Sensitivity Analysis of Entropy Generation in Nanofluid Flow inside a Channel by Response Surface Methodology

Nanofluids can afford excellent thermal performance and have a major role in energy conservation aspect. In this paper, a sensitivity analysis has been performed by using response surface methodology to calculate the effects of nanoparticles on the entropy generation. For this purpose, the laminar forced convection of Al2O3-water nanofluid flow inside a channel is considered. The total entropy generation rates consist of the entropy generation rates due to heat transfer and friction loss are calculated by using velocity and temperature gradients. The continuity, momentum and energy equations have been solved numerically using a finite volume method. The sensitivity of the entropy generation rate to different parameters such as the solid volume fraction, the particle diameter, and the Reynolds number is studied in detail. Series of simulations were performed for a range of solid volume fraction 0 ≤ ϕ ≤ 0.05 , particle diameter 30  nm ≤ d p ≤ 90 ​ nm , and the Reynolds number 200 ≤ Re ≤ 800. The results showed that the total entropy generation is more sensitive to the Reynolds number rather than the nanoparticles diameter or solid volume fraction. Also, the magnitude of total entropy generation, which increases with increase in the Reynolds number, is much higher for the pure fluid rather than the nanofluid.

[1]  Davood Domiri Ganji,et al.  An analytical study on entropy generation of nanofluids over a flat plate , 2013 .

[2]  A. Behzadmehr,et al.  A new model for calculating the effective viscosity of nanofluids , 2009 .

[3]  Goodarz Ahmadi,et al.  Entropy Generation during Turbulent Flow of Zirconia-water and Other Nanofluids in a Square Cross Section Tube with a Constant Heat Flux , 2014, Entropy.

[4]  C. Chon,et al.  Empirical correlation finding the role of temperature and particle size for nanofluid (Al2O3) thermal conductivity enhancement , 2005 .

[5]  Saiied M. Aminossadati,et al.  A Numerical Study on the Forced Convection of Laminar Nanofluid in a Microchannel with Both Slip and No-Slip Conditions , 2011 .

[6]  Saman Rashidi,et al.  Opposition of Magnetohydrodynamic and AL2O3–water nanofluid flow around a vertex facing triangular obstacle , 2016 .

[7]  Chia-Jung Hsu.  Numerical Heat Transfer and Fluid Flow , 1981 .

[8]  Somchai Wongwises,et al.  A review of entropy generation in nanofluid flow , 2013 .

[9]  Saman Rashidi,et al.  Enhancement of heat transfer by nanofluids and orientations of the equilateral triangular obstacle , 2015 .

[10]  Vincenzo Bianco,et al.  Performance analysis of turbulent convection heat transfer of Al2O3 water-nanofluid in circular tubes at constant wall temperature , 2014 .

[11]  Saman Rashidi,et al.  Structural optimization of nanofluid flow around an equilateral triangular obstacle , 2015 .

[12]  Saman Rashidi,et al.  Heat transfer enhancement and pressure drop penalty in porous solar heat exchangers: A sensitivity analysis , 2015 .

[13]  M. Ozgun Korukcu.  2D Temperature Analysis of Energy and Exergy Characteristics of Laminar Steady Flow across a Square Cylinder under Strong Blockage , 2015, Entropy.

[14]  Farshad Kowsary,et al.  Experimental investigation of laminar convective heat transfer and pressure drop of water-based Al2O3 nanofluids in fully developed flow regime , 2013 .

[15]  Sheng‐Qi Zhou,et al.  Measurement of the specific heat capacity of water-based Al2O3 nanofluid , 2008 .

[16]  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 .

[17]  Arif Hepbasli,et al.  Heat transfer performance and exergy analyses of a corrugated plate heat exchanger using metal oxide nanofluids , 2014 .

[18]  Roydon Andrew Fraser,et al.  Thermodynamic analysis of flow and heat transfer inside channel with two parallel plates , 2002 .

[19]  A. Fattahi,et al.  MHD mixed convection and entropy generation in a 3-D microchannel using Al2O3–water nanofluid , 2015 .

[20]  Niladri Chakraborty,et al.  Study of heat transfer due to laminar flow of copper–water nanofluid through two isothermally heated parallel plates , 2009 .

[21]  F. Durst,et al.  Accurate computations of the laminar flow past a square cylinder based on two different methods : lattice-Boltzmann and finite-volume , 2000 .

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

[23]  Saman Rashidi,et al.  A NUMERICAL STUDY ON CONVECTION AROUND A SQUARE CYLINDER USING AL2O3-H2O NANOFLUID , 2014 .

[24]  Vincenzo Bianco,et al.  Second Law Analysis of Al2O3-Water Nanofluid Turbulent Forced Convection in a Circular Cross Section Tube with Constant Wall Temperature , 2013 .

[25]  Bilal Akash,et al.  Energy and exergy analysis of alumina-water nanofluid for an electronic liquid cooling system☆ , 2014 .

[26]  Ningqun Guo,et al.  Entropy generation of viscous dissipative nanofluid flow in microchannels , 2012 .

[27]  G. Box,et al.  On the Experimental Attainment of Optimum Conditions , 1951 .

[28]  Margaret J. Robertson,et al.  Design and Analysis of Experiments , 2006, Handbook of statistics.

[29]  S. Eiamsa-ard,et al.  Application of Response Surface Methodology to optimization of a standard Ranque–Hilsch vortex tube refrigerator , 2014 .

[30]  Goodarz Ahmadi,et al.  Discrete particle model for convective AL2O3–water nanofluid around a triangular obstacle , 2016 .