Natural convection on heat transfer flow of non-newtonian second grade fluid over horizontal circular cylinder with thermal radiation

Authors

  • V. Ramachandra Prasad Madanapalle Institute of Technology and Science, Madanapalle
  • R. Bhuvanavijaya Jawaharlal Nehru Technological University Anantapur
  • Mallikarjuna Bandaru BMS College of Engineering, Banglalore

DOI:

https://doi.org/10.3329/jname.v13i1.20703

Keywords:

Non-Newtonian fluid, Second Grade fluid, Thermal Radiation, Prandtl number, Skin friction, Nusselt Number, Keller Box Scheme

Abstract

This article numerically studies for multi-physical transport of an optically-dense, free convective incompressible non-Newtonian second grade fluid past an isothermal, impermeable horizontal circular cylinder. The governing boundary layer equations for momentum and energy transport, which are parabolic in nature, have been reduced to non-similarity non-linear conservation equations using appropriate transformations and then solved numerically by employing with most validated, efficient implicit finite difference method with Keller box scheme. The numerical code is validated with previously existing results and found to be very good agreement. The results are reported graphically and in tabular form for various physical parameters; Deborah number, Prandtl number and thermal radiation on flow velocity and temperature profiles. Furthermore, the effects of these parameters on non dimensional wall shear stress (skin friction) and surface heat transfer rate (Nusselt number) are also investigated. Increasing the Deborah number reduces velocity profile, skin friction and Nusselt number where as it enhances the temperature profile. Increasing Prandtl number decelerates the flow velocity, temperature and skin friction but Nusselt number enhances considerably. Increase in radiation parameter retards the flow velocity, temperature profiles and skin friction. But Nusselt number enhances markedly with increase in radiation parameter. Applications of the model arise in polymer processing in chemical engineering, metallurgical material processing.

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Author Biography

Mallikarjuna Bandaru, BMS College of Engineering, Banglalore

Mathematics Department

References

Beard, D.W. and Walter, K. (1964): Elastico viscous boundary layer flows. Proceedings of the Cambridge Philosophil Society. Vol. 60, pp. 667-674.

Cebeci, T. and Bradshaw, P. (1984): Physical and Computational Aspects of Convective Heat Transfer, Springer-Verlin publication.

Cheng, C.Y. (2009): Natural convection heat transfer from a horizontal isothermal elliptical cylinder with internal heat generation. International Communications in Heat and Mass Transfer, Vol. 36, pp. 346-350. DOI: 10.1016/j.icheatmasstransfer.2009.01.004

Fosdick, R.L. and Rajagopal, K.R. (1979): Anomalous features in the model of second order fluids, Arch. Rational. Mech. Anal., Vol. 70, pp. 145-152. DOI: 10.1007/BF00250351

Hayat, T, Abbas, Z, Sajid, M. and Asghar, S. (2007): The influence of thermal radiation on MHD flow of a second grade fluid. International Journal of Heat and Mass Transfer, Vol. 50, pp. 931-941. DOI: 10.1016/j.ijheatmasstransfer.2006.08.014

Hayat, T. and Qasim, M. (2011): Radiation and magnetic field effects on the unsteady mixed convection flow of a second grade fluid over a vertical stretching sheet. International Journal For Numerical Methods in Fluids, Vol. 66, pp. 820-832. DOI: 10.1002/fld.2285

Huang, M.J. and Chen, C.K. (1987): Laminar free convection from a sphere with blowing and suction. Journal of Heat Transfer, Vol. 109, pp. 529-532. DOI: 10.1115/1.3248117

Mahmoud, M.A.E.H. (2008): Slip effects on flow and heat transfer of a non-Newtonian fluid on a stretching surface with thermal radiation. International Journal of Chemical Reactor Engineering, Vol. 6, pp. 1-20. DOI: 10.2202/1542-6580.1792

Mohammed, H.A. and Salman, Y.K. (2007): Experimental investigation of mixed convection heat transfer for thermally developing flow in a horizontal circular cylinder. Applied Thermal Engineering, Vol. 27, pp.1522-1533. DOI: 10.1016/j.applthermaleng.2006.09.023

Molla, M.M. Hossain, M.A. and Goral, R.S.R. (2005): Natural convection flow from an isothermal horizontal circular cylinder with temperature dependent viscosity. Heat and Mass Transfer, Vol. 41, pp. 594-598. DOI: 10.1007/s00231-004-0576-7

Na, T.Y. (1979): Computational Methods in Engineering Boundary Value Problems. Academic Press, New-york.

Nadeem, S., Rehman, A., Lee, C., and Lee, J. (2012): Boundary layer flow of Second grade fluid in a cylinder with heat transfer. Mathematical Problems in Engineering, Article ID 640289, 13 pages. http://dx.doi.org/10.1155/2012/640289

Prasad, V.R. Subba Rao, A. and Anwar Beg, O. (2013): Flow and heat transfer of Casson fluid from a horizontal circular cylinder with partial slip in non-Darcy porous medium. Applied & Computational Mathematics, Vol. 2, Issue. 2, pp. 1-12. http://dx.doi.org/10.4172/2168-9679.1000127

Rivlin, R.S. and Ericksen, J.L. (1995): Stress deformation relations for isotropic materials. J. Rat. Mech. Anal. Vol. 4, pp. 323-425. DOI: 10.1007/978-1-4612-2416-7_61.

Seddeek, M.A. (2006): Finite element method for the effect of various injection parameters on heat transfer for a power law non-Newtonian fluid over continues stretched surface with thermal radiation. Computation Material Science, Vol. 37 pp.624-627. DOI: 10.1016/j.commatsci.2006.01.002

Siddheshwar, P.G. and Mahabaleswar, U.S. (2005): Effect of radiation and heat source on MHD flow of a viscoelastic liquid and heat transfer over a stretching sheet. International Journal of nonlinear mechanics, Vol. 40, pp. 807-820. DOI: 10.1016/j.ijnonlinmec.2004.04.006

Tai, B.C. and Char, M.I. (2010): Soret and Dufour effects on free convection flow of non-Newtonian fluids along a vertical plate embedded in a porous medium with thermal radiation. International Communications in Heat and Mass Transfer, Vol. 37, pp. 480-483. DOI: 10.1016/j.icheatmasstransfer.2009.12.017

Vasu, B., Prasad, V.R., Bhaskar Reddy, N. and Anwar Beg. O. (2010): Computational analysis of free convection heat and mass transfer from an isothermal horizontal circular cylinder in a micropolar fluid with Soret/Dufour effects. Proceedings of 37th National & 4th International conference on Fluid Mechanics and Fluid Power, Dec-16-18, IIT Madras, India.

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Published

15.06.2016

How to Cite

Prasad, V. R., Bhuvanavijaya, R., & Bandaru, M. (2016). Natural convection on heat transfer flow of non-newtonian second grade fluid over horizontal circular cylinder with thermal radiation. Journal of Naval Architecture and Marine Engineering, 13(1), 63–78. https://doi.org/10.3329/jname.v13i1.20703

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