nanofluid." Transport in Porous Media 98 (2013): 59-79. https://doi.org/10.1007/s11242-013-0133-2
Bhadauria, B. S., and Shilpi Agarwal. "Natural convection in a nanofluid saturated rotating porous layer: a nonlinear study." Transport in Porous Media 87 (2011): 585-602. https://doi.org/10.1007/s11242-010-9702-9
Agarwal, Shilpi, Beer S. Bhadauria, and P. G. Siddheshwar. "Thermal instability of a nanofluid saturating a rotating anisotropic porous medium." Special Topics & Reviews in Porous Media: An International Journal 2, no. 1 (2011): 53-64. https://doi.org/10.1615/SpecialTopicsRevPorousMedia.v2.i1.60
Agarwal, Shilpi. "Natural convection in a nanofluid-saturated rotating porous layer: A more realistic approach." Transport in Porous Media 104 (2014): 581-592. https://doi.org/10.1007/s11242-014-0351-2
Khalid, Izzati Khalidah, Nor Fadzillah Mohd Mokhtar, and Zarina Bibi Ibrahim. "Control Effect on Rayleigh-Benard Convection in Rotating Nanofluids Layer with Double-Diffusive Coefficients." CFD Letters 14, no. 3 (2022): 79-95. https://doi.org/10.37934/cfdl.14.3.7995
Najib, Najwa, and Norfifah Bachok. "Numerical Analysis of Boundary Layer Flow and Heat Transfer over a Shrinking Cylinder." CFD Letters 14, no. 5 (2022): 56-67. https://doi.org/10.37934/cfdl.14.5.5667
Alkasasbeh, Hamzeh T. "Numerical solution of heat transfer flow of casson hybrid nanofluid over vertical stretching sheet with magnetic field effect." CFD Letters 14, no. 3 (2022): 39-52. https://doi.org/10.37934/cfdl.14.3.3952
Phu, Nguyen Minh, Pham Ba Thao, and Duong Cong Truyen. "Heat and fluid flow characteristics of nanofluid in a channel baffled opposite to the heated wall." CFD Letters 13, no. 1 (2021): 33-44. https://doi.org/10.37934/cfdl.13.1.3344
Azman, Azraf, Mohd Zamri Yusoff, Azfarizal Mukhtar, Prem Gunnasegaran, Nasri A. Hamid, and Ng Khai Ching. "Numerical study of heat transfer enhancement for mono and hybrid nanofluids flow in a straight pipe." CFD Letters 13, no. 2 (2021): 49-61. https://doi.org/10.37934/cfdl.13.2.4961
Agarwal, Shilpi, and B. S. Bhadauria. "Convective heat transport by longitudinal rolls in dilute nanoliquids." Journal of Nanofluids 3, no. 4 (2014): 380-390. https://doi.org/10.1166/jon.2014.1110
Rana, Puneet, and Shilpi Agarwal. "Convection in a binary nanofluid saturated rotating porous layer." Journal of Nanofluids 4, no. 1 (2015): 59-65. https://doi.org/10.1166/jon.2015.1123
Agarwal, Shilpi, and Puneet Rana. "Nonlinear convective analysis of a rotating Oldroyd-B nanofluid layer under thermal non-equilibrium utilizing Al2O3-EG colloidal suspension." The European Physical Journal Plus 131, no. 4 (2016): 101. https://doi.org/10.1140/epjp/i2016-16101-0
Bhadauria, B. S., and Palle Kiran. "Heat transport in an anisotropic porous medium saturated with variable viscosity liquid under temperature modulation." Transport in Porous Media 100 (2013): 279-295. https://doi.org/10.1007/s11242-013-0216-0
Kiran, Palle, and B. S. Bhadauria. "Chaotic convection in a porous medium under temperature modulation." Transport in Porous Media 107, no. 3 (2015): 745-763. https://doi.org/10.1007/s11242-015-0465-1
Kiran, Palle, B. S. Bhadauria, and Y. Narasimhulu. "Weakly nonlinear and nonlinear magneto-convection under thermal modulation." Journal of Applied Nonlinear Dynamics 6, no. 4 (2017): 487-508. https://doi.org/10.5890/JAND.2017.12.005
Kiran, P., Y. Narasimhulu, and S. H. Manjula. "Weakly nonlinear oscillatory convection in a viscoelastic fluid saturated porous medium with throughflow and temperature modulation." International Journal of Applied Mechanics and Engineering 23, no. 3 (2018): 635-653. https://doi.org/10.2478/ijame-2018-0035
Manjula, S. H., and Palle Kiran. "Nonlinear thermal instability of couple-stress fluids in porous media under thermal modulation." In Proceedings of Fourth International Conference on Inventive Material Science Applications: ICIMA 2021, pp. 361-372. Singapore: Springer Singapore, 2021. https://doi.org/10.1007/978-981-16-4321-7_31
Davis, Stephen H. "The stability of time-periodic flows." Annual Review of Fluid Mechanics 8, no. 1 (1976): 57-74. https://doi.org/10.1146/annurev.fl.08.010176.000421
Bhadauria, B. S., and Palle Kiran. "Weak nonlinear double diffusive magneto-convection in a Newtonian liquid under temperature modulation." International Journal of Engineering Mathematics 2014 (2014): 01-14. https://doi.org/10.1155/2014/296216
Kiran, P. "Throughflow and g-jitter effects on binary fluid saturated porous medium." Applied Mathematics and Mechanics 36 (2015): 1285-1304. https://doi.org/10.1007/s10483-015-1984-9
Kiran, Palle, and B. S. Bhadauria. "Weakly nonlinear oscillatory convection in a rotating fluid layer under temperature modulation." Journal of Heat Transfer 138, no. 5 (2016): 051702. https://doi.org/10.1115/1.4032329
Govindarajan, Arjunan, Boris A. Malomed, Arumugam Mahalingam, and Ambikapathy Uthayakumar. "Modulational instability in linearly coupled asymmetric dual-core fibers." Applied Sciences 7, no. 7 (2017): 645. https://doi.org/10.3390/app7070645
Djob, Roger Bertin, Aurelien Kenfact-Jiotsa, and A. Govindarajan. "Non-Lagrangian approach for coupled complex Ginzburg-Landau systems with higher order-dispersion." Chaos, Solitons & Fractals 132 (2020): 109578. https://doi.org/10.1016/j.chaos.2019.109578
Drissi, Mohamed, Mohamed Mansouri, Said Mesmoudi, and Khalid Saadouni. "On the use of a Pseudo-spectral method in the Asymptotic Numerical Method for the resolution of the Ginzburg-Landau envelope equation." Engineering Structures 262 (2022): 114236. https://doi.org/10.1016/j.engstruct.2022.114236
Kiran, P. "Throughflow and gravity modulation effects on heat transport in a porous medium." Journal of Applied Fluid Mechanics 9, no. 3 (2016): 1105-1113. https://doi.org/10.18869/acadpub.jafm.68.228.24682
Kiran, Palle, B. S. Bhadauria, and Vineet Kumar. "Thermal convection in a nanofluid saturated porous medium with internal heating and gravity modulation." Journal of Nanofluids 5, no. 3 (2016): 328-339. https://doi.org/10.1166/jon.2016.1220
Bhadauria, B. S., and Palle Kiran. "Weak nonlinear analysis of magneto-convection under magnetic field modulation." Physica Scripta 89, no. 9 (2014): 095209. https://doi.org/10.1088/0031-8949/89/9/095209
Downloads
Published
How to Cite
Issue
Section
