TY - BOOK AU - Deka, Mandeep AU - Tomar, Gaurav advised AU - Kumaran, V advised TI - Stability of wall-bounded compressible shear flows U1 - 620 PY - 2023/// CY - Bangalore PB - IISc KW - Hydrodynamic stability KW - Compressible flows KW - Asymptotic analysis KW - Reynolds numbers N1 - include bibliographic reference and index; PhD; 2023; Mechanical engineering N2 - 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. UR - https://etd.iisc.ac.in/handle/2005/6163 ER -