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          <name>Title</name>
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              <text>Study of Natural Convection with Local Thermal Non Equilibrium Effects in Nanoliquid-Saturated Low Porosity Enclosures</text>
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              <text>Darcy model; Enclosures; Local thermal non-equilibrium (LTNE); Nanoliquid; Natural convection; Porous medium; Single-phase model</text>
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              <text>Natural convection of nanoliquid in densely packed vertical porous enclosure is studied by subjecting the vertical walls to constant heat flux under local thermal non-equilibrium (LTNE) assumptions. Water, copper nanoparticles and porous material made of aluminum foam, glass balls and sand are considered for the study. The governing equations are modelled using single-phase model. Thermophysical properties of nanoliquid and nanoliquid-saturated porous medium are calculated using phenomenological laws and mixture theory. An analytical expression for velocity and temperature profiles of nanoliquid (base liquid+nanoparticles) and solid (porous medium) phases has been obtained. Weighted average Nusselt number is expressed as a function of aspect ratio, volume fraction, and properties concerning LTNE effects. LTNE effect is shown to be a heat transfer enhancing mechanism. The presence of nanoparticles is to enhance the heat transfer in water. Local thermal equilibrium results are obtained as a limiting case of the present study and so obtained results are compared with previously published paper in the literature.  2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.</text>
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              <text>Siddheshwar P.G.; Veena B.N.</text>
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              <text>International Journal of Applied and Computational Mathematics, Vol-8, No. 1</text>
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              <text>2022-01-01</text>
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              <text>&lt;a href="https://doi.org/10.1007/s40819-021-01218-9" target="_blank" rel="noreferrer noopener"&gt;https://doi.org/10.1007/s40819-021-01218-9&lt;/a&gt;
&lt;br /&gt;&lt;br /&gt;&lt;a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85122708972&amp;amp;doi=10.1007%2Fs40819-021-01218-9&amp;amp;partnerID=40&amp;amp;md5=a80ef2c264ab76406e822ad1c921069a" target="_blank" rel="noreferrer noopener"&gt;https://www.scopus.com/inward/record.uri?eid=2-s2.0-85122708972&amp;amp;doi=10.1007%2fs40819-021-01218-9&amp;amp;partnerID=40&amp;amp;md5=a80ef2c264ab76406e822ad1c921069a&lt;/a&gt;</text>
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              <text>ISSN: 23495103</text>
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              <text>Siddheshwar P.G., Centre for Mathematical Needs, Department of Mathematics, Christ (Deemed to be University), Bengaluru, 560029, India; Veena B.N., Department of Mathematics, M. S. Ramaiah Institute of Technology, M S Ramaiah Nagar, Bengaluru, 560054, India</text>
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