All Outputs (85)

Continuous dependence on boundary and Soret coefficients in double diffusive bidispersive convection (2020)
Journal Article
Franchi, F., Nibbi, R., & Straughan, B. (2020). Continuous dependence on boundary and Soret coefficients in double diffusive bidispersive convection. Mathematical Methods in the Applied Sciences, 43(15), 8882-8893. https://doi.org/10.1002/mma.6581

We develop a theory for double diffusive convection in a double porosity material along the Brinkman scheme. The Soret effect is included whereby a temperature gradient may directly influence salt concentration. The boundary conditions on the tempera... Read More about Continuous dependence on boundary and Soret coefficients in double diffusive bidispersive convection.

Nonlinear acceleration wave propagation in the DKM theory (2020)
Journal Article
Straughan, B., Tibullo, V., & Amendola, A. (2020). Nonlinear acceleration wave propagation in the DKM theory. Mechanics Research Communications, 104, Article 103482. https://doi.org/10.1016/j.mechrescom.2020.103482

We study the evolutionary development of an acceleration wave propagating in a saturated porous material according to a Biot theory proposed by Donskoy, Khashanah and McKee. The theory is fully nonlinear, includes dissipation, and the analysis presen... Read More about Nonlinear acceleration wave propagation in the DKM theory.

Heated and Salted Below Porous Convection with Generalized Temperature and Solute Boundary Conditions (2019)
Journal Article
Straughan, B. (2020). Heated and Salted Below Porous Convection with Generalized Temperature and Solute Boundary Conditions. Transport in Porous Media, 131(2), 617-631. https://doi.org/10.1007/s11242-019-01359-y

We address the problem of initiation of convective motion in the case of a fluid saturated porous layer, containing a salt in solution, which is heated and salted below. We amplify the very interesting recent results of Nield and Kuznetsov and examin... Read More about Heated and Salted Below Porous Convection with Generalized Temperature and Solute Boundary Conditions.

Anisotropic bidispersive convection (2019)
Journal Article
Straughan, B. (2019). Anisotropic bidispersive convection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 475(2227), Article 20190206. https://doi.org/10.1098/rspa.2019.0206

This paper investigates thermal convection in an anisotropic bidisperse porous medium. A bidisperse porous medium is one which possesses the usual pores, but in addition, there are cracks or fissures in the solid skeleton and these give rise to a sec... Read More about Anisotropic bidispersive convection.

Effect of inertia on double diffusive bidispersive convection (2018)
Journal Article
Straughan, B. (2018). Effect of inertia on double diffusive bidispersive convection. International Journal of Heat and Mass Transfer, 129, 389-396. https://doi.org/10.1016/j.ijheatmasstransfer.2018.09.090

Convection thresholds in a saturated bidisperse porous material are calculated in the presence of a non-zero coefficient of inertia, the acceleration coefficient, for the fluid velocity in the macro pores. We concentrate on the case where the layer i... Read More about Effect of inertia on double diffusive bidispersive convection.

Thermal effects on nonlinear acceleration waves in the Biot theory of porous media (2018)
Journal Article
Straughan, B., & Tibullo, V. (2018). Thermal effects on nonlinear acceleration waves in the Biot theory of porous media. Mechanics Research Communications, 94, 70-73. https://doi.org/10.1016/j.mechrescom.2018.08.001

We generalize a theory of Biot for a porous solid based on nonlinear elasticity theory to incorporate temperature effects. Acceleration waves are studied in detail in the fully nonlinear theory. The wavespeeds are found explicitly and the amplitudes... Read More about Thermal effects on nonlinear acceleration waves in the Biot theory of porous media.

Bidispersive double diffusive convection (2018)
Journal Article
Straughan, B. (2018). Bidispersive double diffusive convection. International Journal of Heat and Mass Transfer, 126, 504-508. https://doi.org/10.1016/j.ijheatmasstransfer.2018.05.056

A model is developed for double diffusive convection in a bidisperse porous medium. Double diffusive convection is convective movement of fluid due to temperature and salt gradient effects. A bidisperse porous medium is one where there are pores know... Read More about Bidispersive double diffusive convection.

Horizontally isotropic bidispersive thermal convection (2018)
Journal Article
Straughan, B. (2018). Horizontally isotropic bidispersive thermal convection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 474(2213), Article 20180018. https://doi.org/10.1098/rspa.2018.0018

A bidispersive porous material is one which has usual pores but additionally contains a system of micro pores due to cracks or fissures in the solid skeleton. We present general equations for thermal convection in a bidispersive porous medium when th... Read More about Horizontally isotropic bidispersive thermal convection.

Acceleration waves in a nonlinear Biot theory of porous media (2018)
Journal Article
Ciarletta, M., Straughan, B., & Tibullo, V. (2018). Acceleration waves in a nonlinear Biot theory of porous media. International Journal of Non-Linear Mechanics, 103, 23-26. https://doi.org/10.1016/j.ijnonlinmec.2018.04.005

We extend a theory of Biot to be applicable to nonlinear deformations of an elastic body which contains pores saturated by a fluid. A detailed acceleration wave analysis is presented for the full nonlinear theory.

Tridispersive thermal convection (2018)
Journal Article
Gentile, M., & Straughan, B. (2018). Tridispersive thermal convection. Nonlinear Analysis: Real World Applications, 42, 378-386. https://doi.org/10.1016/j.nonrwa.2018.01.009

We derive the linear instability and nonlinear stability thresholds for a problem of thermal convection in a tridispersive porous medium with a single temperature. Importantly we demonstrate that the nonlinear stability threshold is the same as the l... Read More about Tridispersive thermal convection.

Continuous dependence on modelling for temperature-dependent bidispersive flow (2017)
Journal Article
Franchi, F., Nibbi, R., & Straughan, B. (2017). Continuous dependence on modelling for temperature-dependent bidispersive flow. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 473(2208), Article 20170485. https://doi.org/10.1098/rspa.2017.0485

We consider a model for flow in a porous medium which has a double porosity structure. There is the usual porosity herein called macro porosity, but in addition, we allow for a porosity due to cracks or fissures in the solid skeleton. The cracks give... Read More about Continuous dependence on modelling for temperature-dependent bidispersive flow.

Bidispersive vertical convection (2017)
Journal Article
Gentile, M., & Straughan, B. (2017). Bidispersive vertical convection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 473(2207), Article 20170481. https://doi.org/10.1098/rspa.2017.0481

A bidispersive porous material is one which has usual pores but additionally contains a system of micro pores. We consider a fluid-saturated bidispersive porous medium in the vertical layer x ∈ (−1/2, 1/2) with gravity in the −z (downward) direction.... Read More about Bidispersive vertical convection.

Modelling Bidispersive Local Thermal Non-Equilibrium Flow (2017)
Journal Article
Franchi, F., Nibbi, R., & Straughan, B. (2017). Modelling Bidispersive Local Thermal Non-Equilibrium Flow. Fluids, 2(3), Article 48. https://doi.org/10.3390/fluids2030048

In this work, we present a system of equations which describes non-isothermal flow in a bidispersive porous medium under conditions of local thermal non-equilibrium. The porous medium consists of macro pores, and in the solid skeleton are cracks or f... Read More about Modelling Bidispersive Local Thermal Non-Equilibrium Flow.

Bidispersive thermal convection (2017)
Journal Article
Gentile, M., & Straughan, B. (2017). Bidispersive thermal convection. International Journal of Heat and Mass Transfer, 114, 837-840. https://doi.org/10.1016/j.ijheatmasstransfer.2017.06.095

We obtain the linear instability and nonlinear stability thresholds for a problem of thermal convection in a bidispersive porous medium with a single temperature. It is important to note that we show that the linear instability threshold is the same... Read More about Bidispersive thermal convection.

Modelling drinking with information (2017)
Journal Article
Giacobbe, A., Mulone, G., Straughan, B., & Wang, W. (2017). Modelling drinking with information. Mathematical Methods in the Applied Sciences, 40(12), 4400-4411. https://doi.org/10.1002/mma.4312

In this article, we propose a mathematical model that describes the dynamics of a population divided into susceptible drinkers, moderate drinkers, and heavy drinkers subject to an external influence. The external influence is modelled using a supplem... Read More about Modelling drinking with information.

Tipping Points: Modelling Social Problems and Health (2015)
Book
Bissell, J., Caiado, C., Curtis, S., Goldstein, M., & Straughan, B. (2015). Tipping Points: Modelling Social Problems and Health. Wiley. https://doi.org/10.1002/9781118992005

Exchange of stability in Cattaneo–LTNE porous convection (2015)
Journal Article
Straughan, B. (2015). Exchange of stability in Cattaneo–LTNE porous convection. International Journal of Heat and Mass Transfer, 89, 792-798. https://doi.org/10.1016/j.ijheatmasstransfer.2015.05.084

We investigate a problem of convection in local thermal non-equilibrium (LTNE) porous media. This is where the solid skeleton and the fluid may have different temperatures. However, due to increasing interest in thermal wave motion, especially at mic... Read More about Exchange of stability in Cattaneo–LTNE porous convection.

Some Remarks on Functional Analysis (2014)
Book Chapter
Blowey, J. F., & Straughan, B. (2014). Some Remarks on Functional Analysis. In R. B. Hetnarski (Ed.), Encyclopedia of Thermal Stresses. Springer Verlag. https://doi.org/10.1007/978-94-007-2739-7_24

Functional analysis is a key tool in the study of partial differential equations which helps to answer key questions such as existence, well-posedness, and the class in which a solution should belong. We begin these remarks by introducing normed spac... Read More about Some Remarks on Functional Analysis.

Shocks and acceleration waves in modern continuum mechanics and in social systems (2014)
Journal Article
Straughan, B. (2014). Shocks and acceleration waves in modern continuum mechanics and in social systems. Evolution Equations and Control Theory, 3(3), 541-555. https://doi.org/10.3934/eect.2014.3.541

The use of discontinuity surface propagation (e.g. shock waves and acceleration waves) is well known in modern continuum mechanics and yields a very useful means to obtain important information about a fully nonlinear theory with no approximation wha... Read More about Shocks and acceleration waves in modern continuum mechanics and in social systems.

Resonant Penetrative Convection with an Internal Heat Source/Sink (2014)
Journal Article
Straughan, B. (2014). Resonant Penetrative Convection with an Internal Heat Source/Sink. Acta Applicandae Mathematicae, 132(1), 561-581. https://doi.org/10.1007/s10440-014-9930-z

We develop a detailed linear instability and nonlinear stability analysis for the situation of convection in a horizontal plane layer of fluid when there is a heat sink/source which is linear in the vertical coordinate which is in the opposite direct... Read More about Resonant Penetrative Convection with an Internal Heat Source/Sink.