Entropy Generation Analysis and Thermodynamic Optimization of Jet Impingement Cooling Using Large Eddy Simulation

In this work, entropy generation analysis is applied to characterize and optimize a turbulent impinging jet on a heated solid surface. In particular, the influence of plate inclinations and Reynolds numbers on the turbulent heat and fluid flow properties and its impact on the thermodynamic performance of such flow arrangements are numerically investigated. For this purpose, novel model equations are derived in the frame of Large Eddy Simulation (LES) that allows calculation of local entropy generation rates in a post-processing phase including the effect of unresolved subgrid-scale irreversibilities. From this LES-based study, distinctive features of heat and flow dynamics of the impinging fluid are detected and optimal operating designs for jet impingement cooling are identified. It turned out that (1) the location of the stagnation point and that of the maximal Nusselt number differ in the case of plate inclination; (2) predominantly the impinged wall acts as a strong source of irreversibility; and (3) a flow arrangement with a jet impinging normally on the heated surface allows the most efficient use of energy which is associated with lowest exergy lost. Furthermore, it is found that increasing the Reynolds number intensifies the heat transfer and upgrades the second law efficiency of such thermal systems. Thereby, the thermal efficiency enhancement can overwhelm the frictional exergy loss.

[1]  A. Datta Effects of gravity on structure and entropy generation of confined laminar diffusion flames , 2005 .

[2]  F. Nicoud,et al.  Subgrid-Scale Stress Modelling Based on the Square of the Velocity Gradient Tensor , 1999 .

[3]  Muhammad Idrees Afridi,et al.  Entropy Generation in Three Dimensional Flow of Dissipative Fluid , 2018 .

[4]  Yuichi Matsuo,et al.  DNS of turbulent heat transfer in channel flow with respect to Reynolds and Prandtl number effects , 1999 .

[5]  Mehmet Yilmaz,et al.  Performance evaluation criteria for heat exchangers based on second law analysis , 2001 .

[6]  Noam Lior,et al.  Jet Impingement Heat Transfer: Physics, Correlations, and Numerical Modeling , 2006 .

[7]  B. L. Button,et al.  A review of heat transfer data for single circular jet impingement , 1992 .

[8]  J. Williamson Low-storage Runge-Kutta schemes , 1980 .

[9]  Johannes Janicka,et al.  Thermal Transport and Entropy Production Mechanisms in a Turbulent Round Jet at Supercritical Thermodynamic Conditions , 2017, Entropy.

[10]  Adrian Bejan,et al.  Method of entropy generation minimization, or modeling and optimization based on combined heat transfer and thermodynamics , 1996 .

[11]  Heinz Herwig,et al.  Local entropy production in turbulent shear flows: A tool for evaluating heat transfer performance , 2006 .

[12]  Bernhard Weigand,et al.  Multiple Jet Impingement − A Review , 2011 .

[13]  R. Viskanta Heat transfer to impinging isothermal gas and flame jets , 1993 .

[14]  Ulrich Schumann,et al.  Coherent structure of the convective boundary layer derived from large-eddy simulations , 1989, Journal of Fluid Mechanics.

[15]  Umer Farooq,et al.  Transpiration and Viscous Dissipation Effects on Entropy Generation in Hybrid Nanofluid Flow over a Nonlinear Radially Stretching Disk , 2018, Entropy.

[16]  Saeid Abbasbandy,et al.  Entropy Generation Analysis for Stagnation Point Flow in a Porous Medium over a Permeable Stretching Surface , 2015 .

[17]  Nilanjan Chakraborty,et al.  A Direct Numerical Simulation-Based Analysis of Entropy Generation in Turbulent Premixed Flames , 2013, Entropy.

[18]  Hüseyin Yapıcı,et al.  Numerical calculation of local entropy generation in a methane–air burner , 2005 .

[19]  Ilyas Khan,et al.  Irreversibility analysis in unsteady flow over a vertical plate with arbitrary wall shear stress and ramped wall temperature , 2018 .

[20]  Oluwole Daniel Makinde,et al.  Effects of couple stresses on entropy generation rate in a porous channel with convective heating , 2015 .

[21]  M. K. Drost,et al.  Numerical predictions of local entropy generation in an impinging jet , 1989 .

[22]  Bekir Sami Yilbas,et al.  Local entropy generation in an impinging jet: minimum entropy concept evaluating various turbulence models , 2001 .

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

[24]  Mohammad Reza H. Sheikhi,et al.  Progress in the Prediction of Entropy Generation in Turbulent Reacting Flows Using Large Eddy Simulation , 2014, Entropy.

[25]  A. Bejan Second law analysis in heat transfer , 1980 .

[26]  Johannes Janicka,et al.  Near-Wall Thermal Processes in an Inclined Impinging Jet: Analysis of Heat Transport and Entropy Generation Mechanisms , 2018 .

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

[28]  Hakan F. Oztop,et al.  A review on entropy generation in natural and mixed convection heat transfer for energy systems , 2012 .

[29]  N. Lior,et al.  Impingement Heat Transfer: Correlations and Numerical Modeling , 2005 .

[30]  O. Makinde Entropy analysis for MHD boundary layer flow and heat transfer over a flat plate with a convective surface boundary condition , 2012 .

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

[32]  Adriano Sciacovelli,et al.  Entropy generation analysis as a design tool - A review , 2015 .

[33]  Javad Abolfazli Esfahani,et al.  Effect of non-uniform heating on entropy generation for the laminar developing pipe flow of a high Prandtl number fluid , 2010 .

[34]  Abid Hussanan,et al.  Second Law Analysis of Dissipative Flow over a Riga Plate with Non-Linear Rosseland Thermal Radiation and Variable Transport Properties , 2018, Entropy.

[35]  S. K. Som,et al.  Thermodynamic irreversibilities and exergy balance in combustion processes , 2008 .

[36]  A. Bejan Entropy Generation Minimization: The Method of Thermodynamic Optimization of Finite-Size Systems and Finite-Time Processes , 1995 .

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

[38]  Josette Bellan,et al.  Direct numerical simulation of a transitional supercritical binary mixing layer: heptane and nitrogen , 2002, Journal of Fluid Mechanics.

[39]  S. Corrsin On the Spectrum of Isotropic Temperature Fluctuations in an Isotropic Turbulence , 1951 .

[40]  A. Sadiki,et al.  A digital filter based generation of inflow data for spatially developing direct numerical or large eddy simulations , 2003 .

[41]  Khalid M. Saqr,et al.  CFD modelling of entropy generation in turbulent pipe flow: Effects of temperature difference and swirl intensity , 2016 .

[42]  Ali J. Chamkha,et al.  Colloidal study of unsteady magnetohydrodynamic couple stress fluid flow over an isothermal vertical flat plate with entropy heat generation , 2018 .

[43]  K. Lilly The representation of small-scale turbulence in numerical simulation experiments , 1966 .

[44]  A. Sadiki,et al.  Database of Near-Wall Turbulent Flow Properties of a Jet Impinging on a Solid Surface under Different Inclination Angles , 2018 .

[45]  Majid Bazargan,et al.  Entropy generation in turbulent mixed convection heat transfer to highly variable property pipe flow of supercritical fluids , 2014 .

[46]  Noam Lior,et al.  Energy, exergy, and Second Law performance criteria , 2007 .

[47]  T. Poinsot,et al.  Theoretical and numerical combustion , 2001 .

[48]  A. Sadiki,et al.  On Thermodynamics of Turbulence: Development of First Order Closure Models and Critical Evaluation of Existing Models , 2000 .

[49]  A. Dewan,et al.  Recent Trends in Computation of Turbulent Jet Impingement Heat Transfer , 2012 .

[50]  B. Sundén,et al.  Entropy generation analysis of fully-developed turbulent heat transfer flow in inward helically corrugated tubes , 2018, Numerical Heat Transfer, Part A: Applications.

[51]  Salem Banooni,et al.  Investigation of heat transfer processes involved liquid impingement jets: a review , 2013 .

[52]  Lei Shi,et al.  Entropy Generation Analysis and Performance Evaluation of Turbulent Forced Convective Heat Transfer to Nanofluids , 2017, Entropy.

[53]  H. Martin Heat and Mass Transfer between Impinging Gas Jets and Solid Surfaces , 1977 .

[54]  Bernhard Weigand,et al.  MULTIPLE JET IMPINGEMENT − A REVIEW , 2009 .

[55]  A. Chorin Numerical solution of the Navier-Stokes equations , 1968 .

[56]  Rached Ben-Mansour,et al.  Entropy Generation in Laminar Fluid Flow through a Circular Pipe , 2003, Entropy.

[57]  J. Sierra-Pallares,et al.  Numerical study of supercritical and transcritical injection using different turbulent Prandlt numbers: A second law analysis , 2016 .

[58]  H. Herwig,et al.  Natural convection in a vertical plane channel: DNS results for high Grashof numbers , 2014 .

[59]  J. Keenan Availability and irreversibility in thermodynamics , 1951 .

[60]  Hameed Metghalchi,et al.  Entropy Transport Equation in Large Eddy Simulation for Exergy Analysis of Turbulent Combustion Systems , 2010, Entropy.

[61]  M. I. Afridi,et al.  Entropy Generation Due to Heat and Mass Transfer in a Flow of Dissipative Elastic Fluid Through a Porous Medium , 2018, Journal of Heat Transfer.