Article
Mechanics
K. R. Raghunatha, I. S. Shivakumara
Summary: The stability of a triply diffusive viscoelastic fluid layer with fluid density depending on three stratifying agencies of different diffusivities was investigated using the Oldroyd-B constitutive equation. Analytical expressions for steady and oscillatory onset were obtained, with a boundary identified in the viscoelastic parameters plane. The study also analyzed the influence of Prandtl number and viscoelastic parameters on heat and mass transfer convection modes.
Article
Astronomy & Astrophysics
D. W. Hughes, N. H. Brummell
Summary: Double-diffusive systems, such as thermosolutal convection, can lead to both steady and oscillatory instabilities, eventually evolving into layered states where turbulent transport is significantly enhanced. Magnetic layering, demonstrated through an analogy with thermosolutal convection, may have implications for turbulent transport of heat, magnetic field, and chemical elements in stellar radiative zones.
ASTROPHYSICAL JOURNAL
(2021)
Article
Mechanics
A. Rosenthal, K. Luedemann, A. Tilgner
Summary: Double diffusive staircases were experimentally investigated in a fluid layer with a stabilizing temperature gradient and a destabilizing gradient of ion concentration. The study found that staircases can still form even if the density stratification is unstable. Additionally, it was observed that ion transport through fingers within a staircase differs from transport through fingers extending across the entire cell. Fingers cease to exist if there is insufficient diffusive heat transport between neighboring fingers.
Article
Multidisciplinary Sciences
Noureen, Dil Nawaz Khan Marwat
Summary: In this paper, the double-diffusive convection in flow of viscous fluid inside a horizontal channel is investigated. The problem is described by a set of PDEs and transformed into a system of ODEs. An approximate analytical solution and an accurate numerical solution are provided, and the skin friction and diffusion rates are investigated for different cases.
SCIENTIFIC REPORTS
(2022)
Article
Mechanics
Atul Jakhar, Anand Kumar
Summary: The present study investigates the heat and mass transport of double-diffusive convective flow of Newtonian fluid with an internal heat source. The effects of various physical parameters on the Nusselt number and Sherwood number are analyzed graphically. The results show that the Prandtl number and Richardson number enhance the rate of heat and mass transport, while the Lewis number suppresses it. The major finding is that the internal heat source has a negligible effect on mass transfer, but a significant effect on heat transfer.
Article
Thermodynamics
Ila Thakur, Atul Srivastava, Shyamprasad Karagadde
Summary: A recent observation found that when espresso is poured into steamed milk, alternating layers of milk and coffee-enriched regions are formed, known as double-diffusive convection (DDC). Inspired by this, an extensive numerical investigation of DDC was conducted. The transitions between four different flow regimes were revealed, and the survival time of double-diffusive layers (DDLs) was found to follow the same proportionality as the onset of the layered regime. The heat transfer coefficients at the sidewalls were obtained, and it was found that the overall heat transfer was lower in the presence of DDC.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2023)
Article
Mechanics
D. W. Hughes, M. R. E. Proctor, I. A. Eltayeb
Summary: Double-diffusive convection, influenced by two fields affecting density, has been widely studied and small corrections in equations can have significant effects with large differences in temperature and salinity. Amending Fick's law for temperature or salinity can lead to new oscillation modes and significant changes in the wavelength of oscillatory convection, especially in high salt concentrations where Maxwell-Cattaneo oscillations may appear.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Mechanics
Yantao Yang, Roberto Verzicco, Detlef Lohse, C. P. Caulfield
Summary: This study conducts numerical simulations for double-diffusive convection in the diffusive regime, and finds that staircase-like structures can spontaneously develop under certain conditions. Different initial perturbations lead to different layered states, which are significantly influenced by shear. The density flux ratio is found to be related to the square root of the ratio between salt diffusivity and thermal diffusivity.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Mechanics
Sierra Legare, Andrew Grace, Marek Stastna
Summary: Confined geometries affect hydrodynamic instabilities, offering opportunities for controlling mixing rates in engineering flows. In multi-component fluids, differential diffusion leads to novel types of hydrodynamic instabilities with finite amplitude manifestations even in millimeter-scale channels. Numerical simulations show that localized channel constrictions can partially capture double diffusive instabilities, with fluid collecting above the narrowest point and eventually experiencing a secondary instability. This secondary instability's chaotic nature and its control over the flow into the region below the constriction are studied.
Article
Mechanics
Sierra Legare, Andrew Grace, Marek Stastna
Summary: Direct numerical simulations reveal the presence of unique double-diffusive instabilities in narrow horizontal domains, influenced by boundaries and exhibiting complex time evolution, which can drive localized mixing in highly confined settings.
Article
Physics, Multidisciplinary
Pankaj Barman, D. Srinivasachrya, Dipak Barman
Summary: This study examines the initial processes of double-diffusive convection in a horizontal fluid-saturated porous layer under both linear and nonlinear conditions, considering the effects of vertical throughflow and magnetic field. Linear and nonlinear stability are analyzed using the normal mode technique and energy method, respectively. The linear and nonlinear eigenvalue equations are numerically solved using the boundary value problem solver bvp4c routine in MATLAB (2022a). Graphical representations are provided for the critical thermal Rayleigh number and associated wave number across various flow-governing parameters. It is observed that higher magnetic parameter (Ha(2)) values enhance system stability and compress the subcritical instabilities region. Increasing Lewis number (Le) stabilizes fluid motion, while high solutal Rayleigh number (Ra-s) destabilizes the system. The significant influence of Peclet number (Pe) on instability mechanisms is discussed in relation to upward or downward throughflow and the presence of magnetic field.
EUROPEAN PHYSICAL JOURNAL PLUS
(2023)
Article
Mechanics
B. M. Shankar, S. B. Naveen, I. S. Shivakumara
Summary: This study investigates the stability of basic buoyant flow in a vertical fluid layer induced by temperature and solute concentration differences. The results show the presence of multiple neutral stability curves under different parameter combinations, as well as the deciphering of modal instability mechanisms.
Article
Mechanics
Oliver S. Kerr
Summary: Instabilities can form when a fluid body with a salinity gradient is heated from an isolated vertical wall, generating horizontal salinity gradients and vertical shear. The nature of background gradients has limited linear stability analysis, but recent research investigates the full range of salinity gradients and heating conditions to understand the optimal evolution of instabilities. This study reveals three instability regimes when heating a salinity gradient from a sidewall, showing a transition from small to large Prandtl number modes and the emergence of a double-diffusive mode with increasing salinity gradient.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Mechanics
Huda A. Challoob, Assma Jassim Harfash, Akil J. Harfash
Summary: This study investigates the onset of convective motion in a porous layer saturated with salt solution, considering different thermal convection models and boundary conditions. The research shows that the linear instability threshold is the same as the nonlinear stability threshold in specific cases, but not in others, indicating the presence of regions of possible subcritical instability.
Article
Engineering, Mechanical
M. S. Aghighi, A. Ammar, H. Masoumi
Summary: This study investigates the double-diffusive natural convection of non-Newtonian Casson fluid in a square cavity and finds that yield stress plays a significant role in fluid behavior. The analysis of the governing parameters reveals that the Rayleigh number, yield number, buoyancy ratio number, and Lewis number have a significant impact on heat and mass transfer, the morphology of yielded/unyielded regions, and fluid flow.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2022)