INVESTIGATION OF HEAT TRANSFER OF NON-NEWTONIAN FLUID IN THE PRESENCE OF A POROUS WALL
Keywords:Non-Newtonian Fluid, Reynolds number, Prandtl number, Porous Media, permeability parameter
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.
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
How to Cite
License and Copyright Agreement
In submitting the manuscript to the journal, the authors certify that:
- They are authorized by their co-authors to enter into these arrangements.
- The work described has not been formally published before, except in the form of an abstract or as part of a published lecture, review, thesis, or overlay journal.
- That it is not under consideration for publication elsewhere.
- That its release has been approved by all the author(s) and by the responsible authorities – tacitly or explicitly – of the institutes where the work has been carried out.
- They secure the right to reproduce any material that has already been published or copyrighted elsewhere.
- They agree to the following license and copyright agreement.
Authors who publish with International Journal of Engineering Technologies and Management Research agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License (CC BY-SA 4.0) that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors can enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or edit it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) before and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
For More info, please visit CopyRight Section