Formulate an NLP
Not what you're looking for?
The energy used in compressing a gas in 3 stages from an initial pressure
"I" to a final pressure "F" is given by the formula
K*(sqrt(p1/I) + sqrt(p2/p1) + sqrt(F/p2) - 3)
where K is some arbitrary positive constant. Formulate an NLP
whose solution describes how to minimze the energy used in compressing the gas.
a) Using the values I=1 (atmosphere) and F=10, solve the NLP numerically.
b) Based on the optimal p1 and p2 values you got, write down a formula
for the optimal p1 and p2 as a function of I and F.
c) Prove that your conjecture is indeed optimal (take the gradient, etc.)
Purchase this Solution
Solution Summary
This solution helps describes how to minimize the energy used in compressing the gas.
Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Probability Quiz
Some questions on probability