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stunner5000pt
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Homework Statement
An inclined tube reservoir manometer is constructed as shown in the figure. Analyze the manometer to obtain a general expression for the liquid deflection L in the inclined tube in terms of the applied pressure difference [itex] \Delta p[/itex]. Also obtain a general expression for the manometer sensitivity, and determine the parameter values that gives maximum sensitivity
Homework Equations
The diameter of the large area is D
diameter of the tube is d
H is the difference in heights between the h and H
SGL is the specific gravity of the liquid in question
The Attempt at a Solution
I already solved for L and that expression is used to get the sensitivity
i have no problem getting the sensitivity which is given as
[tex] S=\frac{L}{h_{e}}=\frac{1}{SG_{L}\left(\sin\theta+\left(\frac{d}{D}\right)^2\right)}[/tex]
but they ask to maximize the sensitivity
should i simply differentiate D with respect to theta, D and d and then determine the critical points?
is this enough to maximize sensitivity or i there more i should consider?
thanks for your help