Numerical Simulation of Natural Convection between Two Immiscible Fluids in Channel Flow

Wakale, A B (2014) Numerical Simulation of Natural Convection between Two Immiscible Fluids in Channel Flow. Masters thesis, Indian Institute of Technology, Hyderabad.

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Abstract

The buoyancy-driven interpenetration of two immiscible uids in a dierentially heated inclined channel is investigated by solving the Navier-Stokes, the continuity and the energy equations along with CahnHillard equation to track the interface. Fluids are separated by a partition and suddenly allowed to mix under the action of gravitational force. The governing equations are solved on staggered grid nite volume approach with second order accuracy in time integration. A parametric study is conducted to investigate the eects of Reynolds number, Bond number, Marangoni number, density ratio, viscosity ratio and temperature dierence between the walls (T) on ow dynamics of interface instability between two immiscible uids. Results shows that increasing Reynolds number, Bond number, (T) , density ratio and decreasing viscosity ratio destabilizes the ow dynamics by increasing the intensity of vortical structures and`mixing' of the uids. The ow dynamics of vortical structures are altered by temperature gradient between the walls in comparison with isothermal system. The critical Bond number is identied as beyond which the ow dynamics becomes unstable leading to increasing the mixing of the uids. The present results are matching well with the results available in the literature.

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