Abstract
The direct and inverse boundary value problems for the linear unsteady viscous fluid flow through a closed conduit of a circular annular cross‐section Ω with arbitrary time‐dependent pressure gradient under the third boundary conditions have been investigated.
Highlights
The problems of unsteady fluid flow through a closed conduit of annular crosssection R have been solved by many authors
We shall follow Zayed’s work [7], which requires the determination of the geometrical properties of the circular annular cross-sectlon R from the complete knowledge of Its spectrum, Spec (R), that is
On inserting (3.1), (3.2) and (3.4) into (2.4) we arrive at the solution of our problem when YI’ Y2 >> I
Summary
The problems of unsteady fluid flow through a closed conduit of annular crosssection R have been solved by many authors (see, for example Bansal [I], Muller [2], OJalvo [3], Sanyal [4], Szymanskl [5], and Wadhwa [6]). We shall follow Zayed’s work [7], which requires the determination of the geometrical properties of the circular annular cross-sectlon R from the complete knowledge of Its spectrum, Spec (R), that is
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