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THERMAL RADIATION EFFECTS ON NON-NEWTONIAN FLUID IN A VARIABLE POROSITY REGIME WITH PARTIAL SLIP

Volume 19, Issue 4, 2016, pp. 313-329
DOI: 10.1615/JPorMedia.v19.i4.30
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ABSTRACT

The laminar boundary layer flow and heat transfer for multiphysical transport of an optically dense Casson non-Newtonian fluid along an isothermal horizontal circular cylinder embedded in a variable-porosity medium in the presence of thermal and hydrodynamic slip conditions is analyzed. Non-Darcy effects are simulated via a second-order Forchheimer drag force term in the momentum boundary layer equation. The cylinder surface is maintained at a constant temperature. The boundary layer conservation equations, which are parabolic in nature, are normalized into nonsimilar form and then solved computationally with an efficient, implicit, stable Keller-box finite-difference scheme. Increasing velocity slip consistently enhances temperatures and reduces velocity throughout the boundary layer regime. An increase in thermal slip parameter strongly decelerates the flow and also reduces temperatures in the boundary layer regime. Increasing porosity is found to elevate velocities, that is, accelerate the flow, but decrease temperatures, that is, cool the boundary layer regime. Thermal radiation parameter (inversely proportional to radiative flux contribution) is seen to reduce both velocity and temperature in the boundary layer. Local Nusselt number is also found to be enhanced with increasing radiation parameter. Temperatures are, however, very slightly decreased with increasing values of Casson non-Newtonian parameter. The study is relevant to processing of plastics in industry.

CITED BY
  1. Subba Rao A., Amanulla C. H., Nagendra N., Anwar Bég O., Kadir A., Hydromagnetic Flow and Heat Transfer in a Williamson Non-Newtonian Fluid from a Horizontal Circular Cylinder with Newtonian Heating, International Journal of Applied and Computational Mathematics, 3, 4, 2017. Crossref

  2. Amanulla Chota Hyder, Nagendra Nallagundla, Subba Rao Annasagaram, Anwar Bég Osman, Kadir Ali, Numerical exploration of thermal radiation and Biot number effects on the flow of a non-Newtonian MHD Williamson fluid over a vertical convective surface, Heat Transfer-Asian Research, 47, 2, 2018. Crossref

  3. Annasagaram Subba Rao, CH Amanulla, N Nagendra, M Surya Narayana Reddy, Bég O. Anwar, Hydromagnetic non-Newtonian nanofluid transport phenomena from an isothermal vertical cone with partial slip: Aerospace nanomaterial enrobing simulation , Heat Transfer-Asian Research, 47, 1, 2018. Crossref

  4. CH. Amanulla, N. Nagendra, M. Suryanarayana Reddy, Heat Transfer In MHD Viscoplastic Fluid Flow from a Vertical Permeable Cone with Convective Heating, i-manager’s Journal on Mathematics, 6, 1, 2017. Crossref

  5. L. Nagaraja, A. Subba Rao, M. Sudhakar Reddy, M. Suryanarayana Reddy, Convection Boundary Layer Flow and Heat Transfer in an Eyring - Powell Fluid Past a Horizontal Circular Cylinder in Porous Medium, i-manager’s Journal on Mathematics, 6, 1, 2017. Crossref

  6. Gaffar S. Abdul, Prasad V. Ramachandra, Bég O. Anwar, Khan Md. H. Hidayathullah, Venkatadri K., Radiative and magnetohydrodynamics flow of third-grade viscoelastic fluid past an isothermal inverted cone in the presence of heat generation/absorption, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 40, 3, 2018. Crossref

  7. Madhavi K., Ramachandra Prasad V., Subba Rao A., Anwar Bég O., Kadir A., Numerical Study of Viscoelastic Micropolar Heat Transfer from a Vertical Cone for Thermal Polymer Coating, Nonlinear Engineering, 8, 1, 2019. Crossref

  8. Rao A. Subba, Sainath Seela, Rajendra P., Ramu G., Mathematical Modelling of Hydromagnetic Casson non-Newtonian Nanofluid Convection Slip Flow from an Isothermal Sphere, Nonlinear Engineering, 8, 1, 2019. Crossref

  9. Gangadhar Kotha, Edukondala Nayak R., Venkata Subba Rao M., Kannan T., Nodal/Saddle Stagnation Point Slip Flow of an Aqueous Convectional Magnesium Oxide–Gold Hybrid Nanofluid with Viscous Dissipation, Arabian Journal for Science and Engineering, 46, 3, 2021. Crossref

  10. Mandal Mani Shankar, Mukhopadhyay Swati, Some aspects of flow over a non-isothermal unsteady stretched exterior fixed in porous medium among heat production/amalgamation, Forces in Mechanics, 9, 2022. Crossref

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