While it is recognized that research, study, analysis, prediction, and/or theoretical solutions of high speed oscillating compressible flows, muzzle blasts, and nuclear explosion blast wave propagations are exceedingly complex tasks, it is also recognized that further advances in the state-of-the-art in such areas and related devices and their applications can best be achieved through basic efforts and analysis utilizing insights developed from phenomenological understanding and empirical information.  An effort is made here to obtain time dependent solutions.  The approach is based on unsteady viscous and heat conducting compressible flow model as applied to analyzing the highly complex resonance tube heating phenomenon.  To make the problem tractable from practical considerations, a simplified resonance tube model is used.  The one dimensional time-dependent viscous and heat conducting compressible flow equations for the oscillating flow in the tube are developed for numerical solutions.  The calculated end wall temperatures are compared with available experimental data.

A solution of the highly complex unsteady high speed oscillating compressible flow field inside a cylindrical tube has been obtained numerically, assuming one dimensional, viscous, and heat conducting flow, by solving the appropriate fluid dynamic and energy equations.  The tube is approximated by a right circular cylinder closed at one end with a piston oscillating at very high resonant frequency at the other end.  An iterative implicit finite difference scheme is employed to obtain the solution.  The scheme permits arbitrary boundary conditions at the piston and the end wall and allows assumptions for transport properties.  For the example considered herein, the solution predicts a rise of 95^o^F in the mean end wall temperature, from 60^o^F to 155^o^F, in 14.313 milliseconds which is in good agreement with the experimentally observed values.  The solution would also be valid for tapered tubes if the variations in the cross-sectional area are small.  In successfully predicting the time dependent results, an innovative simple but stable solution of unsteady fluid dynamic and energy equations is provided here for wide ranging research, design, development, analysis, and industrial applications in solving a variety of complex fluid flow heat transfer problems.  The method is directly applicable to pulsed or pulsating flow and wave motion thermal energy transport, fluid-structure interaction heat transfer enhancement, and fluidic pyrotechnic initiation devices.  It can further be easily extended to cover muzzle blasts and nuclear explosion blast wave propagations in one dimensional and/or radial spherical coordinates with or without including energy generation / addition terms.


Time-Dependent Solution of Unsteady Fluid Flow Equations for High Speed Oscillating Compressible Flows and Blast Wave Propagations

Division / Sponsors: 
Power Division & Nuclear Engineering Division (NED)

Power Conference
Paper Proceedings: https://asmedigitalcollection.asme.org/POWER/POWER2020/volume/83747

International Conference on Nuclear Engineering
Paper Proceedings: https://asmedigitalcollection.asme.org/ICONE/ICONE2020/volume/83761

POWER-ICONE - Virtual Conference

Supporting the need among researchers worldwide for additional online and multimedia content, ASME now offers the ASME Conference Video Collection. This platform will collect and provide long-term access to conference presentation videos, encompassing all technology areas within ASME's technical conference and events program. About 30,000-40,000 engineers across all mechanical engineering and related disciplines participate in ASME conferences each year. This includes authors of approximately 6,000 to 8,000 technical papers published by ASME, the majority of whom also submit video presentations for our virtual conferences. The video collection will be available as an add-on to existing product packages or as a separate subscription.