Principles of turbomachinery

[...]... application of the first law of thermodynamics to the dt in Fig 1 1 1 yields the equation (follonfing system at time f and time f Shapiro, 1953) + O n the RHS of equation (1.20) the first bracket is the change in internal energy of the fluid in the control volume the second is the difference 14 Fundamental principles Control volume (compressor) 0 b Volume out of control volume System ~ o l l m out e of control... velocity axial component of absolute velocity normal component of absolute velocity isentropic velocity (equation 1.34) radial component of absolute velocity peripheral component of absolute velocity relative velocity peripheral component of relative velocity loss coefficients (equation 4.27) blade number or position angle made by absolute velocity angle made by relative velocity ratio of specific heats stagger... factor angular velocity xv rad sCi Subscripts 1, 2 etc indicate the point of reference For a complete definition of blade terminolog!, please refer also to Fig 4.2 and Table 4.1 Fundamental principles 1.1 Introduction An important class of fluid machine has, as its characteristic, the transfer of energy between a continuous stream of fluid and an element rotating about a fixed axis Such a machine is classed... thus to work moment of momentum equations for elemental areas of flow at the points of entry and exit will be written down The normal fluid velocities are V,, and Reaction 3 VIl2 If elemental areas of flow d a , and du2 are examined the moments of momentum entering the rotor at 1 and 2 are given by dM1 = ( P \ ' ~ I ~ Q I ) V " I R I dM2 = (p\',?daz) VU2R2 Thus the total moments of momentum are MI =... illustration of the main points of the text, and to give a feel for both the shape of the velocity triangles and the sizes of the velocity vectors that normally apply They are of necessity simplified, and must not be regarded as representing current practice in all respects No problems for student solution have been provided Teachers normally prefer to devise their own material, and may obtain copies of examination... total or a%\tatic to static The choice of efficiency depends on the system in which the compressor is onation conditions at placed tpl-.,- being appropriate for situations where sta= inlet and outlet are proper indexes of performance Th? equations apply to the \ . illustration of the main points of the text, and to give a feel for both the shape of the velocity triangles and the sizes of the velocity vectors that normally apply. They are of necessity. measure of the relative proportions of energy transfer obtained by static and dynamic pressure change. It is often known as the degree of reaction, or more simply 4 Fundamental principles. appreci- ation of points of similarity or difference in approach. No attempt has been made to co-er detailed points of design or stressing. though the cited references and the body of information