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Convective Heat Transfer in a Vertical Rectangular Duct Filled with a Nanofluid
Authors:JC Umavathi  I‐Chung Liu  MA Sheremet
Affiliation:1. Department of Mathematics, Gulbarga University, Gulbarga, Karnataka, India;2. Department of Civil Engineering, National Chi Nan University, Puli, Nantou, Taiwan;3. Department of Theoretical Mechanics, Tomsk State University, Tomsk, Russia;4. Institute of Power Engineering, Tomsk Polytechnic University, Tomsk, Russia
Abstract:An analysis is performed to study natural convective heat transfer in a vertical rectangular duct filled with a nanofluid. One of the vertical walls of the duct is cooled by a constant temperature, while the other wall is heated by a constant temperature. The other two sides of the duct are thermally insulated. The transport equations for a Newtonian fluid are solved numerically with a finite volume method of second‐order accuracy. The influence of pertinent parameters such as Grashof number, Brinkman number, aspect ratio and solid volume fraction on the heat transfer characteristics of natural convection is studied. Results for the volumetric flow rate and skin friction for Copper and Diamond nanoparticles are also drawn. The Nusselt number for various types of nanoparticle such as silver, copper, diamond and titanium oxide are also tabulated. The results indicate that inclusion of nanoparticles into pure water improves its heat transfer performance; however, there is an optimum solid volume fraction which maximizes the heat transfer rate.
Keywords:nanofluid  rectangular duct  viscous dissipation  finite volume method
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