Convective heat and mass transports and chaos in two-component systems: comparison of results of physically realistic boundary conditions with those of artificial ones
- Title
- Convective heat and mass transports and chaos in two-component systems: comparison of results of physically realistic boundary conditions with those of artificial ones
- Creator
- Kanchana C.; Siddheshwar P.G.; Shanker B.; Laroze D.
- Description
- Linear and weakly nonlinear stability analyses of double-diffusive convection in two-component liquids with either potassium chloride (KCl) or sodium chloride (NaCl) aqueous solution, and heat being present is investigated in the paper for free, and rigid, isothermal, iso-solutal boundaries. Using the thermophysical values of the aqueous solutions, we have shown that the stationary convection is the preferred mode at onset and that sub-critical motion is possible. We found that the critical thermal Rayleigh number for water+NaCl+heat is higher compared to that of water+KCl+heat. The study shows that for water+KCl+heat, the transition from convective motion to chaotic motion occurs at rH= 27.2 for free boundaries and at 48.5 for rigid boundaries. Here, rH denotes the Hopf thermal Rayleigh number. Further, the existence of windows of mildly chaotic points and fully periodic intervals are reported using Lyapunov exponents and bifurcation diagrams. Chaotic motions in both the aqueous solutions are nearly identical. The percentage increase in heat transport in the double-diffusive system involving NaCl is nearly 1% more than that of KCl in the case of free boundaries, whereas in the case of realistic boundaries it is nearly 1.6%. The comparison of the Nusselt and the Sherwood numbers between water+KCl and water+NaCl leads us to the conclusion that the aqueous solution with lower Lewis number transports maximum heat in the case of free boundaries and opposite is seen in the case of rigid boundaries due to the boundary effect. The many qualitative similarities between the results of artificial and realistic boundaries are highlighted. 2021, Akadiai Kiad Budapest, Hungary.
- Source
- Journal of Thermal Analysis and Calorimetry, Vol-147, No. 4, pp. 3247-3266.
- Date
- 2022-01-01
- Publisher
- Springer Science and Business Media B.V.
- Subject
- Double-diffusive convection; Lorenz model; Nusselt number; Rigid boundaries; Sherwood number
- Coverage
- Kanchana C., Instituto de Alta Investigaci, CEDENNA, Sede Esmeralda, Universidad de Tarapac Av. Luis Emilio Recabarren, Iquique, 2477, Chile; Siddheshwar P.G., Department of Mathematics, CHIRST (Deemed to be University), Bengaluru, 560029, India; Shanker B., Department of Mathematics, CVR College of Engineering, Ranga Reddy District, Telangana, Ibrahimpatnam, 501510, India; Laroze D., Instituto de Alta Investigaci, CEDENNA, Sede Esmeralda, Universidad de Tarapac Av. Luis Emilio Recabarren, Iquique, 2477, Chile, Instituto de Alta Investigaci, CEDENNA, Universidad de Tarapac Casilla 7D, Arica, Chile
- Rights
- Restricted Access
- Relation
- ISSN: 13886150; CODEN: JTACF
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Kanchana C.; Siddheshwar P.G.; Shanker B.; Laroze D., “Convective heat and mass transports and chaos in two-component systems: comparison of results of physically realistic boundary conditions with those of artificial ones,” CHRIST (Deemed To Be University) Institutional Repository, accessed April 28, 2025, https://archives.christuniversity.in/items/show/15173.