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              <text>Stability Analyses of BrinkmanBard Convection in Hybrid-Nanoliquid Saturated-Porous Medium Using Local Thermal Non-equilibrium Model</text>
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              <text>BrinkmanBard convection; Hybrid nanoliquid; Local thermal non-equilibrium; Porous medium; Stability analysis</text>
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              <text>This paper carries out linear and weakly non-linear stability analyses of natural convection in a Newtonian hybrid-nanoliquid saturated porous medium. The Boussinesq approximation is assumed to be valid in the study, and a two-phase energy model is used. The weighted residual Galerkin technique is employed to obtain the expression for the Rayleigh number and Lorenz model by using a truncated double Fourier series solution. The quadratic non-linear Lorenz model is solved numerically by using the RungeKuttaFehlberg method. Water is considered as a carrier liquid, and copper and alumina nanoparticles are considered with dilute concentration. Linear stability analysis reveals the onset of convection prepones in a hybrid nanoliquid-saturated porous medium. The amount of heat transport is maximum in a hybrid nanoliquid saturated porous medium and minimum in a liquid-saturated porous medium. Local thermal non-equilibrium situation ceases at higher rates of interphase heat transfer coefficient. The assumption of local thermal non-equilibrium is prominent in hybrid nanoliquid saturated porous medium. The results of the hybrid-nanoliquid channel, a hybrid nanoliquid saturated porous medium with the local thermal assumption, are presented as a limiting case of the study.  2024, The Author(s), under exclusive licence to Springer Nature India Private Limited.</text>
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              <text>Siddabasappa C.; Sakshath T.N.</text>
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              <text>International Journal of Applied and Computational Mathematics, Vol-10, No. 1</text>
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              <text>2024-01-01</text>
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              <text>&lt;a href="https://doi.org/10.1007/s40819-023-01658-5" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.1007/s40819-023-01658-5&lt;/a&gt;
&lt;br /&gt;&lt;br /&gt;&lt;a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85181249577&amp;amp;doi=10.1007%2Fs40819-023-01658-5&amp;amp;partnerID=40&amp;amp;md5=9d5f105a5b976f6a9e32771ba09d284d" target="_blank" rel="noreferrer noopener"&gt;https://www.scopus.com/inward/record.uri?eid=2-s2.0-85181249577&amp;amp;doi=10.1007%2fs40819-023-01658-5&amp;amp;partnerID=40&amp;amp;md5=9d5f105a5b976f6a9e32771ba09d284d&lt;/a&gt;</text>
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              <text>ISSN: 23495103</text>
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              <text>Siddabasappa C., Department of Sciences and Humanities, CHRIST (Deemed to be University), Karnataka, Bangalore, 560 074, India; Sakshath T.N., Department of Mathematics, R V College of Engineering, Mysore Road, RV Vidyaniketan Post, Karnataka, Bangalore, 560 059, India</text>
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