How to Determine Losses in a Flow Field: A Paradigm Shifttowards the Second Law Analysis

Assuming that CFD solutions will be more and more used to characterize losses in terms of drag for external flows and head loss for internal flows, we suggest to replace single-valued data, like the drag force or a pressure drop, by field information about the losses. These information are gained when the entropy generation in the flow field is analyzed, an approach that often is called second law analysis (SLA), referring to the second law of thermodynamics. We show that this SLA approach is straight-forward, systematic and helpful when it comes to the physical interpretation of the losses in a flow field. Various examples are given, including external and internal flows, two phase flow, compressible flow and unsteady flow. Finally, we show that an energy transfer within a certain process can be put into a broader perspective by introducing the entropic potential of an energy.

[1]  H. Herwig,et al.  From single obstacles to wall roughness: some fundamental investigations based on DNS results for turbulent channel flow , 2013 .

[2]  Heinz Herwig,et al.  Second law analysis for sustainable heat and energy transfer: The entropic potential concept , 2015 .

[3]  Heinz Herwig,et al.  An extended similarity theory applied to heated flows in complex geometries , 2009 .

[4]  Heinz Herwig,et al.  Performance Evaluation of the Flow in Micro Junctions: Head Change Versus Head Loss Coefficients , 2013 .

[5]  Heinz Herwig,et al.  Diffuser and Nozzle Design Optimization by Entropy Generation Minimization , 2011, Entropy.

[6]  Heinz Herwig,et al.  Assessing heat transfer processes: a critical view at criteria based on the second law of thermodynamics , 2012 .

[7]  Richard A. Gaggioli,et al.  Second law analysis for process and energy engineering , 1983 .

[8]  Heinz Herwig,et al.  Loss Coefficients in Laminar Flows: Indispensable for the Design of Micro Flow Systems , 2010 .

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

[10]  Heinz Herwig,et al.  Second law analysis of momentum and heat transfer in unit operations , 2011 .

[11]  F. Menter Improved two-equation k-omega turbulence models for aerodynamic flows , 1992 .

[12]  Greg F. Naterer,et al.  Entropy‐based metric for component‐level energy management: application to diffuser performance , 2005 .

[13]  Jung-Yang San,et al.  Second-law analysis of a wet crossflow heat exchanger , 2000 .

[14]  Mohammad Hassan Saidi,et al.  Exergy model of a vortex tube system with experimental results , 1999 .

[15]  Heinz Herwig,et al.  Internal Flow Losses: A Fresh Look at Old Concepts , 2011 .

[16]  H. Herwig,et al.  Application of the similarity theory including variable property effects to a complex benchmark problem , 2010 .

[17]  Heinz Herwig,et al.  Determination of head change coefficients for dividing and combining junctions: A method based on the second law of thermodynamics , 2014 .

[18]  M. J. Moran,et al.  Fundamentals of Engineering Thermodynamics , 2014 .

[19]  Heinz Herwig,et al.  Efficient methods to account for variable property effects in numerical momentum and heat transfer solutions , 2011 .

[20]  H. Herwig,et al.  A critical analysis of turbulent natural and forced convection in a plane channel based on direct numerical simulation , 2011 .

[21]  Heinz Herwig,et al.  Loss Coefficients for Compressible Flows in Conduit Components Under Different Thermal Boundary Conditions , 2014 .

[22]  Heinz Herwig,et al.  Flow in Channels With Rough Walls—Old and New Concepts , 2010 .

[23]  A. F. Messiter,et al.  Boundary-Layer Interaction Theory , 1983 .

[24]  Heinz Herwig,et al.  Turbulent flow and heat transfer in channels with shark skin surfaces: Entropy generation and its physical significance , 2014 .

[25]  J. S. Dugdale,et al.  Entropy And Its Physical Meaning , 1996 .

[26]  Elliott H. Lieb,et al.  A Fresh Look at Entropy and the Second Law of Thermodynamics , 2000 .

[27]  Adrian Bejan,et al.  Thermodynamic optimization of geometric structure in the counterflow heat exchanger for an environmental control system , 2001 .

[28]  B. Lakshminarayana Fluid dynamics and heat transfer of turbomachinery , 1995 .

[29]  M. Schlüter,et al.  Experimental investigation of liquid–liquid mixing in T-shaped micro-mixers using μ-LIF and μ-PIV , 2006 .

[30]  A. Bejan Entropy Generation Minimization , 2016 .

[31]  A. Bejan A Study of Entropy Generation in Fundamental Convective Heat Transfer , 1979 .

[32]  D. K. Anand,et al.  Second Law Analysis of Solar Powered Absorption Cooling Cycles and Systems , 1984 .

[33]  Mamdouh El Haj Assad,et al.  Thermodynamic analysis of an irreversible MHD power plant , 2000 .

[34]  H. Herwig,et al.  Local entropy production in turbulent shear flows: a high-Reynolds number model with wall functions , 2004 .

[35]  R. Clift,et al.  Bubbles, Drops, and Particles , 1978 .

[36]  Eric M. Kennedy,et al.  Friction factors for pipe flow of xanthan-based concentrates of fire fighting foams , 2005 .

[37]  Heinz Herwig,et al.  A new approach to understanding and modelling the influence of wall roughness on friction factors for pipe and channel flows , 2008, Journal of Fluid Mechanics.

[38]  K. Ting,et al.  Entropy generation and optimal analysis for laminar forced convection in curved rectangular ducts : A numerical study , 2006 .

[39]  Wolfgang Ruppel,et al.  Energie und Entropie , 1976 .

[40]  L. Schiller,et al.  Über den Strömungswiderstand von Rohren verschiedenen Querschnitts und Rauhigkeitsgrades , 1923 .

[41]  Aziz Belmiloudi,et al.  Heat Transfer - Theoretical Analysis, Experimental Investigations and Industrial Systems , 2011 .

[42]  R. Y. Nuwayhid,et al.  On entropy generation in thermoelectric devices , 2000 .

[43]  Heinz Herwig,et al.  Wall roughness effects in laminar flows: an often ignored though significant issue , 2010 .

[44]  G. Williams,et al.  Internal flow systems , 1980 .

[45]  Martin Goldstein,et al.  Opening doors to understanding: The refrigerator and the universe, understanding the laws of energy , 1993 .

[46]  H. Herwig,et al.  Heat Transfer and Its Assessment , 2011 .

[47]  Heinz Herwig,et al.  Microchannel Roughness Effects: A Close-Up View , 2007 .

[48]  H. Herwig,et al.  Direct and indirect methods of calculating entropy generation rates in turbulent convective heat transfer problems , 2006 .

[49]  DUSáAN P. SEKULICá Entropy Generation in a Heat Exchanger , 1986 .

[50]  H. Herwig,et al.  Entropy production calculation for turbulent shear flows and their implementation in cfd codes , 2005 .

[51]  J. E. Hesselgreaves Rationalisation of second law analysis of heat exchangers , 2000 .

[52]  A. Bejan The Concept of Irreversibility in Heat Exchanger Design: Counterflow Heat Exchangers for Gas-to-Gas Applications , 1977 .

[53]  Heinz Herwig,et al.  Loss Coefficients for Periodically Unsteady Flows in Conduit Components: Illustrated for Laminar Flow in a Circular Duct and a 90 Degree Bend , 2013 .

[54]  Heinz Herwig,et al.  The Role of Entropy Generation in Momentum and Heat Transfer , 2010 .

[55]  Heinz Herwig,et al.  Drag with external and pressure drop with internal flows: a new and unifying look at losses in the flow field based on the second law of thermodynamics , 2013 .

[56]  Franz Peters,et al.  Scaling parameters of bubbles and drops; interpretation and case study with air in silicon oil , 2011 .