Entropy Generation on MHD Flow and Heat Transfer of Non-Newtonian Fluid Flow Over a Non-Linear Radially Stretching Sheet

  • Authors

    • S. Sreenadh
    • V. Ramesh Babu
    • G. Gopi Krishna
    • S. R.Mishra
    • A. N.S.Srinivas
    https://doi.org/10.14419/ijet.v7i4.10.26776

    Received date: January 30, 2019

    Accepted date: January 30, 2019

    Published date: October 2, 2018

  • Axisymmetric flow, Heat transfer, Magnetic effect, Non-Newtonian fluid, Entropy generation.
  • Abstract

    An investigation is made for analyzing the behavior of MHD flow phenomena of a non-Newtonian fluid over a non-linear radially stretching sheet by using numerical technique. Magnetic field is considered in normal direction to the stretching sheet. With use of similarity transformations, the pdes are transformed into odes. The solution of theses odes are performed by using fourth order Runge - Kutta method along with shooting technique. The significance of different physical parameters characterizes the flow phenomena are analyzed with the use of graphs. The Jeffrey parameter  and magnetic parameter  has significant effect on velocity and temperature distribution over a non-linear stretching sheet. It is noticed that, the higher magnetic parameter results the increase in entropy generation number where the opposite nature is noticed in the case of Bejan number.

  • References

    1. Crane, L.J., “Flow past a stretching plate”. Z. Angew. Math. Phys., Vol. 21 (1970), pp. 645–655. https://doi.org/10.1007/BF01587695.
    2. Wang, C.Y., “The three-dimensional flow due to a stretching flat surface”. AIP Physics of Fluids, Vol. 27(8) (1984), pp. 1915–1917. https://doi.org/10.1063/1.864868.
    3. Ariel, P. D., “Axisymmetric flow due to a stretching sheet with par-tial slip”. Computers and Mathematics with Applications, Vol. 54 (7-8) (2007), pp. 1169-1183. https://doi.org/10.1016/j.camwa.2006.12.063.
    4. Alinejad, J. & Samarbakhsh, S. “Viscous flow over nonlinearly stretching sheet with effects of viscous dissipation”. Journal of Ap-plied Mathematics, Vol.10, Article ID: 587834 (2012). http://dx.doi.org/10.1155/2012/587834.
    5. Nadeem, S. & Hussain, A., “MHD flow of a viscous fluid on a non-linear porous shrinking sheet with Homotopy analysis meth-od”. .Applied. Mathematics and Mechanics, Vol. 30 (2009), pp.1569-1578. https://doi.org/10.1007/s10483-009-1208-6.
    6. Qasim, M. “Heat and mass transfer in a Jeffrey fluid over a stretch-ing sheet with heat source/sink”. Alex. Eng. Journal, Vol. 52(4) (2013), pp. 571-575. https://doi.org/10.1016/j.aej.2013.08.004.
    7. Hassanien, I.A., Abdullah, A. & Gorla, R.S.R.,” Flow and heat transfer in a Power-Law fluid over a nonisothermal stretching sheet”. Mathematical Computer Modeling. Vol. 28(9) (1998), pp.105-116. https://doi.org/10.1016/S0895-7177(98)00148-4.
    8. Salleh, M. Z., Nazar, R. and Pop, I. “Boundary layer flow and heat transfer over a stretching sheet with Newtonian heating”. Journal of the Taiwan Institute of Chemical Engineers, Vol. 41(6) (2010), pp. 651-655. https://doi.org/10.1016/j.jtice.2010.01.013.
    9. Khan, W.A. and Pop, I. “Boundary layer flow of a nanofluid past a stretching sheet”. International Journal of Heat and Mass Transfer, Vol. 53 (11-12) (2010), pp.2477–2483. https://doi.org/10.1016/j.ijheatmasstransfer.2010.01.032.
    10. Makinde, O.D. & Azizb, A., “Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition”. Intr. Journal of Thermal Sciences, Vol. 50(7) (2011), pp.1326-1332. https://doi.org/10.1016/j.ijthermalsci.2011. 02. 019.
    11. Rana, P. & Bhargava, R. “Flow and heat transfer of a nanofluid over a nonlinearly stretching sheet: A numerical study”. Communi-cations in Nonlinear Science and Numerical Simulation, Vol. 17(1) (2012), pp.212–226. https://doi.org/10.1016/j.cnsns.2011.05.009.
    12. Ahmad, K., Hanouf, Z. and Ishak,A.,” Mixed convection Jeffrey fluid flow over an exponentially stretching sheet with magneto hy-drodynamic effect.”. AIP Advances,Vol.6(3)(2016), pp.035024(1-7) https://doi.org/10.1063/1.4945401.
    13. Ahmed, J., Shahzad, A., Khan, M. and Ali, R. “A note on convec-tive heat transfer of an MHD Jeffrey fluid over a stretching sheet”. AIP Advances, Vol. 5(11) (2015), pp.117117 (1-11). https://doi.org/10.1063/1.4935571.
    14. Liao, S. J., “On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet”. Journal of Fluid Mechanics, Vol. 488 (2003) pp. 189-212. https://doi.org/10.1017/S0022112003004865
    15. Ishak, A., “Thermal boundary layer flow over a stretching sheet in a micropolar fluid with radiation effect”. Meccanica, Vol. 45(3) (2010) pp. 367-373. https://doi.org/10.1007/s11012-009-9257-4.
    16. Abel, M. S. & Mahesha, N., “Heat transfer in MHD viscoelastic fluid flow over a stretching sheet with variable thermal conductivity, non-uniform heat source and radiation”. Applied Mathematical Modeling, Vol. 32(10) (2008), pp. 1965-1983. https://doi.org/10.1016/j.apm.2007.06.038.
    17. Rashidi,M. M., Rostami, B., Freidoonimehr, N. and Abbasbandy, S. “Free convective heat and mass transfer for MHD fluid flow over a permeable vertical stretching sheet in the presence of the radiation and buoyancy effects”. Ain Shams Engineering Journal, Vol. 5(3), (2014), pp.901-912. https://doi.org/10.1016/j.asej.2014.02.007.
    18. Pramanik, S. “Casson fluid flow and heat transfer past an exponen-tially porous stretching surface in presence of thermal radiation”. Ain Shams Engineering Journal, Vol. 5(1) (2014), pp. 205-212. https://doi.org/10.1016/j.asej.2013.05.003.
    19. Shahzad, A., Ali, R. and Khan, M. “On exact solution for asymmet-ric flow and heat transfer over a nonlinear radially stretching sheet”. Chin. Phys. Lett, Vol. 29 (2012), pp. 084705 (1-4). http://doi:10.1088/0246-307x/29/8/084705.
    20. Shahzad, A., Ahmed, J. and Khan, M. (2016). “On heat transfer analysis of axisymmetric flow of viscous fluid over a nonlinear radi-ally stretching sheet”. Alexandria Engineering Journal, Vol.55 (3) (2016), pp. 2423-2429. https://doi.org/10.1016/j.aej.2016.04.013.
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  • How to Cite

    Sreenadh, S., Ramesh Babu, V., Gopi Krishna, G., R.Mishra, S., & N.S.Srinivas, A. (2018). Entropy Generation on MHD Flow and Heat Transfer of Non-Newtonian Fluid Flow Over a Non-Linear Radially Stretching Sheet. International Journal of Engineering and Technology, 7(4.10), 863-868. https://doi.org/10.14419/ijet.v7i4.10.26776