CONVECTIVE INSTABILITY IN POROUS MEDIA: IMPACT OF CHEMICAL REACTION ON MAXWELL-CATTANEO COUPLE-STRESS FERROMAGNETIC FLUIDS
DOI:
https://doi.org/10.15421/jchemtech.v32i3.308945Keywords:
Ferro convection, Maxwell-Cattaneo law, Couple stress, Chemical reaction, Porous MediumAbstract
The current study analyzes the initiation of convection in a Maxwell-Cattaneo couple-stress ferrofluid within a porous layer, considering the effects of a chemical reaction. Small perturbations are applied to the fluid under the assumption of a zero-order energy release chemical reaction. The system is cooled from the upper layer while maintaining a steady temperature at the lower boundary. We employed linear stability analysis and determined Rayleigh number using the Galerkin Method (GM). This study emphasizes the influence of magnetic, chemical, Maxwell-Cattaneo, and couple-stress parameters on the initiation of ferro-convection. The findings indicate that both magnetic and chemical reaction parameters hasten the initiation of ferro-convection, while the porous medium and couple-stress parameters have a stabilizing effect. Notably, it is demonstrated that the destabilizing effects of chemical reactions and magnetic stresses can be effectively regulated in the presence of couple-stresses. The solutions provide insights into the potential application of ferromagnetic fluids for controlling efficient heat transfer mechanisms.
References
Rayleigh, L. (1901). Les tourbillions cellularies dans une nappe liquid transportant de la chaleut par convection en regime permanent, Ann. Che. Phys., 62(23), 254–266, doi: 10.1051/jphystap:0190100100025400
Chandrasekhar, S. (1961). Hydrodynamic and Hydrodynamic Stability, Oxford: Oxford University Press.
Finlayson, B. A. (1970). Convective instability of ferromagnetic fluids, J. Fluid Mech., 40(04), 753–767, doi: 10.1017/S0022112070000423.
Rosensweig, R. (1985). Ferrohydrodynamics, Heidelberg: Cambridge University Press.
Papell, S. S. (1965). US-Patent-3,215,572NASA-CASE-XLE-01512, Low viscosity magnetic fluid obtained by the colloidal suspension of magnetic particles.
Vidhya Shree, V., Rudresha, C., Balaji, C. Maruthamanikandan, S. (1945). Effect of MFD viscosity on ferroconvection in a fluid saturated porous medium with variable gravity, J. Mines, Metals and Fuels, 16(6), 367–370, doi: 10.1063/1.1707601.
Mathew, S., Thomas, N. M., Maruthamanikandan, S. (2022). Ferroconvection in a horizontal Darcy-Brinkman porous medium with radiative transfer,” J. Mines, Metals and Fuels, 70(3ª), 68–77. doi: 10.18311/jmmf/2022/30671.
Pundir, S. K., Pundir, R., Aggarwal Sh. (2022). Study of thermal instability of a micropolar fluid with couplestress heated from below, Int. J. of Mechanical Engineering, 7(12), 259–268, doi: 10.56452/2022-12-026.
Stokes, V.K. (1966). Couple stresses in fluids, Phys. Fluids, 9(9), 1709–1715, doi: 10.1063/1.1761925.
Akanksha Thakur, S., Devi, R. (2023). The effect of couple stresses on stability analysis of magnetized ferrofluid saturating a porous medium heated from below, J. of Porous Media, 27(5), 85–106, doi: 10.1615/JPorMedia.2023050054.
Magdy, A. S., Assaf, A. (2024). Nonlinear flow of couple stress fluid layer over an inclined plate, Dynamics of Atmospheres and Oceans, 106, 101428. doi: 10.1016/j.dynatmoce.2023.101428.
Ishaq, M., Rehman, S. U., Riaz, M. B., Zahid, M. (2024). Hydrodynamical study of couple stress fluid flow in a linearly permeable rectangular channel subject to Darcy porous medium and no-slip boundary conditions, Alexandria Eng. J., 91, 50–69. doi: 10.1016/j.aej.2024.01.066.
Thomas, N. M., Maruthumanikandan, S. (2020). Chemical Reaction-Driven Ferroconvection in a Porous Medium, Advances in Fluid Dynamics, Lecture Notes in Mechanical Engineering, 363–371, doi: 10.1007/978-981-15-4308-1_28.
Thomas, N. M., Maruthumanikandan, S. (2021). Porous medium convection in a chemically reacting ferrofluid with lower boundary subjected to constant heat flux, Journal of Physics: Conference Series, 1850, doi: 10.1088/1742-6596/1850/1/012015.
Mahesh, R., Vishalakshi, A.B., Mahabaleshwar U.S., Sofos, F. (2023). Impact of an inclined magnetic field on couple stress fluid flow over a stretching surface with effect of Stefan blowing, radiation and chemical reaction, J. of Magnetism and Magnetic Materials, 580, 170953, doi: 10.1016/j.jmmm.2023.170953.
Babu, S., Thomas, N.M. (2024). Couple stress effect on ferro-convection triggered by chemical reaction in a porous layer with sparse distribution, J. of Chem. and Tech., 32(2), 480–488,
doi: 10.15421/jchemtech.v32i2.298409.
Mathew, S., Maruthumanikandan, S. (2021). Oscillatory porous medium ferroconvection with Maxwell-Cattaneo law of heat conduction,” J. of Phy.: Conference Series, 1850(1). doi:10.1088/1742-6596/1850/1/012024.
Naseer, A., Maruthamanikandan, S. (2024). Oscillatory Maxwell-Cattaneo ferroconvection in a densely packed rotating porous medium saturated with a viscoelastic magnetic fluid, East European Journal of Physics, 2. doi: 10.26565/2312-4334-2024-2-14.
Malashetty, M. S., Cheng, P., Chao, B. H. (1994). Convective instability in a horizontal porous layer saturated with a chemically reacting fluid. Int. J. Heat and Mass Transfer, 37(18), 2901–2908. doi: 10.1016/0017-9310(94)90344-1.
Murali, G., Paul, A., Babu, N.V.N. (2015). Heat and mass transfer effects on an unsteady hydromagnetic free convective flow over an infinite vertical plate embedded in a porous medium with heat absorption, Int. J. Open Problems Compt. Math, 8(1), 15–28. doi: 10.12816/0010706
Deepa, G., Murali, G., (2014). Analysis of soret and dufour effects onunsteady MHD flow past a semi infinite vertical porous plate via finite difference method, International journal of applied physics and mathematics, 4(5), 332–344. doi: 10.7763/IJAPM.2014.V4.306.
Murali, G., Paul, А., Babu, N.V.N. (2015). Numerical study of chemical reaction effects on unsteady MHD fluid flow past an infinite vertical plate embedded in a porous medium with variable suction, Electronic Journal of mathematical analysis and applications, 3(2), 179–192.
Babu, N.V.N., Paul, A., Murali, G. (2015). Soret and Dufour effects on unsteady hydromagnetic free convective fluid flow past an infinite vertical porous plate in the presence of chemical reaction, Journal of science and arts, 15(1), 99–111.
Murali, G., Reddy, M.C.K., Sivaiah, S. (2012). Finite element solution of thermal radiation effect on unsteady MHD flow past a vertical porous plate with variable suction, American Academic & Scholarly Research Journal, 4(3), 3–22.
Babu, N.V.N., Murali, G., Bhati, S.M. (2018). Casson fluid performance on natural convective dissipative couette flow past an infinite vertically inclined plate filled in porous medium with heat transfer, MHD and hall current effects, International journal of Pharmaceutical Research, 10(4).
Gundagani, M., Sheri, S., Paul, A., Reddy, M. C. K. (2013). Radiation Effects on an Unsteady MHD Convective Flow Past a Semi-Infinite Vertical Permeable Moving Plate Embedded in a Porous Medium with Viscous Dissipation, Walailak J Sci &; Tech, 10(5), 499–515.
doi: 10.2004/wjst.v10i5.380
Murali, G., Sivaiah, Sh., Paul, А., Reddy, M. C. K. (2013). Unsteady magnetohydrodynamic free convective flow past a vertical porous plate, International journal of applied science and engineering, 11(3), 267–275.
Murali, G., Deepa, G. Nirmala Kasturi, V, Poornakantha, T. (2023). Joint effects of thermal diffusion and diffusion thermo on MHD three dimensional nanofluid flow towards a stretching sheet, Mathematical models in engineering. https://doi.org/10.21595/mme.2023.23590.
Gundagani, M., Babu, N.V.N., Gadially, D. (2024). Study of Nano-Powell-Erying fluid flow past a porous stretching sheet by the effects of MHD, thermal and mass convective boundary conditions. J. Umm Al-Qura Univ. Eng. Archit. https://doi.org/10.1007/s43995-024-00056-2
Gundagani, M., Mamidi, L.P. Tanuku, P.K. (2024). Finite element solutions of Double diffusion effects on three-dimensional MHD Nano-Powell-Erying fluid flow in presence of thermal and mass Biot numbers. J. Eng. Appl. Sci., 71, 9. https://doi.org/10.1186/s44147-023-00347-w
Deepa, G., Murali, G (2014). Effects of viscous dissipation on unsteady MHD free convective flow with thermophoresis past a radiate inclined permeable plate, Iranian Journal of Science and Technology (Sciences), 38A3, doi: 10.22099/IJSTS.2014.2437
Murali, G, Babu, N.V.N. (2023). Convective MHD Jeffrey Fluid Flow Due to Vertical Plates with Pulsed Fluid Suction:A Numerical Study, Journal of computational applied mechanics, 56(1), 36–48.
Murali, G., Babu, N.V.N. (2012). Effect of Radiation on MHD Convection Flow Past a Vertical Permeable Moving Plate, International Journal of Advances in Applied Sciences (IJAAS), 1(1), 19–28.
Sivaaih, S., Murali, G., Reddy, M.C.K., Srinivasa R. (2012). Unsteady MHD mixed convection flow past a vertical porous plate in prsesence of radiation, International journal of basic and applied sciences, 1(4), 651–666.
Reddy, M.C.K., Murali, G., Sivaiah, S., Babu, N.V.N. (2012). Heat and mass transfer effects on unsteady MHD free convection flow past a vertical permeable moving plate with radiation, International Journal of Applied Mathematical Research, 1(2), 189–205.
Sivaiah, S., Murali, G., Reddy, M.C.K. (2012). Finite Element Analysis of Chemical Reaction and Radiation Effects on Isothermal Vertical Oscillating Plate with Variable Mass Diffusion, International Scholarly Research Network ISRN Mathematical Physics, 2012, 401515, doi:10.5402/2012/401515.
Murali, G., Sheri, S., Reddy, M.C.K. (2012). Soret and dufour effects on unsteady mhd mixed convection flow past a verticle porous plate with thermal radiation, Caspian journal of applied sciences research, 1(9). doi: 10.4236/am.2012.37105
Singh, N., Kaur, J., Thakur, P., Murali, G. (2023). Structural behaviour of annular isotropic disk made of steel/copper material with gradually varying thickness subjected to internal pressure, structural integrity and life, 23(3), 293–297.
Sheri, S., Gundagani, M., Karanamu, M. P. (2012). Analysis of Heat and Mass Transfer Effects on an Isothermal Vertical Oscillating Plate.Walailak Journal of Science and Technology (WJST), 9(4),407–415. https://wjst.wu.ac.th/index.php/wjst/article/view/451
Eswaramoorthi, S., Sivasankaran, S. (2022). Entropy optimization of MHD Casson-Williamson Fluid Flow over a convectively heated stretchy sheet with Cattaneo-Christov dual Flux. Scientia Iranica, 29(5), 2317–2331. doi: 10.24200/sci.2022.58291.5654
Prabakaran, R, Eswaramoorthi, S, Loganathan, K, Sarris, I. E. (2022). Investigation on Thermally Radiative Mixed Convective Flow of Carbon Nanotubes/Al2O3 Nanofluid in Water Past a Stretching Plate with Joule Heating and Viscous Dissipation. Micromachines. 13(9), 1424. https://doi.org/10.3390/mi13091424
Riaz, S., Afzaal, M. F., Wang, Z., Jan, A., Farooq, U. (2023). Numerical heat transfer of non-similar ternary hybrid nanofluid flow over linearly stretching surface. Numerical Heat Transfer, Part A: Applications, 1–15. https://doi.org/10.1080/10407782.2023.2251093
Cui J, Jan A, Farooq U, Hussain M, Khan WA. Thermal Analysis of Radiative Darcy–Forchheimer Nanofluid Flow across an Inclined Stretching Surface. Nanomaterials. 2022; 12(23):4291. https://doi.org/10.3390/nano12234291
Farooq, J., Mushtaq, M., Munir, S. et al. Slip flow through a non-uniform channel under the influence of transverse magnetic field. Sci Rep 8, 13137 (2018). https://doi.org/10.1038/s41598-018-31538-8
Jan, A., Mushtaq, M., Farooq, U., Hussain, M. (2022). Nonsimilar analysis of magnetized Sisko nanofluid flow subjected to heat generation/absorption and viscous dissipation, Journal of Magnetism and Magnetic Materials, 564(2), 170153 https://doi.org/10.1016/j.jmmm.2022.170153.
Cui, J., Munir, Sh., Raies, S. F., Farooq, U., Razzaq, R. (2022). Non-similar aspects of heat generation in bioconvection from flat surface subjected to chemically reactive stagnation point flow of Oldroyd-B fluid, Alexandria Engineering Journal, 61(7), ,5397–5411. https://doi.org/10.1016/j.aej.2021.10.056.
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