RAMESH BHORANIYA
Articles written in Sadhana
Volume 47 All articles Published: 8 August 2022 Article ID 0154
Receptivity and sensitivity analysis of Jeffery-Hamel flow
RAVI KANT VISHAL SHARMA RAMESH BHORANIYA NARAYANAN VINOD
In local stability framework, receptivity and sensitivity analysis for Jeffery-Hamel (JH) flow for converging and diverging angles are presented here. The frequencies are pointed out, upon which the internal eigenfrequencyof the system resonates with that of external forcing frequencies. This resonance is often characterized as a starting step of disturbance growth of internal disturbances influenced from external environment disturbance. Identifying and avoiding such frequencies in external disturbance environment apriori, can certainly help delay in transition process. A mathematical model as a harmonically driven input-output system is formulated (through resolvent norm) to quantify the amplification of energy and identifying the resonant external frequencies of the system. Sensitivity analysis is also mapped by resolvent norm by highlighting the most sensitive eigenvalues in the pseudospectrumof the system. Numerical simulation is done for small angles of converging and diverging JH flow, for which parallel flow assumptions are also valid. For numerical discretization, Chebyshev spectral method is utilized. The wall normal direction were discretized at Chebyshev collocation points in order to achieve higher accuracy.We have studied three different cases for near critical Reynolds number values. In 2D diverging JH flow case (at wavenumbers
Volume 48, 2023
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