All Outputs (3)

Penetrative convection induced by the absorption of radiation with a nonlinear internal heat source (2004)
Journal Article
Hill, A. A. (2004). Penetrative convection induced by the absorption of radiation with a nonlinear internal heat source. Dynamics of Atmospheres and Oceans, 38(1), 57-67. https://doi.org/10.1016/j.dynatmoce.2004.03.002

A model for convection induced by the selective absorption of radiation in a fluid layer is investigated. The concentration based internal heat source is modelled quadratically. A linear analysis and conditional nonlinear analysis are performed. Due... Read More about Penetrative convection induced by the absorption of radiation with a nonlinear internal heat source.

Conditional and unconditional nonlinear stability for convection induced by absorption of radiation in a porous medium (2004)
Journal Article
Hill, A. A. (2004). Conditional and unconditional nonlinear stability for convection induced by absorption of radiation in a porous medium. Continuum Mechanics and Thermodynamics, 16(4), 305-318. https://doi.org/10.1007/s00161-003-0151-3

Convection induced by the selective absorption of radiation is investigated, for the case of an internal heat source that is modelled quadratically with respect to concentration. The growth rate for the linearised system is shown to be real, and a li... Read More about Conditional and unconditional nonlinear stability for convection induced by absorption of radiation in a porous medium.

Convection induced by the selective absorption of radiation for the Brinkman model (2004)
Journal Article
Hill, A. A. (2004). Convection induced by the selective absorption of radiation for the Brinkman model. Continuum Mechanics and Thermodynamics, 16(1-2), 43-52. https://doi.org/10.1007/s00161-003-0140-6

Convection induced by the selective absorption of radiation in a porous medium is studied analytically and numerically using the Brinkman model. Both linear instability analysis and nonlinear stability analysis are employed. The thresholds show excel... Read More about Convection induced by the selective absorption of radiation for the Brinkman model.