A note on irrotational viscous flow

Physics of Fluids

Volumn 17, Issue 10, 2005, Pages

  Sirakov, B T ^a,b   Greitzer, E M ^a   Tan, C S ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

^b Honeywell Turbo Technologies   (United States)

Author keywords

Enthalpy; Stagnation flow; Vortices

Indexed keywords

ENTHALPY; PRESSURE EFFECTS; STRESSES; VORTEX FLOW;

IRROTATIONAL FLOW; STAGNATION FLOW; VISCOUS STRESSES;

VISCOUS FLOW;

ENTHALPY; PRESSURE EFFECTS; STRESSES; VISCOUS FLOW; VORTEX FLOW;

EID: 33645742021     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2104550     Document Type: Article

References (15)

1. G.K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, Cambridge, UK, 1967).
2. F.S. Sherman, Viscous Flow (McGraw-Hill, New York, 1990).
3. F.M. White, Viscous Fluid Flow (McGraw-Hill, New York, 1991).
4. D. D. Joseph and T. Y. Liao, "Potential flows of viscous and viscoelastic fluids," J. Fluid Mech. 265, 1 (1994). jfl JFLSA7 0022-1120
5. D. D. Joseph and J. Wang, "The dissipation approximation and viscous potential flow," J. Fluid Mech. 505, 365 (2004). jfl JFLSA7 0022-1120 10.1017/S0022112004008602
6. As stated by Joseph (see Ref. 7), "In all cases in which potential flows satisfy the Navier Stokes equations..., it is neither necessary nor useful to put the viscosity to zero."
7. D. D. Joseph, "Viscous potential flow," J. Fluid Mech. 479, 191 (2003). jfl JFLSA7 0022-1120 10.1017/S0022112002003634
8. E.M. Greitzer, C.S. Tan, and M.B. Graf, Internal Flow: Concepts and Applications (Cambridge University Press, Cambridge, UK, 2004).
9. H. Schlichting, Boundary Layer Theory (McGraw-Hill, New York, 1977).
10. For nonadiabatic boundary conditions, the entropy can increase or decrease along a streamline depending on the heat added or removed from a given fluid particle.
11. t/T→1.
12. H. Lamb, Hydrodynamics, 6th ed. (Dover, New York, 1945).
13. F.B. Hildebrand, Advanced Calculus for Applications (Prentice-Hall, Englewood Cliffs, NJ, 1968).
14. Equation (17) is a two-dimensional version of the general expression, given as Eq. (63) in Wang et al (see Ref. 15).
15. J. Wang, D. D. Joseph, and T. Funada, "Viscous contributions to the pressure for potential flow analysis of capillary instability of two viscous fluids," Phys. Fluids 17, 052105 (2005). phf PHFLE6 1070-6631 10.1063/1.1914573