Abo Bibliothek: Guest
Digitales Portal Digitale Bibliothek eBooks Zeitschriften Referenzen und Berichte Forschungssammlungen
International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Druckformat: 2152-5102
ISSN Online: 2152-5110

Volumes:
Volumen 46, 2019 Volumen 45, 2018 Volumen 44, 2017 Volumen 43, 2016 Volumen 42, 2015 Volumen 41, 2014 Volumen 40, 2013 Volumen 39, 2012 Volumen 38, 2011 Volumen 37, 2010 Volumen 36, 2009 Volumen 35, 2008 Volumen 34, 2007 Volumen 33, 2006 Volumen 32, 2005 Volumen 31, 2004 Volumen 30, 2003 Volumen 29, 2002 Volumen 28, 2001 Volumen 27, 2000 Volumen 26, 1999 Volumen 25, 1998 Volumen 24, 1997 Volumen 23, 1996 Volumen 22, 1995

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v26.i4.60
pages 471-484

On Zhukovsky's Vortical Theory for Describing Flow Past a Propeller

V. S. Vozhdayev
E. S. Vozhdayev

ABSTRAKT

The blade-based theory of a propeller is developed by providing exact solutions which do not require numerical integration of velocities from semi-infinite spiral vortices. The induced speed on a lifting line is shown to be describable in terms of coefficients of speed harmonics being multiples of the total number of blades. Speed harmonics of a k-blade propeller are shown to be equivalent to the respective harmonics of a single-blade propeller which are multiplied by the number of blades; this simplifies computation drastically. The first term in the series is the zero-order harmonic of an instantaneous speed; it is the Zhukovsky solution for the induced speed of a propeller with infinitely numerous blades. The second term in the series is the coefficient for the k-th speed harmonic, the third one for the 2k-th one, etc. This growth of the order of harmonics is revealed to drastically reduce amplitudes of the harmonics and accelerate convergence, especially for propellers with large numbers of blades. It is shown that kernels of these coefficients may be integrated analytically over the interval {0,∞} and transformed into a modified first-order Bessel function whose argument is a multiple of the harmonic order. The solutions are implemented in a “rapid” program for aerodynamic calculation of a propeller. An example analysis of circulation, instantaneous speeds, and total propeller characteristics is provided. Also, the article includes a brief review of fundamental studies by Professor Zhukovsky which have been the basis for the development of propeller aerodynamics research and helicopter technologies.


Articles with similar content:

NONSTATIONARY FLOW OVER THE LIFTING ROTOR FOR REGIMES OF STEEP GLIDING AND VORTEX RING
TsAGI Science Journal, Vol.43, 2012, issue 3
Valentina Michailovna Scheglova
MODE BASIS DERIVATION BY USING INTEGRAL EQUATION TECHNIQUE FOR A CIRCULAR DIELECTRIC WAVEGUIDE
Radio Physics and Radio Astronomy, Vol.2, 2011, issue 2
M. N. Legenkiy
ANALYSIS OF TIME-DEPENDENT VORTEX SHEDDING BY MEANS OF STREAMFUNCTIONS' STRICTLY ROTATIONAL COMPONENT
Journal of Flow Visualization and Image Processing, Vol.10, 2003, issue 1-2
Giancarlo Alfonsi
NUMERICAL VISUALIZATION OF UNSTEADY VORTEX SHEDDING
Journal of Flow Visualization and Image Processing, Vol.12, 2005, issue 2
Giancarlo Alfonsi
A REVIEW ON THE TIME-DEPENDENT VORTEX SHEDDING BY MEANS OF STREAMFUNCTIONS' STRICTLY ROTATIONAL COMPONENT
Journal of Flow Visualization and Image Processing, Vol.24, 2017, issue 1-4
Giancarlo Alfonsi