Dynamical System Analysis of Thermal Convection in a Horizontal Layer of Nanofluids Heated from Below

Dynamical System Analysis of Thermal Convection in a Horizontal Layer of Nanofluids Heated from Below

The effect of nanofluids on chaotic convection in a fluid layer heated from below was studied in this paper for low Prandtl number based on the theory of dynamical systems. A low-dimensional, Lorenz-like model was obtained using Galerkin-truncated approximations. The fourth-order Runge-Kutta method...

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Veröffentlicht in:Mathematical Problems in Engineering 2012-01, Vol.2012 (2012), p.230-242-017
Hauptverfasser: Jawdat, J. M., Momani, Shaher M., Hashim, Ishak
Format: Artikel
Sprache:eng
Schlagworte:
Chaos theory
Dimensional analysis
Dynamical systems
Free convection
Heat transfer
Magnetic fields
Nanofluids
Nanoparticles
Nonlinear systems
Ordinary differential equations
Prandtl number
Runge-Kutta method
Studies
Systems analysis
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Zusammenfassung:The effect of nanofluids on chaotic convection in a fluid layer heated from below was studied in this paper for low Prandtl number based on the theory of dynamical systems. A low-dimensional, Lorenz-like model was obtained using Galerkin-truncated approximations. The fourth-order Runge-Kutta method was employed to solve the nonlinear system. The results show that inhibition of chaotic convection can be observed when using nanofluids.
ISSN:1024-123X
1563-5147
DOI:10.1155/2012/128943