KKL correlation for simulation of nanofluid flow and heat transfer inapermeable channel

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 378, Issue 45, 2014, Pages 3331-3339

  Sheikholeslami Kandelousi, Mohsen ^a  

^a BABOL NOSHIRVANI UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Brownian motion; Expansion ratio; Heat transfer; Nanofluid; Porous channel

Indexed keywords

BROWNIAN MOVEMENT; EXPANSION; HEAT TRANSFER; REYNOLDS NUMBER;

EFFECTIVE THERMAL CONDUCTIVITY; EXPANSION RATIO; HEAT TRANSFER ENHANCEMENT; NANOFLUIDS; NANOPARTICLE VOLUME FRACTIONS; PARALLEL PLATES; POROUS CHANNEL; POWER LAW INDEX;

NANOFLUIDICS;

EID: 84908576107     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2014.09.046     Document Type: Article

References (92)

1. S.U.S. Choi, Enhancing thermal conductivity of fluids with nanoparticles, in: D.A. Siginer, H.P. Wang (Eds.), Developments and Applications of Non-Newtonian Flows, FED-vol. 231/MD-vol. 66, ASME, New York, 1995, pp.99-105.
2. Mohsen Sheikholeslami, Shirley Abelman, Davood Domiri Ganji, Numerical simulation of MHD nanofluid flow and heat transfer considering viscous dissipation, Int. J. Heat Mass Transf. 79 (2014) 212-222.
3. M.M. Rashidi, S. Abelman, N. Freidooni Mehr, Entropy generation in steady MHD flow due to a rotating porous disk in a nanofluid, Int. J. Heat Mass Transf. 62 (2013) 515-525.
4. Mohammad Hatami, Mohsen Sheikholeslami, M. Hosseini, Davood Domiri Ganji, Analytical investigation of MHD nanofluidflow in non-parallel walls, J. Mol. Liq. 194 (2014) 251-259.
5. Mohsen Sheikholeslami, Mofid Gorji Bandpy, R. Ellahi, A. Zeeshan, Simulation of MHD CuO-water nanofluid flow and convective heat transfer considering Lorentz forces, J. Magn. Magn. Mater. 369 (2014) 69-80.
6. R. Ellahi, The effects of MHD and temperature dependent viscosity on the flow of non-Newtonian nanofluid in a pipe: analytical solutions, Appl. Math. Model. 37(3) (2013) 1451-1467.
7. M. Sheikholeslami, M. Gorji-Bandpy, D.D. Ganji, MHD free convection in an eccentric semi-annulus filled with nanofluid, J. Chin. Inst. Chem. Eng. 45 (2014) 1204-1216.
8. T. Hayat, F.M. Abbasi, Maryem Al-Yami, Shatha Monaquel, Slip and Joule heating effects in mixed convection peristaltic transport of nanofluid with Soret and Dufour effects, J. Mol. Liq. 194 (2014) 93-99.
9. Mohsen Sheikholeslami, Mofid Gorji-Bandpy, Free convection of ferrofluid in a cavity heated from below in the presence of an external magnetic field, Powder Technol. 256 (2014) 490-498.
10. Mohsen Sheikholeslami, Davood Domiri Ganji, M. Younus Javed, R. Ellahi, Effect of thermal radiation on magnetohydrodynamics nanofluid flow and heat transfer by means of two phase model, J. Magn. Magn. Mater. 374 (2015) 36-43.
11. Mohsen Sheikholeslami, Davood Domiri Ganji, Ferrohydrodynamic and magnetohydrodynamic effects on ferrofluid flow and convective heat transfer, Energy 75 (2014) 400-410.
12. Mohsen Sheikholeslami, Davood Domiri Ganji, Unsteady nanofluid flow and heat transfer in presence of magnetic field considering thermal radiation, J. Braz. Soc. Mech. Sci. Eng. (2014), http://dx.doi.org/10.1007/s40430-014-0228-x.
13. M. Sheikholeslami, M. Gorji-Bandpay, D.D. Ganji, Investigation of nanofluid flow and heat transfer in presence of magnetic field using KKL model, Arab. J. Sci. Eng. 39(6) (2014) 5007-5016.
14. R. Ellahi, M. Mubashir Bhatti, Arshad Riaz, M. Sheikholeslami, Effects of magnetohydrodynamics on peristaltic flow of Jeffreyfluid in a rectangular duct through a porous medium, J. Porous Media 17(2) (2014) 143-157.
15. A.Sh. Kherbeet, H.A. Mohammed, B.H. Salman, The effect of nanofluids flow on mixed convection heat transfer over microscale backward-facing step, Int. J. Heat Mass Transf. 55 (2012) 5870-5881.
16. A.Sh. Kherbeet, H.A. Mohammed, K.M. Munisamy, B.H. Salman, The effect of step height of microscale backward-facing step on mixed convection nanofluid flow and heat transfer characteristics, Int. J. Heat Mass Transf. 68 (2014) 554-566.
17. M. Sheikholeslami, D.D. Ganji, Heated permeable stretching surface in a porous medium using Nanofluids, J. Appl. Fluid Mech. 7(3) (2014) 535-542.
18. M. Sheikholeslami, M. Gorji-Bandpy, D.D. Ganji, Soheil Soleimani, Natural convection heat transfer in a nanofluid filled inclined L-shaped enclosure, IJST, Trans. Mech. Eng. 38 (2014) 217-226.
19. M. Sheikholeslami, D.D. Ganji, Magnetohydrodynamic flow in a permeable channel filled with nanofluid, Sci. Iran. B (2014) 203-212.
20. M. Hatami, M. Sheikholeslami, D.D. Ganji, Nanofluid flow and heat transfer in an asymmetric porous channel with expanding or contracting wall, J. Mol. Liq. 195 (2014) 230-239.
21. 3 -water nanofluid considering thermophoresis and Brownian motion effects, Comput. Fluids 94 (2014) 147-160.
22. M. Sheikholeslami, M. Gorji-Bandpy, D.D. Ganji, Soheil Soleimani, Thermal management for free convection of nanofluid using two phase model, J. Mol. Liq. 194 (2014) 179-187.
23. M. Sheikholeslami, D.D. Ganji, Numerical investigation for two phase modeling of nanofluid in a rotating system with permeable sheet, J. Mol. Liq. 194 (2014) 13-19.
24. M. Sheikholeslami, M. Hatami, D.D. Ganji, Micropolar fluid flow and heat transfer in a permeable channel using analytical method, J. Mol. Liq. 194 (2014) 30-36.
25. M. Sheikholeslami, M. Gorji-Bandpy, D.D. Ganji, Lattice Boltzmann method for MHD natural convection heat transfer using nanofluid, Powder Technol. 254 (2014) 82-93.
26. M. Sheikholeslami, D.D. Ganji, Three dimensional heat and mass transfer in a rotating system using nanofluid, Powder Technol. 253 (2014) 789-796.
27. S. Nadeem, Rizwan UlHaq, Effect of thermal radiation for magnetohydrody-namic boundary layer flow of a nanofluid past a stretching sheet with convective boundary conditions, J. Comput. Theor. Nanosci. 11 (2014) 32-40.
28. S. Nadeem, R.U. Haq, N.S. Akbar, MHD three-dimensional boundary layer flow of casson nanofluid past a linearly stretching sheet with convective boundary condition, IEEE Trans. Nanotechnol. 13 (2014) 109-115.
29. N.S. Akbar, S. Nadeem, R.U. Haq, Ul Rizwan, Z.H. Khan, Nanoparticles fraction on the peristaltic flow of third order fluid, J. Comput. Theor. Nanosci. 11 (2014) 47-52.
30. M. Sheikholeslami, M. Gorji-Bandpy, D.D. Ganji, Soheil Soleimani, Heat flux boundary condition for nanofluid filled enclosure in presence of magnetic field, J. Mol. Liq. 193 (2014) 174-184.
31. M. Sheikholeslami, M. Hatami, D.D. Ganji, Nanofluid flow and heat transfer in a rotating system in the presence of a magnetic field, J. Mol. Liq. 190 (2014) 112-120.
32. M. Sheikholeslami, D.D. Ganji, M. Gorji-Bandpy, Soheil Soleimani, Magnetic field effect on nanofluid flow and heat transfer using KKL model, J. Taiwan Inst. Chem. Eng. 45 (2014) 795-807.
33. M. Sheikholeslami, M. Gorji-Bandpy, Soheil Soleimani, Two phase simulation of nanofluid flow and heat transfer using heatline analysis, Int. Commun. Heat Mass Transf. 47 (2013) 73-81.
34. 3 -water nanofluid flow and heat transfer in a semi-annulus enclosure using LBM, Energy 60 (2013) 501-510.
35. M. Sheikholeslami, M. Gorji Bandpy, R. Ellahi, Mohsan Hassan, Soheil Soleimani, Effects of MHD on Cu-water nanofluid flow and heat transfer by means of CVFEM, J. Magn. Magn. Mater. 349 (2014) 188-200.
36. M. Sheikholeslami, F. Bani Sheykholeslami, S. Khoshhal, H. Mola-Abasi, D.D. Ganji, Houman B. Rokni, Effect of magnetic field on Cu-water nanofluid heat transfer using GMDH-type neural network, Neural Comput. Appl. 25 (2014) 171-178.
37. M.M. Rashidi, S. Abelman, N. Freidooni Mehr, Entropy generation in steady MHD flow due to a rotating porous disk in a nanofluid, Int. J. Heat Mass Transf. 62 (2013) 515-525.
38. M.M. Rashidi, N. Kavyani, S. Abelman, Investigation of entropy generation in MHD and slip flow over a rotating porous disk with variable properties, Int. J. Heat Mass Transf. 70 (2014) 892-917.
39. M. Sheikholeslami, M. Gorji-Bandpy, I. Pop, Soheil Soleimani, Numerical study of natural convection between a circular enclosure and a sinusoidal cylinder using control volume based finite element method, Int. J. Therm. Sci. 72 (2013) 147-158.
40. M. Sheikholeslami, M. Gorji-Bandpy, S.M. Seyyedi, D.D. Ganji, Houman B. Rokni, Soheil Soleimani, Application of LBM in simulation of natural convection in a nanofluid filled square cavity with curve boundaries, Powder Technol. 247 (2013) 87-94.
41. M. Sheikholeslami, M. Gorji-Bandpy, D.D. Ganji, Natural convection in a nanofluid filled concentric annulus between an outer square cylinder and an inner elliptic cylinder, Sci. Iran., Trans. B: Mech. Eng. 20(4) (2013) 1241-1253.
42. M. Sheikholeslami, M. Hatami, D.D. Ganji, Analytical investigation of MHD nanofluid flow in a semi-porous channel, Powder Technol. 246 (2013) 327-336.
43. M. Sheikholeslami, M. Gorji-Bandpy, D.D. Ganji, Soheil Soleimani, Natural convection heat transfer in a cavity with sinusoidal wall filled with CuO-water nanofluid in presence of magnetic field, J. Taiwan Inst. Chem. Eng. 45 (2014) 40-49.
44. R. Ellahi, S.U. Rahman, S. Nadeem, Blood flow of Jeffrey fluid in a catherized tapered artery with the suspension of nanoparticles, Phys. Lett. A 378 (2014) 2973-2980.
45. H.L. Fu, L. Gao, Theory for anisotropic thermal conductivity of magnetic nanofluids, Phys. Lett. A 375 (2011) 3588-3592.
46. T. Hayat, M. Sajid, On analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder, Phys. Lett. A 361 (2007) 316-322.
47. T. Hayat, T. Javed, On analytic solution for generalized three-dimensional MHD flow over a porous stretching sheet, Phys. Lett. A 370 (2007) 243-250.
48. M. Sheikholeslami, M. Gorji-Bandpy, G. Domairry, Free convection of nanofluid filled enclosure using lattice Boltzmann method (LBM), Appl. Math. Mech.-Engl. Ed. 34(7) (2013) 1-15.
49. M. Sheikholeslami, I. Hashim, Soheil Soleimani, Numerical investigation of the effect of magnetic field on natural convection in a curved-shape enclosure, Hindawi Publ. Corporation Math. Probl. Eng. 2013 (2013) 831725, http:// dx.doi.org/10.1155/2013/831725, 11 pages.
50. M. Sheikholeslami, M. Gorji-Bandpy, D.D. Ganji, Soheil Soleimani, Effect of a magnetic field on natural convection in an inclined half-annulus enclosure filled with Cu-water nanofluid using CVFEM, Adv. Powder Technol. 24 (2013) 980-991.
51. M. Sheikholeslami, D.D. Ganji, H.R. Ashorynejad, Investigation of squeezing unsteady nanofluid flow using ADM, Powder Technol. 239 (2013) 259-265.
52. M. Sheikholeslami, M. Gorji-Bandpy, D.D. Ganji, Soheil Soleimani, MHD natural convection in a nanofluid filled inclined enclosure with sinusoidal wall using CVFEM, Neural Comput. Appl. 24 (2014) 873-882.
53. M. Sheikholeslami, D.D. Ganji, Heat transfer of Cu-water nanofluid flow between parallel plates, Powder Technol. 235 (2013) 873-879.
54. H.R. Ashorynejad, M. Sheikholeslami, I. Pop, D.D. Ganji, Nanofluid flow and heat transfer due to a stretching cylinder in the presence of magnetic field, Heat Mass Transf. 49 (2013) 427-436.
55. Hamid Reza Ashorynejad, Abdulmajeed A. Mohamad, Mohsen Sheikholeslami, Magnetic field effects on natural convection flow of a nanofluid in a horizontal cylindrical annulus using Lattice Boltzmann method, Int. J. Therm. Sci. 64 (2013) 240-250.
56. M. Sheikholeslami, M. Gorji-Bandpy, D.D. Ganji, Soheil Soleimani, S.M. Seyyedi, Natural convection of nanofluids in an enclosure between a circular and a sinusoidal cylinder in the presence of magnetic field, Int. Commun. Heat Mass Transf. 39 (2012) 1435-1443.
57. Soheil Soleimani, M. Sheikholeslami, D.D. Ganji, M. Gorji-Bandpay, Natural convection heat transfer in a nanofluid filled semi-annulus enclosure, Int. Commun. Heat Mass Transf. 39 (2012) 565-574.
58. M. Sheikholeslami, M. Gorji-Bandpay, D.D. Ganji, Magnetic field effects on natural convection around a horizontal circular cylinder inside a square enclosure filled with nanofluid, Int. Commun. Heat Mass Transf. 39 (2012) 978-986.
59. Davood Domairry, Mohsen Sheikholeslami, Hamid Reza Ashorynejad, Rama Subba Reddy Gorla, Mostafa Khani, Natural convection flow of a non-Newtonian nanofluid between two vertical flat plates, in: Proc. IMechE Part N, J. Nanoeng. Nanosyst. 225(3) (2012) 115-122, http://dx.doi.org/10.1177/1740349911433468, ©IMechE.
60. M. Sheikholeslami, D.D. Ganji, H.R. Ashorynejad, Houman B. Rokni, Analytical investigation of Jeffery-Hamel flow with high magnetic field and nano particle by Adomian decomposition method, Appl. Math. Mech.-Engl. Ed. 33(1) (2012) 1553-1564.
61. 3 -water nanofluid in a horizontal cylindrical enclosure with an inner triangular cylinder, Int. J. Heat Mass Transf. 80 (2015) 16-25.
62. M. Mustafa, T. Hayat, I. Pop, S. Asghare, S. Obaidat, Stagnation-point flow of a nanofluid towards a stretching sheet, Int. J. Heat Mass Transf. 54 (2011) 5588-5594.
63. T. Hayat, F.M. Abbasi, Maryem Al-Yami, Shatha Monaquel, Slip and Joule heating effects in mixed convection peristaltic transport of nanofluid with Soret and Dufour effects, J. Mol. Liq. 194 (2014) 93-99.
64. T. Hayat, Z. Abbas, I. Pop, S. Asghar, Effects of radiation and magnetic field on the mixed convection stagnation-point flow over a vertical stretching sheet in a porous medium, Int. J. Heat Mass Transf. 53 (2010) 466-474.
65. M. Sheikholeslami, Effect of uniform suction on nanofluid flow and heat transfer over a cylinder, J. Braz. Soc. Mech. Sci. Eng (2014), http://dx.doi.org/10.1007/s40430-014-0242-z.
66. M. Sheikholeslami, H.R. Ashorynejad, G. Domairry, I. Hashim, Flow and heat transfer of Cu-water nanofluid between a stretching sheet and a porous surface in a rotating system, Hindawi Publ. Corporation J. Appl. Math. 2012 (2012) 421320, http://dx.doi.org/10.1155/2012/421320, 19 pages.
67. M. Sheikholeslami, H.R. Ashorynejad, D.D. Ganji, A. Kolahdooz, Investigation of rotating MHD viscous flow and heat transfer between stretching and porous surfaces using analytical method, Hindawi Publ. Corporation Math. Probl. Eng. 2011 (2011) 258734, http://dx.doi.org/10.1155/2011/258734, 17 pages.
68. M. Sheikholeslami, H.R. Ashorynejad, D.D. Ganji, A. Yildirim, Homotopy perturbation method for three-dimensional problem of condensation film on inclined rotating disk, Sci. Iran. B 19(3) (2012) 437-442.
69. S. Nadeem, Rashid Mehmood, Noreen Sher Akbar, Nanoparticle analysis for non-orthogonal stagnation point flow of a third order fluid towards a stretching surface, J. Comput. Theor. Nanosci. 10 (2013) 2737-2747.
70. S. Nadeem, Rashid Mehmood, Noreen Sher Akbar, Optimized analytical solution for oblique flow of a Casson nano fluid with convective boundary conditions, Int. J. Therm. Sci. 78 (2014) 90-100.
71. Mohsen Sheikholeslami, Hamid Reza Ashorynejad, Davood Domairry, Ishak Hashim, Investigation of the laminar viscous flow in a semi-porous channel in the presence of uniform magnetic field using optimal homotopy asymptotic method, Sains Malays. 41(10) (2012) 1177-1229.
72. M. Sheikholeslami, H.R. Ashorynejad, A. Barari, Soheil Soleimani, Investigation of heat and mass transfer of rotating MHD viscous flow between a stretching sheet and a porous surface, Eng. Comput. 30(3) (2013) 357-378.
73. M. Sheikholeslami, D.D. Ganji, Houman B. Rokni, Nanofluid flow in a semi-porous channel in the presence of uniform magnetic field, IJE Trans. C: Aspects 26(6) (June 2013) 653-662.
74. Hongbo Kang, Yuwen Zhang, Mo Yang, Ling Li, Non-equilibrium molecular dynamics simulation of coupling between nanoparticles and base-fluid in a nanofluid, Phys. Lett. A 376 (2012) 521-524.
75. Huaqing Xie, Yang Li Wei Y, Intriguingly high convective heat transfer enhancement of nanofluid coolants in laminar flows, Phys. Lett. A 374 (2010) 2566-2568.
76. L.P. Shen, H. Wang, M. Dong, Z.C. Ma, H.B. Wang, Solvothermal synthesis and electrical conductivity model for the zinc oxide-insulated oil nanofluid, Phys. Lett. A 376 (2012) 1053-1057.
77. J. Koo, C. Kleinstreuer, Liquid flow in microchannels: experimental observations and computational analysis of microfluidics effect, J. Micromech. Microeng. 13 (2003) 568-579.
78. J. Koo, C. Kleinstreuer, Laminar nanofluid flow in microheat-sinks, Int. J. Heat Mass Transf. 48 (2005) 2652-2661.
79. A.S. Berman, Laminar flow in channels with porous walls, J. Appl. Phys. 24 (1953) 1232-1235.
80. L.L. Debruge, L.S. Han, Heat transfer in a channel with a porous wall for turbine cooling application, J. Heat Transfer Trans. ASME 94 (1972) 385-390.
81. M. Goto, S. Uchida, Unsteady flows in a semi-infinite expanding pipe with injection through wall, Trans. Jpn. Soc. Aeronaut. Space Sci. 33 (1990) 14-27.
82. S. Dinarvand, M.M. Rashidi, A reliable treatment of a homotopy analysis method for two-dimensional viscous flow in a rectangular domain bounded by two moving porous walls, Nonlinear Anal., Real World Appl. 11 (2010) 1502-1512.
83. J. Koo, C. Kleinstreuer, Viscous dissipation effects in micro tubes and micro channels, Int. J. Heat Mass Transf. 47 (2004) 3159-3169.
84. J. Koo, Computational nanofluid flow and heat transfer analyses applied to microsystems, PhD Thesis, NC State University, Raleigh, NC, 2004.
85. R.S. Prasher, P. Bhattacharya, P.E. Phelan, Thermal conductivity of nano scale colloidal solution, Phys. Rev. Lett. 94 (2005) 025901.
86. S.P. Jang, S.U.S. Choi, The role of Brownian motion in the enhanced thermal conductivity of nanofluids, Appl. Phys. Lett. 84 (2004) 4316-4318.
87. J. Li, Computational analysis of nanofluid flow in micro channels with applications to micro-heat sinks and bio-MEMS, PhD Thesis, NC State University, Raleigh, NC, United States, 2008.
88. S. Uchida, H. Aoki, Unsteady flows in a semi-infinite contracting or expanding pipe, J. Fluid Mech. 82 (1977) 371-387.
89. C.E. Dauenhauer, J. Majdalani, Exact self-similarity solution of the Navier-Stokes equations for a porous channel with orthogonally moving walls, Phys. Fluids 151 (2003) 485-495.
90. J. Majdalani, C. Zhou, C.A. Dawson, Two-dimensional viscous flows between slowly expanding or contracting walls with weak permeability, J. Biomech. 35 (2002) 1399-1403.
91. J. Majdalani, C. Zhou, Moderate-to-large injection and suction driven channel flows with expanding and contracting walls, ZAMM. Z. Angew. Math. Mech. 83 (2003) 181-196.
92. Si Xinhui, Zheng Liancun, Zhang Xinxin, Yang Jianhong, Homotopy analysis method for the heat transfer in a asymmetric porous channel with an expanding or contracting wall, Appl. Math. Model. 35 (2011)