International Scientific Journal

Thermal Science - Online First

online first only

Axisymmetric stagnation-point flow and heat transfer of nano-fluid impinging on a cylinder with constant wall heat flux

The steady-state, viscous flow and heat transfer of Nano-fluid in the vicinity of an axisymmetric stagnation point of a stationary cylinder with constant wall haet flux is investigated. The impinging free-stream is steady and with a constant strain rate k¯. Exact solution of the Navier-Stokes equations and energy equation are derived in this problem. A reduction of these equations is obtained by use of appropriate transformations introduced in this research. The general self-similar solution is obtained when the wall heat flux of the cylinder is constant. All the solutions above are presented for Reynolds numbers Re=k¯a2/2υf ranging from 0.1 to 1000, selected values of heat flux and selected values of particle fractions where is cylinder radius and is kinematic viscosity of the base fluid. For all Reynolds numbers, as the particle fraction increases, the depth of diffusion of the fluid velocity field in radial direction, the depth of the diffusion of the fluid velocity field in z-direction, shear-stresses and pressure function decreases. However, the depth of diffusion of the thermal boundary layer increases. It's clear by adding nanoparticles to the base fluid there is a significant enhancement in Nusselt Number and heat transfer.
PAPER REVISED: 2018-02-04
PAPER ACCEPTED: 2018-02-06
  1. Sheikholeslami M and Shehzad S.A, Numerical analysis of Fe3O4-H2O nano-fluid flow in permeable media under the effect of external magnetic source, International Journal of Heat and Mass Transfer, 118 (2018), pp 182-192.
  2. Sheikholeslami M and Seyednezhad M, Simulation of nano-fluid flow and natural convection in a porous media under the influence of electric field using CVFEM, International Journal of Heat and Mass Transfer, 120 (2018), pp.772-781.
  3. Sheikholeslami M, CuO-water nano-fluid flow due to magnetic field inside a porous media considering Brownian motion, Journal of Molecular Liquids, 249 (2018), pp. 921-929.
  4. Sheikholeslami M, Shamlooei M, Moradi R, Numerical simulation for heat transfer intensification of nanofluid in a porous curved enclosure considering shape effect of Fe3O4 nanoparticles, Chemical Engineering and Processing: Process Intensification, 124 (2018), pp.71-82.
  5. Sheikholeslami M, Magnetic field influence on nanofluid thermal radiation in a cavity with tilted elliptic inner cylinder, Journal of Molecular Liquids, 229(2017), pp.137-147.
  6. Hiemenz K, Die Grenzchicht an einem in den gleichformingen Flussigkeitsstrom eingetauchten geraden, Kreiszylinder. Dinglers Polytech. J, 326 (1911), pp.321-410.
  7. Wang C, Axisymmetric stagnation flow on a cylinder. Quarterly of Applied Mathematics, 32(1974),2, pp.207-213.
  8. Gorla RSR, Unsteady laminar axisymmetric stagnation flow over a circular cylinder, Dev. Mech, 9(1977), pp.286-288.
  9. Gorla RSR, Nonsimilar axisymmetric stagnation flow on a moving cylinder, Int. J. Engineering Science. 16(1978), 6, pp.397-400.
  10. Gorla RSR, Transient response behavior of an axisymmetric stagnation flow on a circular cylinder due to time dependent free stream velocity, Int. J. Engng. Sci, 16 (1978),7, pp.493- 502.
  11. Gorla RSR, Unsteady viscous flow in the vicinity of an axisymmetric stagnation-point on a cylinder, Int. J. Engng. Sci, 17(1979), 1, pp.87-93.
  12. Mohammadiun H and Rahimi AB, Stagnation-Point Flow and Heat Transfer of a Viscous, Compressible Fluid on a Cylinder, Journal of Thermophysics and Heat Transfer, 26(2012), 3, pp.494-502.
  13. Rahimi AB, Mohammadiun H and Mohammadiun M, Axisymmetric stagnation flow and heat transfer of a compressible fluid impinging on a cylinder moving axially, J. Heat Transfer, 138(2016) ,2, 022201.
  14. Mohammadiun H, Amerin V, Mohammadiun M and Rahimi AB, Similarity Solution of Axisymmetric Stagnation-Point Flowand Heat Transfer of a Nano-fluid on a Stationary Cylinderwith Constant Wall Temperature, Iran J Sci Technol Trans Mech Eng, 41(2017) ,1, pp.91-95.
  15. Shateyi S and Mabood F, MHD mixed convection slip flow near a stagnation-point on a nonlinearly vertical stretching sheet in the presence of viscous dissipation, Thermal Science, (2015), 00, pp. 219-219.
  16. Mahmood K, Sajid M, Ali N and Javed T, Heat transfer analysis in the time-dependent axisymmetric stagnation point flow over a lubricated surface, Thermal Science, (2016), 00, pp. 257-257.
  17. Amirsom N, Uddin M. J, and Izani A, Electro magneto convective stagnation point flow of bionano-fluid with melting heat transfer and Stefan blowing, Thermal Science, (2017), 00, pp. 134-134.
  18. Shouguang Y, Tao H, Kai Z, Jianbang Z and Shuhua W, Simulation of flow boiling of nano-fluid in tube based on LBM, Thermal Science, (2017) , 00, pp. 6-6.
  19. Corcione M, Empirical-correlating equations for predicting the effective thermal conductivity and dynamic viscosity of nano-fluid s, Ene. Convers. Manage, 52(2011), 1, pp.789-793.
  20. Press WH, Flannery BP, Teukolsky SA and Vetterling WT, Numerical Recipes: The Art of Scientific Computing. Cambridge Univ. Press, New York, (1997), 548.
  21. Gorla RSR, Heat Transfer in an Axisymmetric Stagnation Flow on a Cylinder, Applied Scientific Research, 32(1976) ,5, pp.541-553.