Enhanced Forced Convection Heat Transfer using Small Scale Vorticity Concentrations Effected by Flow Driven, Aeroelastically Vibrating Reeds

Abstract : The 3-Yr experimental/modeling/numerical research program focused on the formation, shedding, and advection of small-scale vortical motions induced by autonomous, aeroelastic fluttering of a cantilevered thin-film reed at the centerplane of a rectangular air channel. The flow mechanisms and scaling of the interactions between the reeds and the channel flow were explored to develop the fundamental knowledge needed to overcome the limits of forced convection heat transport from air-side heat exchangers at low (laminar or transitional) Reynolds numbers. Nonlinear, inviscid vortex-sheet simulations were used to determine the flow stability to the reeds flapping motions. Simulations using coupled flow-structure-thermal models and immersed boundary solver provided insight into the reed-enhanced heat transfer. Measurements captured the nominally time-periodic interactions of the reed with the channel flow using high-resolution PIV. Concave/convex surface undulations of the reeds surface lead to formation and advection of vorticity concentrations and to alternate shedding of spanwise CW and CCW vortices that scale with the reed motion amplitude and channel width, and ultimately to motions of decreasing scales and enhanced dissipation that are reminiscent of a turbulent flow. Transitory vorticity shedding and a local increase in the turbulent kinetic energy as a result of the reeds impact on the channel's surfaces lead to strong enhancement in heat transfer (the channels thermal coefficient of performance is enhanced by 2.4-fold and 9-fold for base flow Re = 4,000 and 17,400, respectively, with corresponding decreases of 50 and 77 in the required channel flow rates). These improvements can be leveraged to enhance cooling rates or to reduce flows rates and/or the size of conventional heat sinks.

[1]  William J. Strong,et al.  A functional model of a simplified clarinet , 1979 .

[2]  Silas Alben,et al.  Wake-mediated synchronization and drafting in coupled flags , 2009, Journal of Fluid Mechanics.

[3]  S. D’Alessio Steady and unsteady forced convection past an inclined elliptic cylinder , 1997 .

[4]  R. Webb,et al.  Forced convection heat transfer in helically rib-roughened tubes , 1980 .

[5]  A. Glezer,et al.  Design and Thermal Characteristics of a Synthetic Jet Ejector Heat Sink , 2005 .

[6]  Masaaki Itoh,et al.  Influence of inclination angle, attack angle, and arrangement of rectangular vortex generators on heat transfer performance , 2003 .

[7]  W. Z. Black,et al.  Local Convective Heat Transfer From a Constant Heat Flux Flat Plate Cooled by Synthetic Air Jets , 2006 .

[8]  R. H. Hardin,et al.  A new approach to the construction of optimal designs , 1993 .

[9]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[10]  Silas Alben,et al.  The flapping-flag instability as a nonlinear eigenvalue problem , 2008 .

[11]  B. P. Leonard,et al.  Simple high-accuracy resolution program for convective modelling of discontinuities , 1988 .

[12]  Gazi I. Mahmood,et al.  Heat transfer in a channel with dimples and protrusions on opposite walls , 2001 .

[13]  R. Mittal,et al.  Benchmarking a Coupled Immersed-Boundary-Finite-Element Solver for Large-Scale Flow-Induced Deformation , 2012 .

[14]  Gianluca Iaccarino,et al.  IMMERSED BOUNDARY METHODS , 2005 .

[15]  Sangmo Kang,et al.  Numerical study on bacterial flagellar bundling and tumbling in a viscous fluid using an immersed boundary method , 2014 .

[16]  Hyung Jin Sung,et al.  Simulation of flexible filaments in a uniform flow by the immersed boundary method , 2007, J. Comput. Phys..

[17]  S. Turek,et al.  Proposal for Numerical Benchmarking of Fluid-Structure Interaction between an Elastic Object and Laminar Incompressible Flow , 2006 .

[18]  P. Moin,et al.  Effects of the Computational Time Step on Numerical Solutions of Turbulent Flow , 1994 .

[19]  Qiang Zhu,et al.  Leading edge strengthening and the propulsion performance of flexible ray fins , 2012, Journal of Fluid Mechanics.

[20]  C. Peskin The immersed boundary method , 2002, Acta Numerica.

[21]  S. Alben,et al.  Numerical study of vorticity-enhanced heat transfer , 2013 .

[22]  T. Kármán General aerodynamic theory. Perfect fluids , 1963 .

[23]  M. P. Païdoussis,et al.  Stability of Rectangular Plates With Free Side-Edges in Two-Dimensional Inviscid Channel Flow , 2000 .

[24]  T. Theodorsen General Theory of Aerodynamic Instability and the Mechanism of Flutter , 1934 .

[25]  Guoping Xu,et al.  Extension of air cooling for high power processors , 2004, The Ninth Intersociety Conference on Thermal and Thermomechanical Phenomena In Electronic Systems (IEEE Cat. No.04CH37543).

[26]  S. Y. Kim,et al.  Constructive and destructive interaction modes between two tandem flexible flags in viscous flow , 2010, Journal of Fluid Mechanics.

[27]  Michael Shelley,et al.  Simulating the dynamics and interactions of flexible fibers in Stokes flows , 2004 .

[28]  Rajat Mittal,et al.  A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries , 2008, J. Comput. Phys..

[29]  Silas Alben,et al.  Simulating the dynamics of flexible bodies and vortex sheets , 2009, J. Comput. Phys..

[30]  C. Eloy,et al.  Flutter of an elastic plate in a channel flow: confinement and finite-size effects , 2011 .

[31]  L. Sirovich,et al.  Modeling a no-slip flow boundary with an external force field , 1993 .

[32]  Jeff D. Eldredge,et al.  An inviscid model for vortex shedding from a deforming body , 2007 .

[33]  Jianren Fan,et al.  Combined multi-direct forcing and immersed boundary method for simulating flows with moving particles , 2008 .

[34]  Danesh K. Tafti,et al.  Investigation of dimpled fins for heat transfer enhancement in compact heat exchangers , 2008 .

[35]  J. Kolar,et al.  Theoretical Converter Power Density Limits for Forced Convection Cooling , 2005 .

[36]  Ari Glezer,et al.  Heat transfer enhancement in high-power heat sinks using active reed technology , 2010, 2010 16th International Workshop on Thermal Investigations of ICs and Systems (THERMINIC).

[37]  Jan A Snyman,et al.  Practical Mathematical Optimization: An Introduction to Basic Optimization Theory and Classical and New Gradient-Based Algorithms , 2005 .

[38]  Basile Audoly,et al.  Elasticity and Geometry , 2000 .

[39]  R. Glowinski,et al.  Fluidization of 1204 spheres: simulation and experiment , 2002, Journal of Fluid Mechanics.

[40]  Marvin A. Jones The separated flow of an inviscid fluid around a moving flat plate , 2003, Journal of Fluid Mechanics.

[41]  Ari Glezer,et al.  Direct excitation of small-scale motions in free shear flows , 1998 .

[42]  Earl H. Dowell,et al.  On the aeroelastic instability of two-dimensional panels in uniform incompressible flow , 1976 .

[43]  R. Mittal,et al.  Computational study of flow-induced vibration of a reed in a channel and effect on convective heat transfer , 2014 .

[44]  Robert Krasny,et al.  Vortex Sheet Computations: Roll-Up, Wakes, Separation , 1991 .

[45]  M. Uhlmann An immersed boundary method with direct forcing for the simulation of particulate flows , 2005, 1809.08170.

[46]  H. Glauert The elements of aerofoil and airscrew theory , 1926 .

[47]  Martin Fiebig,et al.  Flow structure and heat transfer in a channel with multiple longitudinal vortex generators , 1992 .

[48]  D. Crighton The Kutta Condition in Unsteady Flow , 1985 .

[49]  Mysore L. Ramalingam,et al.  Thermal management challenges for future military aircraft power systems , 2004 .

[50]  S. Alben Flag flutter in inviscid channel flow , 2014, 1406.6294.

[51]  S. K. Wang,et al.  NUMERICAL SIMULATIONS FOR THE PHENOMENA OF VORTEX-INDUCED VIBRATION AND HEAT TRANSFER OF A CIRCULAR CYLINDER , 2004 .

[52]  Orhan Büyükalaca,et al.  Heat transfer enhancement in a tube using circular cross sectional rings separated from wall , 2008 .

[53]  J. Thome,et al.  State of the Art of High Heat Flux Cooling Technologies , 2007 .

[54]  C. Eloy,et al.  Flutter of a rectangular plate , 2007 .

[55]  S. Alben,et al.  Flapping states of a flag in an inviscid fluid: bistability and the transition to chaos. , 2008, Physical review letters.

[56]  Wu-Shung Fu,et al.  NUMERICAL INVESTIGATION OF HEAT TRANSFER OF A HEATED CHANNEL WITH AN OSCILLATING CYLINDER , 2003 .

[57]  Robert Krasny,et al.  A numerical study of vortex ring formation at the edge of a circular tube , 1994, Journal of Fluid Mechanics.

[58]  A. Bar-Cohen,et al.  Design and optimization of air-cooled heat sinks for sustainable development , 2002 .

[59]  L. Greengardt POTENTIAL FLOW IN CHANNELS , 1990 .

[60]  Jenn-Jiang Hwang,et al.  Measurements of heat transfer and fluid flow in a rectangular duct with alternate attached–detached rib-arrays , 1999 .

[61]  Jung Hee Seo,et al.  A sharp-interface immersed boundary method with improved mass conservation and reduced spurious pressure oscillations , 2011, J. Comput. Phys..

[62]  H. Sung,et al.  Interaction modes of multiple flexible flags in a uniform flow , 2013, Journal of Fluid Mechanics.

[63]  Jun Zhang,et al.  Flapping and Bending Bodies Interacting with Fluid Flows , 2011 .

[64]  Bojan Vukasinovic,et al.  Dissipative small-scale actuation of a turbulent shear layer , 2010, Journal of Fluid Mechanics.

[65]  Pongjet Promvonge,et al.  Enhanced heat transfer in a triangular ribbed channel with longitudinal vortex generators , 2010 .

[66]  A. Abdel-azim Fundamentals of Heat and Mass Transfer , 2011 .