Accession Number : ADA264693


Title :   Some Implications of a Differential Turbomachinery Equation With Viscous Correction


Descriptive Note : Technical rept.


Corporate Author : NAVAL SURFACE WARFARE CENTER CARDEROCK DIV BETHESDA MD MACHINERY RESEARCH AND DEVELOPMENT DIRECTORATE


Personal Author(s) : Urbach, Herman B


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a264693.pdf


Report Date : Mar 1993


Pagination or Media Count : 25


Abstract : A differential equation describing the energy transfer between a fluid and a body moving in that fluid was derived. The derivation, based upon the Coriolis form of the Navier-Stokes equation, contains a rigorous viscous correction. For inviscid ideal cases, the equation demonstrates that the rate of total enthalpy transfer from (or to) the system is a function of the transverse component of the pressure gradient. Therefore, for practical turbomachinery rotors, the derivative, del p/del theta can never vanish. On integration of the differential equations, a form of the Euler Turbomachinery Equation with viscous correction is derived. The resultant form contains two distinct work rate terms for the axial and radial components of the flow. The fact that integration yields a result which approximates the classic Euler Turbomachinery Equation constitutes confirmation of the derivation. An application of the equation to an ideal infinite linear cylinder with bound vorticity was developed, yielding the expected known result.


Descriptors :   *EULER EQUATIONS , *VISCOUS FLOW , *TURBOMACHINERY , ENERGY TRANSFER , CORIOLIS EFFECT , ENTHALPY , ROTORS , NAVIER STOKES EQUATIONS


Subject Categories : Fluid Mechanics


Distribution Statement : APPROVED FOR PUBLIC RELEASE