Nonlinear hydrodynamic stability analysis is used to analyze the response of a chemically reactive fluid to finite amplitude perturbations. The constitutive equation used consists of that of an incompressible Newtonian fluid with an added active stress term. This added term represents a coupling of concentration and temperature gradients in the stress tensor. This constitutive relation was proposed in an attempt to describe the protoplasm of living cells. The system is analyzed for both zero and first order reaction kinetics. Three basic problems are considered: (1) active stress with no body force term, (2) active stress with a gravitational body force, and (3) a gravitational body force with no active stress term. The relevant dimensionless groups in these problems are an active stress number, the heat and mass Grashof numbers, the Prandtl number, and the Schmidt number.
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- Chemical Reactions;
- Newtonian Fluids;
- Stress Analysis;
- Fluid Mechanics and Heat Transfer