Film formation
Step 1: Understanding climbing film evaporators. - A climbing film evaporator is designed to evaporate liquids by utilizing thermal gradients that promote liquid rise due to vapor expansion.
Step 2: Identifying key problems in operation. - As the liquid climbs, there is a risk of entrainment, where droplets of liquid are carried away by the vapor stream. - This reduces efficiency and may contaminate the final product.
Step 3: Explanation of incorrect options. - (A) Boiling point of liquid: Not a major issue as evaporators are designed for specific boiling ranges. - (B) Droplet formation: While droplet formation occurs, it is not the primary operational concern. - (D) Film formation: The design of the evaporator ensures proper film formation.
Step 4: Selecting the correct option. Since entrainment of liquid is the main operational issue, the correct answer is (C) Entrainment of liquid.
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:
A digital filter with impulse response $ h[n] = 2^n u[n] $ will have a transfer function with a region of convergence.