Finite Point Low Mach Number Algorithm for Unsteady Nonisothermal Flows Application to the Study of Reactive Flow Past a Thin Catalytic Wire

REFERENCES

• A. Fernández Pello , Micropower Generation using Combustion: Issues and Approaches , Proc. Comb. Inst. , vol. 29 , pp. 883 – 899 , 2002 .
   Google Scholar
• I. A. Waitz , G. Gauba , and Y. S. Tzeng , Combustors for Microgas Turbine Engines , ASME J. Fluids Eng. , vol. 120 , pp. 109 – 117 , 1998 .
   Web of Science ®Google Scholar
• J. Lizardi , C. Trevino , and A. Linan , Ignition and Combustion of Diluted Hydrogen Mixtures in a Flow Past an Array of Catalytic Wires , Combust. Theory Model. , vol. 11 , pp. 483 – 499 , 2007 .
   Web of Science ®Google Scholar
• W. W. Deng , J. F. Klemic , X. H. Li , M. A. Reed , and A. Gomez , Liquid Fuel Microcombustor using Microfabricated Multiplexed Electrospray Sources , Proc. Comb. Inst. , vol. 31 , pp. 2239 – 2246 , 2007 .
   Web of Science ®Google Scholar
• A. Gomez , J. J. Berry , S. Roychoudhury , B. Coriton , and J. Huth , From Jet Fuel to Electric Power using a Mesoscale, Efficient Stirling Cycle , Proc. Comb. Inst. , vol. 31 , pp. 3251 – 3259 , 2007 .
   Web of Science ®Google Scholar
• T. Schneider , N. Batta , K. J. Geratz , and R. Klein , Extension of Finite Volume Compressible Flow Solvers to Multi-Dimensional, Variable Density, Zero Mach Number Flows , J. Comput. Phys. , vol. 153 , pp. 248 – 286 , 1999 .
   Google Scholar
• J. Bell and D. Marcus , A Second Order Projection Method for Variable Density Flows , J. Comput. Phys. , vol. 101 , pp. 334 – 348 , 1992 .
   Web of Science ®Google Scholar
• K. C. Karki and S. V. Patankar , Pressure' Based Calculation Procedure for Viscous Flows at All Speeds in Arbitrary Configurations , AIAA J. , vol. 27 , pp. 1167 – 1174 , 1989 .
   Google Scholar
• O. C. Zienkiemirz , J. Szmelter , and J. Pereira , Compressible and Incompressible Flow: An Algorithm for All Seasons , Comp. Methods. Appl. Mech. Eng. , vol 78 , pp. 105 – 121 , 1990 .
   Google Scholar
• H. Bijl and P. Wesseling , A Unified Method for Computing Incompressible and Compressible Flows in Boundary Fitted Coordinates , J. Comput. Phys. , vol. 141 , pp. 153 – 173 , 1998 .
   Web of Science ®Google Scholar
• C. D. Munz , S. Roller , R. Klein , and K. J. Geratz , The Extension of Incompressible Flow Solvers to the Weakly Compressible Regime , Comput. & Fluids , vol. 32 , pp. 173 – 196 , 2003 .
   Google Scholar
• J. L. Seterhenn , B. Müller , and H. Thumann , On the Cancellation Problem in Calculating Compressible Low Mach Number Flows , J. Comput. Phy. , vol. 151 , pp. 597 – 615 , 1999 .
   Google Scholar
• A. Sangani and A. Acrivos , Slow Flow Past Periodic Arrays of Cylinders with Application to Heat Transfer , Int. J. Multiphase Flow , vol. 8 , pp. 193 – 206 , 1982 .
   Web of Science ®Google Scholar
• W. Wang and A. Sangani , Nusselt Number for Flow Perpendicular to Arrays of Cylinders of Small Reynolds and Large Peclet numbers, Phys. Fluids , vol. 9, pp. 1529–1539, 1997.
   Web of Science ®Google Scholar
• M. Vera and A. Liñan , Low Peclet Number Flow of a Reacting Mixture Past an Array of Catalytic Wires , Combust. Theory Model. , vol. 8 , pp. 97 – 121 , 2004 .
   Web of Science ®Google Scholar
• E. Burman , A. Ern , and V. Giovangigli , An Adaptive Finite Element Method with Crosswind Diffusion for Low Mach, Steady, Laminar Combustion , J. Comput. Phys. , vol. 188 , pp. 472 – 492 , 2003 .
   Google Scholar
• I. Teleaga , M. Seaid , I. Gasser , A. Klar , and J. Struckmeier , Radiation Models for Thermal Flows at Low Mach Numbers , J. Comput. Phys. , vol. 215 , pp. 506 – 525 , 2005 .
   Google Scholar
• I. Teleaga and M. Seaid , Simplified Radiative Models for Low Mach Number Reactive Flows , Appl. Math. Model. , vol. 32 , pp. 971 – 991 , 2008 .
   Web of Science ®Google Scholar
• E. Schall , C. Viozat , B. Koobus , and A. Dervieux , Computation of Low Mach Thermical Flows with Implicit Upwind Methods , Int. J. Heat Mass Transfer , vol. 46 , pp. 3909 – 3926 , 2003 .
   Web of Science ®Google Scholar
• K. Sakakura and S. Yamamoto , Numerical and Experimental Predictions of Heterogeneous Condensate Flow of Moist Air in Cooled Pipe , Int. J. Heat Fluid Flow , vol. 27 , pp. 220 – 228 , 2006 .
   Google Scholar
• Y. E. Egorov and A. I. Zhmakin , Numerical Simulation of Low Mavh Number Gas Mixture Flows with Heat and Mass Transfer using Unstructured Grid , Comp. Mat. Sci. , vol. 11 , pp. 204 – 220 , 1998 .
   Google Scholar
• B. A. Haberman and J. B. Young , Numerical Investigation of the Air Flow Through a Bundle of IP-SOFC Modules , Int. J. Heat Mass Transfer , vol. 48 , pp. 5475 – 5487 , 2005 .
   Google Scholar
• W. Liu and G. Makhviladze , An Implicit Finite Element Solution of Thermal Flows at Low Mach Number , J. Comp. Phys. , vol. 227 , pp. 2743 – 2757 , 2008 .
   Google Scholar
• M. Bouafia and O. Daube , Natural Convection for Large Temperature Gradients Around a Square Solid Within a Rectangular Cavity , Int. J. Heat Mass Transfer , vol. 50 , pp. 3599 – 3615 , 2007 .
   Web of Science ®Google Scholar
• H. Jin , L. Ru , H. Yaling , and Q. Zhiguo , Solutions for Variable Density Low Mach Number Flows with a Compressible Pressure-Based Algorithm , Appl. Therm. Eng. , vol. 27 , pp. 2104 – 2112 , 2007 .
   Google Scholar
• O. Filipova and D. Haenel , A Novel Numerical Scheme for Reactive Flows at Low Mach Numbers , Comp. Phys. Comm. , vol. 129 , pp. 267 – 274 , 2000 .
   Google Scholar
• S. Chen , Z. Liu , C. Zhang , Z. He , Z. Tian , B. Shi , and C. Zheng , A Novel Coupled Lattice Boltzmann Model for Low Mach Number Combustion Simulation , Appl. Math. Comp. , vol. 193 , pp. 266 – 284 , 2007 .
   Web of Science ®Google Scholar
• J. S. Wong , D. L. Darmuful , and J. Peraire , The Solution of Compressible Euler Equations at Low Mach Number using a Stabilized Finite Element Algorithm , Comput. Meth. Appl. Mech. Eng. , vol. 190 , pp. 5719 – 5737 , 2001 .
   Google Scholar
• I. Mary , P. Sagaut , and M. Deville , An Algorithm for Low Mach Number Unsteady Flows , Comp. & Fluids , vol. 29 , pp. 119 – 147 , 2000 .
   Web of Science ®Google Scholar
• F. M. White , Viscous Fluid Flow , McGraw-Hill, Inc. , New York , 1991 .
   Google Scholar
• B. Linares and A. Velazquez , Heat Transfer Effects on Unsteady, Compressible, Laminar Flow around Micro-Cylinders , Nanoscale and Microscale Thermophys. Eng. , vol. 10 , pp. 305 – 320 , 2006 .
   Web of Science ®Google Scholar
• B. Linares , A. Velazquez , and J. L. Montanes , Coupling Between Thermal Oscillations in the Surface of a Micro-Cylinder and Vortex Shedding , Nanoscale and Microscale Thermophys. Eng. , vol. 11 , pp. 227 – 246 , 2007 .
   Web of Science ®Google Scholar
• B. Mendez and A. Velazquez , Finite Point Solver for the Simulation of 2-D Laminar Incompressible Unsteady Flows , Comput. Meth. Appl. Mech. Eng. , vol. 193 , pp. 825 – 848 , 2004 .
   Google Scholar
• B. Mendez and A. Velazquez , Finite Point Based Numerical Study on the Unsteady Laminar Wake Behind Square Cylinders, Int. J. Num. Meth. Heat and Fluid Flow , vol. 17, pp. 108–132, 2007.
   Web of Science ®Google Scholar
• B. Mendez and A. Velazquez , Laminar Heat Transfer Enhancement Downstream of a Backward Facing Step by using a Pulsating Flow , Int. J. Heat Mass Transfer , vol. 51 , pp. 2075 – 2089 , 2008 .
   Google Scholar
• C. F. Lange , F. Durst , and M. Breuer , Momentum and Heat Transfer from Cylinders in Laminar Crossflow at 10−4 < Re < 200 , Int. J. Heat Mass Transfer , vol. 41 , pp. 3409 – 3430 , 1998 .
   Web of Science ®Google Scholar
• C. H. K. Williamson , Oblique and Parallel Modes of Vortex Shedding in the Wake of a Circular Cylinder at Low Reynolds Numbers , J. Fluid Mech. , vol. 206 , pp. 579 – 627 , 1989 .
   Web of Science ®Google Scholar
• D. C. Collis and M. J. Williams , Two-Dimensional Convection from Heated Wires at Low Reynolds Numbers , J. Fluid Mech. vol. 6 , pp. 357 – 384 , 1959 .
   Web of Science ®Google Scholar
• R. Hilpert , Warmeabgabe von geheizten Drahten und Rohren im Luftstrom , Forsch G Ing. , vol. 4 , pp. 215 – 224 , 1933 .
   Google Scholar
• C. H. K. Williamson , Vortex Dynamics in the Cylinder Wake , Ann. Rev. of Fluid Mech. , vol. 28 , pp. 477 – 539 , 1996 .
   Web of Science ®Google Scholar