International Scientific Journal

Thermal Science - Online First

online first only

Three-dimensional and two-phase nanofluid flow and heat transfer analysis over a stretching infinite solar plate

In this work, three-dimensional and two-phase nanofluid flow and heat transfer is modeled over a stretching infinite solar plate. The governing equations are presented based on previous studies. The infinite boundary condition and shortcoming of traditional analytical Collocation Method have been overcome in our study by changing the problem into a finite boundary problem with a new analytical method called Optimal Collocation Method (OCM). The accuracy of results is examined by fourth order Runge-kutta numerical method. Effect of some parameters, Pr (Prandtl number), Sc (Schmidt number), Nb (Brownian motion parameter), Nt (Thermophoresis parameter), λ=b/a (ratio of the stretching rate along y to x directions) and n (power-law index), on the velocities, temperature and nanoparticles concentration functions are discussed. As an important outcome of our 3D model analysis, it is found that increase in thermophoretic forces can enhance the thickness of both thermal and nanoparticle volume fraction boundary layers.
PAPER REVISED: 2016-09-09
PAPER ACCEPTED: 2016-09-12
  1. Mahmoodi, M., et al., Free convection of nanofluid in a square cavity with heat source on the bottom wall and partially cooled from sides, Thermal Science,18(2014), pp.283-300.
  2. Chekerowska, M. et al., Efficiency of liquid flat-plate solar energy collector with solar tracking system, Thermal Science 19 (2015), pp.1673-1684.
  3. Jafarkazemi, F., et al., Energy and exergy efficiency of heat pipe evacuated tube solar collectors, Thermal Science, 20(2016), pp.327-335.
  4. Khan, J., et al., Three-dimensional flow of nanofluid over a non-linearly stretching sheet: An application to solar energy, Inter. J. Heat Mass Transfer, 86 (2015), pp.158-164.
  5. Cregan,V., et al.,Modelling the efficiency of a nanofluid direct absorption solar collector, Inter. J. Heat Mass Transfer, 90 (2015), pp.505-514.
  6. Turkyilmazoglu, M., Performance of direct absorption solar collector with nanofluid mixture, Energy Conver. Manag, 114 (2016), pp.1-10.
  7. Hatami, M., et al., Transient vertically motion of a soluble particle in a Newtonian fluid media, Powder Tech, 253(2014), pp.481-485.
  8. Hatami, M., et al., Motion of a spherical particle on a rotating parabola using Lagrangian and high accuracy Multistep Differential Transformation Method, Powder Tech, 258(2014), pp.94-98.
  9. Hatami, M., et al., Motion of a spherical particle in a fluid forced vortex by DQM and DTM, Particuology, 16(2014), pp.206-212.
  10. Dogonchi, A.S., et al., Motion analysis of a spherical solid particle in plane Couette Newtonian fluid flow, Powder Tech, 274(2015), pp.186-192.
  11. Fard,M.H., et al., Numerical study of convective heat transfer of nanofluids in a circular tube two-phase model versus single-phase model, Inter. Commun. Heat Mass Transfer, 37 (2010), pp.91-97.
  12. Göktepe,S., et al., Comparison of single and two-phase models for nanofluid convection at the entrance of a uniformly heated tube, Inter. J. Thermal Sci, 80 (2014), pp.83-92.
  13. Mohyud-Din, S.T., et al., On heat and mass transfer analysis for the flow of a nanofluid between rotating parallel plates, Aerosp. Sci. Technol, 46(2015), pp.514-522.
  14. T. Hayat, M. Imtiaz, A. Alsaedi, M. A. Kutbi, MHD three-dimensional flow of nanofluid with velocity slip and nonlinear thermal radiation, J. Magnet. Magnet. Mater, 396 (2015), pp.31-37.
  15. M. Hatami, D.D. Ganji, Thermal and flow analysis of microchannel heat sink (MCHS) cooled by Cu-water nanofluid using porous media approach and least square method, Energy Conver. Manag, 78 (2014), pp.347-358.
  16. M. Hatami, D.D. Ganji, Natural convection of sodium alginate (SA) non-Newtonian nanofluid flow between two vertical flat plates by analytical and numerical methods, Case Stud. Therm.Eng, 2(2014), pp.14-22.
  17. Pourmahmoud,N.,et al.,The effect of thermal radiation, heat generation and suction/injection on the mechanical properties of unsteady continuous moving cylinder in a nanofluid, Thermal Science,19(2015),5,pp1575-1590..
  18. Seiyed E. Ghasemi, M. Hatami, A. Kalani Sarokolaie, D.D. Ganji, Study on blood flow containing nanoparticles through porous arteries in presence of magnetic field using analytical methods, Physica E 70(2015), pp.146-156.
  19. Risi,A.D.,et al.,High efficiency nanofluid cooling system for wind turbines, Thermal Science,18(2014), 2, pp.543-554.
  20. M. Rahimi-Gorji, O. Pourmehran, M. Hatami, D. D. Ganji, Statistical optimization of microchannel heat sink (MCHS) geometry cooled by different nanofluids using RSM analysis, Euro. Phys. J. Plus 130 (2015), pp.1-21.
  21. G. Domairry, M. Hatami, Squeezing Cu-water nanofluid flow analysis between parallel plates by DTM-Padé Method, J. Mol. Liq, 193(2014), pp.37-44.
  22. A.R. Ahmadi, A. Zahmatkesh, M. Hatami, D.D. Ganji, A comprehensive analysis of the flow and heat transfer for a nanofluid over an unsteady stretching flat plate, Powder Tech, 258(2014), pp.125-133.
  23. M. N. Ozisik, Heat Conduction, second edition, John Wiley &Sons Inc, USA, 1993.
  24. R. H. Stern, H. Rasmussen, Left ventricular ejection: Model solution by collocation, an approximate analytical method, Comput. Boil. Med, 26 (1996), 255-261.
  25. B. Vaferi, V. Salimi, D. Dehghan Baniani, A. Jahanmiri, S. Khedri, Prediction of transient pressure response in the petroleum reservoirs using orthogonal collocation, J. Petrol. Sci. Eng, 98-99(2012), pp.156-163.
  26. M. Hatami, D.D. Ganji, Thermal behavior of longitudinal convective-radiative porous fins with different section shapes and ceramic materials (SiC and Si3N4), Ceramics Inter, 40(2014), pp.6765-6775.
  27. M. Hatami, D.D. Ganji, Investigation of refrigeration efficiency for fully wet circular porous fins with variable sections by combined heat and mass transfer analysis, Inter. J. Refriger, 40(2014), pp.140-151.
  28. M. Hatami, GH.R. Mehdizadeh Ahangar, D.D. Ganji, K. Boubaker, Refrigeration efficiency analysis for fully wet semi-spherical porous fins, Energy Conver. Manag, 84(2014), pp.533-540.
  29. S.E. Ghasemi, P. Valipour, M. Hatami, D.D. Ganji, Heat transfer study on solid and porous convective fins with temperature-dependent heat generation using efficient analytical method, J. Central South Univ, 21(2014), pp.4592-4598.
  30. S.Q. Gao, H.Y. Duan, Negative norm least-squares methods for the incompressible magneto-hydrodynamic equations, Act. Math. Sci, 28 B (3) (2008), pp. 675-684.
  31. Seiyed E. Ghasemi, M. Hatami, D.D. Ganji, Thermal analysis of convective fin with temperature-dependent thermal conductivity and heat generation, Case Stud. Therm. Eng, 4(2014), pp.1-8.
  32. A. Aziz, Heat conduction with Maple, Philadelphia (PA), R.T. Edwards, 2006.
  33. M. Hatami, M.C.M. Cuijpers, M.D. Boot, Experimental optimization of the vanes geometry for a variable geometry turbocharger (VGT) using a Design of Experiment (DoE) approach, Energy Conver. Manag, 106(2015), pp.1057-1070.
  34. A.V.Kuznetsov,D.A.Nield,Natural convective boundary-layer flow of a nanofluid past a vertical plate: a revised model,Int. J. Therm. Sci, 77(2014), pp. 126-129.
  35. M. Mustafa, J. A , Khan, T, Hayat, A. Alsaedi, Analytical and numerical solutions for axisymmetric flow of nanofluid due to non-linearly stretching sheet. Inter. J.Non-Linear Mech, 71(2015), pp.22-29.