Sotos Constantinou Generalis
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Sotos Constantinou Generalis has a total of 35 co-authors. Here are the top co-authors by number of shared publications:
- Philip M. J. Trevelyan
Department of Mathematics and Statistics, University of South Wales, Pontypridd, CF37 1DL, UK
9 shared publications - Takeshi Akinaga
Department of Systems Design Engineering, Akita University, 1-1 Tegatagakuen-Machi, Akita 010-8502, Japan
9 shared publications - Elias C. Aifantis
School of Civil Engineering, Aristotle University of Thessaloniki, Thessaloniki, Greece
4 shared publications - Gregory Cartland-Glover
STFC Daresbury Laboratory, Daresbury WA4 4AD, UK
4 shared publications - Larry E. Godwin
Applied Mathematics and Data Science, Aston University, Birmingham B4 7ET, UK
4 shared publications - Tomoaki Itano
Kansai University
4 shared publications
Latest Publications
- Open Access
- 6 September 2025
- Published by Springer Nature in Journal of Engineering Mathematics
- Vol. 154 (1) , 1-31
Viscous instabilities induced by an initially piecewise linear concentration profile with a discontinuity
- 6 September 2025
- Published by Springer Nature in Journal of Engineering Mathematics
- Vol. 154 (1) , 1-31
Open AccessViscous instabilities induced by an initially piecewise linear concentration profile with a discontinuity
- 1 June 2025
- Published by Pleiades Publishing Ltd in Lobachevskii Journal of Mathematics
- Vol. 46 (6) , 2703-2716
Braided Vortices in the Taylor–Couette System: Transition to Turbulence through Tertiary and Quaternary States
This manuscript extends the recent work [T. Akinaga, S. C. Generalis, and F. H. Busse, ‘‘Tertiary and Quaternary States in the Taylor–Couette System’’, Chaos, Solitons, and Fractals 109, 107–117 (2018)] on the Taylor–Couette problem in the small gap limit to include braided vortex flow (Bvf) solutions. Theoretical results are derived using the small-gap approximation and the corresponding equations are analysed numerically. This reveals that for certain values of the axial wavenumber (\(\beta\)), steady Bvf vortices can be realized for Reynolds numbers (\(R\)) that are prevalent at the wavy twist stability boundary. These vortices become unstable to states that are oscillatory, quasi-periodic and eventually aperiodic as \(R\) increases. This study further examines the bifurcation characteristics of Bvf from the Taylor vortices of variable wavenumbers \(\beta\), thus also exploring the transition to turbulence and highlighting the role of braided vortex flows in this process. The possibility of interactions between the wavy twist and subharmonic drifting wave of [1*] is also explored. The findings provide new insights into the complex dynamics of the Taylor–Couette system, contributing to a deeper understanding of the transition from laminar flow to turbulence and are expected to stimulate further experimental investigations in this intriguing area of fluid dynamics.- 1 June 2025
- Published by Pleiades Publishing Ltd in Lobachevskii Journal of Mathematics
- Vol. 46 (6) , 2703-2716
Braided Vortices in the Taylor–Couette System: Transition to Turbulence through Tertiary and Quaternary States
This manuscript extends the recent work [T. Akinaga, S. C. Generalis, and F. H. Busse, ‘‘Tertiary and Quaternary States in the Taylor–Couette System’’, Chaos, Solitons, and Fractals 109, 107–117 (2018)] on the Taylor–Couette problem in the small gap limit to include braided vortex flow (Bvf) solutions. Theoretical results are derived using the small-gap approximation and the corresponding equations are analysed numerically. This reveals that for certain values of the axial wavenumber (\(\beta\)), steady Bvf vortices can be realized for Reynolds numbers (\(R\)) that are prevalent at the wavy twist stability boundary. These vortices become unstable to states that are oscillatory, quasi-periodic and eventually aperiodic as \(R\) increases. This study further examines the bifurcation characteristics of Bvf from the Taylor vortices of variable wavenumbers \(\beta\), thus also exploring the transition to turbulence and highlighting the role of braided vortex flows in this process. The possibility of interactions between the wavy twist and subharmonic drifting wave of [1*] is also explored. The findings provide new insights into the complex dynamics of the Taylor–Couette system, contributing to a deeper understanding of the transition from laminar flow to turbulence and are expected to stimulate further experimental investigations in this intriguing area of fluid dynamics.- Open Access
Continuum Modeling of Slightly Wet Fluidization with Electrical Capacitance Tomograph Validation
Gas–solid fluidized bed reactors are widely used in the power generation industry. The critical effect of the presence of liquid phase, either as a result of heat, chemical reaction or physical interaction, on the hydrodynamics of the reactor is well recognized by academic researchers and industrial operators. However, theory and simulation frameworks to predict such a condition using the continuum modeling approach are not yet available. This study first shows the significant changes in the flow pattern and distinguishable flow regimes in a slightly wet fluidized bed recorded by an advanced imaging technique. The study then describes the development and implementation of new mathematical formulations for wet particle-particle interactions in a continuum model based on the classic kinetic theory of granular flow (KTGF). Quantitative validation, carried out by comparing the predicted and measured fluidization index (FI) expressed in terms of pressure drop, has shown a good match. The prediction also demonstrates increased bubble splitting, gas channeling, slugging fluidization, and energy dissipation induced by liquid bridges developing from wet particle interactions. These characteristics are similar to those commonly observed in the fluidization of cohesive powders. This model constitutes an important step in extending the continuum theories of dry flow to wet particle-particle interactions. This will allow accurate description and simulation of the fluidized bed in its widest application including power generation systems that involve wet particle fluidization.
Open AccessContinuum Modeling of Slightly Wet Fluidization with Electrical Capacitance Tomograph Validation
Gas–solid fluidized bed reactors are widely used in the power generation industry. The critical effect of the presence of liquid phase, either as a result of heat, chemical reaction or physical interaction, on the hydrodynamics of the reactor is well recognized by academic researchers and industrial operators. However, theory and simulation frameworks to predict such a condition using the continuum modeling approach are not yet available. This study first shows the significant changes in the flow pattern and distinguishable flow regimes in a slightly wet fluidized bed recorded by an advanced imaging technique. The study then describes the development and implementation of new mathematical formulations for wet particle-particle interactions in a continuum model based on the classic kinetic theory of granular flow (KTGF). Quantitative validation, carried out by comparing the predicted and measured fluidization index (FI) expressed in terms of pressure drop, has shown a good match. The prediction also demonstrates increased bubble splitting, gas channeling, slugging fluidization, and energy dissipation induced by liquid bridges developing from wet particle interactions. These characteristics are similar to those commonly observed in the fluidization of cohesive powders. This model constitutes an important step in extending the continuum theories of dry flow to wet particle-particle interactions. This will allow accurate description and simulation of the fluidized bed in its widest application including power generation systems that involve wet particle fluidization.
- 1 May 2024
- Published by Pleiades Publishing Ltd in Lobachevskii Journal of Mathematics
- Vol. 45 (5) , 2194-2205
Taylor Nearly Columnar Vortices in the Couette–Taylor System: Transition to Turbulence
The analysis of the Taylor–Couette problem in the small gap limit is extended to the of nearly columnar (NC) solutions. The theoretical results are derived in the small-gap approximation which is not always well approximated in experiments. Despite this studies in the Cartesian frame work when compared with theoretical results and observations yield good agreement. For higher values of the axial wavenumber, \(\beta\), up to \(\beta\sim 3\) rather narrow Taylor vortices may be realized for Reynolds number \(R<80\). These vortices will become unstable to states with columnar components with increasing \(R\). We show that for low \(R\), \((R,\beta)\sim(62.2,3.5)\), a state with a strong columnar component drifting in stream-wise direction exists for azimuthal wavenumbers \(\alpha\sim 0.17\) with \(\beta=3.5\). We examine the bifurcation sequence of these states.- 1 May 2024
- Published by Pleiades Publishing Ltd in Lobachevskii Journal of Mathematics
- Vol. 45 (5) , 2194-2205
Taylor Nearly Columnar Vortices in the Couette–Taylor System: Transition to Turbulence
The analysis of the Taylor–Couette problem in the small gap limit is extended to the of nearly columnar (NC) solutions. The theoretical results are derived in the small-gap approximation which is not always well approximated in experiments. Despite this studies in the Cartesian frame work when compared with theoretical results and observations yield good agreement. For higher values of the axial wavenumber, \(\beta\), up to \(\beta\sim 3\) rather narrow Taylor vortices may be realized for Reynolds number \(R<80\). These vortices will become unstable to states with columnar components with increasing \(R\). We show that for low \(R\), \((R,\beta)\sim(62.2,3.5)\), a state with a strong columnar component drifting in stream-wise direction exists for azimuthal wavenumbers \(\alpha\sim 0.17\) with \(\beta=3.5\). We examine the bifurcation sequence of these states.- Open Access
Energy Budget Characterisation of the Optimal Disturbance in Stratified Shear Flow
Stratified Taylor–Couette flow (STCF) undergoes transient growth. Recent studies have shown that there exists transient amplification in the linear regime of counter-rotating STCF. The kinetic budget of the optimal transient perturbation is analysed numerically to simulate the interaction of the shear production (SP), buoyancy flux (BP), and other energy components that contributes to the total optimal transient kinetic energy. These contributions affect the total energy by influencing the perturbation to extract kinetic energy (KE) from the mean flow. The decay of the amplification factor resulted from the positive amplification of both BP and SP, while the growth is attributed to the negative and positive amplification of BP and SP, respectively. The optimal SP is positively amplified, implying that there is the possibility of constant linear growth. These findings agree with the linear growth rate for increasing values of Grashof number.
Open AccessEnergy Budget Characterisation of the Optimal Disturbance in Stratified Shear Flow
Stratified Taylor–Couette flow (STCF) undergoes transient growth. Recent studies have shown that there exists transient amplification in the linear regime of counter-rotating STCF. The kinetic budget of the optimal transient perturbation is analysed numerically to simulate the interaction of the shear production (SP), buoyancy flux (BP), and other energy components that contributes to the total optimal transient kinetic energy. These contributions affect the total energy by influencing the perturbation to extract kinetic energy (KE) from the mean flow. The decay of the amplification factor resulted from the positive amplification of both BP and SP, while the growth is attributed to the negative and positive amplification of BP and SP, respectively. The optimal SP is positively amplified, implying that there is the possibility of constant linear growth. These findings agree with the linear growth rate for increasing values of Grashof number.
- Open Access
- 25 April 2024
- Published by Elsevier in Chemical Engineering Science
- Vol. 295
Mass transport in Couette flow
- 25 April 2024
- Published by Elsevier in Chemical Engineering Science
- Vol. 295
Open AccessMass transport in Couette flow
- Open Access
- 1 February 2024
- Published by AIP Publishing in Physics of Fluids
- Vol. 36 (2)
A falling fluid droplet in an oscillating flow field
We examine the flow in and around a falling fluid droplet in a vertically oscillating flow. We assume axisymmetric Stokes flow, and for small deformations to the droplet, the governing equations can be linearized leading to an infinite system of linear ordinary differential equations. In this study, we have analytically solved the problem in the small-capillary limit. We note that the solution locally breaks down at the poles of the droplet. The drag and center of the mass were also obtained. In the case when only odd modes are present, the droplet shows three-dimensional axisymmetric heart-shaped solutions oscillating vertically in time. When only even modes are present, the droplet exhibits axisymmetric stretching and squeezing.
- 1 February 2024
- Published by AIP Publishing in Physics of Fluids
- Vol. 36 (2)
Open AccessA falling fluid droplet in an oscillating flow field
We examine the flow in and around a falling fluid droplet in a vertically oscillating flow. We assume axisymmetric Stokes flow, and for small deformations to the droplet, the governing equations can be linearized leading to an infinite system of linear ordinary differential equations. In this study, we have analytically solved the problem in the small-capillary limit. We note that the solution locally breaks down at the poles of the droplet. The drag and center of the mass were also obtained. In the case when only odd modes are present, the droplet shows three-dimensional axisymmetric heart-shaped solutions oscillating vertically in time. When only even modes are present, the droplet exhibits axisymmetric stretching and squeezing.
- Open Access
- 21 December 2023
- Published by MDPI AG in Preprints.org
Energy Budget Characterisation of the Optimal Disturbance in Stratified Shear Flow
Stratified Taylor Couette Flow (STCF) undergoes transient growth. Recent studies have shown that there exists transient amplification in the linear regime of counter-rotating STCF. It is reported that as Gr increases, the maximum amplification factor ($G_0$) initially decays before it eventually starts growing after reaching a certain critical value Gr$_{c}$. Assuming other parameters of the model are kept constant, the value Gr$_{c}$ changes with respect to different speed ratios of the cylinders. The observed decay/growth pattern of $G_0$ is attributed to the interplay between the induced shear and buoyancy. In this study, the mechanism that triggers this observed pattern is investigated. The kinetic budget of the optimal transient perturbation is analysed numerically to simulate the interaction of the shear production (SP), buoyancy production (BP) and other energy components that contributes to the total optimal transient kinetic energy. These contributions affect the total energy by influencing the perturbation to extract kinetic energy (KE) from the mean flow. The decay of $G_0$ resulted from the positive amplification of both BP and SP, while the growth is attributed to the negative and positive amplification of BP and SP, respectively. The optimal SP is positively amplified, implying that there is the possibility of constant linear growth. These findings agree with the linear growth rate for increasing values of Gr.- 21 December 2023
- Published by MDPI AG in Preprints.org
Open AccessEnergy Budget Characterisation of the Optimal Disturbance in Stratified Shear Flow
Stratified Taylor Couette Flow (STCF) undergoes transient growth. Recent studies have shown that there exists transient amplification in the linear regime of counter-rotating STCF. It is reported that as Gr increases, the maximum amplification factor ($G_0$) initially decays before it eventually starts growing after reaching a certain critical value Gr$_{c}$. Assuming other parameters of the model are kept constant, the value Gr$_{c}$ changes with respect to different speed ratios of the cylinders. The observed decay/growth pattern of $G_0$ is attributed to the interplay between the induced shear and buoyancy. In this study, the mechanism that triggers this observed pattern is investigated. The kinetic budget of the optimal transient perturbation is analysed numerically to simulate the interaction of the shear production (SP), buoyancy production (BP) and other energy components that contributes to the total optimal transient kinetic energy. These contributions affect the total energy by influencing the perturbation to extract kinetic energy (KE) from the mean flow. The decay of $G_0$ resulted from the positive amplification of both BP and SP, while the growth is attributed to the negative and positive amplification of BP and SP, respectively. The optimal SP is positively amplified, implying that there is the possibility of constant linear growth. These findings agree with the linear growth rate for increasing values of Gr. - Open Access
- 9 August 2023
- Published by Elsevier in Applied Mathematics Letters
- Vol. 146
Exotic dynamics of bimolecular reaction–diffusion fronts in immiscible systems
- 9 August 2023
- Published by Elsevier in Applied Mathematics Letters
- Vol. 146
Open AccessExotic dynamics of bimolecular reaction–diffusion fronts in immiscible systems