Optimum cross-section design of internally finned tubes cooled by a viscous fluid

In the present work a genetic algorithm is used to find the optimum profile of longitudinal convective heat dissipating fins located in a tube where a viscous fluid passes through in laminar flow. To this aim, velocity and temperature distributions in the finned tube are determined with the help of a finite element model, which takes the effect of viscous dissipation into account. A global heat transfer coefficient is consequently calculated. After having assigned a polynomial lateral profile to the fins of the tube, the geometry is then optimized in order to maximize the heat transferred per unit of tube length respecting constraints on the tube weight or the pressure drop along the duct.

[1]  Nestor V. Queipo,et al.  Genetic algorithms for thermosciences research: application to the optimized cooling of electronic components , 1994 .

[2]  Giampietro Fabbri,et al.  Heat transfer optimization in corrugated wall channels , 2000 .

[3]  Arun S. Mujumdar,et al.  The effects of viscous dissipation on heat transfer to power law fluids in arbitrary cross-sectional ducts , 1992 .

[4]  Giampietro Fabbri,et al.  Heat transfer optimization in internally finned tubes under laminar flow conditions , 1998 .

[5]  R. Shah,et al.  Handbook of single-phase convective heat transfer , 1987 .

[6]  R. Duffin,et al.  A Variational Problem Relating to Cooling Fins , 1959 .

[7]  Y. Tsukamoto,et al.  Shape optimization problem for minimum volume fin , 1984 .

[8]  K. H. Hawks,et al.  Analysis of viscous dissipation effect on thermal entrance heat transfer in laminar pipe flows with convective boundary conditions , 1983 .

[9]  T. Basu,et al.  Laminar heat transfer in a tube with viscous dissipation , 1985 .

[10]  V. P. Tyagi.  Laminar Forced Convection of a Dissipative Fluid in a Channel , 1966 .

[11]  Enzo Zanchini,et al.  Effect of viscous dissipation on the asymptotic behaviour of laminar forced convection in circular tubes , 1996 .

[12]  Arthur David Snider,et al.  OPTIMAL FIN PROFILES - CLASSICAL AND MODERN , 1990 .

[13]  Arthur David Snider,et al.  The Quest for the Optimum Longitudinal Fin Profile , 1987 .

[14]  Antonio Barletta.  On forced convection in a circular duct with slug flow and viscous dissipation , 1996 .

[15]  Giampietro Fabbri.  Optimum profiles for asymmetrical longitudinal fins in cylindrical ducts , 1999 .

[16]  Jerald D. Parker,et al.  Introduction to fluid mechanics and heat transfer , 1969 .

[17]  Avram Bar-Cohen,et al.  Advances in Thermal Modeling of Electronic Components and Systems, Vol. 1 , 1988 .

[18]  Gian Luca Morini,et al.  Laminar viscous dissipation in rectangular ducts , 1998 .

[19]  C. J. Maday,et al.  The Minimum Weight One-Dimensional Straight Cooling Fin , 1974 .

[20]  K. C. Cheng,et al.  Viscous dissipation effects on thermal entrance region heat transfer in pipes with uniform wall heat flux , 1973 .

[21]  Antonio Barletta,et al.  Forced convection in the thermal entrance region of a circular duct with slug flow and viscous dissipation , 1997 .

[22]  H. Brinkman,et al.  Heat effects in capillary flow I , 1951 .

[23]  R. Shah,et al.  Thermal Boundary Conditions and Some Solutions for Laminar Duct Flow Forced Convection , 1974 .