Use Lagrange multiplier techniques to find the local extreme values of the given function subject to the stated constraint. If a
ppropriate, determine if the extrema are global. (If a local or global extreme value does not exist enter DNE.) f(x, y)
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Answer:
Explanation:
Compression ratio:
Compression ratio is the ratio of volume in the cylinder.Generally it is denoted by r.
The compression ratio for Otto cycle is about 8 to 12.But the compression ratio of diesel engine is about 14 to 25.
So from the Otto cycle compression ratio can be define as
As we know that efficiency defines as the ratio of work out to the heat input.In the Otto cycle the efficiency is given as in terms of compression ratio r as
Where γ is the heat capacity ratio.
