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.

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.

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.

Double-diffusive Hadley-Prats flow in a porous medium subject to gravitational variation (2016)
Journal Article
Matta, A., Narayana, P. A., & Hill, A. A. (2016). Double-diffusive Hadley-Prats flow in a porous medium subject to gravitational variation. International Journal of Thermal Sciences, 102, 300-307. https://doi.org/10.1016/j.ijthermalsci.2015.10.034

© 2015 Elsevier Masson SAS. All rights reserved. A model for double-diffusive porous Hadley-Prats flow under the effect of a variable gravity field is explored. Both linear instability and nonlinear stability analyses are performed to assess the suit... Read More about Double-diffusive Hadley-Prats flow in a porous medium subject to gravitational variation.

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.

Simulation of three dimensional double-diffusive throughflow in internally heated anisotropic porous media (2014)
Journal Article
Harfash, A. J., & Hill, A. A. (2014). Simulation of three dimensional double-diffusive throughflow in internally heated anisotropic porous media. International Journal of Heat and Mass Transfer, 72, 609-615. https://doi.org/10.1016/j.ijheatmasstransfer.2014.01.048

A model for double-diffusive convection in an anisotropic porous layer with a constant throughflow is explored, with penetrative convection being simulated via an internal heat source. The validity of both the linear instability and global nonlinear... Read More about Simulation of three dimensional double-diffusive throughflow in internally heated anisotropic porous media.