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ONSET OF DARCY-BRINKMAN CONVECTION IN A ROTATING POROUS LAYER INDUCED BY PURELY INTERNAL HEATING

Volume 20, Numéro 8, 2017, pp. 691-706
DOI: 10.1615/JPorMedia.v20.i8.20
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RÉSUMÉ

The influence of rotation and Darcy number on the criterion for the onset of convection induced by purely internal heating in a porous layer is investigated. The boundaries are considered to be free-free, rigid-rigid, lower-rigid, and upper-free boundaries and subjected to two sets of thermal boundary conditions, namely, case (i) both boundaries isothermal and case (ii) lower insulated and upper isothermal. The Darcy-Brinkman model, with fluid viscosity different from effective viscosity, is used to characterize the fluid motion in porous medium. The coupled governing partial differential equations are transformed into ordinary differential equations by use of linear stability analysis and solved numerically using the higher order Galerkin method with the internal Darcy-Rayleigh number as the eigenvalue. Results indicate that the nature of boundaries, Darcy number, and speed of rotation significantly influence the stability characteristics of the system. Convection, when it occurs for case (i) where both boundaries are isothermal, is concentrated in the upper portion of the layer; whereas for case (ii) with lower insulated and upper isothermal boundaries, it is concentrated in the whole layer. The effect of increasing rotation parameter inhibits the onset of convection, while Darcy number shows dual behavior on the criterion for the onset of convection in the presence of rotation. Some known results are also recovered as special cases of the present study.

CITÉ PAR
  1. Yadav Dhananjay, The onset of longitudinal convective rolls in a porous medium saturated by a nanofluid with non-uniform internal heating and chemical reaction, Journal of Thermal Analysis and Calorimetry, 135, 2, 2019. Crossref

  2. Khan Arshad, Shah Zahir, Islam Saeed, Khan Sajad, Khan Waris, Khan Aurang Zeb, Darcy–Forchheimer flow of micropolar nanofluid between two plates in the rotating frame with non-uniform heat generation/absorption, Advances in Mechanical Engineering, 10, 10, 2018. Crossref

  3. Yadav Dhananjay, Impact of chemical reaction on the convective heat transport in nanofluid occupying in porous enclosures: A realistic approach, International Journal of Mechanical Sciences, 157-158, 2019. Crossref

  4. Yadav Dhananjay, Numerical investigation of the combined impact of variable gravity field and throughflow on the onset of convective motion in a porous medium layer, International Communications in Heat and Mass Transfer, 108, 2019. Crossref

  5. Falsaperla Paolo, Giacobbe Andrea, Mulone Giuseppe, Inclined convection in a porous Brinkman layer: linear instability and nonlinear stability, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 475, 2223, 2019. Crossref

  6. Vadasz , Instability and Convection in Rotating Porous Media: A Review, Fluids, 4, 3, 2019. Crossref

  7. Storesletten Leiv, Rees D. Andrew S., Onset of Convection in an Inclined Anisotropic Porous Layer with Internal Heat Generation, Fluids, 4, 2, 2019. Crossref

  8. Yadav Dhananjay, Maqhusi Manal, Influence of temperature dependent viscosity and internal heating on the onset of convection in porous enclosures saturated with viscoelastic fluid, Asia-Pacific Journal of Chemical Engineering, 15, 6, 2020. Crossref

  9. Yadav Dhananjay, The onset of Darcy‐Brinkman convection in a porous medium layer with vertical throughflow and variable gravity field effects, Heat Transfer, 49, 5, 2020. Crossref

  10. Govender Saneshan, Vadasz Number Effects on Convection in a Horizontal Porous Layer Subjected to Internal Heat Generation and G-Jitter, Fluids, 5, 3, 2020. Crossref

  11. Yadav Dhananjay, Effects of rotation and varying gravity on the onset of convection in a porous medium layer: a numerical study, World Journal of Engineering, 17, 6, 2020. Crossref

  12. Sakshath T. N., Joshi Arundhathi, Effect of horizontal pressure gradient on Rayleigh–Bénard convection of a Newtonian nanoliquid in a high porosity medium using a local thermal non‐equilibrium model, Heat Transfer, 50, 2, 2021. Crossref

  13. Drouin Guillaume, Fahs Marwan, Droz Boris, Younes Anis, Imfeld Gwenaël, Payraudeau Sylvain, Pollutant Dissipation at the Sediment‐Water Interface: A Robust Discrete Continuum Numerical Model and Recirculating Laboratory Experiments, Water Resources Research, 57, 3, 2021. Crossref

  14. Govender Saneshan, Vadasz Number Effects on Convection in a Vertical Rotating Porous Layer, Placed Far from Axis of Rotation, and Subjected to Internal Heat Generation and Centrifugal Jitter, Physics, 3, 3, 2021. Crossref

  15. Shekhar Suman, Ragoju Ravi, Reddy Gudala Janardhana, Sheremet Mikhail A., The Coriolis Effect on Thermal Convection in a Rotating Sparsely Packed Porous Layer in Presence of Cross-Diffusion, Coatings, 12, 1, 2021. Crossref

  16. Yadav Dhananjay, Mahabaleshwar U.S., Wakif Abderrahim, Chand Ramesh, Significance of the inconstant viscosity and internal heat generation on the occurrence of Darcy-Brinkman convective motion in a couple-stress fluid saturated porous medium: An analytical solution, International Communications in Heat and Mass Transfer, 122, 2021. Crossref

  17. Yadav Dhananjay, The effect of viscosity and Darcy number on the start of convective motion in a rotating porous medium layer saturated by a couple-stress fluid, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 235, 6, 2021. Crossref

  18. Nerolu Meenakshi, Siddheshwar Pradeep G., Controlling Rayleigh–Bénard Magnetoconvection in Newtonian Nanoliquids by Rotational, Gravitational and Temperature Modulations: A Comparative Study, Arabian Journal for Science and Engineering, 47, 6, 2022. Crossref

  19. Ali Samah A., Rudziva Munyaradzi, Sibanda Precious, Noreldin Osman A.I., Goqo Sicelo P., Mthethwa Hloniphile Sithole, A numerical study of double-diffusive convection in the anisotropic porous layer under rotational modulation with internal heat generation, International Communications in Heat and Mass Transfer, 137, 2022. Crossref

  20. Rafeek Kallu Vetty Muhammed, Reddy Gudala Janardhana, Ragoju Ravi, Reddy Gundlapally Shiva Kumar, Sheremet Mikhail A., Impact of Throughflow and Coriolis Force on the Onset of Double-Diffusive Convection with Internal Heat Source, Coatings, 12, 8, 2022. Crossref

  21. Enagi N.K., Chavaraddi Krishna B., Kulkarni Sridhar, Ramesh G.K., Effect of maximum density and internal heating on the stability of rotating fluid saturated porous layer using LTNE model, Heliyon, 8, 6, 2022. Crossref

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