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    Nonlinear Dynamical Systems, Their Stability, and ChaosLecture notes from the FLOW NORDITA Summer School on Advanced Instability Methods for Complex Flows, Stockholm, Sweden, 2013 

    Source: Applied Mechanics Reviews:;2014:;volume( 066 ):;issue: 002:;page 24802
    Author(s): Marathe, Amol; Govindarajan, Rama
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This introduction to nonlinear systems is written for students of fluid mechanics, so connections are made throughout the text to familiar fluid flow systems. The aim is to present how nonlinear systems are qualitatively ...
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    Global Linear Instability of Flow Through a Converging–Diverging Channel 

    Source: Journal of Fluids Engineering:;2016:;volume( 138 ):;issue: 003:;page 31301
    Author(s): Jotkar, Mamta R.; Swaminathan, Gayathri; Sahu, Kirti Chandra; Govindarajan, Rama
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The global linear stability, where we assume no homogeneity in either of the spatial directions, of a twodimensional laminar base flow through a spatially periodic converging–diverging channel is studied at low Reynolds ...
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    The Effect of Initial Momentum Flux on the Circular Hydraulic Jump 

    Source: Journal of Fluids Engineering:;2015:;volume( 137 ):;issue: 006:;page 61301
    Author(s): Vishwanath, K. P.; Dasgupta, Ratul; Govindarajan, Rama; Sreenivas, K. R.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Earlier studies on the circular hydraulic jump have shown that the radial position of the hydraulic jump depends on the flow rate, gravity, and fluid viscosity. In this study, results from numerical simulations and experiments ...
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