Research Journal of Science and Technology

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Numerical Exploration of Non-Newtonian Polymeric Boundary Layer Flow Over an Isothermal Sphere


Affiliations
1 Department of Mathematics, Sreenivasa Institute of Technology and Management Studies, Chittoor-517001, India
2 Department of Mathematics, JNTUA College of Engineering, Pulivendula-516390, Andhra Pradesh, India
     

   Subscribe/Renew Journal


This paper examines the nonlinear steady state boundary layer flow and heat transfer of an incompressible Jeffery non-Newtonian fluid from an isothermal sphere. The governing partial differential equations of the flow field are converted to a system of non-linear coupled non-similarity ordinary differential equations. Finite difference technique followed by Keller Box method, the system is solved numerically. The numerical code is validated with previous studies. The effects of the various physical parameters countered in the flow field on the velocity, temperature as well as the skin friction coefficient and the rate of heat transfer near the wall are computed and illustrated graphically. It is found that increasing suction decelerates the flow and also cools the boundary layer i.e. reduces temperatures. With increasing tangential coordinate the flow is also decelerated whereas the temperatures are enhanced. The simulation is relevant to polymer coating thermal processing. Polymeric enrobing flows are important in industrial manufacturing technology and process systems. Such flows are non-Newtonian. Motivated by such applications, we did the present problem.

Keywords

Polymers, Heat Transfer, Skin Friction, Deborah Number, Suction.
Subscription Login to verify subscription
User
Notifications
Font Size


  • S. Livescu, “Mathematical modeling of thixotropic drilling mud and crude oil flow in wells and pipelines—A review,” J. Petroleum Science and Engineering, vol. 98/99, pp.174–184, 2012.http://dx.doi.org/10.1016/j.petrol.2012.04.026.

  • J. Hron, J. Málek, P. Pustějovská, and K. R. Rajagopal, “On the modeling of the synovial fluid,” Advances in Tribology, vol. 2010, 2010. http://dx.doi.org/10.1155/2010/104957.

  • F. Loix, L. Orgéas, C. Geindreau, P. Badel, P. Boisse, and J.F. Bloch, “Flow of non-Newtonian liquid polymers through deformed composites reinforcements,” Composites Science and Technology, vol. 69, pp. 612–619, 2009.http://dx.doi.org/10.1016/j.compscitech.2008.12.007

  • V. Kechichian, G. P. Crivellari, J. A. W. Gut, and C. C. Tadini, “Modeling of continuous thermal processing of a non-Newtonian liquid food under diffusive laminar flow in a tubular system,” Int. J. Heat and Mass Transfer, vol. 55, pp.5783–5792,2012. http://dx.doi.org/10.1016/j.ijheatmasstransfer.2012.05.075

  • K. Das, N. Acharya, P.K. Kundu, “Radiative flow of MHD Jeffrey fluid past a stretching sheet with surface slip and melting heat transfer,” Alexandria Engineering Journal, vol. 54, pp. 815–821, 2015.http://dx.doi.org/10.1016/j.aej.2015.06.008.

  • R. Ellahi, A. Riaz, and S. Nadeem, “Series Solutions of Magnetohydrodynamic Peristaltic Flow of a Jeffrey Fluid in Eccentric Cylinders”, J. Appl. Math. Inf. Sci., vol. 7, pp. 1441-1449, 2013.

  • G. S. Seth, S. Sarkar, and A. J. Chamkha, “Unsteady Hydromagnetic Flow past a Moving Vertical Plate with Convective Surface Boundary Condition,”Journal of Applied Fluid Mechanics, vol. 9(4), pp. 1877-1886, 2016.

  • M.S. Abel, and M. M. Nandeppanavar, “Heat transfer in MHD viscoelastic boundary layer flow over a stretching sheet with non-uniform heat source/sink,” Commun. Nonlinear Sci. Numer. Simul., vol. 14(5), pp. 2120–2131, 2009.

  • T. Hayat, B. Ashraf, S. A. Shehzad, A. Alsaedi, and N. Bayomi,"Three-dimensional mixed convection flow of viscoelastic nanofluid over an exponentially stretching surface," International Journal of Numerical Methods for Heat & Fluid Flow, vol. 25(2), pp. 333-357, 2015. http://dx.doi.org/10.1108/HFF-01-2014-0024.

  • C.H. Amanulla, N. Nagendra, M. Suryanarayana Reddy, A. SubbaRao, and M. Sudhakar Reddy, “Heat Transfer in a Non-Newtonian Jeffery Fluid from an Inclined Vertical Plate,” Indian Journal of Science and Technology,vol. 10(25), 2017.http://dx.doi.org/10.17485/ijst/2017/v10i25/104644.

  • C.H. Amanulla, N. Nagendra, and M. Suryanarayana Reddy, “Multiple Slip Effects on MHD and Heat Transfer in a Jeffery Fluid over an Inclined Vertical Plate,” International Journal of Pure and Applied Mathematics, vol. 113(7), pp. 137-145, 2017.

  • S. Nadeem, R. Mehmood, N.S. Akbar, “Oblique stagnation flow of Jeffery fluid over a stretching convective surface: Optimal Solution,” Int. J. Num. Meth. Heat & Fluid Flow, vol. 25(3), pp.454-471, 2015.

  • C.H. Amanulla, N. Nagendra, and M. Suryanarayana Reddy, “Numerical Study of Thermal and Momentum Slip Effects on MHD Williamson Nanofluid from an Isothermal Sphere,” Journal of Nanofluids, vol. 6(6), pp. 1111–1126, 2017.https://doi.org/10.1166/jon.2017.1405.

  • C.H. Amanulla, N. Nagendra, M. Suryanarayana Reddy, A. SubbaRao, and O. Anwar Bég, “Mathematical Study of Non-Newtonian Nanofluid Transport Phenomena from an Isothermal Sphere,” Frontiers in Heat and Mass Transfer, vol. 8, 29,2017. http://dx.doi.org/10.5098/hmt.8.29.

  • C.H. Amanulla, N. Nagendra, and M. Suryanarayana Reddy, “MHD Flow and Heat Transfer in a Williamson Fluid from a Vertical Permeable Cone with Thermal and Momentum Slip Effects: A Mathematical Study,” Frontiers in Heat and Mass Transfer, vol. 8, 40, 2017. http://dx.doi.org/10.5098/hmt.8.40.

  • SubbaRao, C.H. Amanulla, N. Nagendra, M. Suryanarayana Reddy, and O. A. Bég, “Computational Analysis of Non-Newtonian Boundary Layer Flow of Nanofluid Past a Vertical Plate with Partial Slip,” Modelling, Measurement and Control B, vol. 86(1), pp. 271-295, 2017.

  • SubbaRao, C. H. Amanulla, N. Nagendra, O.A. Bég, and A. Kadir, “Hydromagnetic flow and Heat Transfer in a Williamson Non-Newtonian fluid from a Horizontal Circular Cylinder with Newtonian Heating,” Int. J. Appl. Comput. Math., pp.1-21,2017. http://dx.doi.org/10.1007/s40819-017-0304-x.

  • SubbaRao, C.H. Amanulla, N. Nagendra, M. Suryanarayana Reddy, and O. A. Bég, “Hydromagnetic Non-Newtonian Nanofluid Transport Phenomena Past an Isothermal Vertical Cone with Partial Slip: Aerospace Nanomaterial Enrobing Simulation,” Heat Transfer – Asian Research. 2017.http://dx.doi.org/10.1002/htj.21299.

  • O. Anwar Bég, A. SubbaRao, C.H. Amanulla, N. Nagendra, M. Suryanarayana Reddy, and Kadir, A., 2018, “Numerical Study of Hydromagnetic Non-Newtonian Nanofluid Transport Phenomena from a Horizontal Cylinder with Thermal Slip: Aerospace Nanomaterial Enrobing Simulation,”Journal of Nanofluids, vol.7(1).https://doi.org/10.1166/jon.2018.1423.

  • M.J. Huang, C.K. Chen, “Laminar free-convection from a sphere with blowing and suction,” J. Heat Mass Transfer, vol. 109,pp. 529–32, 1987.


Abstract Views: 491

PDF Views: 0




  • Numerical Exploration of Non-Newtonian Polymeric Boundary Layer Flow Over an Isothermal Sphere

Abstract Views: 491  |  PDF Views: 0

Authors

Syed Fazuruddin
Department of Mathematics, Sreenivasa Institute of Technology and Management Studies, Chittoor-517001, India
S. Sreekanth
Department of Mathematics, Sreenivasa Institute of Technology and Management Studies, Chittoor-517001, India
G. S. S. Raju
Department of Mathematics, JNTUA College of Engineering, Pulivendula-516390, Andhra Pradesh, India

Abstract


This paper examines the nonlinear steady state boundary layer flow and heat transfer of an incompressible Jeffery non-Newtonian fluid from an isothermal sphere. The governing partial differential equations of the flow field are converted to a system of non-linear coupled non-similarity ordinary differential equations. Finite difference technique followed by Keller Box method, the system is solved numerically. The numerical code is validated with previous studies. The effects of the various physical parameters countered in the flow field on the velocity, temperature as well as the skin friction coefficient and the rate of heat transfer near the wall are computed and illustrated graphically. It is found that increasing suction decelerates the flow and also cools the boundary layer i.e. reduces temperatures. With increasing tangential coordinate the flow is also decelerated whereas the temperatures are enhanced. The simulation is relevant to polymer coating thermal processing. Polymeric enrobing flows are important in industrial manufacturing technology and process systems. Such flows are non-Newtonian. Motivated by such applications, we did the present problem.

Keywords


Polymers, Heat Transfer, Skin Friction, Deborah Number, Suction.

References