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Why Numerical Method? CHAPTER 6 THERMODYNAMIC PROPERTY RELATION 02/05/2012 Lecture on Thermodynamic Property Relation by Tariku Negash (BED) 1 02/05/2012 Lecture on Thermodynamic Property Relation by Tariku Negash (BED) 6.1 Introduction  In the solution of engineering problems it is essential to be able to determine the values of the thermodynamic properties.  While some can be directly measured such as P, v, T others such as u, h, s are not directly measured
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  Why Numerical Method?   CHAPTER 6THERMODYNAMICPROPERTY RELATION 02/05/2012 Lecture on Thermodynamic Property Relation by Tariku Negash (BED)1  02/05/2012 Lecture on Thermodynamic Property Relation by Tariku Negash (BED) 6.1 Introduction    In the solution of engineering problems it is essential to be able to determine thevalues of the thermodynamic properties.  While some can be directly measured such as P, v, T others such as u, h, s arenot directly measured  so, one of the major tasks of thermodynamics is to provide basic equations toevaluate the above un measured properties from measurable property data. 2  02/05/2012 Lecture on Thermodynamic Property Relation by Tariku Negash (BED) 6.2 Fundamentals of Partial Derivative    Mathematical test is available from partial differential calculus todetermine whether the total differential of the function is an exactdifferential. x=x(y , z);6.16.2Where: -6.3 dz z xdy y xdx  y z           Ndz Mdydx  and  y x M   z       y  z x N        y x x x N and  y x x z M   z y          22 ;  z y y N  z M       3  02/05/2012 Lecture on Thermodynamic Property Relation by Tariku Negash (BED) 6.3 The Maxwell Relation  The Maxwell relation is equations that relate the partial derivative of P,v ,T and S of a simple compressible substance to other.  They are obtained from the four Gibbs equations by exploiting theexactness of the differential of the thermodynamic properties.  Two of them are:-6.46.5 6.31 The Gibbs and Helmholtz Relation 6.66.7 Tsua  Tshg  PdvTdsdu  vPdpTdsdh  4
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