INVESTIGATION OF HEAT TRANSFER OF NON-NEWTONIAN FLUID IN THE PRESENCE OF A POROUS WALL
DOI:
https://doi.org/10.29121/ijetmr.v4.i12.2017.137Keywords:
Non-Newtonian Fluid, Reynolds number, Prandtl number, Porous Media, permeability parameterAbstract
This study deals the investigation of heat transfer of non-Newtonian fluid in the presence of a porous bounding wall. Perturbation method is applied for the solution of non-linear differential equation. The main focus of this paper is to investigate the effects of parameters such as Reynolds number Re, Prandtl number Pr, permeability parameter K and n in the velocity of fluid and temperature coefficient. For fulfilling the purpose Matlab software has been used. The results show that velocity of non-Newtonian increases with increase of Reynolds number Re and temperature increases with increases of Prandtl number Pr.
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References
R. S. Rivlin, (1955); ‘Plane strain of a net formed by inextensible cords.’ Jour. of Rational Mech. Anal 4, pp. 323. DOI: https://doi.org/10.1512/iumj.1955.4.54037
R. H. Christopher and S. Middleman, (1965); ‘Power-law flow through a packed tube.’ I & EC Fundamentals, Vol. 4, pp. 422-426. DOI: https://doi.org/10.1021/i160016a011
F. G. Blottner, (1970); ‘Finite-difference methods of solution of the boundary-layer equations.’ AIAA Journal, Vol. 8, pp. 193-205. DOI: https://doi.org/10.2514/3.5642
A. J. Chamkha, (1977); ‘Similarity solution for thermal boundary layer on a stretched surface of a non-Newtonian fluid.’ International Communications in Heat and Mass Transfer, vol. 24, pp. 643-652.
R. V. Dharmadhikari and D.D. Kale, (19850; ‘Flow of non-Newtonian fluids through porous media.’ Chemical Eng. Sci., Vol. 40, pp. 527 – 529. DOI: https://doi.org/10.1016/0009-2509(85)85113-7
H. T. Chen and C.K. Chen, (1988); ‘Free convection of non- Newtonian fluids along a vertical plate embedded in a porous medium.’ Trans. ASME, J. Heat Transfer, Vol. 110, pp. 257 – 260. DOI: https://doi.org/10.1115/1.3250462
Wang Chaoyang and Tu Chuanjing, (1989); ‘Boundary-layer flow and heat transfer of nonNewtonian fluids in porous media.’ Int. d. Heat and Fluid Flow, Vol. 10, No. 2, pp.160 – 165. DOI: https://doi.org/10.1016/0142-727X(89)90011-8
W.B. Hooper, T.S. Chen and B.F., (1993); ‘Armaly mixed convection from a vertical plate in porous media with surface injection or suction.’ Numer. Heat Transfer, Vol. 25, pp. 317 – 329.
Choi, S. U. S., (1995); ‘Enhancing thermal conductivity of fluids with nanoparticles in developments and applications of non-Newtonian flows.’ ASME, FED-vol. 231/MD-vol. 66, pp. 99 – 105.
Das, U. N, Deka, R. K. and Soundalgekar, V. M. (1996); ‘Radiation effects on flow past an impulsively started infinite isothermal plate.’ Journal of Theoretical Mechanics, Vol. 1, pp. 111 – 115.
K.A. Yih, (1998); ‘Coupled heat and mass transfer in mixed convection over a wedge with variable wall temperature and concentration in porous media: The entire regime.’ Int. Commun. Heat Mass Transfer, Vol. 25, pp. 1145 – 1158. DOI: https://doi.org/10.1016/S0735-1933(98)00105-5
Magyari, E., and Keller, B., (1999); ‘Heat and mass transfer in the boundary layers on an exponentially stretching continuous surface.’ Journal of Physics D, Vol. 32, No. 5, pp. 577 – 585. DOI: https://doi.org/10.1088/0022-3727/32/5/012
K.A. Yih, (2001); ‘Radiation effects on mixed convection over an isothermal wedge in the porous media: The entire regime.’ Heat Transfer Engineering, Vol. 22, pp. 26 – 32. DOI: https://doi.org/10.1080/014576301300092540
Wang C. Y. (2002); ‘Flow due to a stretching boundary with partial slip: an exact solution of the navier–stokes equations.’ Acta Mechanica, Vol. 57, pp. 3745. DOI: https://doi.org/10.1016/S0009-2509(02)00267-1
Ingham, D. B., Bejan, A., Mamut, E. and Pop, I. (2004); ‘Emerging Technologies and Techniquesin Porous Media. Kluwer, Dordrecht, Plate with time dependant temperature and concentration.’ International Journal of Pure and Applied Mathematics, Vol. 23, pp. 759 – 766.
Aboeldahab, E. M. and El-Din, A. G., (2005); ‘Thermal radiation effects on MHD flow past a semi-infinite inclined plate in the presence of mass diffusion.’ Heat and Mass Transfer, Vol. 41(12), pp. 1056 – 1065. DOI: https://doi.org/10.1007/s00231-005-0660-7
Mahmoud M. A. A., Mahmoud M. A. E., (2006); ‘Analytical solutions of hydro magnetic boundary layer flow of a non-Newtonian power law fluid past a continuously moving surface.’ Acta Mechanica Vol. 181, pp. 83 – 89. DOI: https://doi.org/10.1007/s00707-005-0268-5
V. Marinca, N. Herisanu, (2008); ‘Optimal homotopy asymptotic method with application to thin film flow.’ Central European Journal of physics Vol. 6, pp. 1608 – 1644. DOI: https://doi.org/10.2478/s11534-008-0061-x
Cheng C. Y., (2009); ‘Combined heat and mass transfer in natural convection flow from a vertical wavy surface in a power-law fluid saturated porous medium with thermal and mass stratification.’ International Communications in Heat and Mass Transfer, Vol. 36, pp. 351 – 356. DOI: https://doi.org/10.1016/j.icheatmasstransfer.2009.01.003
H. C. Suratiand M. G. Timol, (2010); ‘Numerical Study Of Forced Convection Wedge Flow Of Some Non-Newtonian Fluids.’ International Journal of Applied Mathematics and Mechanics, Vol. 6, no.18, pp. 50 – 65.
Bhattacharyya K., Mukhopadhyay S., Layek G. C., (2011); ‘Steady boundary layer slip flow and heat transfer over a flat porous plate embedded in a porous media.’ Journal of Petroleum Science and Engineering Vol. 78, p 304. DOI: https://doi.org/10.1016/j.petrol.2011.06.009
D. D. Ganji, M. Sheikholeslami, H. R. Ashorynejad, M. Zadsar & M. Esfandyaripour, (2011);‘Analytical heat transfer investigation of non-Newtonian fluid flow in an axisymmetric channel with a porous wall.’ International Journal of non-linear dynamics in engineering and sciences, Vol. 3, Issue 1, pp. 103 – 110.
M. B. K. Moorthy and K. Senthilvadivu, (2012); ‘Effect of variable viscosity on free flow of nonNewtonian power law fluids along a vertical surface with thermal stratification.’ Archives of Thermodynamics, Vol. 33, pp. 109 – 121.
Shyam R, Sasmal C, Chhabra R. P., (2013); ‘Natural convection heat transfer from two vertically aligned circular cylinders in power-law fluids.’ International Journal of Heat and Mass Transfer Vol. 64, pp. 1127 – 1152. DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2013.05.052
Hajmohammadi M. R., Nourazar S. S., (2014); ‘Conjugate forced convection heat transfer from a heated flat plate of finite thickness and temperature-dependent thermal conductivity.’ Heat Transfer Engineering Vol. 35, pp. 863 – 874. DOI: https://doi.org/10.1080/01457632.2014.852896
Sharma, R, Ishak, A., (2014); ‘Second order slips flow of cu-water nano fluid over a stretching sheet with heat transfer.’ WSEAS Trans. Fluid Mech, Vol. 9, pp. 26 – 33.
Hayat T, Hussain M, Alsaedi A, Shehzad SA, Chen GQ (2015) Flow of power-law nanofluid over a stretching surface with Newtonian heating. Journal of Applied Fluid Mechanics 8: 273 DOI: https://doi.org/10.18869/acadpub.jafm.67.221.22846
Ram Reddy, Ch, Pradeepa, T. and Srinivasacharya, D., (2015); ‘Similarity Solution for Free Convection Flow of a Micropolar Fluid under Convective Boundary Condition via Lie Scaling Group Transformations.’ Hindawi Publishing Corporation, Advances in High Energy Physics, Vol. 2015, Article ID 650813
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