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Euler calculations for flows around longitudinally accelerated profiles and profiles in shear flow

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Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NONUFM,volume 60))

Summary

The present paper is concerned with steady and unsteady flows around wing profiles, in particular with longitudinally accelerated flows in the transonic flow regime. Unsteadiness can be caused actively by an unsteady motion of the considered body itself, like a Mach number oscillation or passively by an unsteady or inhomogeneous incoming flowfield. Here investigations are performed with the Euler method of Yee, Roe and Davis for a NACA 0012 airfoil, discretizing the evaluation region by a structured multiblock grid. First a short overview of the importance of longitudinally accelerated flows is given. The used Euler method and the grid generation algorithm are explained in their basics. Results are presented for two flow types, namely for a horizontal oscillation at two different reduced frequencies and for the steady flow in an inhomogeneous incoming flowfield. The behaviour of the aerodynamic coefficients is analyzed with special regard to the influence of shock motion.

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Abbreviations

cd, cl, cm, cp :

drag, lift, moment, pressure coefficient

Δh:

height of the shear wind field

k:

reduced frequency

l:

wing chord

M:

Mach number

R:

matrix of the right eigenvectors of the Jacobian

x, y, z:

cartesian coordinates

α:

angle of attack

φ:

phase shift

τ:

dimensionless time

ξ, η, ζ:

curvilinear coordinates

References

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© 1997 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden

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Weishäupl, C. (1997). Euler calculations for flows around longitudinally accelerated profiles and profiles in shear flow. In: Körner, H., Hilbig, R. (eds) New Results in Numerical and Experimental Fluid Mechanics. Notes on Numerical Fluid Mechanics (NNFM), vol 60. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-86573-1_48

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  • DOI: https://doi.org/10.1007/978-3-322-86573-1_48

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-322-86575-5

  • Online ISBN: 978-3-322-86573-1

  • eBook Packages: Springer Book Archive

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