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In this paper, we present the numerical results for the unsteady axisymmetric flow and heat transfer of Carreau fluid induced by time dependent permeable radially stretching surface. Numerical results are demonstrated for both shear thinning and shear thickening fluids. The time dependent non-linear PDE of the considered problem are reduced into non-linear ODE with the aid of suitable transformations. An effective numerical technique namely bvp4c function in MATLAB is employed to construct the numerical solutions of the transformed non-linear ODE for the velocity and temperature fields. Numerical computations of the local skin-friction coefficient and local Nusselt number are tabulated for steady and unsteady flows of shear thinning fluid as well as shear thickening fluid. It is worth mentioning that the magnitude of the skin friction coefficient and local Nusselt number for the steady flow is less than that for unsteady flow.
PAPER REVISED: 2017-03-31
PAPER ACCEPTED: 2017-05-20
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THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Issue 6, PAGES [2859 - 2869]
  1. B.C. Sakiadis, Boundary layer behavior on continuous solid surface: 1. Boundary layer equations for two-dimensional and axisymmetric flow, AIChE J., 7 (1961) 26-28.
  2. P.D. Ariel, Axisymmetric flow of a second grade fluid past a stretching sheet, Int. J. Eng. Sci., 39 (2001) 529-553.
  3. P.D. Ariel, Axisymmetric flow due to a stretching sheet with partial slip, Comput. Math. Appl., 54 (2007) 1169-1183.
  4. R.R. Martins, F.S. Silveira, M.L. Martins-Costa and S. Frey, Numerical investigation of inertia and shear thinning effect in axisymmetric flows Carreau fluids by a Galerkin Least Squares Method, Lat. Amer. Appl. Res., 38 (2008) 321-328.
  5. M.M. Rashidi, H. Shahmohamadi and S. Dinarvand, Analytic approximate solutions for unsteady two-dimensional and axisymmetric squeezing flows between parallel plates, Math. Probl. Eng., Doi: 10.1155 (2008) 935095.
  6. M. Sajid, I. Ahmad, T. Hayat and M. Ayub, Series solution for unsteady axisymmetric flow and heat transfer over a radially stretching sheet, Commun. Nonlinear Sci. Numer. Simulat., 13 ( 2008) 2193- 2202.
  7. B. Sahoo, Effects of slip viscous dissipation and Joul heating on the MHD flow and heat transfer of a second grade fluid past a radially stretching sheet, Appl. Math. Mech. Engl. Ed., 31 (2010) 159-173.
  8. P.J. Carreau, Rheological equations from molecular network theories, Trans. Soc. Rheol, 116 (1972) 99-127.
  9. M. Khan and A. Shahzad, On axisymmetric flow of Sisko fluid over a radially stretching sheet, Int. J. Non-Lin. Mech., 47 (2012) 999-1007.
  10. O.D. Makinde, F. Mabood, W.A. Khan and M.S. Tshehla, MHD flow of a variable viscosity nanofluid over a radially stretching convective surface with radiative heat, J. Mol. Liq., 219 (2016) 624-630.
  11. A. Pantokratoras, Non-similar Blasius and Sakiadis flow of a non-Newtonian Carreau fluid, J. Tai. Inst. Chem. Eng., 56 (2015) 1-5.
  12. C. Fetecau, Q. Rubab, S. Akhtar and C. Fetecau, New methods to provide exact solutions for some unidirectional motions of rate type fluids, Ther. Sci., DOI: 10.2298/TSCI130225130F.
  13. M. Khan, M. Azam and A.S. Alshomrani, Effects of melting and heat generation/absorption on unsteady Falkner-Skan flow of Carreau nanofluid over a wedge, Int. J. Heat Mass Transf., 110 (2017) 437 - 446.
  14. G. Singh and O.D. Makinde, Mixed convection slip flow with temperature jump along a moving plate in presence of free stream, Ther. Sci., 19(1) (2015) 119-128.
  15. J. Ahmad, T. Mahmood, Z. Iqbal, A. Shahzad and R. Ali, Axisymmetric flow and heat transfer over an unsteady stretching sheet in power law fluid, J. Mol. Liq., 221 (2016) 386-393.
  16. S. Shateyi and O.D. Makinde, Hydromagnetic stagnation-point flow towards a radially stretching convectively heated disk, Hind. Pub. Corp. Math. Prob. Eng., 10.1155/ 2013/ 616947.
  17. D. Vieru, C. Fetecau and C. Fetecau, Time-fractional free convection flow near a vertical plate with Newtonian heating and mass diffusion, Therm. Sci., 19(1) (2015) 85-98.
  18. O.D. Makinde, Computational modelling of nanofluids flow over a convectively heated unsteady stretching sheet, Current Nanoscience, 9 (2013) 673-678.
  19. W.A. Khan, J.R. Culham and O.D. Makinde, Combined heat and mass transfer of third-grade nanofluids over a convectively-heated stretching permeable surface, Canad. J. Chem. Eng., 93 (10) (2015) 1880-1888.
  20. M. Khan and M. Azam, Unsteady heat and mass transfer mechanisms in MHD Carreau nanofluid flow, J. Mol. Liq., 225 (2017) 554-562.
  21. M. Khan and M. Azam, Unsteady boundary layer flow of Carreau fluid over a permeable stretching surface, Results Phy., 6 (2016) 1168-1174.
  22. Shampine and L.F. Kierzenka, "Solving boundary value problems for ordinary differential equations in Matlab with bvp4c", Tutorial Notes (2000).

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