Natural convection and entropy generation in a vertically concentric annular space

Natural convection in a vertically concentric annular space is of fundamental interest and practical importance. However, available open literature on entropy generation analysis for it is still sparse. In the present work we investigate systematically the effects of Rayleigh number, curvature of annulus and Prandtl number on flow pattern, temperature distribution and entropy generation for natural convection inside a vertically concentric annuli with the aid of the lattice Boltzmann method. The analyzed range is wide, varying from steady laminar convection to unsteady transitional state. Furthermore, we analysze the non-linear branch of irreversible phenomena from a thermodynamics view point.

[1]  S. Mohebpour,et al.  Entropy generation for forced convection in a porous channel with isoflux or isothermal walls , 2008 .

[2]  U. N. Gaitonde,et al.  Mixed convection heat transfer in the entrance region of horizontal annuli , 2001 .

[3]  Zhu He,et al.  A novel coupled lattice Boltzmann model for low Mach number combustion simulation , 2007, Appl. Math. Comput..

[4]  J. Boon.  The Lattice Boltzmann Equation for Fluid Dynamics and Beyond , 2003 .

[5]  S. Mahmud,et al.  Mixed convection and entropy generation in a vertical annular space , 2002 .

[6]  Sheng Chen,et al.  A simple lattice Boltzmann scheme for combustion simulation , 2008, Comput. Math. Appl..

[7]  G. D. Davis,et al.  Natural Convection between Concentric Vertical Cylinders , 1969 .

[8]  S. Qiu,et al.  Investigations on post-dryout heat transfer in bilaterally heated annular channels , 2006 .

[9]  M. Altamush Siddiqui,et al.  Heat transfer studies during natural convection boiling in an internally heated annulus , 2003 .

[10]  Ching-Jenq Ho,et al.  Transition to oscillatory natural convection of cold water in a vertical annulus , 1998 .

[11]  G. D. Davis,et al.  Mixed convection in vertical, cylindrical annuli , 1987 .

[12]  A. Bejan,et al.  Entropy Generation Through Heat and Fluid Flow , 1983 .

[13]  Sauro Succi,et al.  Massively Parallel Lattice-Boltzmann Simulation of Turbulent Channel Flow , 1997 .

[14]  Z. Zainal,et al.  Effect of viscous dissipation and radiation on natural convection in a porous medium embedded within vertical annulus , 2007 .

[15]  Jing Li,et al.  Analysis of entropy generation in non-premixed hydrogen versus heated air counter-flow combustion , 2010 .

[16]  Sauro Succi,et al.  Exponential Tails in Two-Dimensional Rayleigh-Bénard Convection , 1993 .

[17]  Manfred Krafczyk,et al.  Simple lattice Boltzmann subgrid-scale model for convectional flows with high Rayleigh numbers within an enclosed circular annular cavity. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  M. Yari.  Second-law analysis of flow and heat transfer inside a microannulus ☆ , 2009 .

[19]  Yan Wei-Mon,et al.  Mixed convection heat and mass transfer in vertical annuli with asymmetric heating , 1991 .

[20]  Enzo Zanchini,et al.  Mixed convection with variable viscosity in a vertical annulus with uniform wall temperatures , 2008 .

[21]  Bekir Sami Yilbas,et al.  Entropy Analysis for Non-Newtonian Fluid Flow in Annular Pipe: Constant Viscosity Case , 2004, Entropy.

[22]  Manfred Krafczyk,et al.  Simulation of buoyancy-driven flows in a vertical cylinder using a simple lattice Boltzmann model. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[23]  Sheng Chen,et al.  Analysis of entropy generation in counter-flow premixed hydrogen–air combustion , 2010 .

[24]  Manfred Krafczyk,et al.  A new method for the numerical solution of vorticity–streamfunction formulations , 2008 .

[25]  Sheng Chen,et al.  A large-eddy-based lattice Boltzmann model for turbulent flow simulation , 2009, Appl. Math. Comput..

[26]  Mourad Magherbi,et al.  Entropy generation at the onset of natural convection , 2003 .

[27]  Zhiwei Tian,et al.  A NEW NUMERICAL APPROACH FOR FIRE SIMULATION , 2007 .

[28]  M. Krafczyk,et al.  Entropy generation in turbulent natural convection due to internal heat generation , 2009 .

[29]  Roydon Andrew Fraser,et al.  Analysis of entropy generation inside concentric cylindrical annuli with relative rotation , 2003 .

[30]  Manfred Krafczyk,et al.  Numerical investigation of double-diffusive (natural) convection in vertical annuluses with opposing temperature and concentration gradients , 2010 .

[31]  A. Haji-sheikh,et al.  Analysis of heat transfer and entropy generation for a thermally developing Brinkman-Brinkman forced convection problem in a rectangular duct with isoflux walls , 2007 .

[32]  Orhan Aydin,et al.  Laminar forced convection slip-flow in a micro-annulus between two concentric cylinders , 2008 .

[33]  A. Sarhan,et al.  Free Convection Effects on the Developing Laminar Flow in Vertical Concentric Annuli , 1980 .

[34]  Manfred Krafczyk,et al.  Numerical simulation of fluid flow and heat transfer inside a rotating disk-cylinder configuration by a lattice Boltzmann model. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[35]  Chuguang Zheng,et al.  Effects of hydrogen addition on entropy generation in ultra-lean counter-flow methane-air premixed combustion , 2010 .

[36]  Manfred Krafczyk,et al.  Lattice Boltzmann model for incompressible axisymmetric flows. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[37]  K. Hooman.  A superposition approach to study slip-flow forced convection in straight microchannels of uniform but arbitrary cross-section , 2008 .

[38]  Joon Sang Lee,et al.  Large eddy simulation of heated vertical annular pipe flow in fully developed turbulent mixed convection , 2004 .

[39]  G. Doolen,et al.  Comparison of the Lattice Boltzmann Method and the Artificial Compressibility Method for Navier-Stokes Equations , 2002 .

[40]  Cha'o-Kuang Chen,et al.  Drag reduction and heat transfer enhancement over a heated wall of a vertical annular microchannel , 2009 .

[41]  Kamel Hooman,et al.  Effects of viscous heating, fluid property variation, velocity slip, and temperature jump on convection through parallel plate and circular microchannels , 2010 .

[42]  Salah Chikh,et al.  Second Law Analysis in a Partly Porous Double Pipe Heat Exchanger , 2006 .

[43]  Zhiwei Tian,et al.  Simulation of thermal micro-flow using lattice Boltzmann method with Langmuir slip model , 2010 .

[44]  S. Chen,et al.  Comparison of spectral method and lattice Boltzmann simulations of two‐dimensional hydrodynamics , 1993, comp-gas/9303003.

[45]  I. Pop,et al.  Mixed convection with heating effects in a vertical porous annulus with a radially varying magnetic field , 2008 .

[46]  Shiyi Chen,et al.  LATTICE BOLTZMANN METHOD FOR FLUID FLOWS , 2001 .

[47]  R. Benzi,et al.  The lattice Boltzmann equation: theory and applications , 1992 .

[48]  Kamel Hooman,et al.  International Communications in Heat and Mass Transfer 35 ( 2008 ) 492 – 502 1 Entropy generation for natural convection by heated partitions in a cavity , 2008 .

[49]  K. Hooman,et al.  Scaling effects for flow in micro-channels: Variable property, viscous heating, velocity slip, and temperature jump , 2009 .

[50]  Kenneth J. Witt,et al.  numerical investigation of free convection between two vertical coaxial cylinders , 1970 .