Dimensional analysis has been used in experimental fluid mechanics for over a hundred years. Controllable and uncontrollable variables in an experiment can be efficiently organized into nondimensional groups or parameters. Such nondimensional parameters are used for geometric scaling, and for developing dynamic similitude in experimental processes. Commonly used nondimensional parameters in fluid mechanics include Reynolds number, Mach number, Froude number, Weber number, Strouhal number, etc. Most modern text books and technical papers discuss the use of Buckingham Pi theorem for developing the nondimensionalization process. An often ignored and somewhat older technique is the Rayleigh method. Both the Pi theorem and the Rayleigh method are founded on the principle of dimensional homogeneity, and require some experience in the grouping of physical variables. The present paper uses the Rayleigh method to develop two new nondimensional parameters. A discussion is presented about the use of the parameters in the application of turbine flowmeter calibration and test data analysis. It is shown that data analysis for turbine flowmeters is considerably simplified by the use of the new parameters.
Skip Nav Destination
Article navigation
April 1999
Research Papers
New Nondimensional Parameters in Fluid Mechanics and Their Application to Turbine Flowmeter Data Analysis
S. Mozumdar,
S. Mozumdar
AlliedSignal Engines, P.O. Box 52181, MS 302-201, Phoenix, AZ 85072-2181
Search for other works by this author on:
O. Islam
O. Islam
AlliedSignal Engines, P.O. Box 52181, MS 302-201, Phoenix, AZ 85072-2181
Search for other works by this author on:
S. Mozumdar
AlliedSignal Engines, P.O. Box 52181, MS 302-201, Phoenix, AZ 85072-2181
O. Islam
AlliedSignal Engines, P.O. Box 52181, MS 302-201, Phoenix, AZ 85072-2181
J. Eng. Gas Turbines Power. Apr 1999, 121(2): 249-253 (5 pages)
Published Online: April 1, 1999
Article history
Received:
April 1, 1998
Online:
December 3, 2007
Citation
Mozumdar, S., and Islam, O. (April 1, 1999). "New Nondimensional Parameters in Fluid Mechanics and Their Application to Turbine Flowmeter Data Analysis." ASME. J. Eng. Gas Turbines Power. April 1999; 121(2): 249–253. https://doi.org/10.1115/1.2817113
Download citation file:
Get Email Alerts
Cited By
Inter-Stage Pressure Drop of Multi-Stage Brush Seal with Differentiated Structure
J. Eng. Gas Turbines Power
Mixture Distribution in Spark Ignited Port Fuel Injection Engines: A Review.
J. Eng. Gas Turbines Power
Experimental Investigation of Combustion Dynamics in a High-Pressure Liquid-fueled Swirl Combustor
J. Eng. Gas Turbines Power
Related Articles
Extrapolation and Curve-Fitting of Calibration Data for Differential Pressure Flow Meters
J. Eng. Gas Turbines Power (February,2010)
Theoretical Analysis of Experimentally Observed Perplexing Calibration Characteristics of Ball-in-Vortex Flow-Meter
J. Fluids Eng (September,2005)
Aerodesign and Testing of an Aeromechanically Highly Loaded LP Turbine
J. Turbomach (October,2006)
Related Proceedings Papers
Related Chapters
Simulation of Novel Thermal Mass Flow Meter
International Conference on Measurement and Control Engineering 2nd (ICMCE 2011)
Design and Simulation of a Novel Linear Thermal Mass Flow Meter
International Conference on Measurement and Control Engineering 2nd (ICMCE 2011)
Fluid Mechanics
Engineering Practice with Oilfield and Drilling Applications