COUPLE STRESS EFFECT ON FERRO-CONVECTION TRIGGERED BY CHEMICAL REACTION IN A POROUS LAYER WITH SPARSE DISTRIBUTION
DOI:
https://doi.org/10.15421/jchemtech.v32i2.298409Keywords:
Ferro-convection; Couple Stress; Chemical Reaction; Porous Media; Galerkin Method; Linear Stability Analysis; Normal Mode Technique.Abstract
The study delves into the impact of couple stress on the commencement of convection in a porous material oriented horizontally. This layer contains a chemically reactive ferromagnetic fluid and experiences bottom heating. The investigation utilizes small perturbation methodology to explore and understand the impact of couple stress on the initiation of convection in this specific system. With the assumption of a non-autocatalytic exothermic reaction, eigenvalues are determined utilizing the Galerkin method. The analysis explores the effects of magnetic and couple stress parameters, as well as the Frank-Kamenetskii number. The observation indicates that the acceleration of the onset of ferroconvection is influenced by both magnetic forces and chemical reactions. Simultaneously, the presence of the couple stress component serves to stabilize the system. Moreover, when the nonlinearity of magnetization is sufficiently pronounced, the destabilization of the fluid layer is observed to be marginal.
References
Bashtovoy, V.G., Berkovsky, B.M.,Vislovich, A.N. (1987). Introduction to thermomechanics of magnetic fluids. Hemisphere, Washington DC
Finlayson, B.A. (1970). Convective instability of ferromagnetic fluids. J. Fluid.Mech., 40, 753–767
Gupta, M.D., Gupta, A.S. (1979). Convective instability of layer of a ferromagnetic fluid rotatingabout a vertical axis. Int. J.Eng.Sci., 17, 271–277
Thomas, N.M.,Maruthamanikandan, S. (2013). Effect of gravity modulation on the onset of ferro convection in a densely packed porous layer. IOSR J. Appl. Phys., 3, 30–40
Thomas, N.M.,Maruthamanikandan, S. (2018). Gravity modulation effect on ferromagneticconvection in a Darcy-Brinkman layer of porous medium. J Phys: Conf Ser., 1139, 012022
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, 2021,1850, doi: 10.1088/1742-6596/1850/1/012015.
Thomas, N.M., Mathew, S., Maruthamanikandan, S. (2022). Effect of time-dependent sinusoidal boundarytemperatures on the onset of ferroconvectionina porous medium. J. Mines Met. Fuels., 70(3A), 78–83. https://doi.org/10.18311/jmmf/2022/30672
Mathew, S., Thomas, N.M., Maruthamanikandan, S. (2022). Ferroconvection in a horizontal Darcy-Brinkmanporous medium with radiative transfer. J Mines Met. Fuels, 70(3A), 68–77. doi:10.18311/jmmf/2022/30671
Thomas, N.M.,Maruthamanikandan, S. (2021). Chemical Reaction-DrivenFerroconvection in a Porous Medium. Advances in Fluid Dynamics, 363–371.
Stokes, V.K. (1966). Couple stresses in fluids. Phys Fluids, 9, 1709–1715.
Taj, M., Maruthamanikandan, S.,Khudeja, S. (2013). Effect of chemical reaction on convectiveinstability in a horizontal porous layer saturated with a couple-stress fluid. Int J Eng Res Appl., 3, 1742–1748
George,S.,Thomas,M. (2018). Effect of Gravity Modulation and Internal Heat Generation on Rayleigh-Bénard Convection in Couple Stress Fluid with Maxwell-Cattaneo Law. Int. J. Appl. Eng. Res. 13(5), 2688
Krishna Reddy, M.C., 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. https://doi.org/10.14419/ijamr.v1i2.45
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), 15–27.
Gadipally, D.,Murali, G. (2014). Analysis of soret and dufour effects on unsteady 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.
Babu, N.V.N., Ajit Paul,G., Murali, S. (2015). 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. (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.
Murali, G., Ajit, P., 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. doi:10.21608/EJMAA.2015.310762.
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).
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, 54(1), 36–48.
doi 10.22059/JCAMECH.2023.351326.773.
Sumithra, R., Venkatraman S. (2020). Darcy-Benard Marangoni Convection in a Composite Layer Comprising of Couple Stress Fluid. Int. J. Appl. Eng. Res. 15(7), 659
Rudresha, C., Balaji, C., Vidya V., Shree, Maruthamanikandan, S. (2022). Effect of Electric Field Modulation on the Onset of Electroconvection in a Couple Stress Fluid. East European J. Phys., 4, 104–111 https://doi.org/10.26565/2312-4334-2022-4-09
Chandrasekhar. (1961). Hydrodynamic and Hydrodynamic Stability, Oxford: Oxford University Press.
Finlayson B.A. (1972).The method of weighted residuals and variational principles.Academic Press, New York.
Nield, D.A. (2013).Bejan Convection in porous media. Springer, New YorkA.
Kole, M., Khandekar, S. (2021). Engineering Applications of ferrofluids, Journal of Magnetism and Magnetic Materials, 537.
doi: 10.1016/j.jmmm.2021.168222.
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. 9(4), 130–143. 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
Thakur, A., Sunil, Devi, R. (2023). The Effect Of Couple Stresses On Stability Analysis Of Magnetized Ferrofluid Saturating A Porous Medium Heated From Below, Journal of Porous Media, 27(5), 85–106. doi:10.1615/jpormedia.2023050054 .
Mahajan, A., Parashar, H. (2020). Linear and weakly nonlinear stability analysis on a rotating anisotropic ferrofluid layer, Phys. Fluids, 32(2), 024101. doi: 10.1063/1.5133102.
Straughan, B. (2022). Effect of anisotropy and boundary conditions on Darcy and Brinkman porous penetrative convection, Environmental Fluid Mechanics, 22(6), 1233–1252, doi: 10.1007/s10652-022-09888-9.
Ahmed, N., Maruthamanikandan, S. (2023). Oscillatory Thermoconvective Instability in a Viscoelastic Magnetic Fluid Saturated Anisotropic Porous Medium with Second Sound, Eur. Chem. Bull., 12(6), 899–928, doi: 10.31838/ecb/2023.12.6.83
Balaji, C., Rudresha, C., Vidya V., Shree, Maruthamanikandan, S. (2022). Thermomagnetic ferroconvection in an anisotropic permeable layer exposed to a modulated magnetic field, Int. J. Math. Phys., 13(2), 58–67. doi:10.26577/ijmph.2022.v13.i2.08.
Rudresha, C., Balaji, C., Vidya, V. Shree, Maruthamanikandan, S. (2022). Effect of electric field modulation on the onset of electroconvection in an anisotropic porous layer saturated with a dielectric fluid, J. Comp. Appl. Mech., 53(4), 510–523, doi:10.22059/jcamech.2022.348183.753.
Downloads
Published
Issue
Section
License
Copyright (c) 2024 Oles Honchar Dnipro National University
This work is licensed under a Creative Commons Attribution 4.0 International License.
- Authors reserve the right of attribution for the submitted manuscript, while transferring to the Journal the right to publish the article under the Creative Commons Attribution License. This license allows free distribution of the published work under the condition of proper attribution of the original authors and the initial publication source (i.e. the Journal)
- Authors have the right to enter into separate agreements for additional non-exclusive distribution of the work in the form it was published in the Journal (such as publishing the article on the institutional website or as a part of a monograph), provided the original publication in this Journal is properly referenced
- The Journal allows and encourages online publication of the manuscripts (such as on personal web pages), even when such a manuscript is still under editorial consideration, since it allows for a productive scientific discussion and better citation dynamics (see The Effect of Open Access).
