Unconditional non‐linear stability for a fluid of third grade
Copyright policy )Unconditional non‐linear stability for a fluid of third grade
AbstractThe thermal convection in a layer of a third grade fluid is investigated, with viscosity being a general function of temperature. We develop a non‐linear stability analysis and prove that unconditional non‐linear stability criterion is achieved using a natural energy approach. This shows that, in some sense, the equations for a fluid of third grade are preferable to those for a fluid of second grade or a dipolar fluid. Copyright © 2004 John Wiley & Sons, Ltd.
- Duke University United States
- Durham University United Kingdom
thermal convection, Non-Newtonian fluids, energy method, Forced convection, unconditional nonlinear stability criterion, Nonlinear effects in hydrodynamic stability, Convection in hydrodynamic stability
thermal convection, Non-Newtonian fluids, energy method, Forced convection, unconditional nonlinear stability criterion, Nonlinear effects in hydrodynamic stability, Convection in hydrodynamic stability
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