INFLUENCE OF CORIOLIS FORCE ON CONTROLLED DOUBLE-DIFFUSIVE MARANGONI CONVECTION IN NANOFLUID LAYERS
DOI:
https://doi.org/10.24191/mjoc.vo11i1.9938Keywords:
Controller Gain, Coriolis Force, Double-Diffusive Coefficients, Nanofluids Layer, Marangoni ConvectionAbstract
Controlled double-diffusive Marangoni convection in a rotating nanofluid layer, heated from below, is studied. Various types of lower-upper boundary conditions, including free-free and rigid-free, are considered. The nanofluids model incorporates the mechanisms of Brownian motion and thermophoresis in nanofluids. The stability of the nanofluids model is analysed using a linear stability analysis based on the normal mode technique. The eigenvalue problem is numerically solved using the Galerkin technique and computational simulations are carried out using Maple software. The influences of several parameters are examined and presented graphically, including modified diffusivity ratio, nanoparticles concentration, solutal Rayleigh number and Soret effects. These effects are found to contribute to the advancement of Marangoni convection, a phenomenon that occurs due to variations in surface tension along the interface of a nanofluid layer. Conversely, the presence of the Coriolis force (due to the rotation), controller gain, and Dufour effects are observed to slow down the process of Marangoni convection.
References
Abidin, N. H. Z., Mokhtar, N. F. M., & Majid, Z. A. (2019). Onset of Benard-Marangoni instabilities in a double diffusive binary fluid layer with temperature-dependent viscosity. Numerical Algebra, Control and Optimization, 9(4), 413-421.
Ahuja, J., & Sharma, J. (2020). Rayleigh-Benard instability in nanofluids: a comprehensive review. Micro and Nano Systems Letters, 8(21), 1-15.
Bau, H. H. (1999). Control of Marangoni-Benard convection. International Journal of Heat and Mass Transfer, 42(7), 1327-1341.
Boeck, T., & Thess, A. (1997). Inertial Benard-Marangoni convection. Journal of Fluid Mechanics, 350(10), 149-175.
Buongiorno, J. (2006). Convective transport in nanofluids. ASME Journal of Heat and Mass Transfer, 128(3), 240-250.
Chand, R., & Rana, G. C. (2015). Magneto convection in a layer of nanofluid with Soret effect. Acta Mechanica et Automatica, 9(2).
Chandrasekhar, S. (1961). Hydrodynamic and hydromagnetic stability. Oxford University Press.
Choi, S. U. S., & Eastman, J. A. (1995). No. ANL/MSD/CP 84938; CONF-951135-29 (Argonne National Lab., Argonne, IL, US, 1995).
Douiebe, A., Hannaoui, M., Lebon, G., Benaboud, A., & Khmou, A. (2001). Effect of a.c. Electric field and rotation on Benard-Marangoni convection. Flow, Turbulence and Combustion, 67, 185-204.
Farhana, K., Kadirgama, K., Ramasamy, D., Samykano, M., & Najafi, G. (2020). Experimental studies on thermos-physical properties of nanocellulose-aqueous ethylene glycol nanofluids. Journal of Advanced Research in Materials Science, 69(1), 1-15.
Friedrich, R., & Rudraiah, N. (1984). Marangoni convection in a rotating fluid layer with non-uniform temperature gradient. International Journal of Heat and Mass Transfer, 27(3), 443-449.
Gholamalizadeh, E., Pahlevanzadeh, F., Ghani, K., Karimipour, A., Nguyen, T. K., & Safaei, M. R. (2020). Simulation of water/FMWCNT nanofluid forced convection in a microchannel filled with porous material under slip velocity and temperature jump boundary conditions. International Journal of Numerical Methods for Heat & Fluid Flow, 30(5), 2329-2349.
Howle, L. E. (1997a). Control of Rayleigh-Benard convection in a small aspect ratio container. International Journal of Heat and Mass Transfer, 40(4), 817-822.
Howle, L. E. (1997b). Active control of Rayleigh-Benard convection. Physics of Fluids, 9(7), 1861-1863.
Howle, L. E. (1997c). Linear stability analysis of controlled Rayleigh-Benard convection using shadowgraphic measurement. Physics of Fluids, 9, 3111-3113.
Kechil, S. A., & Hashim, I. (2009). Oscillatory Marangoni convection in variable-viscosity fluid layer: The effect of thermal feedback control. International Journal of Thermal Sciences, 48(6), 1102-1107.
Khalid, I. K., Mokhtar, N. F. M., Siri, Z., & Ibrahim, Z. B. (2017). The effect of magnetic field on Marangoni convection in a nanofluid layer with internal heat source. In Proceedings of the 13-th IMT-GT International Conference on Mathematics, Statistics and Their Applications. ICMSA2017.
Khalid, I. K., Mokhtar, N. F. M., Siri, Z., Ibrahim, Z. B., & Gani, S. S. A. (2019). Magnetoconvection on the double-diffusive nanofluids layer subjected to internal heat generation in the presence of Soret and Dufour effects. Malaysian Journal of Mathematical Sciences, 13(3), 397-418.
Khalid, I. K., Mokhtar, N. F. M., Ibrahim, Z. B., & Siri, Z. (2020). Rayleigh-Benard convection in Maxwell nanofluids layer saturated in a rotating porous medium with feedback control subjected to viscosity and thermal conductivity variations. Applied Nanoscience, 10, 3085-3095.
Khalid, I. K., Mokhtar, N. F. M., & Ibrahim, Z. B. (2021). Rayleigh-Benard convection in nanofluids layer saturated in a rotating anisotropic porous medium with feedback control and internal heat source. CFD Letters, 13(11), 1-20.
Khalid, I. K., Mokhtar, N. F. M., & Ibrahim, Z. B. (2022). Control effect on Rayleigh-Benard convection in rotating nanofluids layer with double-diffusive coefficients. CFD Letters, 14(3), 79-95.
Kopp, M. I., & Yanovsky, V. V. (2022). Thermal convection in a rotating porous medium saturated by a nanofluid under a helical magnetic field. Journal of Applied Physics, 132, 084302.
Mansor, N. F. C., Aksah, S. J., Izni, N. A., Yusof, K. H., & Mohammed, M. N. (2025). Utilizing Mathematical Software for the teaching and learning of Mathematics in Malaysia. Malaysian Journal of Computing, 10(2), 2293-2307.
McConaghy, G. A., & Finlayson, B. A. (1969). Surface tension driven oscillatory instability in a rotating fluid layer. International Journal of Fluid Mechanics, 39(1), 49-55.
Menni, Y., Chamka, A. J., & Houari, A. (2020). Advances of nanofluids in heat exchangers-a review. Heat Transfer, 49(8), 4321-4349.
Nield, D. A. & Kuznetsov, A. V. (2010). The onset of convection in a horizontal nanofluid layer of finite depth. European Journal of Mechanics B/Fluids, 29(3), 217 - 223.
Pearson, J. R. A. (1958). On convection cells induced by surface tension. Journal of Fluid Mechanics, 4(5), 489-500.
Rafeek, K. V. M., Reddy, G. J., Ragoju, R., Reddy, G. S. K., & Sheremet, M. A. (2022). Impact of throughflow and Coriolis force on the onset of Double-Diffusive with internal heat source. Coatings, 12, 1096.
Siri, Z., Mustafa, Z., & Siri, Z. (2009). Effects of rotation and feedback control on Benard-Marangoni convection. International Journal of Heat and Mass Transfer, 52(25-26), 5770-5775.
Takashima, M., & Namikawa, T. (1971). Surface-tension-driven convection under the simultaneous action of a magnetic field and rotation. Physics Letters A, 37(1), 55-56.
Tang, J., & Bau, H. H. (1993a). Stabilization of the no-motion state in Rayleigh-Benard convection through the use of feedback control. Physical Review Letters, 70, 1795-1798.
Tang, J., & Bau, H. H. (1993b). Feedback control stabilization of the no-motion state of a fluid confined in a horizontal porous layer heated from below. Journal of Fluid Mechanics, 257, 485-505.
Tang, J., & Bau, H. H. (1995). Stabilization of the no-motion state of a horizontal fluid layer heated from below with Joule heating. ASME Journal of Heat and Mass Transfer, 117(2), 329-333.
Tang, J., & Bau, H. H. (1998a). Experiments on the stabilization of the no-motion state of a fluid layer heated from below and cooled from above. Journal of Fluid Mechanics, 363, 153-171.
Tang, J., & Bau, H. H. (1998b). Numerical investigation of the stabilization of the no-motion state of a fluid layer heated from below and cooled from above. Physics of Fluids, 10, 1597-1610.
Tzou, D. Y. (2008a). Instability of nanofluids in natural convection. ASME Journal of Heat and Mass Transfer, 130(7), 1-9.
Tzou, D. Y. (2008b). Thermal instability of nanofluids in natural convection. International Journal of Heat and Mass Transfer, 51(11-12), 2967-2979.
Yadav, D., Agrawal, G. S., & Bhargava, R. (2011). Rayleigh-Benard convection in nanofluids. International Journal of Applied Mathematics, 7, 61-76.
Yadav, D., Agrawal, G. S., & Bhargava, R. (2011). Thermal instability of rotating nanofluid layer. International Journal of Engineering Sciences, 49(11), 1171-1184.
Yadav, D., Bhargava, R., & Agrawal, G. S. (2013). Numerical solution of a thermal instability problem in a rotating nanofluid layer. International Journal of Heat and Mass Transfer, 63, 313-322.
Yadav, D., Bhargava, R., Agrawal, G. S., Lee, J., & Kim, M. C. (2014). Magneto-convection in a rotating layer of nanofluid. Asia-Pacific Journal of Chemical Engineering, 9(5), 663-677.
Yadav, D., Bhargava, R., Agrawal, G. S., & Lee, J. (2016). Thermal instability in a rotating nanofluid layer: A revised model. Ain Shams Engineering Journal, 7(1), 431-440.
Yadav, D. (2020). The onset of Darcy-Brinkman convection in a porous medium layer with vertical throughflow and variable gravity field effects. Heat Transfer, 49, 3161-3173.
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