Brownian motion of nanoparticles in a triangular enclosure with natural convection

This paper presents the results of a numerical study on the natural convection in a right triangular enclosure, with a heat source on its vertical wall and filled with a water-CuO nanofluid. The effects of parameters such as Rayleigh number, solid volume fraction, heat source location, enclosure aspect ratio and Brownian motion on the flow and temperature fields as well as the heat transfer rate, are examined. The results show that when Brownian motion is considered in the analysis, the solid volume fraction, the heat source location and the enclosure aspect ratio affect the heat transfer performance differently at low and high Rayleigh numbers. At high Rayleigh numbers, an optimum value for the solid volume fraction is found which results in the maximum heat transfer rate. This is in contradiction to the results of the analysis in which Brownian motion is neglected. © 2010 Elsevier Masson SAS. All rights reserved.

[1]  S. Tzeng,et al.  Numerical Simulation-Aided Parametric Analysis of Natural Convection in a Roof of Triangular Enclosures , 2005 .

[2]  H. Oztop,et al.  Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids , 2008 .

[3]  Stephen U. S. Choi,et al.  Role of Brownian motion in the enhanced thermal conductivity of nanofluids , 2004 .

[4]  Eiyad Abu-Nada,et al.  Effects of variable viscosity and thermal conductivity of Al2O3-water nanofluid on heat transfer enhancement in natural convection , 2009 .

[5]  H. P. Garg,et al.  Transient analysis of a triangular built-in-storage solar water heater under winter conditions , 1994 .

[6]  Sarit K. Das,et al.  Model for heat conduction in nanofluids. , 2004, Physical review letters.

[7]  Y. Xuan,et al.  Aggregation structure and thermal conductivity of nanofluids , 2003 .

[8]  V. A. Akinsete,et al.  Heat transfer by steady laminar free convection in triangular enclosures , 1982 .

[9]  M. Sen,et al.  ANALYSIS OF LAMINAR NATURAL CONVECTION IN A TRIANGULAR ENCLOSURE , 1988 .

[10]  J. Orfi,et al.  Natural convection effects in solar stills , 2005 .

[11]  S. Patankar Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[12]  L. Namli,et al.  Laminar natural convection in a pitched roof of triangular cross-section: summer day boundary conditions , 2000 .

[13]  C. T. Nguyen,et al.  Heat transfer enhancement with the use of nanofluids in radial flow cooling systems considering temperature-dependent properties , 2006 .

[14]  J. Koo,et al.  A new thermal conductivity model for nanofluids , 2004 .

[15]  Amin Behzadmehr,et al.  Numerical study of laminar mixed convection of a nanofluid in horizontal curved tubes , 2007 .

[16]  Antonio Campo,et al.  Effects of Attaching Baffles onto the Inclined Walls of Attic Frames for Purposes of Energy Conservation , 2007 .

[17]  J. Maxwell A Treatise on Electricity and Magnetism , 1873, Nature.

[18]  A. Ecevit,et al.  Triangular built-in-storage solar water heater , 1989 .

[19]  H. Brinkman The Viscosity of Concentrated Suspensions and Solutions , 1952 .

[20]  Ahmet Koca,et al.  Natural convection heat transfer in Gambrel roofs , 2007 .

[21]  E. Asmaz,et al.  Laminar natural convection in right triangular enclosures , 2007 .

[22]  Y. Xuan,et al.  Investigation on Convective Heat Transfer and Flow Features of Nanofluids , 2003 .

[23]  W. Roetzel,et al.  Natural convection of nano-fluids , 2003 .

[24]  Yulong Ding,et al.  Formulation of nanofluids for natural convective heat transfer applications , 2005 .

[25]  B. Ku,et al.  Stability and thermal conductivity characteristics of nanofluids , 2007 .

[26]  Stephen U. S. Choi Enhancing thermal conductivity of fluids with nano-particles , 1995 .

[27]  R. D. Flack,et al.  The Measurement of Natural Convective Heat Transfer in Triangular Enclosures , 1979 .

[28]  Ching-Jenq Ho,et al.  Numerical simulation of natural convection of nanofluid in a square enclosure: Effects due to uncertainties of viscosity and thermal conductivity , 2008 .

[29]  K. Leong,et al.  A combined model for the effective thermal conductivity of nanofluids , 2009 .

[30]  Clement Kleinstreuer,et al.  Laminar nanofluid flow in microheat-sinks , 2005 .

[31]  Ahmet Koca,et al.  Entropy production due to free convection in partially heated isosceles triangular enclosures , 2008 .

[32]  O. G. Martynenko,et al.  Transient natural convection in triangular enclosures , 1988 .

[33]  Saiied M. Aminossadati,et al.  Natural Convection Heat Transfer in an Inclined Enclosure Filled with a Water-Cuo Nanofluid , 2009 .

[34]  O. K. Crosser,et al.  Thermal Conductivity of Heterogeneous Two-Component Systems , 1962 .

[35]  A. Campo,et al.  Heightened Thermal Convection as a Result of Splitting a Square Cavity Diagonally in Half , 2006 .

[36]  Dimos Poulikakos,et al.  The fluid dynamics of an attic space , 1983, Journal of Fluid Mechanics.

[37]  Klaus Brun,et al.  Measurement and prediction of natural convection velocities in triangular enclosures , 1995 .

[38]  R. Prasher,et al.  Thermal conductivity of nanoscale colloidal solutions (nanofluids). , 2005, Physical review letters.

[39]  Jane Y. Chang,et al.  Natural Convection Patterns in Right-Angled Triangular Cavities with Heated Vertical Sides and Cooled Hypotenuses , 2005 .

[40]  Khalid A. Joudi,et al.  Computational model for a prism shaped storage solar collector with a right triangular cross section , 2004 .