Entropy Generation in a Circular Tube Heat Exchanger Using Nanofluids: Effects of Different Modeling Approaches

References

• Choi, U. S., Enhancing Thermal Conductivity of Fluids With Nanoparticles, ASME FED, vol. 231, pp. 99–103, 1995.
   Google Scholar
• Maxwell, J. C., Electricity and Magnetism, Clarendon Press, Oxford, UK, 1873.
   Google Scholar
• Murshed, S. M. S., Leong, K. C., and Yang, C., Thermophysical and Electrokinetic Properties of Nanofluids—A Critical Review, Applied Thermal Engineering, vol. 28, pp. 2109–2125, 2008.
   Web of Science ®Google Scholar
• Corcione, M., Empirical Correlating Equations for Predicting the Effective Thermal Conductivity and Dynamic Viscosity of Nanofluids, Energy Conversion and Management, vol. 52, no. 1, pp. 789–793, 2011.
   Web of Science ®Google Scholar
• Corcione, M., A Semi-Empirical Model for Predicting the Effective Dynamic Viscosity of Nanoparticle Suspensions, Heat Transfer Engineering, vol. 33, no. 7, pp. 575–583, 2012.
   Web of Science ®Google Scholar
• Khanafer, K., and Vafai, K., A Critical Synthesis of Thermophysical Characteristics of Nanofluids, International Journal of Heat and Mass Transfer, vol. 54, pp. 4410–4428, 2011.
   Web of Science ®Google Scholar
• Hussein, A. M., Sharma, K. V., Bakar, R. A., and Kadirgama, K., A Review of Forced Convection Heat Transfer Enhancement and Hydrodynamic Characteristics of a Nanofluid, Renewable and Sustainable Energy Reviews, vol. 29, pp. 734–743, 2014.
   Web of Science ®Google Scholar
• Hejazian, M., and Moraveji, M. K., A Comparative Analysis of Single and Two-Phase Models of Turbulent Convective Heat Transfer in a Tube for TiO2 Nanofluid With CFD, Numerical Heat Transfer Part A: Applications, vol. 63, no. 10, pp. 795–806, 2013.
   Web of Science ®Google Scholar
• Moraveji, M. K., and Esmaeili, E., Comparison Between Single-Phase and Two-Phases CFD Modeling of Laminar Forced Convection Flow of Nanofluids in a Circular Tube Under Constant Heat Flux, International Communications in Heat and Mass Transfer, vol. 39, no. 8, pp. 1297–1302, 2012.
   Web of Science ®Google Scholar
• Kamyar, A., Saidur, R., and Hasanuzzaman, M., Application of Computational Fluid Dynamics (CFD) for nanofluids, International Journal of Heat and Mass Transfer, vol. 55, pp. 4104–4115, 2012.
   Web of Science ®Google Scholar
• Yang, C., Li, W., Sano, Y., Mochizuki, M., and Nakayama, A., On the Anomalous Convective Heat Transfer Enhancement in Nanofluids: A Theoretical Answer to the Nanofluids Controversy, Journal of Heat Transfer, vol. 135, no. 5, article 54504, 2013.
   Web of Science ®Google Scholar
• Keblinski, P., Prasher, R., and Eapen, J., Thermal Conductance of Nanofluids: Is the Controversy Over?, Journal of Nanoparticle Research, vol. 10, no. 7, pp. 1089–1097, 2008.
   Web of Science ®Google Scholar
• Alizad, K., Vafai, K., and Shafahi, M., Thermal Performance and Operational Attributes of the Startup Characteristics of Flat-Shaped Heat Pipes Using Nanofluids, International Journal of Heat and Mass Transfer, vol. 55, pp. 140–155, 2012.
   Web of Science ®Google Scholar
• Mahian, O., Kianifar, A., Kalogirou, S. A., Pop, I., and Wongwises, S., A Review of the Applications of Nanofluids in Solar Energy, International Journal of Heat and Mass Transfer, vol. 57, pp. 582–594, 2013.
   Web of Science ®Google Scholar
• Rafati, M., Hamidi, A.A., and Shariati Niaser, M., Application of Nanofluids in Computer Cooling Systems (Heat Transfer Performance of Nanofluids), Applied Thermal Engineering, vol. 45–46, pp. 9–14, 2012.
   Web of Science ®Google Scholar
• Vanaki, S. M., and Mohammed, H. A., Numerical Study of Nanofluid Forced Convection Flow in Channels Using Different Shaped Transverse Ribs, International Communications in Heat and Mass Transfer, vol. 67, pp. 176–188, 2015.
   Web of Science ®Google Scholar
• Khoshvaght-Aliabadi, M., Tavasoli, M., and Hormozi, F., Comparative Analysis on Thermal–Hydraulic Performance of Curved Tubes: Different Geometrical Parameters and Working Fluids, Energy, vol. 91, pp. 588–600, 2015.
   Web of Science ®Google Scholar
• Shadloo, M. S., Hadjadj, A., and Hussain, F., Statistical Behavior of Supersonic Turbulent Boundary Layers With Heat Transfer at M = 2, International Journal of Heat and Fluid Flow, vol. 53, pp. 113–134, 2015.
   Web of Science ®Google Scholar
• Rahmat, A., Tofighi, N., Shadloo, M. S., and Yildiz, M., Numerical Simulation of Wall Bounded and Electrically Excited Rayleigh–Taylor Instability Using Incompressible Smoothed Particle Hydrodynamics, Colloids and Surfaces A: Physicochemical and Engineering Aspects, vol. 460, pp. 60–70, 2014.
   Web of Science ®Google Scholar
• Zainali, A., Tofighi, N., Shadloo, M. S., and Yildiz, M., Numerical Investigation of Newtonian and Non-Newtonian Multiphase Flows Using ISPH Method, Computer Methods in Applied Mechanics and Engineering, vol. 254, pp. 99–113, 2013.
   Web of Science ®Google Scholar
• Syam Sundar, L., and Sharma, K. V., Turbulent Heat Transfer and Friction Factor of Al2O3 Nanofluid in Circular Tube With Twisted Tape Inserts, International Journal of Heat and Mass Transfer, vol. 53, pp. 1409–1416, 2010.
   Web of Science ®Google Scholar
• Akbari, M., Galanis, N., and Behzadmehr, A., Comparative Assessment of Single and Two-Phase Models for Numerical Studies of Nanofluid Turbulent Forced Convection, International Journal of Heat and Fluid Flow, vol. 37, pp. 136–146, 2012.
   Web of Science ®Google Scholar
• Hejazian, M., Keshavarz Moraveji, M., and Beheshti, A., Comparative Numerical Investigation onTiO2/Water Nanofluid Turbulent Flow by Implementation of Single Phase and Two Phase Approaches, Numerical Heat Transfer, Part A, vol. 66, pp. 330–348, 2014.
   Web of Science ®Google Scholar
• Bejan, A., Entropy Generation Minimization, CRC Press, Boca Raton, FL, 1996.
   Google Scholar
• Bianco, V., Manca, O., and Nardini, S., Entropy Generation Analysis of Turbulent Convection Flow of Al2O3–Water Nanofluid in a Circular Tube Subjected to Constant Wall Heat Flux, Energy Conversion and Management, vol. 77, pp. 306–314, 2014.
   Web of Science ®Google Scholar
• Bianco, V., Manca, O., and Nardini, S., Second Law Analysis of Al2O3–Water Nanofluid Turbulent Forced Convection in a Circular Cross Section Tube With Constant Wall Temperature, Advances in Mechanical Engineering, article 920278, 2013.
   Web of Science ®Google Scholar
• Rashidi, M. M., Kavyani, N., and Abelman, S., Investigation of Entropy Generation in MHD and Slip Flow Over a Rotating Porous Disk With Variable Properties, International Journal of Heat and Mass Transfer, vol. 70, pp. 892–917, 2014.
   Web of Science ®Google Scholar
• Mahian, O., Kianifar, A., Kleinstreuer, C., Al-Nimr, M. A., Pop, I., Sahin, A. Z., and Wongwises, S., A Review of Entropy Generation in Nanofluid Flow, International Journal of Heat and Mass Transfer, vol. 65, pp. 514–532, 2013.
   Web of Science ®Google Scholar
• Goodarzi, M., Safaei, M. R., Oztop, H. F., Karimipour, A., Sadeghinezhad, E., Dahari, M., and Kazi, S. N., Numerical Study of Entropy Generation due to Coupled Laminar and Turbulent Mixed Convection Heat Transfer and Thermal Radiation in a Square Enclosure Filled With a Semitransparent Medium, Scientific World Journal, article ID 761745, 8 pp., 2014.
   Google Scholar
• Abolbashari, M. H., Freidoonimehr, N., Nazari, F., and Rashidi, M. M., Entropy Analysis for an Unsteady MHD Flow Past a Stretching Permeable Surface in Nano-Fluid, Powder Technology, vol. 267, pp. 256–267, 2014.
   Web of Science ®Google Scholar
• Jamalabadi, M. Y. A., Park, J. H., and Lee, C. Y., Optimal Design of Magnetohydrodynamic Mixed Convection Flow in a Vertical Channel with Slip Boundary Conditions and Thermal Radiation Effects by Using an Entropy Generation Minimization Method, Entropy, vol. 17, no. 2, pp. 866–881, 2015.
   Web of Science ®Google Scholar
• Rashidi, M. M., Ali, M., Freidoonimehr, N., and Nazari, F., Parametric Analysis and Optimization of Entropy Generation in Unsteady MHD Flow over a Stretching Rotating Disk Using Artificial Neural Network and Particle Swarm Optimization Algorithm, Energy, vol. 55, pp. 497–510, 2013.
   Web of Science ®Google Scholar
• Oztop, H. F., and Abu-Nada, E., Numerical Study of Natural Convection in Partially Heated Rectangular Enclosures Filled With Nanofluids, International Journal of Heat and Fluid Flow, vol. 29, pp. 1326–1336, 2008.
   Web of Science ®Google Scholar
• Fatehi, R., Shadloo, M. S., and Manzari, M. T., Numerical Investigation of Two-Phase Secondary Kelvin–Helmholtz Instability, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, vol. 228, no. 11, pp. 913–1924, 2014.
   Web of Science ®Google Scholar
• Bég, O. A., Rashidi, M. M., Akbari, M., and Hosseini, A., Comparative Numerical Study of Single-Phase and Two Phase Models for Bio-Nanofluid Transport Phenomena, Journal of Mechanics in Medicine and Biology, vol. 14, no. 1, pp. 1450011, 2014.
   Web of Science ®Google Scholar
• Goodarzi, M., Safaei, M. R., Vafai, K., Ahmadi, G., Dahari, M., Kazi, S. N., and Jomhari, N., Investigation of Nanofluid Mixed Convection in a Shallow Cavity Using a Two-Phase Mixture Model, International Journal of Thermal Sciences, vol. 75, pp. 204–220, 2014.
   Web of Science ®Google Scholar
• Das, S. K., Choi, S. U. S., Yu, W., and Pradeep, T., Nanofluids Science and Technology, John Wiley & Sons, Hoboken, NJ, 2008.
   Google Scholar
• Manninen, M., Taivassalo, V., and Kallio, S., On the Mixture Model for Multiphase Flow, Technical Research Centre of Finland, VTT Publications, Finland, 1996.
   Google Scholar
• Schiller, L., and Naumann, A., A Drag Coefficient Correlation, Zeitschrift des Vereines Deutscher Ingenieure, vol. 77, pp. 318–320, 1935.
   Google Scholar
• Bianco, V., Chiacchio, F., Manca, O., and Nardini, S., Numerical Investigation of Nanofluids Forced Convection in Circular Tubes, Applied Thermal Engineering, vol. 29, pp. 3632–3642. 2009.
   Web of Science ®Google Scholar
• Minkowycz, W. J., Sparrow, E. M., and Murthy, J. Y., Handbook of Numerical Heat Transfer, 2nd ed., John Wiley & Sons, Hoboken, NJ, 2006.
   Google Scholar
• Behzadmehr, A., Saffar-Avval, M., and Galanis, N., Prediction of Turbulent Forced Convection of a Nanofluid in a Tube With Uniform Heat Flux Using a Two Phase Approach, International Journal of Heat and Fluid Flow, vol. 28, pp. 211–219, 2007.
   Web of Science ®Google Scholar
• Hadjadj, A., Ben-Nasr, O., Shadloo, M. S., and Chaudhuri, A., Effect of Wall Temperature in Supersonic Turbulent Boundary Layers: A Numerical Study, International Journal of Heat and Mass Transfer, vol. 81, pp. 426–438, 2015.
   Web of Science ®Google Scholar
• Lauder, B. E., and Spalding, D. B., Lectures in Mathematical Models of Turbulence, Academic Press, London, UK, 1972.
   Google Scholar
• Kock, F., and Herwig, H., Local Entropy Production in Turbulent Shear Flows: A High-Reynolds Number Model With Wall Functions, International Journal of Heat and Mass Transfer, vol. 47, pp. 2205–2215, 2004.
   Web of Science ®Google Scholar
• Kock, F., and Herwig, H., Entropy Production Calculation for Turbulent Shear Flows and Their Implementation in CFD Codes, International Journal of Heat and Fluid Flow, vol. 26, pp. 672–680, 2005.
   Web of Science ®Google Scholar
• Ko, T. H., and Wu, C. P., A Numerical Study on Entropy Generation Induced by Turbulent Forced Convection in Curved Rectangular Ducts With Various Aspect Ratios, International Communications in Heat and Mass Transfer, vol. 36, pp. 25–31, 2009.
   Web of Science ®Google Scholar
• Balaji, C., Hölling, M., and Herwig, H., Entropy Generation Minimization in Turbulent Mixed Convection Flows, International Communications in Heat and Mass Transfer, vol. 34, pp. 544–552, 2007.
   Web of Science ®Google Scholar
• Kim, D., Kwon, Y., Cho, Y., Li, C., Cheong, S., Hwang, Y., Lee, J., Hong, D., and Moon, S., Convective Heat Transfer Characteristics of Nanofluids Under Laminar Andturbulent Flow Conditions, Current Applied Physics, vol. 9, pp. 119–123, 2009.
   Web of Science ®Google Scholar
• Aghaei, A., Sheikhzadeh, G.A., Dastmalchi, M., and Forozande, H., Numerical Investigation of Turbulent Forced-Convective Heat Transfer of Al2O3–Water Nanofluid With Variable Properties in Tube, Ain Shams Engineering Journal, vol. 6, pp. 577–585, 2015.
   Web of Science ®Google Scholar
• Hojjat, M., Etemad, S.G., Bagheri, R. and Thibault, J., Turbulent Forced Convection Heat Transfer of Non-Newtonian Nanofluids, Experimental Thermal and Fluid Science, vol. 35, pp. 1351–1356, 2011.
   Web of Science ®Google Scholar
• Corcione, M., Empirical Correlating Equations for Predicting the Effective Thermal Conductivity and Dynamic Viscosity of Nanofluids, Energy Conversion and Management, vol. 52, pp. 789–793, 2011.
   Web of Science ®Google Scholar
• Balachandar, S., Instability and Turbulence of Propagating Particulate Flows, Bulletin of the American Physical Society, vol. 60, no. 21, 2015.
   Google Scholar
• Singh, P. K., Anoop, K. B., Sundararajan, T., and Das, S. K., Entropy Generation due to Flow and Heat Transfer in Nanofluids, International Journal of Heat and Mass Transfer, vol. 53, pp. 4757–4767, 2010.
   Web of Science ®Google Scholar