Abstract
The hybrid nanofluid turbulent convective migration within a tube having turbulator was analyzed using the numerical approach and investigated through entropy optimization principle. The forced convective fluid motion is modeled through coupled partial differential equations satisfying suitable boundary restrictions. The set of developed coupled equations is solved through ANSY Fluent Solver. The characteristics of the chosen hybrid nanomaterial were clarified via contours of streaming velocity, and temperature by varying the strength of Reynolds number (Re) and revolution (P) of tape. It is found that the exergy loss in the tube decreases with the increasing Re and P. The fluid velocity enhances with the augmenting Re associated with the higher input power and with the increasing P. The temperature declines with the augmenting fluid turbulence and drops (rises) with the augmenting P at bigger (smaller) Re. The exergy destruction with augmenting Re drops at much faster rate as compared with the enhancing P. The accommodation of the achieved results with the published work depicts reasonable correctness of the applied simulation procedure.
Similar content being viewed by others
Data Availability Statement
This manuscript has associated data in a data repository. [Authors’ comment: The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.].
References
Y.-M. Chu, N.H. Abu-Hamdeh, B. Ben-Beya, M.R. Hajizadeh, Z. Li, Q.-V. Bach, Nanoparticle enhanced PCM exergy loss and thermal behavior by means of FVM. J. Mol. Liq. 320, 114457 (2020). https://doi.org/10.1016/j.molliq.2020.114457
M. Sheikholeslami, S.A. Farshad, Z. Said, Analyzing entropy and thermal behavior of nanomaterial through solar collector involving new tapes. Int. Commun. Heat Mass Transf. 123, 105190 (2021). https://doi.org/10.1016/j.icheatmasstransfer.2021.105190
Y. Qin, Simulation of MHD impact on nanomaterial irreversibility and convective transportation through a chamber. Appl. Nanosci. (2021). https://doi.org/10.1007/s13204-021-01941-1
C. She, R. Jiab, B.-N. Hu, Z.-K. Zheng, Y.-P. Xu, D. Rodriguez, Life cycle cost and life cycle energy in zero-energy building by multi-objective optimization. Energy Rep. 7, 5612–5626 (2021)
Y.-M. Chu, Z. Salahshoor, M.S. Shahraki, A. Shafee, Q.-V. Bach, Annulus shape tank with convective flow in a porous zone with impose of MHD. Int. J. Modern Phys. C (2020). https://doi.org/10.1142/S0129183120501685
X. Yu, C. She, F. Gholizadeh, Y.-P. Xu, Numerical investigation of a new combined energy cycle based on miller cycle, organic rankine cycle, stirling engine and alkaline fuel cell. Energy Rep. 7, 5406–5419 (2021)
T.-H. Zhao, Z.-Y. He, Y.-M. Chu, Sharp bounds for the weighted H-older mean of the zero-balanced generalized complete elliptic integrals. Comput. Methods Funct. Theory 21, 413–426 (2021). https://doi.org/10.1007/s40315-020-00352-7
Y.-M. Chu, D. Yadav, A. Shafee, Z. Li, Q.-V. Bach, Influence of wavy enclosure and nanoparticles on heat release rate of PCM considering numerical study. J. Mol. Liq. 319, 114121 (2020). https://doi.org/10.1016/j.molliq.2020.114121
L.-N. Guo, C. She, D.-B. Kong, S.-L. Yan, Y.-P. Xu, M. Khayatnezhad, F. Gholini, Prediction of the effects of climate change on hydroelectric generation, electricity demand, and emissions of greenhouse gases under climatic scenarios and optimized ANN model. Energy Rep. 7, 5431–5445 (2021)
Y. Qin, Effect of inclusion of nanoparticles on unsteady heat transfer. Appl. Nanosci. (2021). https://doi.org/10.1007/s13204-021-01960-y
P. Ouyang, Y.-P. Xu, L.-Y. Qi, S.-M. Xing, H. Fooladi, Comprehensive evaluation of flat plate and parabolic dish solar collectors’ performance using different operating fluids and MWCNT nanofluid in different climatic conditions. Energy Rep. 7, 2436–2451 (2021)
T.-H. Zhao, M.-K. Wang, Y.-M. Chu, Concavity and bounds involving generalized elliptic integral of therst kind. J. Math. Inequal. 15(2), 701–724 (2021). https://doi.org/10.7153/jmi-2021-15-50
Y.-M. Chu, R. Moradi, A.M. Abazari, Q.-V. Bach, Effect of non-uniform magnetic field on thermal performance of nanofluid flow in angled junction. Int. J. Modern Phys. C 2, 1059 (2020). https://doi.org/10.1142/S0129183121500017
T.-H. Zhao, M.-K. Wang, Y.-M. Chu, Monotonicity and convexity involving generalized elliptic integral of therst kind. Rev. R. Acad. Cienc. Exactas Nat. Ser. A Mat. RACSAM 115(2), 13 (2021). https://doi.org/10.1007/s13398-020-00992-3
Y.-M. Chu, M.R. Hajizadeh, Z. Li, Q.-V. Bach, Investigation of nano powders influence on melting process within a storage unit. J. Mol. Liq. 318, 114321 (2020). https://doi.org/10.1016/j.molliq.2020.114321
M. Sheikholeslami, S.A. Farshad, Z. Ebrahimpour, Z. Said, Recent progress on flat plate solar collectors and photovoltaic systems in the presence of nanofluid: a review. J. Cleaner Prod. 293, 126119 (2021). https://doi.org/10.1016/j.jclepro.2021.126119
Y. Qin, Nanofluid heat transfer within a pipe equipped with external device. Int. Commun. Heat Mass Transf. 127, 105487 (2021). https://doi.org/10.1016/j.icheatmasstransfer.2021.105487
H.-H. Chu, T.-H. Zhao, Y.-M. Chu, Sharp bounds for the Toader mean of order 3 in terms of arithmetic, quadratic and contraharmonic means. Math. Slovaca 70(5), 1097–1112 (2020). https://doi.org/10.1515/ms-2017-0417
Y. Xie, X. Meng, D. Mao, Z. Qin, L. Wan, Y. Huang, Homogeneously dispersed graphene nanoplatelets as long-term corrosion inhibitors for aluminum matrix composites. ACS Appl. Mater. Interfaces 13(27), 32161–32174 (2021). https://doi.org/10.1021/acsami.1c07148
J. Feng, X. Luo, M. Gao, A. Abbas, Y.-P. Xu, S. Pouraminid, Minimization of energy consumption by building shape optimization using an improved Manta-Ray Foraging Optimization algorithm. Energy Rep. 7, 1068–1078 (2021)
M. Khodadadi, M. Sheikholeslami, Heat transfer efficiency and electrical performance evaluation of photovoltaic unit under influence of NEPCM. Int. J. Heat Mass Transf. (2022). https://doi.org/10.1016/j.ijheatmasstransfer.2021.122232
Y.-M. Chu, S. Bilal, M.R. Hajizadeh, Hybrid ferrofluid along with MWCNT for augmentation of thermal behavior of fluid during natural convection in a cavity. Math. Methods Appl. Sci. 7, 1–12 (2020). https://doi.org/10.1002/mma.6937
T.-H. Zhao, Z.-Y. He, Y.-M. Chu, On some renements for inequalities involving zero-balanced hypergeometric function. AIMS Math. 5(6), 6479–6495 (2020). https://doi.org/10.3934/math.2020418
Y. Qin, Numerical modeling of energy storage unit during freezing of paraffin utilizing Al2O3 nanoparticles and Y-shape fin. J. Energy Storage 44, 103452 (2021). https://doi.org/10.1016/j.est.2021.103452
M. Wang, C. Jiang, S. Zhang, X. Song, Y. Tang, H. Cheng, Reversible calcium alloying enables a practical room-temperature rechargeable calcium-ion battery with a high discharge voltage. Nat. Chem. 10(6), 667–672 (2018). https://doi.org/10.1038/s41557-018-0045-4
S. Yao, Xu. Yi-Peng, E. Ramezani, Optimal long-term prediction of Taiwan’s transport energy by convolutional neural network and wildebeest herd optimizer. Energy Rep. 7, 218–227 (2021)
T.-H. Zhao, M.-K. Wang, Y.-M. Chu, A sharp double inequality involving generalized complete elliptic integral of therst kind. AIMS Math. 5(5), 4512–4528 (2020). https://doi.org/10.3934/math.2020290
F. Li, A. Almarashi, M. Jafaryar, M.R. Hajizadeh, Y.-M. Chu, Melting process of nanoparticle enhanced PCM through storage cylinder incorporating fins. Powder Technol. 381, 551–560 (2021)
Y. Feng, B. Zhang, Y. Liu, Z. Niu, B. Dai, Y. Fan, X. Chen, A 200–225-GHz manifold-coupled multiplexer utilizing metal wave guides. IEEE Trans. Microwave Theory Tech. 1, 10 (2021). https://doi.org/10.1109/TMTT.2021.3119316
M. Sheikholeslami, M. Jafaryar, Nanoparticles for improving the efficiency of heat recovery unit involving entropy generation analysis. J. Taiwan Inst. Chem. Eng. 115, 96–107 (2020). https://doi.org/10.1016/j.jtice.2020.09.033
Y. Zi-Xuan, M.-S. Li, X. Yi-Peng, S. Aslam, Y.-K. Li, Techno-economic planning and operation of the microgrid considering real-time pricing demand response program. Energies 14(15), 4597 (2021). https://doi.org/10.3390/en14154597
T.-H. Zhao, L. Shi, Y.-M. Chu, Convexity and concavity of the modied Bessel functions of therst kind with respect to Holder means. Rev. R. Acad. Cienc. Exactas Nat. Ser. A Mat. 114(2), 14 (2020). https://doi.org/10.1007/s13398-020-00825-3
X. Zhang, Y. Tang, F. Zhang, C. Lee, A novel aluminum-graphite dual-ion battery. Adv. Energy Mater. 6(11), 1502588 (2016). https://doi.org/10.1002/aenm.201502588
J. Wang, Y.-P. Xu, R. Qahiti, M. Jafaryar, M.A. Alazwari, N.H. Abu-Hamdeh, A. Issakhov, M.M. Selim, Simulation of hybrid nanofluid flow within a microchannel heat sink considering porous media analyzing CPU stability. J. Pet. Sci. Eng. 208, 109734 (2020)
T.-H. Zhao, B.-C. Zhou, M.-K. Wang, Y.-M. Chu, On approximating the quasi-arithmetic mean. J. Inequal. Appl. 42, 12 (2019). https://doi.org/10.1186/s13660-019-1991-0
T. Wang, A. Almarashi, Y.A. Al-Turki, N.H. Abu-Hamdeh, M.R. Hajizadeh, Y.-M. Chu, Approaches for expedition of discharging of PCM involving nanoparticles and radial fins. J. Mol. Liq. (2020). https://doi.org/10.1016/j.molliq.2020.115052
M. Sheikholeslami, M. Jafaryar, Z. Said, A.I. Alsabery, H. Babazadeh, A. Shafee, Modification for helical turbulator to augment heat transfer behavior of nanomaterial via numerical approach. Appl. Thermal Eng. 182, 115935 (2021)
X. Tong, F. Zhang, B. Ji, M. Sheng, Y. Tang, Carbon-coated porous aluminum foil anode for high-rate, long-term cycling stability, and high energy density dual-ion batteries. Adv. Mater. (Weinheim) 28(45), 9979–9985 (2016). https://doi.org/10.1002/adma.201603735
T.-H. Zhao, M.-K. Wang, W. Zhang, Y.-M. Chu, Quadratic transformation inequalities for Gaussian hypergeometric function. J. Inequal. Appl. 251, 15 (2018). https://doi.org/10.1186/s13660-018-1848-y
Y. Fu, H. Chen, R. Guo, Y. Huang, M.R. Toroghinejad, Extraordinary strength-ductility in gradient amorphous structured Zr-based alloy. J. Alloy. Compd. 888, 161507 (2021). https://doi.org/10.1016/j.jallcom.2021.161507
S.U.S. Choi, Enhancing thermal conductivity of fluids with nanoparticles. Proc. ASME Int. Mech. Eng. Congr. Expo. 66, 99–105 (1995)
F. Rashidi, N.M. Nezamabad, Experimental investigation of convective heat transfer coefficient of cnts nanofluid under constant heat flux, in Proceedings of the World Congress on Engineering, Vol. 3. 1em plus 0.5em Minus 0.4em WCE London, UK, 2011, pp. 6–8
B.C. Pak, Y.I. Cho, Hydrodynamic and heat transfer study of dispersed fluids with submicron metallic oxide particles. Exp. Heat Transf. Int. J. 11(2), 151–170 (1998)
B. Sun, W. Lei, D. Yang, Flow and convective heat transfer characteristics of fe2o3–water nanofluids inside copper tubes. Int. Commun. Heat Mass Transf. 64, 21–28 (2015)
N.K. Mahanta, A.R. Abramson, Thermal conductivity of graphene and graphene oxide nanoplatelets, in 13th InterSociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems. 1em plus 0.5em Minus 0.4em IEEE, 2012, pp. 1–6
A. Mehmood, M.S. Iqbal, Heat transfer analysis in natural convection flow of nanofluid past a wavy cone. J. Mol. Liq. 223, 1178–1184 (2016)
M. Sheikholeslami, B. Rezaeianjouybari, M. Darzi, A. Shafee, Z. Li, T.K. Nguyen, Application of nano-refrigerant for boiling heat transfer enhancement employing an experimental study. Int. J. Heat Mass Transf. 141, 974–980 (2019)
Y.-M. Chu, T.-H. Zhao, Concavity of the error function with respect to Holder means. Math. Inequal. Appl. 19(2), 589–595 (2016)
Y.-M. Chu, E. Abohamzeh, Q.-V. Bach, Thermal two-phase analysis of nanomaterial in a pipe with turbulent flow. Appl. Nanosci. (2020). https://doi.org/10.1007/s13204-020-01576-8
Y.-P. Xu, J.-W. Tan, D.-J. Zhu, P. Ouyang, B. Taheri, Model identification of the proton exchange membrane fuel cells by extreme learning machine and a developed version of arithmetic optimization algorithm. Energy Rep. 7, 2332–2342 (2020)
S.-S. Zhou, S. Rashid, M.A. Noor, K.I. Noor, F. Safdar, Y.M. Chu, New Hermite-Hadamard type inequalities for exponentially convex functions and applications. AIMS Math. 5(6), 6874–6901 (2020). https://doi.org/10.3934/math.2020441
Y.-M. Chu, R. Moradi, Computational investigation of non-uniform magnetic field on thermal characteristic of nanofluid stream inside 180 degree elbow pipe. Mod. Phys. Lett. B (2020). https://doi.org/10.1142/S0217984921501578
S.-S. Zhou, S. Rashid, F. Jarad, H. Kalsoom, Y.-M. Chu, New estimates considering the generalized proportional Hadamard fractional integral operators. Adv. Differ. Equ. 275, 15 (2020). https://doi.org/10.1186/s13662-020-02730-w
Y.-M. Chu, F. Salehi, M. Jafaryar, Q.-V. Bach, Simulation based on FVM for influence of nanoparticles on flow inside a pipe enhanced with helical tapes. Appl. Nanosci. (2020). https://doi.org/10.1007/s13204-020-01583-9
S.-B. Chen, S. Rashid, Z. Hammouch, M.A. Noor, R. Ashraf, Y.-M. Chu, Integral inequalities via Raina’s fractional integrals operator with respect to a monotone function. Adv. Differ. Equ. 647, 20 (2020). https://doi.org/10.1186/s13662-020-03108-82
S.-B. Chen, S. Rashid, M.A. Noor, Z. Hammouch, Y.-M. Chu, New fractional approaches for n-polynomial P-convexity with applications in special function theory. Adv. Differ. Equ. 543, 31 (2020). https://doi.org/10.1186/s13662-020-03000-5
Y.-M. Chu, Z. Li, Q.-V. Bach, Application of nanomaterial for thermal unit including tube fitted with turbulator. Appl. Nanosci. 2, 17 (2020). https://doi.org/10.1007/s13204-020-01587-5
S.-B. Chen, S. Rashid, M.A. Noor, R. Ashraf, Y.-M. Chu, A new approach on fractional calculus and probability density function. AIMS Math. 5(6), 7041–7054 (2020). https://doi.org/10.3934/math.2020451
G. Momin, Experimental investigation of mixed convection with water-Al2O3 and hybrid nanofluid in inclined tube for Laminar flow. Int. J. Sci. Tech. Res. 2, 193–202 (2014)
S. Suresh, K.P. Venkitaraj, P. Selvakumar, M. Chandrasekar, Synthesis of Al2O3–Cu/water hybrid nanofluids using two step method and its thermo physical properties. Colloids Surf. A. 388, 41–48 (2011)
T. Hayat, S. Nadeem, Heat transfer enhancement with Ag–CuO/water hybrid nanofluid. Results Phys. 7, 2317–2324 (2017)
S. Suresh, K.P. Venkitaraj, P. Selvakumar, M. Chandrasekar, Effect of Al2O3–Cu/water hybrid nanofluid in heat transfer. Exp. Therm. Fluid Sci. 38, 54–60 (2012)
H. Babazadeh, Z. Shah, I. Ullah, P. Kumam, A. Shafee, Analyze of hybrid nanofluid behavior within a porous cavity including Lorentz forces and radiation impacts. J. Therm. Anal. Calorim. (2020). https://doi.org/10.1007/s10973-020-09416-1
L.A. Lund, Z. Omar, I. Khan, A.H. Seikh, E.S.M. Sherif, K.S. Nisar, Stability analysis and multiple solution of Cu–Al2O3/H2O nanofluid contains hybrid nanomaterials over a shrinking surface in the presence of viscous dissipation. J. Mater. Res. Technol. 9, 421–432 (2020)
M. Sheikholeslami, S.A. Farshad, Numerical simulation of effect of non-uniform solar irradiation on nanofluid turbulent flow. Int. Commun. Heat Mass Transf. 129, 105648 (2021). https://doi.org/10.1016/j.icheatmasstransfer.2021.105648
M. Sheikholeslami, M. Jafaryar, M. Hedayat, A. Shafee, Z. Li, T.K. Nguyen, M. Bakouri, Heat transfer and turbulent simulation of nanomaterial due to compound turbulator including irreversibility analysis. Int. J. Heat Mass Transfer 137, 1290–1300 (2019)
A. García, P.G. Vicente, A. Viedma, Experimental study of heat transfer enhancement with wire coil inserts in Laminar-transition-turbulent regimes at different Prandtl numbers. Int. J. Heat Mass Transf. 48(21), 4640–4651 (2005)
C. Qi, G. Wang, Y. Yan, S. Mei, T. Luo, Effect of rotating twisted tape on thermohydraulic performances of nanofluids in heat-exchanger systems. Energy Convers. Manag. 166, 744–757 (2018)
A. Bejan, A study of entropy generation in fundamental convective heat transfer. J. Heat Trans. 101, 718–725 (1979)
M. Sheikholeslami, S.A. Farshad, Investigation of solar collector system with turbulator considering hybrid nanoparticles. Renew. Energy 171, 1128–1158 (2021)
I.V. Miroshnichenko, M.A. Sheremet, H.F. Oztop, K. Al-Salem, MHD natural convection in a partially open trapezoidal cavity filled with a nanofluid. Int. J. Mech. Sci. 119, 294–302 (2016)
Z. Shah, M. Jafaryar, M. Sheikholeslami, I.P. Kumam, Heat transfer intensification of nanomaterial with involve of swirl flow device concerning entropy generation. Sci. Rep. 2, 19 (2021)
R.M. Susin, G.A. Lindner, V.C. Mariani, K.C. Mendonça, Evaluating the influence of the width of inlet slot on the prediction of indoor airflow: comparison with experimental data. Build. Environ. 44(5), 971–986 (2009). https://doi.org/10.1016/j.buildenv.2008.06.021
L.S. Sundar, M.K. Singh, A.C.M. Sousa, Enhanced heat transfer and friction factor of MWCNT–Fe3O4/water hybrid nanofluids. Int. Commun. Heat Mass Transf. 52, 73 (2014)
R.M. Manglik, A.E. Bergles, Heat transfer and pressure drop correlations for twisted-tape inserts in isothermal tubes: part II—transition and turbulent flows. J. Heat Transf. 115(4), 890–896 (1993)
Acknowledgements
The first author is supported by the Science Development grant of Fujian Province (No. 2021J02050).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Competing interests
All authors have declare that they have no competing interests.
Rights and permissions
About this article
Cite this article
Liu, X., Shah, Z., Ikramullah et al. Numerical modeling of nanofluid exergy loss within tube with multi-helical tapes. Eur. Phys. J. Plus 137, 152 (2022). https://doi.org/10.1140/epjp/s13360-021-02327-6
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/s13360-021-02327-6