The Effect of an Adjacent Viscous Fluid on the Transmission of Torsional Stress Waves in a Submerged Waveguide

The effects of an adjacent fluid's viscosity and density on the characteristics of torsional stress waves transmitted in a waveguide with a circular cross section are studied theoretically and experimentally. Expressions for the torsional waves speed, dispersion relations, and attenuation are obtained as functions of the adjacent fluid's viscosity and density. The theoretical results are compared with experimental observations. It is demonstrated that a devices similar to the one described herein can be used as a rugged, real-time, onlines sensor for measuring the viscosity of a fluid with a known density. Such a sensor can measure the viscosity of fluids with a density viscosity product (ρfμ) greater than 100kg2/m4s to a precision of 1% or better Disciplines Engineering | Mechanical Engineering Comments Suggested Citation: Kim, Jin O. Yuzhou Wang, Haim H. Bau. (1991) The effect of an adjacent viscous fluid on teh transmission of torsional stress waves in a submerged waveguide. Journal of the Acoustical Society of America. Vol 89(3). p.1414-1422. Copyright 1991 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Journal of the Acoustical Society of America and may be found at http://scitation.aip.org/getabs/servlet/ GetabsServlet?prog=normal&id=JASMAN000089000003001414000001&idtype=cvips&gifs=yes This journal article is available at ScholarlyCommons: http://repository.upenn.edu/meam_papers/202 The effect of an adjacent viscous fluid on the transmission of torsional stress waves in a submerged waveguide Jin O. Kim, Yuzhou Wang, and Haim H. Bau Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6315 (Received 15 September 1989; accepted for publication 9 October 1990) The effects of an adjacent fluid's viscosity and density on the characteristics of torsional stress waves transmitted in a waveguide with a circular cross section are studied theoretically and experimentally. Expressions for the torsional wave speed, dispersion relations, and attenuation are obtained as functions of the adjacent fluid's viscosity and density. The theoretical results are compared with experimental observations. It is demonstrated that a device similar to the one described herein can be used as a rugged, real-time, on-line sensor for measuring the viscosity of a fluid with a known density. Such a sensor can measure the viscosity of fluids with a density viscosity product (p/p) greater than 100 kg•-/m 4 s to a precision f 1% or better. PACS numbers: 43.85.Dj, 43.20.Mv, 43.20.Tb, 43.40.At