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Free convection around a slender paraboloid of non-Newtonian fluid in a porous medium

ABSTRACT
This paper emphasizes the radiative heat transfer of non-Newtonian fluid on free convection around a slender paraboloid in a non-Darcy porous medium. The Ostwald-de Waele power-law representation is employed to express the non-Newtonian behaviour of fluid. Similarity analysis is applied to transform the set of non-dimensional PDEs into set of ODEs and then the resulting system of equations are solved by 4th order Runge-Kutta scheme with Shooting technique. The control of pertinent parameters on velocity, temperature and non-dimensional heat transfer rates are analyzed through graphical representation and explored in detail. It is evident that as the radius of the slender body increases the heat transfer coefficient decreases but the role of radiation on heat transfer rate getting reduced for all feasible values of the power-law index parameter.
KEYWORDS
PAPER SUBMITTED: 2017-08-09
PAPER REVISED: 2018-01-02
PAPER ACCEPTED: 2018-01-19
PUBLISHED ONLINE: 2018-02-18
DOI REFERENCE: https://doi.org/10.2298/TSCI170809005K
REFERENCES
  1. Chen, H. T. and Chen, C. K.: Natural convection of a non-Newtonian fluid about a horizontal cylinder and sphere in a porous medium, International Communications in Heat and Mass Transfer 15 (1988), pp. 605-614.
  2. Chen, H. T. and Chen, C. K.: Natural convection of non-Newtonian fluids along a vertical plate embedded in a porous medium, ASME Journal of Heat Transfer, 110 (1988), pp. 257 -260.
  3. Mohanty, H. K.: Similarity solutions of unsteady laminar, incompressible boundary layer equations for flow, heat and mass transfer in non-Newtonian fluids around axisymmetric bodies, Rheological Acta, 17 (1978), 4, pp. 342-352.
  4. Nakayama, A .and Koyama, H.: Buoyancy induced flow of non-Newtonian fluids over a nonisothermal body of arbitrary shape in a fluid-saturated porous medium, Applied Scientific Research, 48 (1991), pp. 55-70.
  5. Nakayama, A. and Koyama, H.: Free convective heat transfer over a non-isothermal body of arbitrary shape embedded in a fluid saturated porous medium, ASME Journal of Heat Transfer, 109 (1987), pp. 125 -130
  6. Lai, F. C., Choi, C. Y. and Kulacki, F. A.: Coupled Heat and mass transfer by natural convection from a slender bodies of revolution in porous media, International Communications in Heat and Mass Transfer, 17 (1990), pp. 609-620.
  7. Singh, B. B. and Chandarki, I. M.: Integral treatment of coupled heat and mass transfer by natural convection from a cylinder in porous media, International Communications in Heat and Mass Transfer, 36 (2009), pp. 269-273.
  8. Shenoy, A. V.: Darcy-Forchheimer natural, forced and mixed convection heat transfer in non- Newtonian power-law fluid -saturated porous media, Transport in Porous Media, 11(1993), pp. 219- 241.
  9. Raptis, A.: Radiation and free convection flow through a porous medium, International Communications in Heat and Mass Transfer, 25 (1998), pp. 289-295.
  10. Mohammadein, A. A. and El-Amin, M. F.: Thermal radiation effect on power law fluid over a Horizontal plate embedded in a porous medium, International Communications in Heat and Mass Transfer, 27 (2000), pp. 1025-1035.
  11. Shenoy, A.V.: Non-Newtonian fluid heat transfer in porous media, Advances in Heat Transfer, 24(1994), pp. 102-184.
  12. Bejan, A.: Convective Heat Transfer, Wiley, New York, 1984, pp.343-416.
  13. Christopher, R. H. and Middleman, S.: Power-law fluid flow through a packed tube, Ind. Eng. Chem. Fundamentals, 4(1965), pp. 422-426.
  14. Dharmadhikari, R. V. and Kale, D. D.: The flow of non-Newtonian fluids through porous media, Chemical Engineering Science, 40 (1985), pp. 527-529.
  15. Datti, P. S. and Prasad, K. V.: Non-Newtonian Power-law fluid flow and heat transfer in a porous medium over a nonisothermal stretching sheet, International Journal of Fluid Mechanics Research, 35 (2008), 5, pp. 417-433.
  16. Babu, M. J. and Sandeep, N.: MHD non-Newtonian fluid flow over a slendering stretching sheet in the presence of cross-diffusion effects, Alexandria Engineering Journal, 55 (2016), 3, pp. 2193-2201.
  17. Reddy, J. R., Sugunamma, V. and Sandeep, N.: Effect of frictional heating on radiative ferrofluid flow over a slendering stretching sheet with aligned magnetic field, The European Physical Journal Plus, 132, (2017), 7. (doi.org/10.1140/epjp/i2017-11287-1)
  18. Reddy, J. R., Sugunamma, V. and Sandeep, N.: Enhanced heat transfer in the flow of dissipative non-Newtonian Casson fluid flow over a convectively heated upper surface of a paraboloid revolution, Journal of Molecular Liquids, 229 (2017), pp. 380-388.