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Numerical investigation of nanofluid laminar forced convection heat transfer between two horizontal concentric cylinders in the presence of porous medium

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Abstract

In this paper, the finite volume method is used to investigate the laminar forced convection of water–copper nanofluid between two porous horizontal concentric cylinders. The effects of Reynolds number, the volume fraction of nanoparticles, the geometry, and the porous medium porosity on heat transfer have been studied. The problem is investigated in two different geometries and Re = 10, 25, 50, 75,100, and volume fraction of nanoparticles 0, 0.2, 0.5, 2, and 5% that were related to Copper nanoparticles and the porous medium porosity of 0.5, 0.9. The results indicated that in each geometry, the corresponding Nusselt number increase in the porosity of 0.9 is greater than that of the case with the porosity of 0.5. The results show that the increase in the heat transfer coefficient in the second geometry is greater than the first geometry and in porosity 0.9 is greater than porosity 0.5. These increase values are 6 and 3%, respectively. The increase in the average temperature of the inner cylinder surface in the five mentioned Reynolds values and both geometries is investigated. This increase in temperature in Re = 10 is greater than other Reynolds numbers. The corresponding temperature increases of Re = 10, for the first and second geometries, are 1.8 and 2.2%, respectively. Investigation of the effects of volume fraction of nanoparticles on Nusselt number and heat transfer coefficient shows that both parameters increase by increasing in the volume fraction of nanoparticles. The results show that the increase in the volume fraction of nanoparticles causes the increase in average temperature of the surface. The results show that these increases of temperature that take place in the volume fractions of 0.5, 2, and 5% of nanoparticles are equal to 0.6, 1.14, and 2.3% and relative to the water, respectively.

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Abbreviations

C f :

Coefficient of friction

C p :

Heat capacity (J kg−1 K−1)

g :

Gravitational acceleration (m s−2)

h :

Local heat transfer coefficient (W m−2 K−1)

k :

Thermal conductivity coefficient (Wm−1 K−1)

Nu:

Nusselt number

Re:

Reynolds number

T :

Temperature (K)

u, v, w :

Velocity components in x, y, z directions (ms−1)

φ :

Volume fraction of nanoparticles

μ :

Dynamic viscosity (Pa s−1)

ε :

Porosity

ρ :

Density (kg m−3)

υ :

Kinematics viscosity (m2 s−1)

c:

Cold

Eff:

Effective

f:

Base fluid (pure water)

h:

Hot

nf:

Nanofluid

p:

Solid nanoparticles

References

  1. Siavashi M, Vamerzani BZ. Numerical simulation of two-phase non-Newtonian polymer flooding in porous media to enhance oil recovery. Modares Mech Eng. 2016;16(7):297–307.

    Google Scholar 

  2. Siavashi M, Karimi K, Xiong Q, Doranehgard MH. Numerical analysis of mixed convection of two-phase non-Newtonian nanofluid flow inside a partially porous square enclosure with a rotating cylinder. J Therm Anal Calorim. 2019;137(1):267–87.

    Article  CAS  Google Scholar 

  3. Asiaei S, Zadehkafi A, Siavashi M. Multi-layered porous foam effects on heat transfer and entropy generation of nanofluid mixed convection inside a two-sided lid-driven enclosure with internal heating. Transp Porous Media. 2019;126(1):223–47.

    Article  CAS  Google Scholar 

  4. Izadi A, Siavashi M, Rasam H, Xiong Q. MHD enhanced nanofluid mediated heat transfer in porous metal for CPU cooling. Appl Therm Eng. 2020;168:114843.

    Article  CAS  Google Scholar 

  5. Karbasifar B, Akbari M, Toghraie D. Mixed convection of Water-Aluminum oxide nanofluid in an inclined lid-driven cavity containing a hot elliptical centric cylinder. Int J Heat Mass Transf. 2018;116:1237–49.

    Article  CAS  Google Scholar 

  6. Mahian O, Kolsi L, Amani M, Estellé P, Ahmadi G, Kleinstreuer C, et al. Recent advances in modeling and simulation of nanofluid flows—part II: applications. Phys Rep. 2019;791:1–59. https://doi.org/10.1016/j.physrep.2018.11.003.

    Article  CAS  Google Scholar 

  7. Mahian O, Kolsi L, Amani M, Estellé P, Ahmadi G, Kleinstreuer C, et al. Recent advances in modeling and simulation of nanofluid flows-part I: fundamentals and theory. Phys Rep. 2019;790:1–48. https://doi.org/10.1016/j.physrep.2018.11.004.

    Article  CAS  Google Scholar 

  8. Akbari OA, Toghraie D, Karimipour A, Marzban A, Ahmadi GR. The effect of velocity and dimension of solid nanoparticles on heat transfer in non-Newtonian nanofluid. Phys E. 2017;86:68–75.

    Article  CAS  Google Scholar 

  9. Siavashi M, Miri Joibary SM. Numerical performance analysis of a counter-flow double-pipe heat exchanger with using nanofluid and both sides partly filled with porous media. J Therm Anal Calorim. 2018. https://doi.org/10.1007/s10973-018-7829-z.

    Article  Google Scholar 

  10. Afshari A, Akbari M, Toghraie D, Yazdi ME. Experimental investigation of rheological behavior of the hybrid nanofluid of MWCNT–alumina/water (80%)–ethylene-glycol (20%). J Therm Anal Calorim. 2018;132(2):1001–15.

    Article  CAS  Google Scholar 

  11. Akhgar A, Toghraie D, Sina N, Afrand M. Developing dissimilar artificial neural networks (ANNs) to prediction the thermal conductivity of MWCNT-TiO2/Water-ethylene glycol hybrid nanofluid. Powd Tech. 2019;355:602–10.

    Article  CAS  Google Scholar 

  12. Toghraie D, Sina N, Jolfaei NA, Hajian M, Afrand M. Designing an Artificial Neural Network (ANN) to predict the viscosity of Silver/Ethylene glycol nanofluid at different temperatures and volume fraction of nanoparticles. Physica A. 2019;534:122142.

    Article  CAS  Google Scholar 

  13. Bourantas GC, Skouras ED, Loukopoulos VC, Burganos VN. Heat transfer and natural convection of nanofluids in porous media. Eur J Mech B Fluids. 2014;43:45–56.

    Article  Google Scholar 

  14. Torabi Mohsen, Karimi Nader, Zhang Kaili. Heat transfer and second law analyses of forced convection in a channel partially filled by porous media and featuring internal heat sources. Energy. 2015;93:106–27.

    Article  Google Scholar 

  15. Mahdi RA, Mohammed HA, Munisamy KM, Saeid NH. Review of convection heat transfer and fluid flow in porous media with nanofluid. Renew Sustain Energy Rev. 2015;41:715–34.

    Article  CAS  Google Scholar 

  16. Wu HW, Lin IH, Cheng ML. Heat transfer with natural convection of varying viscosity fluids inside porous media between vertically eccentric annuli. Int J Heat Mass Transf. 2016;94:145–55.

    Article  Google Scholar 

  17. Liu Z, Wu H. Numerical modeling of liquid–gas two-phase flow and heat transfer in reconstructed porous media at pore scale. Int J Hydrog Energy. 2016;41:12285–92.

    Article  CAS  Google Scholar 

  18. Aparna K, Seetharamu KN. Investigations on the effect of non-uniform temperature on fluid flow and heat transfer in a trapezoidal cavity filled with porous media. Int J Heat Mass Transf. 2017;108:63–78.

    Article  CAS  Google Scholar 

  19. Kasaeian A, Daneshazarian R, Mahian O, Kolsi L, Chamkha AJ, Wongwises S, Pop I. Nanofluid flow and heat transfer in porous media: a review of the latest developments. Int J Heat Mass Transf. 2017;107:778–91.

    Article  CAS  Google Scholar 

  20. Torabi M, Torabi M, Ghiaasiaan SM, Peterson GP. The effect of Al2O3–water nanofluid on the heat transfer and entropy generation of laminar forced convection through isotropic porous media. Int J Heat Mass Transf. 2017;111:804–16.

    Article  CAS  Google Scholar 

  21. Nithyadevi N, Begum AS, Oztop HF, Abu-Hamdeh N. Mixed convection analysis in heat transfer enhancement of a nanofluid filled porous enclosure with various wall speed ratios. Int J Heat Mass Transf. 2017;113:716–29.

    Article  CAS  Google Scholar 

  22. Toosi MH, Siavashi M. Two-phase mixture numerical simulation of natural convection of nanofluid flow in a cavity partially filled with porous media to enhance heat transfer. J Mol Liq. 2017;238:553–69.

    Article  CAS  Google Scholar 

  23. Sheikholeslami M, Rokni HB. Nanofluid convective heat transfer intensification in a porous circular cylinder. Chem Eng Process. 2017;120:93–104. https://doi.org/10.1016/j.cep.2017.07.001.

    Article  CAS  Google Scholar 

  24. Mojumder S, Saha S, Rahman MR, Rahman MM, Rabbi KM, Ibrahim TA. Numerical study on mixed convection heat transfer in a porous L-shaped cavity. Eng Sci Technol Int J. 2017;20:272–82.

    Google Scholar 

  25. Nazari S, Toghraie D. Numerical simulation of heat transfer and fluid flow of Water–CuO Nanofluid in a sinusoidal channel with a porous medium. Phys E. 2017;87:134–40.

    Article  CAS  Google Scholar 

  26. Xu H. Convective heat transfer in a porous-medium micro-annulus with effects of the boundary slip and the heat-flux asymmetry: an exact solution. Int J Therm Sci. 2017;120:337–53.

    Article  Google Scholar 

  27. Nimvari ME, Jouybari NF. Investigation of turbulence effects within porous layer on the thermal performance of a partially filled pipe. Int J Therm Sci. 2017;118:374–85.

    Article  Google Scholar 

  28. Akbari OA, Karimipour A, Toghraie D, Safaei MR, Goodarzi M, Alipour H, Dahari M. Investigation of rib’s height effect on heat transfer and flow parameters of laminar water–Al2O3 nanofluid in a two dimensional rib-microchannel. Appl Math Comput. 2016;290:135–53.

    Google Scholar 

  29. Karimipour A, Alipour H, Akbari OA, Semiromi DT, Esfe MH. Studying the effect of indentation on flow parameters and slow heat transfer of water–silver nano-fluid with varying volume fraction in a rectangular two-dimensional micro channel. Indian J Sci Technol. 2016;8:2015.

    Google Scholar 

  30. Pourfattah F, Motamedian M, Sheikhzadeh Gh, Toghraie D, Akbari OA. The numerical investigation of angle of attack of inclined rectangular rib on the turbulent heat transfer of water–Al2O3 nanofluid in a tube. Int J Mech Sci. 2017;131–132:1106–16.

    Article  Google Scholar 

  31. Alipour H, Karimipour A, Safaei MR, Semiromi DT, Akbari OA. Influence of T-semi attached rib on turbulent flow and heat transfer parameters of a silver-Water nanofluid with different volume fractions in a three-dimensional trapezoidal microchannel. Phys E. 2016;88:60–76.

    Article  Google Scholar 

  32. Akbari OA, Toghraie D, Karimipour A. Numerical simulation of heat transfer and turbulent flow of water nanofluids copper oxide in rectangular microchannel with semi attached rib. Adv Mech Eng. 2016;8:1–25.

    Article  CAS  Google Scholar 

  33. Seta T, Takegoshi E, Okui K. Lattice Boltzmann simulation of natural convection in porous media. Math Comput Simul. 2006;72(2):195–200.

    Article  Google Scholar 

  34. Bianco V, Manca O, Nardini S, Vafai K. Heat transfer enhancement with nano fluids. Boca Raton: CRC Press; 2015. ISBN 9781482254006 - CAT# K23942

    Book  Google Scholar 

  35. Rezaei O, Akbari OA, Marzban A, Toghraie D, Pourfattah F, Mashayekhi R. The numerical investigation of heat transfer and pressure drop of turbulent flow in a triangular microchannel. Phys E. 2017;93:179–89.

    Article  CAS  Google Scholar 

  36. Ningbo Z, Jialong Y, Hui L, Ziyin Z, Shuying L. Numerical investigation of laminar heat transfer and flow performance of Al2O3–water nanofluids in a flat tube. Int J Heat Mass Transf. 2016;92:268–72.

    Article  Google Scholar 

  37. Silva RA, de Lemos MJS. Turbulent flow in a channel occupied by a porous layer considering the stress jump at the interface. Int J Heat Mass Transf. 2003;46:5113–21.

    Article  Google Scholar 

  38. Sheikholeslami M, Haq R, Shafee A, Li Z, Elaraki YG, Tlili I. Heat transfer simulation of heat storage unit with nanoparticles and fins through a heat exchanger. Int J Heat Mass Transf. 2019;135:470–8.

    Article  CAS  Google Scholar 

  39. Sheikholeslami M, Haq R, Shafee A, Li Z. Heat transfer behavior of nanoparticle enhanced PCM solidification through an enclosure with V shaped fins. Int J Heat Mass Transf. 2019;130:1322–42.

    Article  CAS  Google Scholar 

  40. Sheikholeslami M. New computational approach for exergy and entropy analysis of nanofluid under the impact of Lorentz force through a porous media. Comput Methods Appl Mech Eng. 2019;344:319–33.

    Article  Google Scholar 

  41. Sheikholeslami M. Numerical approach for MHD Al2O3–water nanofluid transportation inside a permeable medium using innovative computer method. Comput Methods Appl Mech Eng. 2019;344:306–18.

    Article  Google Scholar 

  42. Sheikholeslami M, Gerdroodbary MB, Moradi R, Shafee A, Li Z. Application of neural network for estimation of heat transfer treatment of Al2O3–H2O nanofluid through a channel. Comput Methods Appl Mech Eng. 2019;344:1–12.

    Article  Google Scholar 

  43. Ergun S. Fluid flow through packed columns. Chem Eng Prog. 1952;48:89–94.

    CAS  Google Scholar 

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Acknowledgements

This study is partially supported by the Fujian Province Natural Science Foundation (No: 2018J01506), University-industry cooperation program of Department of Science and Technology of Fujian Province (No. 2019H6018), Fuzhou Science and Technology Planning Project (No: 2018S113, 2018G92), the Educational Research Projects of Young Teachers of Fujian Province(No. JK2017038, JAT170439), and the 2017 Outstanding Young Scientist Training Program of Colleges in Fujian Province.

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Authors and Affiliations

  1. School of Physics and Electronic Information Engineering, Minjiang University, Fuzhou, 350108, China

    Xinglong Liu

  2. Engineering Research Center of Fujian University for Marine Intelligent Ship Equipment, Minjiang University, Fuzhou, 350108, China

    Xinglong Liu

  3. Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran

    Davood Toghraie & Maboud Hekmatifar

  4. Young Researchers and Elite Club, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran

    Omid Ali Akbari

  5. Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran

    Arash Karimipour

  6. Laboratory of Magnetism and Magnetic Materials, Advanced Institute of Materials Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Masoud Afrand

  7. Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Masoud Afrand

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  1. Xinglong Liu
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Correspondence to Masoud Afrand.

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Liu, X., Toghraie, D., Hekmatifar, M. et al. Numerical investigation of nanofluid laminar forced convection heat transfer between two horizontal concentric cylinders in the presence of porous medium. J Therm Anal Calorim 141, 2095–2108 (2020). https://doi.org/10.1007/s10973-020-09406-3

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