Affiliation:
1. Advanced Computational Facility, School of Mechanical Engineering, Vellore Institute of Technology, Vellore, Tamil Nadu 632014, India
2. Department of Aerospace Engineering, Indian Institute of Space Science and Technology, Thiruvananthapuram, Kerala 695547, India
Abstract
We perform the linear modal stability analysis of a pipe flow subjected to a step-like increment in the flow rate from a steady initial flow with the flow rate, Qi, to a final flow with the flow rate, Qf, at the time, tc. A step-like increment in the flow rate induces a non-periodic unsteady flow for a definite time interval. The ratio, [Formula: see text], parameterizes the increase in the flow rate, and it ranges between 0 and 1. The stability analysis for a pipe flow subjected to a step-like increment in the flow rate from the steady laminar flow ([Formula: see text]) is not reported in the literature. The present work investigates the effect of varying Γ a on the stability characteristics of an unsteady pipe flow. The step-like increment in the flow rate for [Formula: see text] induces a viscous type instability for a definite duration, and the flow is modally unstable. The non-axisymmetric disturbance with azimuthal wavenumber, m = 1, is the most unstable mode. The flow is highly unstable for [Formula: see text], and the flow becomes less unstable with an increase in Γ a. The flow becomes stable before it attains the steady-state condition for all Γ a.
Subject
Condensed Matter Physics,Fluid Flow and Transfer Processes,Mechanics of Materials,Computational Mechanics,Mechanical Engineering
Cited by
5 articles.
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