Estimation of thermal and flow fields due to natural convection using support vector machines (SVM) in a porous cavity with discrete heat sources

Support vector machines (SVM), a soft programming technique, has been used to estimate the temperature distribution and flow fields in a square porous enclosure heated discretely by three isothermal heaters from the left vertical wall. Right vertical wall of the cavity was isothermal but it has colder temperature than the heaters while remaining walls were adiabatic. A database was prepared by solving the governing equations which were written using Darcy flow model. Using finite difference method to discretize the equation, a computational fluid dynamics (CFD) code was written. A correlation was developed between Nusselt and Rayleigh numbers. Using obtained database, further values of temperature and velocities were estimated by SVM technique at different Rayleigh numbers and locations of heater. It was observed that SVM was a useful technique on estimation of streamlines and isotherms. Thus, SVM reduces the computational time and helps to solve some cases when CFD fails to solve due to numerical instability.

[1]  Lihua Xie,et al.  HVAC system optimization—in-building section , 2005 .

[2]  J. Hyun,et al.  BUOYANT CONVECTION IN A SQUARE CAVITY PARTIALLY FILLED WITH A HEAT-GENERATING POROUS MEDIUM , 2001 .

[3]  Christopher M. Bishop,et al.  Neural networks for pattern recognition , 1995 .

[4]  T. W. Horst,et al.  Mechanically aspirated radiation shields: A CFD and neural network design analysis , 2005 .

[5]  Ioan Pop,et al.  Free convection in a square porous cavity using a thermal nonequilibrium model , 2002 .

[6]  Ruxu Du,et al.  Model-based Fault Detection and Diagnosis of HVAC systems using Support Vector Machine method , 2007 .

[7]  F. Kulacki,et al.  Natural Convection in Horizontal Porous Layers With Localized Heating From Below , 1987 .

[8]  NATURAL CONVECTION IN POROUS ENCLOSURES: THE APPLICATION OF THE TWO-ENERGY EQUATION MODEL , 2002 .

[9]  Y. Varol,et al.  Natural convection in a triangle enclosure with flush mounted heater on the wall , 2006 .

[10]  C. P. Tso,et al.  Effects of rotation on natural convection cooling from three rows of heat sources in a rectangular cavity , 2005 .

[11]  Deborah A. Kaminski,et al.  Control of convergence in a computational fluid dynamics simulation using ANFIS , 2005, IEEE Transactions on Fuzzy Systems.

[12]  K. N. Seetharamu,et al.  Natural convective heat transfer in a fluid saturated variable porosity medium , 1997 .

[13]  Hong Wang,et al.  Étude numérique du couplage de la convection naturelle avec le rayonnement de surfaces en cavité carrée remplie d'air , 2006 .

[14]  S. Gunn.  Support Vector Machines for Classification and Regression , 1998 .

[15]  T. Yilmaz,et al.  Natural convection in triangular enclosures with protruding isothermal heater , 2007 .

[16]  Ruxu Du,et al.  Fault diagnosis using support vector machine with an application in sheet metal stamping operations , 2004 .

[17]  V. Eswaran,et al.  NUMERICAL STUDY OF HEAT AND MASS TRANSFER IN AN ANISOTROPIC POROUS ENCLOSURE DUE TO CONSTANT HEATING AND COOLING , 1998 .

[18]  Ioan Pop,et al.  Natural Convection from a Discrete Heater in a Square Cavity Filled with a Porous Medium , 2005 .

[19]  Y. Joshi,et al.  Three-Dimensional Study of Combined Conduction, Radiation, and Natural Convection From Discrete Heat Sources in a Horizontal Narrow-Aspect-Ratio Enclosure , 1999 .

[20]  Soteris A. Kalogirou,et al.  Applications of artificial neural networks in energy systems , 1999 .

[21]  Qiuwang Wang,et al.  Heat transfer analysis for shell-and-tube heat exchangers with experimental data by artificial neural networks approach , 2007 .

[22]  H. Takhar,et al.  Effects of Nonuniformly Heated Wall(S) on a Natural-Convection Flow in a Square Cavity Filled With a Porous Medium , 2007 .

[23]  Abdullatif Ben-Nakhi,et al.  Neural networks analysis of free laminar convection heat transfer in a partitioned enclosure , 2007 .

[24]  I. Pop,et al.  Numerical analysis of natural convection for a porous rectangular enclosure with sinusoidally varying temperature profile on the bottom wall , 2008 .

[25]  Mustafa Inalli,et al.  Modeling a ground-coupled heat pump system by a support vector machine , 2008 .

[26]  Y. Varol,et al.  Prediction of flow fields and temperature distributions due to natural convection in a triangular enclosure using Adaptive-Network-Based Fuzzy Inference System (ANFIS) and Artificial Neural Network (ANN) , 2007 .

[27]  Nawaf H. Saeid,et al.  Natural convection in porous cavity with sinusoidal bottom wall temperature variation , 2005 .

[28]  Hakan F. Oztop,et al.  Natural convection in partially cooled and inclined porous rectangular enclosures , 2007 .

[29]  Vladimir N. Vapnik,et al.  The Nature of Statistical Learning Theory , 2000, Statistics for Engineering and Information Science.

[30]  A. Baytaş.  Entropy generation for natural convection in an inclined porous cavity , 2000 .

[31]  Engin Avci,et al.  A novel approach for digital radio signal classification: Wavelet packet energy-multiclass support vector machine (WPE-MSVM) , 2008, Expert Syst. Appl..

[32]  Adrian Bejan,et al.  Optimal distribution of discrete heat sources on a wall with natural convection , 2004 .

[33]  Yogendra Joshi,et al.  Heat transfer in discretely heated side-vented compact enclosures by combined conduction, natural convection, and radiation , 1999 .

[34]  George M. Homsy,et al.  Convection in a porous cavity , 1978, Journal of Fluid Mechanics.

[35]  A. Bejan,et al.  Convection in Porous Media , 1992 .