Abstract
Heat exchangers are often associated with drawbacks like a large pressure drop or a non-uniform flow distribution. Recent research shows that bionic structures can provide possible improvements. We considered a set of such structures that were designed with M. Hermann’s FracTherm® algorithm. In order to optimize and compare them with conventional heat exchangers, we developed a numerical method to determine their performance. We simulated the flow in the heat exchanger applying a network model and coupled these results with a finite volume method to determine the heat distribution in the heat exchanger.
Similar content being viewed by others
References
Hermann M (2005) Bionische Ansätze zur Entwicklung energieeffizienter Fluidsysteme für den Wärmetransport, Ph.D. thesis, University of Karlsruhe, Germany
Wolf-Gladrow DA (2000) Lattice-gas cellular automata and lattice Boltzmann models: an introduction. Springer, Berlin
Klein P, Maleshkov D, Asenov M, A framework for concurrency in numerical simulations using lock free data structures: the Graph Parallel Architecture GraPA. Accepted paper PDCAT’08
Fraas AP (1989) Heat exchanger design, 2nd edn. Wiley, New York
Lienhard IV JH, Lienhard V JH (2002) A heat transfer textbook, 3rd edn. Phlogiston Press, Cambridge
Incropera FP, Dewitt DP, Bergman TL, Lavine AS (2007) Fundamentals of heat and mass transfer, 6th edn. Wiley, New York
Prithiviraj M, Andrews MJ (1998) Three dimensional numerical simulation of shell-and-tube heat exchangers. Part I: foundation and fluid mechanics. Num Heat Transf, Part A Appl 33(8):799–816
Prithiviraj M, Andrews MJ (1998) Three dimensional numerical simulation of shell-and-tube heat exchangers. Part II: Heat transfer. Num Heat Transf, Part A: Appl 33(8):817–828
Nunez T (2001) Charakterisierung und Bewertung von Adsorbentien frmetransformationsanwendungen, Ph.D. thesis, University of Freiburg, Germany
Karagiorgas M, Meunier F (1987) The dynamics of a solid-adsorption heat pump connected with outside heat sources of fine capacity. Heat Recovery Systems CHP 7(3):285–299
Sakoda A, Suzuki M (1986) Simultaneous transport of heat and adsorbate in closed type adsorption cooling system utilizing solar heat. J. Solar Energy Eng 108:239–245
Knaber P, Angermann L (2003) Numerical methods for elliptic and parabolic partial differential equations. Springer, New York
Pieper M, Klein P (2010) Numerical solution of the heat equation with nonlinear, time derivative dependent source term. Int J Num Eng 84(10):1205–1221
Chertok A, Kurganov A, Petrova G (2009) Fast explicit operator splitting method for convection-diffusion equations. Int. J. Numer. Meht. Fluids 59(3):309–332
Strang G (1968) On the construction and comparison of difference schemes. SIAM J Num Anal 5:506–517
Landau LD, Lifshitz EM (1987) Fluid mechanics, 2nd edn, vol 6 (Course on Theoretical Physics). Butterworth-Heinemann, Oxford
Maier RS, Bernard RS, Grunau DW (1996) Boundary conditions for the lattice Boltzmann method. Phys. Fluids 8(7):1788–1801
Zou Q, He X (1997) On pressure and velocity boundary conditions for the lattice Boltzmann BGK model, Phys. Fluids 9(6):1591–1598
Pieper M, Klein P (2010) Periodic homogenization for heat conduction with adsorption effects in non-periodic, porous media. Int J Num Eng
Booker AJ, Dennis JE Jr, Frank PD, Serafini DB, Torczon V, Trosset MW (1999) A rigorous framework for optimization of expensive functions by surrogates. Struc Multidisciplinary Optimization 17(1):1–13
Acknowledgments
We would like to thank Fraunhofer for the financial support of the THOKA project.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Pieper, M., Klein, P. A simple and accurate numerical network flow model for bionic micro heat exchangers. Heat Mass Transfer 47, 491–503 (2011). https://doi.org/10.1007/s00231-010-0739-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00231-010-0739-7