Reliability-based design optimization of pin-fin heat sinks using a cell evolution method

Abstract This paper conveys the concept and idea of reliability-based design optimization (RBDO) to design a robust and reliable pin-fin heat sink for operating in an uncertain environment. In doing so, we formulate an RBDO heat sink design problem and incorporate a recently developed cell evolution method (CEM) to solve the formulated RBDO problem that aims to minimize entropy generation rate under the simultaneous variations caused by ambient temperature and the velocity of the air approaching the heat sink. From finite element analysis of the RBDO designed heat sinks, we found that the increment of the target reliability tends to create a more symmetric and uniform temperature distribution around the center of the heat sink and thereby presents a greater ability to resist the environmental variations. Besides, extensive simulation results reveal that the RBDO designed heat sink is superior to conventional deterministic ones in providing a much more robust and reliable heat dissipation performance when faced with environmental uncertainties. Furthermore, we report the visible findings about how the reliable solution varies depending upon the reliability indices for pin-fin heat sinks with inline and staggered arrangements.

[1]  A. Bar-Cohen,et al.  Optimal numerical design of forced convection heat sinks , 2004, IEEE Transactions on Components and Packaging Technologies.

[2]  Madhusudan K. Iyengar,et al.  Least-energy optimization of air-cooled heat sinks for sustainability-theory, geometry and material selection , 2006 .

[3]  Achintya Haldar,et al.  Probability, Reliability and Statistical Methods in Engineering Design (Haldar, Mahadevan) , 1999 .

[4]  Chyi-Tsong Chen,et al.  Dynamic simulation, optimal design and control of pin-fin heat sink processes , 2012 .

[5]  Avram Bar-Cohen,et al.  Optimum Cylindrical Pin Fin , 1981 .

[6]  G. Gary Wang,et al.  Reliable design space and complete single-loop reliability-based design optimization , 2008, Reliab. Eng. Syst. Saf..

[7]  Adrian Bejan,et al.  Optimal Arrays of Pin Fins and Plate Fins in Laminar Forced Convection , 1993 .

[8]  W. Nakayama,et al.  Optimization of Finned Heat Sinks for Impingement Cooling of Electronic Packages , 1998 .

[9]  M. Yovanovich,et al.  Optimization of pin-fin heat sinks using entropy generation minimization , 2004, The Ninth Intersociety Conference on Thermal and Thermomechanical Phenomena In Electronic Systems (IEEE Cat. No.04CH37543).

[10]  Xiaoping Du,et al.  A MOST PROBABLE POINT BASED METHOD FOR UNCERTAINTY ANALYSIS , 2000 .

[11]  W. Khan,et al.  Optimization of Cylindrical Pin-Fin Heat Sinks Using Genetic Algorithms , 2009, IEEE Transactions on Components and Packaging Technologies.

[12]  Suresh V. Garimella,et al.  Optimization Under Uncertainty Applied to Heat Sink Design , 2013 .

[13]  K. Azar,et al.  Effect of Pin Fin Density of the Thermal Performance of Unshrouded Pin Fin Heat Sinks , 1994 .

[14]  A. Bejan,et al.  The optimal spacing of cylinders in free-stream cross-flow forced convection , 1996 .

[15]  Cheng Heming,et al.  Multi‐objective optimization design of a micro‐channel heat sink using adaptive genetic algorithm , 2011 .

[16]  W. Khan,et al.  Modeling of Fluid Flow and Heat Transfer for Optimization of Pin-Fin Heat Sinks , 2004 .

[17]  Waqar A. Khan,et al.  Optimization of Pin-Fin Heat Sinks in Bypass Flow Using Entropy Generation Minimization Method , 2008 .

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

[19]  S. Probert,et al.  Heat transfers from pin-fin arrays experiencing forced convection , 2000 .

[20]  Zissimos P. Mourelatos,et al.  A single-loop method for reliability-based design optimisation , 2008 .

[21]  Kyung K. Choi,et al.  A NEW STUDY ON RELIABILITY-BASED DESIGN OPTIMIZATION , 1999 .

[22]  Chyi-Tsong Chen,et al.  Multi-objective optimization design of plate-fin heat sinks using a direction-based genetic algorithm , 2013 .

[23]  Chyi Hwang,et al.  Optimal Design and Control of CPU Heat Sink Processes , 2008, IEEE Transactions on Components and Packaging Technologies.

[24]  M. Hamdan,et al.  Enhanced Heat Transfer, Missing Pin, and Optimization for Cylindrical Pin Fin Arrays , 1993 .

[25]  A. Bar-Cohen,et al.  Least-material optimization of vertical pin-fin, plate-fin, and triangular-fin heat sinks in natural convective heat transfer , 1998, ITherm'98. Sixth Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems (Cat. No.98CH36208).

[26]  Kalyanmoy Deb,et al.  Reliability-Based Optimization Using Evolutionary Algorithms , 2009, IEEE Transactions on Evolutionary Computation.

[27]  Afzal Suleman,et al.  A Robust and Reliability Based Design Optimization Framework for Wing Design , 2014 .

[28]  Thomas A. Cruse,et al.  Reliability-Based Mechanical Design , 1997 .

[29]  Y. Peles,et al.  Multi-objective thermal design optimization and comparative analysis of electronics cooling technologies , 2009 .

[30]  Chyi-Tsong Chen,et al.  A cell evolution method for reliability-based design optimization , 2014, Appl. Soft Comput..

[31]  Suresh V. Garimella,et al.  Manifold microchannel heat sink design using optimization under uncertainty , 2014 .

[32]  M. Yovanovich,et al.  Optimization of pin-fin heat sinks using entropy generation minimization , 2001, IEEE Transactions on Components and Packaging Technologies.

[33]  Sanjay Chaturvedi,et al.  Reliability-based design optimization scheme for designing electromagnetic shielding structures , 2014 .

[34]  Sujin Bureerat,et al.  Multiobjective Optimization of a Pin-Fin Heat Sink Using Evolutionary Algorithms , 2012 .

[35]  Ramana V. Grandhi,et al.  Reliability based structural optimization - A simplified safety index approach , 1994 .

[36]  Avram Bar-Cohen,et al.  Optimum Arrays of Longitudinal, Rectangular Fins in Corrective Heat Transfer , 1985 .

[37]  C.J. Shih,et al.  Optimal design methodology of plate-fin heat sinks for electronic cooling using entropy generation strategy , 2004, IEEE Transactions on Components and Packaging Technologies.

[38]  Madhusudan Iyengar,et al.  Least-energy optimization of forced convection plate-fin heat sinks , 2003 .