Abstract
Viscosity effects are present in every flow. If, however, the momentum forces acting in the flow are much larger than the viscous forces (large Reynolds number), the latter can be neglected. Flow with such properties — inviscid flows — can be described with the Euler equations, or even with the potential equation. The latter holds if the flow in addition is irrotational, and if compressibility effects are weak.
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References
Bird, R.B., Stewart, W.E., Lightfoot, E.N.: “Transport Phenomena.” J. Wiley & Sons, New York, London, Sydney, 1966.
Schlichting, H.: “Boundary-Layer Theory.” McGraw-Hill Book Comp., New York, 1979.
Rosenhead, L. (ed.): “Laminar Boundary Layers.” Oxford at the Clarendon Press, 1963.
White, F.M.: “Viscous Fluid Flow.” McGraw - Hill, New York, 1974.
Vincenti, W.G., Kruger, C.H.: “Physical Gas Dynamics.” J. Wiley & Sons, New York, London, Sydney, 1965.
Lighthill, M.J.: “Introduction Boundary-Layer Theory.” In Ref.3, pp.46–113.
Hirschel, E.H.: “On the Creation of Vorticity and Entropy in the Solution of the Euler Equations for Lifting Wings.” MBB-LKE122-AERO-MT-716, 1985.
Nash, J.F., Patel, V.C.: “Three-Dimensional Turbulent Boundary Layers.” SBC Technical Books, Atlanta, 1972.
Hirschel, E.H., Kordulla, W,: “Shear Flow in Surface Oriented Coordinates.” Vol.4 of Notes on Numerical Fluid Mechanics, Vieweg, Braunschweig/Wiesbaden, 1981.
Hirschel, E.H.: “Boundary-Layer Coordinates on General Wings and Fuselages.” ZFW, Vol.6, No.3, 1982, pp.194202.
Monnoyer, F.: “Calculation of Three-Dimensional Attached Viscous Flow on General Configurations with Second-Order Boundary-Layer Theory.” ZFW, Vol. 14, No. 1 /2, 1990, pp. 95–108.
Van den Berg, B., Humphreys, D.A., Krause, E., Lindhout, J.P.F.: “ Three-Dimensional Boundary Layers - Calculations and Experiments.” Vol.19 of Notes on Numerical Fluid Mechanics, Vieweg, Braunschweig/ Wiesbaden, 1988.
Fischer, T., Ehrenstein, U., Meyer, F.: “Theoretical Investigation of Instability and Transition in the DFVLR-F5 Swept-Wing Flow.” In: Zierep, J., Oertel, H. (eds.): Symposium Transsonicum III. Springer, BerlinHeidelberg-New York, 1989, pp. 243–252.
Bushnell, D.M., Malik, M.R., Harvey, W.D.: “Transition Prediction in External Flows via Linear Stability Theory.” In: Zierep, J., Oertel, H. (eds.): Symposium Transsonicum III. Springer, Berlin-Heidelberg-New York, 1989. pp. 225–242.
Hirschel, E.H.: “Computation of Three-Dimensional Boundary Layers on Fuselages.” J. of Aircraft, Vol. 21, No. 1, 1984, pp. 23–29.
Hirschel, E.H., Bretthauer, N., Röhe, H.: “Theoretical and Experimental Boundary Layer Studies on Car Bodies.” J. Intern. Assoc. for Vehicle Design, Vol. 5, No. 5, 1984, pp. 567–584.
Hirschel, E.H.: “Evaluation of Results of Boundary-Layer Calculations with Regard to Design Aerodynamics.” In: Computation of Three-Dimensional Boundary Layers Including Separation. AGARD-R-741, 1986, pp.5–1 to 5–29.
Fernholz, H.H., Krause, E. (eds.): “Three-Dimensional Boundary Layers.” Springer, Berlin-Heidelberg, 1982.
N.N.: “Computation of Three-Dimensional Boundary Layers Including Separation.” AGARD-R-741, 1986.
Lighthill, M.J.: “On Displacement Thickness.” J. Fluid. Mech., Vol. 4, 1958, pp. 383–392.
Lock, R.C., Firmin, M.C.P.: “Survey of Techniques for Estimating Viscous Effects in External Aerodynamics.” In: Roe, P.L. (ed.): Numerical Methods in Aeronautical Fluid Dynamics. Academic Press, London, 1982, pp. 337–430.
Schumann, U., Friedrich, R. (eds.): “Direct and Large-Eddy Simulation of Turbulence”. Vol.15 of Notes on Numerical Fluid Mechanics, Vieweg, Braunschweig/ Wiesbaden, 1986.
Peake, D.J., Tobak, M.: “Three-Dimensional Interaction and Vortical Flows with Emphasis on High Speeds.” AGARDograph No. 252, 1980.
Dallmann, U.: “Topological Structures of Three-Dimensional Flow Separation.” AIAA-Paper 83–1735, 1983.
Hornung, H., Perry, A.E.: “Some Aspects of Three-Dimensional Separation, Part 1: Stream-Surface Separation.” ZFW, Vol. 8, No. 1, 1984, pp. 77–87.
Wu, J.-Z., Gu, J.W., Wu, J.-M.: “Steady Three-Dimensional Fluid Particle Separation from Arbitrary Smooth Surface and Formation of Free Vortex Layers.” ZFW, Vol. 12, No. 2, 1988, pp. 89–98.
Shang, J.S.: “An Assessment of Numerical Solutions of the Compressible Navier-Stokes Equations.” J. of Aircraft, Vol. 22, No. 5, 1985, pp. 353–370.
Fujii, K., Obayashi, S.: “Navier-Stokes Simulations of Transonic Flows over a Wing-Fuselage Combination.” AIAA-Journal, Vol. 25, No. 12, 1987, pp. 1587–1596.
Kordulla, W. (ed.): “Numerical Simulation of the Transonic DFVLR-F5 Wing Experiment - Towards the Validation of Viscous Wing Flow Codes.” Vol.22 of Notes on Numerical Fluid Mechanics, Vieweg, Braunschweig/Wiesbaden, 1988.
Melnik, R.E., Chow, R.: “Asymptotic Theory of Two-Dimensional Trailing-Edge Flows.” NASA SP-347, 1975.
Dargel, G., Thiede, P.: “Viscous Transonic Airfoil Flow Simulation by an Efficient Viscous-Inviscid Interaction Method.” AIAA-Paper No. 87–0412, 1987.
Hirschel, E.H., Schmatz, M.A.: “Zonal Solutions for Viscous Flow Problems.” In: Hirschel, E.H. (ed.): Finite Approximations in Fluid Mechanics, DFG-Priority Research Programme, Results 1983–1985. Vol. 14 of Notes on Numerical Fluid Mechanics, Vieweg, Braunschweig/Wiesbaden, 1986, pp. 99–112.
Schmatz, M.A., Hirschel, E.H.: “Zonal Solutions for Airfoils Using Euler, Boundary-Layer and Navier-Stokes Equations.” In: Applications of Computational Fluid Dynamics in Aeronautics. AGARD CP 412, 1986, pp.20–1 to 20–13.
Schmatz, M.A.: “Simulation of Viscous Flows by Zonal Solutions of the Euler, Boundary-Layer and NavierStokes equations.” ZFW, Vol.11, No. 4 /5, 1987, pp. 281–290.
Wanie, K.M., Schmatz, M.A., Monnoyer, F.: “A Close Coupling Procedure for Zonal Solutions of the Navier-Stokes, Euler and Boundary-Layer Equations. ZFW, Vol. 11, No. 6, 1987, pp. 347–359.
Monnoyer, F., Wanie, K.M., Schmatz, M.A.: “Calculation of the Three-Dimensional Viscous Flow Past Ellipsoids at Incidence by Zonal Solutions.” In: Deville, M. (ed.): Proc. 7th GAMM-Conf. on Num. Meth. in Fluid Mechanics. Vol. 20 of Notes on Numerical Fluid Mechanics, Vieweg, Braunschweig Wiesbaden, 1988, pp. 229–238.
Schmatz, M.A., Monnoyer, F., Wanie, K.M., Hirschel, E.H.: “Zonal Solutions of Three-Dimensional Viscous Flow Problems.” In: Zierep, J., Oertel, H. (eds.): Symposium Transsonicum III. Springer, Berlin-Heidelberg-New York, 1989, pp. 65–74.
Wanie, K.M.: “Simulation dreidimensionaler viskoser Strömungen durch lokale Lösung der Navier-Stokesschen Gleichungen.” Doctoral Thesis, München, 1988.
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Eberle, A., Rizzi, A., Hirschel, E.H. (1992). Coupling of Euler Solutions to Viscous Models. In: Numerical Solutions of the Euler Equations for Steady Flow Problems. Notes on Numerical Fluid Mechanics (NNFM), vol 48. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-06831-0_9
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DOI: https://doi.org/10.1007/978-3-663-06831-0_9
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