Poiseuille flow development by eigenfunction expansion method

Kumar, Anand and Yajnik, K (1976) Poiseuille flow development by eigenfunction expansion method. Technical Report. National Aeronautical Laboratory, Bangalore, India.

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    Abstract

    This report deals with the calculation of the development of a channel flow at Reynolds number. The governing equations, which are of the boundary layer form, ass reduced to ordinary differential equations by an expansion in eigenfunctions of the linear problem at large downsteps distances. The roulte, which are obtained by integrating these equations for 2,5 and 5 terms for the initial condition of uniform velocity profiles at the inlet, are copmared with obtained from the boundary-layer equations as well as the nevier stoke equations by using methods. Velocity profiles the expected feature of a uniform central cor with boundary layer near the well.center line velocity, pressure gradient friction quite well with the earlier results slightly the entry, although the expansion has been truncated after very few terms, the development length and the excese pressure drop are also compared.

    Item Type: Proj.Doc/Technical Report (Technical Report)
    Uncontrolled Keywords: Differential equations;Reynolds number
    Subjects: MATHEMATICAL AND COMPUTER SCIENCES > Mathematical and Computer Scienes(General)
    AERONAUTICS > Aerodynamics
    Division/Department: Aerodynamics, Aerodynamics
    Depositing User: Deputy Head Poornima Narayana
    Date Deposited: 04 Sep 2006
    Last Modified: 24 May 2010 09:50
    URI: http://nal-ir.nal.res.in/id/eprint/2622

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