Step 1: Understanding Pseudoplastic Fluids
Pseudoplastic fluids (shear-thinning fluids) have viscosity that decreases with increasing shear rate, but can exhibit high viscosity away from the impeller.
Step 2: Impact on Heat and Mass Transfer
- Density: Does not significantly affect the heat and mass transfer in this context.
- Viscosity: Increases away from the impeller, reducing the flow and limiting mass and heat transfer.
- Conclusion: The primary cause of poor heat and mass transfer is the increase in viscosity, which slows down the flow.
A closed-loop system has the characteristic equation given by: $ s^3 + k s^2 + (k+2) s + 3 = 0 $.
For the system to be stable, the value of $ k $ is: