DRBEM Solution of the Natural Convective Flow of Micropolar Fluids

REFERENCES

• A. C. Eringen , Theory of Micropolar Fluids , J. Math. Mech. , vol. 16 , no. 1 , pp. 1 – 18 , 1966 .
   Google Scholar
• G. De Vahl Davis and P. Jones , Natural Convection in a Square Cavity: A Comparison Exercise , Int. J. Numer. Methods Fluids , vol. 3 , pp. 227 – 248 , 1983 .
   Web of Science ®Google Scholar
• G. De Vahl Davis , Natural Convection of Air in a Square Cavity: A Benchmark Numerical Solution , Int. J. Numer. Methods Fluids , vol. 3 , pp. 249 – 264 , 1983 .
   Web of Science ®Google Scholar
• C. Shu and H. Xue , Comparison of Two Approaches for Implementing Stream Function Boundary Conditions in DQ Simulation of Natural Convection in a Square Cavity , Int. J. Heat Fluid Flow , vol. 19 , pp. 59 – 68 , 1998 .
   Web of Science ®Google Scholar
• C. Shu and K. H. A. Wee , Numerical Simulation of Natural Convection in a Square Cavity by SIMPLE-Generalized Differential Quadrature Method, Computers & Fluids , vol. 31, pp. 209–226, 2002.
   Web of Science ®Google Scholar
• S. Roy and T. Basak , Finite Element Analysis of Natural Convection Flows in a Square Cavity with Non-Uniformly Heated Wall(s) , Int. J. Eng. Sci. , vol. 43 , pp. 668 – 680 , 2005 .
   Web of Science ®Google Scholar
• D. C. Lo , D. L. Young , and C. C. Tsai , High Resolution of 2-D Natural Convection in a Cavity by the DQ Method , JCAM , vol. 203 , pp. 219 – 236 , 2007 .
   Web of Science ®Google Scholar
• T. H. Hsu and C. K. Chen , Natural Convection of Micropolar Fluids in a Rectangular Enclosure , Int. J. Eng. Sci. , vol. 34 , no. 4 , pp. 407 – 415 , 1996 .
   Web of Science ®Google Scholar
• T. H. Hsu , P. T. Hsu , and S. Y. Tsai , Natural Convection Flow of Micropolar Fluids in an Enclosure with Heat Sources , Int. J. Heat Mass Transfer , vol. 40 , no. 17 , pp. 4239 – 4249 , 1997 .
   Web of Science ®Google Scholar
• O. Aydın and I. Pop , Natural Convection in a Differentially Heated Enclosure Filled with a Micropolar Fluid , Int. J. Thermal Sci. , vol. 46 , pp. 963 – 969 , 2007 .
   Web of Science ®Google Scholar
• O. Aydın and I. Pop , Natural Convection from a Discrete Heater in Enclosures Filled with a Micropolar Fluid , Int. J. Eng. Sci. , vol. 43 , pp. 1409 – 1418 , 2005 .
   Web of Science ®Google Scholar
• T. H. Hsu and K. Y. Hong , Natural Convection of Micropolar Fluids in an Open Cavity , Numer. Heat Transfer A , vol. 50 , pp. 281 – 300 , 2006 .
   Web of Science ®Google Scholar
• S. K. Jena and S. P. Bhattacharyya , The Effect of Microstructure on the Thermal Convection in a Rectangular Box Heated from Below , Int. J. Eng. Sci. , vol. 24 , no. 1 , pp. 69 – 78 , 1986 .
   Web of Science ®Google Scholar
• M. Zadravec , M. Hribersek , and L. Skerget , Natural Convection of Micropolar Fluid in an Enclosure with Boundary Element Method , Eng. Anal. Bound. Elem. , vol. 33 , no. 1 , pp. 485 – 492 , 2009 .
   Google Scholar
• D. Nardini and C. A. A. Brebbia , New Approach to Free Vibration Analysis using Boundary Elements, Boundary Element Methods in Engineering , Computational Mechanics Pub. , Southampton and Springer-Verlag , Berlin and New York , 1982 .
   Google Scholar
• L. C. Wrobel , C. A. Brebbia , and D. Nardini , The Dual Reciprocity Boundary Element Method Formulation for Transient Heat Conduction, Finite Elements in Water Resources VI , Computational Mechanics Pub., Southampton and Springer-Verlag , Berlin and New York , 1986 .
   Google Scholar
• P. W. Partridge , C. A. Brebbia , and L. C. Wrobel , The Dual Reciprocity Boundary Element Method , Computational Mechanics Pub. , Southampton and Elsevier Sci. , London , 1992 .
   Google Scholar
• C. Bozkaya , Least Squares Differential Quadrature Time Integration Scheme in the DRBEM Solution of Convection-Diffusion Problems , Eng. Anal. Bound. Elem. , vol. 31 , pp. 83 – 93 , 2007 .
   Google Scholar
• C. Bozkaya and M. Tezer-Sezgin , Solution of Navier-Stokes Equations by the Coupling of DQM Time Integration Scheme with Dual Reciprocity Boundary Element Method , Int. J. Numer. Meth. Fluids , vol. 59 , pp. 215 – 234 , 2009 .
   Google Scholar
• W. Florez , H. Power , and F. Chejne , Multi-Domain DRM Boundary Element Method for Non-isothermal Non-Newtonian Stokes Flow with Viscous Dissipation , Int. J. Numer. Meth. for Heat Fluid Flow , vol. 13 , pp. 736 – 768 , 2003 .
   Google Scholar
• W. F. Florez and H. Power , Multi-Domain Mass Conservative Dual Reciprocity Method for the Solution of Non-Newtonian Stokes Equations , Appl. Math. Model. , vol. 26 , pp. 397 – 419 , 2002 .
   Google Scholar
• H. W. Liu and S. P. Zhu , The Dual Reciprocity Boundary Element Method for MagnetohydroDynamic Channel Flows , ANZIAM Journal , vol. 44 , pp. 305 – 322 , 2002 .
   Web of Science ®Google Scholar
• B. Sarler , D. Gobin , B. Goyeau , and J. Perko , Natural Convecton in Porous Media-Dual Reciprocity Boundary Element Method Solution of the Darcy Model , Int. J. Numer. Meth. for Heat Fluid Flow , vol. 33 , pp. 279 – 312 , 2000 .
   Google Scholar
• B. Sarler and G. Kuhn , Primitive Variable Dual Reciprocity Boundary Element Method Solution of Incompressible Navier Stokes Equations, Eng. Anal. Bound. Elem. , vol. 23, pp. 443–455, 1999.
   Web of Science ®Google Scholar
• B. Sarler , J. Perko , D. Gobin , B. Goyeau , and H. Power , Dual Reciprocity Boundary Element Method Solution of Natural Convection in Darcy-Brinkman Porous Media , Eng. Anal. Bound. Elem. , vol. 28 , pp. 23 – 41 , 2004 .
   Google Scholar
• C. P. Rahaim and A. J. Kassab , Pressure Correction DRBEM Solution for Heat Transfer and Fluid Flow in Incompressible Viscous fluids , Eng. Anal. Bound. Elem. , vol. 18 , pp. 265 – 272 , 1996 .
   Web of Science ®Google Scholar
• S. Gümgüm and M. Tezer-Sezgin , Natural Convection Flow of Micropolar Fluids in a Square Cavity by DRBEM, In Proceedings of the 9th International Conference on Boundary Element Techniques, Advances in Boundary Element Techniques IX, Seville, Spain, 9–11 July , pp. 363 – 370 , 2008 .
   Google Scholar
• C. A. Brebbia , The Boundary Element Method for Engineers , Pentech Press , London , 1978 .
   Google Scholar
• C. A. Brebbia , and J. Dominguez , Boundary Elements an Introductory Course , Computational Mechanics Pub. , Southampton , Boston , 1992 .
   Google Scholar