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Stability of wall-bounded compressible shear flows

By:

Deka, Mandeep

Contributor(s):

Material type: Book

BookLanguage: en Publication details: Bangalore : IISc , 2023 .Description: xviii, 237p. col. ill ; 29.1 cm * 20.5 cm e-Thesis 5.861MbDissertation: PhD; 2023; Mechanical engineeringSubject(s):

DDC classification:

620 MAN

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Dissertation note: PhD; 2023; Mechanical engineering Summary: In this work, the linear stability of compressible shear flows in channels and pipes are studied. A steady fully-developed laminar flow of an ideal gas, driven in a channel and a pipe by a constant body acceleration, is considered as the base state. The base flow profiles, being functions of Mach number, are obtained through numerical solution of the Navier-Stokes equations under steady parallel-flow conditions. Small amplitude normal mode perturbations are added to this flow and temporally growing solutions are studied. The evolution equations for the normal modes, that form a linear eigenvalue problem, are solved numerically by Chebyshev-Pseudospectral method. For both channel and pipe flows, the eigenspectra show presence of compressible higher modes that do not have a counterpart in the incompressible limit.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode
E-BOOKS	JRD Tata Memorial Library	620 MAN (Browse shelf(Opens below))	Available		ET00176

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PhD; 2023; Mechanical engineering

In this work, the linear stability of compressible shear flows in channels and pipes are studied. A steady fully-developed laminar flow of an ideal gas, driven in a channel and a pipe by a constant body acceleration, is considered as the base state. The base flow profiles, being functions of Mach number, are obtained through numerical solution of the Navier-Stokes equations under steady parallel-flow conditions. Small amplitude normal mode perturbations are added to this flow and temporally growing solutions are studied. The evolution equations for the normal modes, that form a linear eigenvalue problem, are solved numerically by Chebyshev-Pseudospectral method. For both channel and pipe flows, the eigenspectra show presence of compressible higher modes that do not have a counterpart in the incompressible limit.

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