Dynamics of Cross Flow Heat Exchanger Tubes with Multiple Loose Supports

Anwar Sadath, K T (2014) Dynamics of Cross Flow Heat Exchanger Tubes with Multiple Loose Supports. Masters thesis, Indian Institute of Technology Hyderabad.

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Abstract

Dynamics of cross ow heat exchanger tubes with two loose supports has been studied. The analytical model of a cantilever beam that include the time delayed displacement term along with two restrained spring forces has been used to model the flexible tube. The model consists of one loose support placed at the free end of the beam and the other at the mid-span of the beam. The critical flow has been obtained after solving a free vibration model of the system. The beam equation is discretized to five second order delay differential equations using Galerkin approximation, and solved numerically. It has been found that, for ow velocity less than the critical ow velocity the system shows a positive damping leading to a stable response. Beyond the critical velocity, the system becomes unstable, but a further increase in the velocity leads to the formation a negative damping which stabilize the system at an amplified oscillatory state. For a sufficiently high ow velocity the tube impacts on the loose supports and generates more complex and chaotic vibrations. The loose supports have been modelled as a cubic spring and a tri-linear spring. The effect of spring constants and free-gap of the loose support on the dynamics of the tube has been studied.

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IITH Creators:
IITH CreatorsORCiD
Item Type: Thesis (Masters)
Uncontrolled Keywords: TD131
Subjects: ?? sub4.9 ??
Divisions: Department of Physics
Depositing User: Team Library
Date Deposited: 08 Apr 2015 10:49
Last Modified: 07 Jul 2015 04:22
URI: http://raiith.iith.ac.in/id/eprint/1448
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