Non equlibrium transonic flow past slender bodies

Murthy, KNV and Subramanian, NR (1968) Non equlibrium transonic flow past slender bodies. Technical Report. National Aeronautical Laboratory, Bangalore, India.

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Abstract

This paper deals with the flow past a slender aerofoil placed in a transonic stream which is out of equilibrium. The third order equation representing the disturbance13; velocity potential in a non-equilibrium flow, deduced by Vincenti, has been considered and corrected to account for the inclusion of transonic flow range. The resulting non-linear third order equation has been linearised (by an assumption that holds good in transonic region) and solved using Green's function technique and a Fourier transformation. The source strength function has significant properties of dependence on both aerofoil slope as well as curvature. A non-linear correction to the linear theory has been obtained to take into consideration the characteristics13; of the transonic flow region. The disturbance velocity has been found to drop out rapidly, when drawn as a function of the spatial coordinate, from a quantity determined by frozen Mach number to one determined by equilibrium Mach number. As13; an example, the simple, case of a circular-arc aerofoil has been considered. The whole theory is valid when the relaxation length parameter is not equal to zero and infinity.

Item Type:	Proj.Doc/Technical Report (Technical Report)
Uncontrolled Keywords:	Equilibrium;Turbance velocity potential;Mach number;Curvature; Aerofoil
Subjects:	AERONAUTICS > Aeronautics (General)
Division/Department:	Computational and Theoretical Fluid Dynamics Division, Computational and Theoretical Fluid Dynamics Division
Depositing User:	M/S ICAST NAL
Date Deposited:	18 Dec 2006
Last Modified:	24 May 2010 09:54
URI:	http://nal-ir.nal.res.in/id/eprint/3706

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