International Journal of Science and Engineering
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International Journal of Science and EngineeringJuly-Dec 2023 Vol:2 Issue:2

A Darcy-Brinkman Porous Medium with Rivlin-Ericksen Fluid: The Impact of Suspended Particles on Thermal Convection

Abstract

This paper examines how suspended particles affect the thermal convection of an incompressible, elastico-viscous Rivlin-Ericksen fluid in a porous media. We use the Brinkman model for the porous medium. Using the normal mode analysis technique, An analytical solution has been found for the dispersion relation. Oscillatory modes are found to be introduced by the gravity field, suspended particles, viscoelasticity, and medium permeability. The system is found to be stabilised by the Darcy number for stationary convection, while it is found to be destabilised by suspended particles and medium permeability. In order to visually represent the stability characteristics, the effects of suspended particles, Darcy number, and medium permeability have also been demonstrated. These results are in good accord with the analytically calculated results and graphically calculated results.

Author

Ruby Rani Gupta, Archana Shukla  ( Pages 47-64 )
Email:rubyranigupta47@gmail.com
Affiliation: Department of Mathematics, Nehru Gram Bharti (Deemed to be University) Hanuman Ganj, Uttar Pradesh,      DOI: https://doi.org/10.58517/IJSE.2023.2201

Keyword

Viscosity; Viscoelasticity fluid; suspended particles; Rivlin-Ericksen fluid; Brinkman porous medium

References

  1. Archana Shukla (2020). Unsteady Hydromagnetic Free Convective Flow and Mass Transfer of an Elastico-Viscous Fluid Past an Infinite Vertical Porous Plate in a Rotating Porous Medium, Journal of International Academy of Physical Sciences, 24(4), 465- 483.
  2. Rana, G. C., & Thakur, R. C. (2012). Effect of suspended particles on thermal convection in Rivlin-Ericksen fluid in a Darcy-Brinkman porous medium. Journal of Mechanical Engineering and Sciences2, 162-171.
  3. Scanlon, J. W., & Segel, L. A. (1973). Some effects of suspended particles on the onset of Bénard convection. The Physics of Fluids16(10), 1573-1578.
  4. Chandrasekhar, S. (1968). Hydrodynamic and hydromagnetic stability. Clarendon Press.
  5. Sharma, R. C., & Kumari, V. (1991). Stability of stratified fluid in porous medium in the presence of suspended particles and variable magnetic field. Czechoslovak journal of physics41(5), 450-458.
  6. Sharma, R. C., & Sunil. (1994). Thermal instability of Oldroydian viscoelastic fluid with suspended particles in hydromagnetics in porous medium. Polymer-Plastics Technology and Engineering33(3), 323-339.
  7. Rana, G., & Thakur, R. (2012). A mathematical theorem on the onset of Couple-Stress fluid permeated with suspended dust particles saturating a porous medium. The International Journal of Multiphysics6(1), 61-72.
  8. Rana, G. C., & Kumar, S. (2010). Thermal instability of Rivlin-Ericksen elasto-viscous rotating fluid permeating with suspended particles under variable gravity field in porous medium. Studia Geotechnica et Mechanica32(4), 39-54.
  9. Vafai, K. (Ed.). (2015). Handbook of porous media. Crc Press.
  10. Ingham, D. B., & Pop, I. (1998). Transport phenomena in porous media. Elsevier.
  11. Nield, D. A., & Bejan, A. (2006). Heat transfer through a porous medium. Convection in porous media, 27-38.
  12. Kuznetsov, A. V., & Nield, D. (2010). Thermal instability in a porous medium layer saturated by a nanofluid: Brinkman model. Transport in Porous Media81, 409-422.
  13. Sharma, V., Kishor, K., & Rana, G. (2001). The instability of streaming Rivlin-Ericksen fluids in porous medium. Studia Geotechnica et Mechanica23(3-4), 83-93.

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