Graphical, Mechanical, and Electrical Aids for Compressible Fluid Flow

1950 ◽  
Vol 17 (1) ◽  
pp. 37-46
Author(s):  
H. Poritsky ◽  
B. E. Sells ◽  
C. E. Danforth
Keyword(s):  
Fluid Flow ◽  
Analytical Solutions ◽  
Compressible Fluid ◽  
Compressible Fluids ◽  
Two Dimensional ◽  
Derived Relations ◽  
Irrotational Flow ◽  
Compressible Fluid Flow ◽  
Length Width ◽  
Electrical Methods

Abstract Graphical, mechanical, and electrical methods of studying two-dimensional and axially symmetrical irrotational flow of nonviscous compressible fluids are described and examples are given of problems solved by these methods. Rules for the construction of compressible flux plots using wires, beads, and a suitable device for obtaining the desired length-width ratios of the rectangles are derived, and the apparatus used is described. An analogy is described by means of which these problems can be solved by the use of a d-c resistance board, employing variable resistances which are adjusted to conform to the derived relations. Designers and aerodynamicists in need of solution for problems for which no analytical solutions are available can use the methods described in this paper to obtain the required solutions.

Some Comparisons Between Compressible and Incompressible Treatments of Compressible Fluids

1964 ◽  
Vol 86 (3) ◽  
pp. 527-536 ◽  
Author(s):  
R. P. Benedict
Keyword(s):  
Fluid Flow ◽  
Compressible Fluid ◽  
Degree Of Approximation ◽  
Compressible Fluids ◽  
Numerical Examples ◽  
Compressible Fluid Flow

In this paper we are concerned with the degree of approximation made when various common parameters involved in an isentropic, compressible fluid flow are evaluated from incompressible relations. First, compressible and incompressible solutions are derived and presented graphically. Then, ratios between these compressible and incompressible treatments are formed which define various expansion factors; these are tabulated and presented graphically. Several numerical examples illustrate the use of the tables and graphs.

A System Dynamics Modeling Methodology to Predict Transient Phenomena in Compressible Fluid Flow Systems

2011 ◽  
Author(s):  
Kenneth Follen ◽  
Stephanie Stockar ◽  
Marcello Canova ◽  
Yann Guezennec ◽  
Giorgio Rizzoni
Keyword(s):  
Fluid Flow ◽  
Numerical Methods ◽  
Compressible Fluid ◽  
Internal Combustion Engines ◽  
Internal Combustion ◽  
Compressible Fluids ◽  
Combustion Engines ◽  
Lumped Parameter ◽  
Lumped Parameter Models ◽  
Compressible Fluid Flow

The prediction of dynamic phenomena in compressible fluids, such as the air path systems of Internal Combustion Engines (ICEs) has seen an enormous growth in the past years. Striving to improve engine performance, fuel economy and emissions has led to the understanding that significant gains can only be achieved if improvements in engine design can be matched by the ability to closely control engine breathing and combustion performance. The current state of the art in the modeling of ICEs air path systems presents two main approaches, namely the high-fidelity, computationally intensive numerical methods and the low-fidelity, calibration intensive lumped-parameter models. This paper introduces a novel approach for modeling unsteady phenomena in compressible fluids that combines the advantages of numerical methods (high accuracy and low calibration effort) with the limited computation time of lumped-parameter models based on ordinary differential equations (ODEs). The approach is here presented for the one-dimensional nonlinear Euler equations for compressible fluid flow systems, which are particularly relevant for modeling the air path systems of internal combustion engines.

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