Mathematical model for the dynamics of an optical fiber viscometer

Wei-Chih Wang; Joe Ho; Per G. Reinhall

doi:10.1117/12.657555

15 March 2006 Mathematical model for the dynamics of an optical fiber viscometer

Wei-Chih Wang, Joe Ho, Per G. Reinhall

Proceedings Volume 6177, Health Monitoring and Smart Nondestructive Evaluation of Structural and Biological Systems V; 617711 (2006) https://doi.org/10.1117/12.657555
Event: Nondestructive Evaluation for Health Monitoring and Diagnostics, 2006, San Diego, CA, United States

Abstract

This paper presents the analysis of the modes of a viscometer optical fiber vibration based on a simplified mathematical model. The initial quasilinear equation with discontinuous coefficients, which describes the vibration of an optical fiber partially immersed in liquid, is reduced to the telegraph equation with constant effective coefficients. The form of these coefficients is chosen such a way to capture the most important physics of the immersed fiber's vibration. The subsequent analytical solution of the model in an attempt to give results that accurately follow the trends of experimental results.

Citation Download Citation

Wei-Chih Wang, Joe Ho, and Per G. Reinhall "Mathematical model for the dynamics of an optical fiber viscometer", Proc. SPIE 6177, Health Monitoring and Smart Nondestructive Evaluation of Structural and Biological Systems V, 617711 (15 March 2006); https://doi.org/10.1117/12.657555

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