Numerical Investigation of Mixed Convection Heat Transfer of Nanofluid in a Lid Driven Square Cavity with Three Triangular Heating Blocks

The present investigation addressed mixed convection heat transfer of nanofluid in a lid driven square cavity with three triangular heating blocks. Finite volume discretization method with SIMPLE algorithm is employed for solving the twodimensional Navier-Stokes and energy balance equations. The method used is validated against previous works. Two cases were considered depending on the position of three triangular heating blocks. Effects of pertinent parameters such as; position of triangular heating blocks, the Richardson number (0.1 ≤ ≤ 100), the Prandtl number of the pure water ( = 6.2) and the volume fraction of nanoparticles (0 ≤ ≤ 0.05) on the flow and Nusselt number are investigated. The results of this study illustrate that, by reducing Richardson number and increasing the volume fraction of nanoparticles, the average Nusselt number increases. It is also found that there is an optimal position of triangular heating blocks where the heat transfer rate is maximized.

[1]  Lattice-Boltzmann Modeling of Natural Convection Between a Square Outer Cylinder and an Inner Isosceles Triangular Heating Body , 2014 .

[2]  Z. Boulahia,et al.  Numerical Simulation of Natural Convection of Nanofluid in a Square Cavity Including a Square Heater , 2015 .

[3]  M. Kalteh,et al.  Numerical solution of nanofluid mixed convection heat transfer in a lid-driven square cavity with a triangular heat source , 2014 .

[4]  M. Corcione Empirical correlating equations for predicting the effective thermal conductivity and dynamic viscosity of nanofluids , 2011 .

[5]  Chieh-Li Chen,et al.  Lattice Boltzmann simulation for mixed convection of nanofluids in a square enclosure , 2015 .

[6]  Numerical Study of Mixed Convection of the Nanofluids in Two-Sided Lid-Driven Square Cavity with a Pair of Triangular Heating Cylinders , 2016 .

[7]  Katja Bachmeier,et al.  Numerical Heat Transfer And Fluid Flow , 2016 .

[8]  Y. Jaluria,et al.  An Introduction to Heat Transfer , 1950 .

[9]  D. Spalding A novel finite difference formulation for differential expressions involving both first and second derivatives , 1972 .

[10]  Abderrahim Wakif,et al.  Natural Convection Heat Transfer of the nanofluids in a Square Enclosure with an Inside Cold Obstacle , 2016 .

[11]  Ihsan Dagtekin,et al.  Comparison of position of a heated thin plate located in a cavity for natural convection , 2004 .

[12]  H. Oztop,et al.  A review on natural convective heat transfer of nanofluids , 2012 .

[13]  Bo Yu,et al.  Fluid flow due to combined convection in lid-driven enclosure having a circular body , 2009 .

[14]  M. Muthtamilselvan,et al.  Mixed convection of heat generating nanofluid in a lid-driven cavity with uniform and non-uniform heating of bottom wall , 2014 .

[15]  Jae Min Hyun,et al.  Mixed convection in a driven cavity with a stable vertical temperature gradient , 1993 .

[16]  M. Hasnaoui,et al.  Numerical simulation of natural convection between a decentered triangular heating cylinder and a square outer cylinder filled with a pure fluid or a nanofluid using the lattice Boltzmann method , 2015 .

[17]  R. Djebali,et al.  Accurate finite volume investigation of nanofluid mixed convection in two-sided lid driven cavity including discrete heat sources , 2015 .

[18]  M. Corcione Heat transfer features of buoyancy-driven nanofluids inside rectangular enclosures differentially heated at the sidewalls , 2010 .

[19]  Khalil Khanafer,et al.  Laminar mixed convection flow and heat transfer characteristics in a lid driven cavity with a circular cylinder , 2013 .

[20]  Mohsen Sheikholeslami,et al.  Lattice Boltzmann simulation of magnetohydrodynamic natural convection heat transfer of Al2O3–water nanofluid in a horizontal cylindrical enclosure with an inner triangular cylinder , 2015 .

[21]  Akand W. Islam,et al.  Mixed convection in a lid driven square cavity with an isothermally heated square blockage inside , 2012 .

[22]  B. Ghasemi,et al.  Cooling enhancement of two fins in a horizontal channel by nanofluid mixed convection , 2012 .

[23]  P. Lettieri,et al.  An introduction to heat transfer , 2007 .