Vol. 11 No. 3 (2012): Mapana Journal of Sciences
Research Articles

Nanofluid Flow over a Rotating Disk with Prescribed Heat Flux

  • Julie Andrews,
  • S P Anjali Devi
Julie Andrews
Department of Mathematics, Mercy College, Palakkad-6, India.
S P Anjali Devi
Department of Applied Mathematics, Bharathiar University, Coimbatore-46.India
DOI: https://doi.org/10.12723/mjs.22.4

Published 2012-07-22

Keywords

  • Nanofluid,
  • rotating disk,
  • prescribed heat flux,
  • Laminar and axially symmetric flow.

Abstract

An analysis is carried out to study the problem of the steady flow and heat transfer over a rotating disk with a prescribed heat flux in nanofluid. Nanofluid considered is Copper (Cu) with water as the base fluid. The governing partial differential equations are transformed into a set of nonlinear ordinary differential equations using similarity transformation, which are then solved using the Nachtsheim-Swigert Shooting iteration technique along with the fourth order Runga Kutta method. The features of the flow and heat transfer characteristics are analyzed and discussed. The radial velocity, tangential velocity and the axial velocity for copper-water nanofluid are calculated and are represented graphically. Numerical results for dimensionless temperature, the radial skin friction coefficient and the tangential skin friction coefficient of the nanofluid flows are obtained and computations are carried out for the various values of Prandtl number. It is found that for the prescribed heat flux case (PHF case), the effect of Prandtl number is to reduce the temperature as it increases for copper-water nanofluid.

References

  1. J Herrero, J A C Humphrey and F Giralt, Comparative analysis of coupled flow and heat transfer between corotating discs in rotating and fixed cylindrical enclosures, ASME J. Heat Transfer, vol. 300, pp. 111-121, 1994.
  2. J M Owen and R H Rogers, Flow and heat transfer in rotating disc system, rotor–stator system, vol. 1, Research Studies, Taunton, UK and Wiley, New York, 1989.
  3. T von Karman, Über laminare and turbulente Reibung, Z. Angew. Math. Mech., vol. 1, pp. 233-255, 1921.
  4. K Millsaps and K Pohlhausen, Heat transfer by a laminar flow from a rotating plate, J. Aeronautical Science, vol. 19, pp. 120-126, 1952.
  5. S Ostrach and P R Thornton, Compressible laminar flow and heat transfer about a rotating isothermal disc, NACA Technical Note, 4320, 1958.
  6. E M Sparrow and J L Gregg, Heat transfer from a rotating disc to a fluid any Prandtl number, ASME J. Heat Tranfer C, vol. 81, pp. 249-251, 1959.
  7. M H Rogers and G N Lance, The rotationally symmetric flow of a viscous fluid in presence of infinite rotating disc, J. Fluid Mechanics, vol. 7, pp. 617-631, 1960.
  8. P D Richardson and O A Saunders, Studies of Flow and Heat Transfer Associated with a Rotating Disc, J. Mechanical Engineering Sciences, vol. 5, pp. 336-342, 1963.
  9. N Riley, The heat transfer from a rotating disc, Q. J. Mech. Appl. Math., vol. 17, pp. 331-349, 1964.
  10. R J Bodonyi, On rotationally symmetric flow above an infinite rotating disk, J. Fluid Mechanics, vol. 67, pp. 657-666, 1975.
  11. R Kamali and A R Binesh, Numerical investigation of heat transfer enhancement using carbon nanotube-based non-Newtonian nanofluids, Int. Commun. Heat Mass Transfer, vol. 37, pp. 1153-1157, 2010.
  12. X Q Wang and A S Mujumdar, Heat transfer characteristics of nanofluids: A review, Int. J. Thermal Sciences, vol. 46, pp. 1-19, 2007.
  13. S U S Choi, Enhancing Thermal Conductivity of Fluids with Nanoparticles, The Proceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition, San Francisco, USA, ASME, FED 231/MD, vol. 66, pp. 99–105, 1995.
  14. S K Das, S U S Choi, W Yu and T Pradeep, Nanofluids: Science and Technology, Wiley, New Jersey, 2007.
  15. E Abu-Nada and H F Oztop, Effects of inclination angle on natural convection in enclosures filled with Cu–water nanofluid, Int. J. Heat and Fluid Flow, vol. 30, pp. 669-678, 2009.
  16. R J Tiwari and M K Das, Heat transfer augmentation in a two-sided lid-driven differentially heated square cavity utilizing nanofluids, Int. J. Heat and Mass Transfer, vol. 50, pp. 2002-2018, 2007.
  17. S E B Maïga, S J Palm, C T Nguyen, G Roy and N Galanis, Heat transfer enhancement by using nanofluids in forced convection flows, Int. J. Heat and Fluid Flow, vol. 28, pp. 530-546, 2005.
  18. H E Patel, T Pradeep, T Sundarrajan, A Dasgupta, N Dasgupta and S K Das, A micro-convection model for thermal conductivity of nanofluids, Pramana—J. Physics, vol. 65, pp. 863-869, 2005.
  19. H C Brinkman, The viscosity of concentrated suspensions and solutions, J. Chemical Physics, vol. 20, pp. 571-581, 1952.
  20. A K Santra, S Sen and N Chakraborty, Study of heat transfer due to laminar flow of copper water nanofluid through two isothermally heat parallel plates, Int. J. Thermal Sciences, vol. 48, pp. 391-400, 2009.
  21. S P A Devi and R U Devi, On hydromagnetic flow due to a rotating disk with radiation effects, Nonlinear Analysis: Modelling and Control, vol. 16, pp. 17–29, 2011.