Outputs (39)

The nonlinear stability analysis of double-diffusive convection with viscous dissipation effect (2023)
Journal Article
Deepika, N., Narayana, P. A. L., & Hill, A. (2023). The nonlinear stability analysis of double-diffusive convection with viscous dissipation effect. Transport in Porous Media, 150, 215–227. https://doi.org/10.1007/s11242-023-02006-3

In this article, the onset of double-diffusive convection with the effect of viscous dissipation in a horizontal fluid-saturated porous layer is examined. Two impermeable isothermal and isosolutal walls bound the porous layer, and Darcy’s law models... Read More about The nonlinear stability analysis of double-diffusive convection with viscous dissipation effect.

Thermo-convective carbon sequestration in horizontal porous layers (2019)
Journal Article
Gautam, K., Narayana, P., & Hill, A. (2019). Thermo-convective carbon sequestration in horizontal porous layers. IMA Journal of Applied Mathematics, 84(3), 650-668

This article explores the linear and nonlinear stability of double-diffusive density-driven convection in the context of carbon sequestration in deep saline aquifers. The anisotropy, due to the thermal and solutal diffusivities, is considered in a po... Read More about Thermo-convective carbon sequestration in horizontal porous layers.

Double-diffusive convection in an inclined porous layer with a concentration-based internal heat source (2017)
Journal Article
Matta, A., & Hill, A. A. (2018). Double-diffusive convection in an inclined porous layer with a concentration-based internal heat source. Continuum Mechanics and Thermodynamics, 30(1), 165-173. https://doi.org/10.1007/s00161-017-0592-8

© 2017, The Author(s). The thermosolutal instability of double-diffusive convection in an inclined fluid-saturated porous layer with a concentration-based internal heat source is investigated. The linear instability of small-amplitude perturbations t... Read More about Double-diffusive convection in an inclined porous layer with a concentration-based internal heat source.

Onset of Darcy-Brinkman convection with a uniform internal heat source and vertical throughflow (2017)
Journal Article
Deepika, N., Narayana, P., & Hill, A. A. (2017). Onset of Darcy-Brinkman convection with a uniform internal heat source and vertical throughflow. International Journal of Thermal Sciences, 117, 136-144

The problem of thermal convection in a horizontal fluid saturated porous layer is examined, where the flow is governed by the Brinkman extension of Darcy's law. A uniform internal heat source and vertical throughflow are also considered. The linear a... Read More about Onset of Darcy-Brinkman convection with a uniform internal heat source and vertical throughflow.

Double-diffusive Hadley–Prats flow in a horizontal porous layer with a concentration based internal heat source (2017)
Journal Article
Matta, A., Narayana, P. A., & Hill, A. A. (2017). Double-diffusive Hadley–Prats flow in a horizontal porous layer with a concentration based internal heat source. Journal of Mathematical Analysis and Applications, 452(2), 1005-1018. https://doi.org/10.1016/j.jmaa.2017.03.039

© 2017 Elsevier Inc. Double-diffusive Hadley–Prats flow with a concentration based heat source is investigated through linear and non-linear stability analyses. The resultant eigenvalue problems for both theories are solved numerically using Shooting... Read More about Double-diffusive Hadley–Prats flow in a horizontal porous layer with a concentration based internal heat source.

Biogeochemistry in the scales (2017)
Book Chapter
Bonnett, S., Maxfield, P., Hill, A. A., & Ellwood, M. D. F. (2017). Biogeochemistry in the scales. In J. N. Furze, K. Swing, A. K. Gupta, R. McClatchey, & D. Reynolds (Eds.), Mathematical Advances Towards Sustainable Environmental Systems. Springer International Publishing. https://doi.org/10.1007/978-3-319-43901-3

Global environmental change is challenging our understanding of how communities as a whole interact with their physical environment. Ideally, we would model the impacts of global environmental change at a global level. However, in order to mathematic... Read More about Biogeochemistry in the scales.

An MHD couple stress fluid due to a perforated sheet undergoing linear stretching with heat transfer (2016)
Journal Article
Hill, A. A., Mahabaleshwar, U. S., Sarris, I. E., Hill, A. A., Lorenzini, G., & Pop, I. (2017). An MHD couple stress fluid due to a perforated sheet undergoing linear stretching with heat transfer. International Journal of Heat and Mass Transfer, 105, 157-167. https://doi.org/10.1016/j.ijheatmasstransfer.2016.09.040

© 2016 Elsevier Ltd We investigate an MHD couple stress liquid due to a perforated sheet undergoing linear stretching with radiation. The liquid is initially at rest with its activity is restricted by pulling the two sheet ends with parallel and iden... Read More about An MHD couple stress fluid due to a perforated sheet undergoing linear stretching with heat transfer.

Nonlinear thermal instability in a horizontal porous layer with an internal heat source and mass flow (2016)
Journal Article
Hill, A. A., Matta, A., Narayana, P. A., & Hill, A. A. (2016). Nonlinear thermal instability in a horizontal porous layer with an internal heat source and mass flow. Acta Mechanica, 227(6), 1743-1751. https://doi.org/10.1007/s00707-016-1591-8

© 2016, Springer-Verlag Wien. Linear and nonlinear stability analyses of Hadley–Prats flow in a horizontal fluid-saturated porous medium with a heat source are performed. The results indicate that, in the linear case, an increase in the horizontal th... Read More about Nonlinear thermal instability in a horizontal porous layer with an internal heat source and mass flow.

On the stability and uniqueness of the flow of a fluid through a porous medium (2016)
Journal Article
Hill, A. A., Hill, A. A., Rajagopal, K. R., & Vergori, L. (2016). On the stability and uniqueness of the flow of a fluid through a porous medium. Zeitschrift für Angewandte Mathematik und Physik, 67(3), 49. https://doi.org/10.1007/s00033-016-0645-z

© 2016, The Author(s). In this short note, we study the stability of flows of a fluid through porous media that satisfies a generalization of Brinkman’s equation to include inertial effects. Such flows could have relevance to enhanced oil recovery an... Read More about On the stability and uniqueness of the flow of a fluid through a porous medium.

Convective stability of carbon sequestration in anisotropic porous media (2014)
Journal Article
Hill, A. A., & Morad, M. R. (2014). Convective stability of carbon sequestration in anisotropic porous media. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 470(2170), https://doi.org/10.1098/rspa.2014.0373

© 2014 The Author(s) Published by the Royal Society. All rights reserved. The stability of convection in an anisotropic porous medium, where the solute concentration is assumed to decay via a first-order chemical reaction, is studied. This is a simpl... Read More about Convective stability of carbon sequestration in anisotropic porous media.