# Quiz1 - ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ If v = y...

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Fall 2007 1 ME 416 Computer Assisted Design of Thermal Systems Quiz #1 Closed Book, Closed Notes A valve is often considered an isenthalpic device. Determine how a temperature change gives rise to a volume change for a valve. That is, reduce the partial derivative, h T v

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ME 416 CAD of Thermal Systems Fall 2007 2 Equations for Quiz #1 Base First Order Derivatives T c = T s P P v - = P s T β v = T v P β v - = P v T T κ Notation for Jacobians ( 29 29 29 ( 29 29 29 y v x v y u x u = y x, v u, x y x y
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Unformatted text preview: ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ If v = y, then ( 29 29 29 ( 29 29 29 x u = y x, y u, y ∂ ∂ ∂ ∂ Element interchange: ( 29 ( 29 ( 29 ( 29 ∂ ∂ ∂ ∂ u,v x,y = -v,u x,y Chain rule: ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ∂ ∂ ∂ ∂ ∂ ∂ u,v x,y = u,v r,s r,s x,y ⋅ Reciprocity: ( 29 ( 29 ( 29 ( 29 ∂ ∂ ∂ ∂ u,v x,y = x,y u,v -1 Some Useful Definitions dh = Tds + vdP T v v 1 P ∂ ∂ = β...
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## This note was uploaded on 07/25/2008 for the course ME 416 taught by Professor Somerton during the Fall '07 term at Michigan State University.

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Quiz1 - ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ If v = y...

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