Combined convection flow in triangular wavy chamber filled with water–CuO nanofluid: Effect of viscosity models

• Published in: International communications in heat and mass transfer Vol. 39; no. 8; pp. 1226 - 1236
• Main Authors: Nasrin, Rehena, Alim, M.A., Chamkha, Ali J.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.10.2012; Elsevier
• Subjects: Applied sciences; Chemistry; Colloidal state and disperse state; Combined convection; COMPOSITES; Condensed matter: structure, mechanical and thermal properties; CONVECTION; COPPER OXIDE; Double lid-driven cavity; Energy; Energy. Thermal use of fuels; Exact sciences and technology; Fluid dynamics; FLUID FLOW; Fundamental areas of phenomenology (including applications); General and physical chemistry; HEAT TRANSFER; Heat transfer enhancement; Laminar flows; Laminar flows in cavities; MATHEMATICAL ANALYSIS; Mathematical models; MICROSTRUCTURES; Nanocomposites; Nanofluids; Nanomaterials; Nanostructure; Navier-Stokes equations; Physical and chemical studies. Granulometry. Electrokinetic phenomena; Physics; Theoretical studies. Data and constants. Metering; Thermal properties of condensed matter; Thermal properties of small particles, nanocrystals, nanotubes; Triangular wave; VISCOSITY; Walls; WATER; Combined convection; Heat transfer enhancement; Triangular wave; Double lid-driven cavity; Nanofluids; Water; Nanoparticle; Nanofluid; Cavity flow; Modeling; Moving wall; Finite element method; Saw-tooth oscillation; Laminar flow; Numerical simulation; Wavy wall; Copper oxide; Heat transfer
• DOI: 10.1016/j.icheatmasstransfer.2012.06.005
• ISSN: 0735-1933

This work is focused on the numerical modeling of steady laminar combined convection flow in a vertical triangular wavy enclosure filled with water–CuO nanofluid. The left and right vertical walls of the cavity take the form of a triangular wavy pattern. The bottom and top horizontal walls are mechanically driven. The lower and upper surfaces move to the right and left direction at the same constant speed respectively. They maintain constant temperature lower than both vertical walls. Two different nanofluid models namely, the Brinkman model and the Pak and Cho correlation are employed. The developed equations are given in terms of the Navier Stokes and the energy equation and are non-dimensionalized and then solved numerically subject to appropriate boundary conditions by the Galerkin's finite-element method. Comparisons with published work are performed and found to be in good agreement. A parametric study is conducted and a selective set of graphical results is presented. The effects of the Reynolds number, Richardson number and the nanoparticles volume fraction on the flow and heat transfer characteristics in the cavity are displayed to compare the predictions obtained by the two different nanofluid models. Heat transfer enhancement can be obtained significantly due to the presence of nanoparticles. The rate of heat transfer is accentuated moderately by falling the Richardson number and rising the Reynolds number as well as the solid volume fraction.