Compression Load Dynamics in a Special Helical Blower: A Modeling Improvement

[+] Author and Article Information
Giovanni Mimmi

Dipartimento di Meccanica Strutturale Università degli studi di Pavia Via Ferrata, 1 I-27100 Pavia, Italye-mail: mimmi@unipv.it

Paolo Pennacchi

Dipartimento di Meccanica Politecnico di Milano Via La Masa, 34 I-20158 Milano, Italye-mail: paolo.pennacchi@polimi.it

J. Mech. Des 123(3), 402-407 (Oct 01, 1999) (6 pages) doi:10.1115/1.1377016 History: Received October 01, 1999
Copyright © 2001 by ASME
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Mimmi, G., and Pennacchi, P., 1998, “Computation of Pressure Loads in the Three-Lobe Supercharger,” Proc. of DETC98: 1998 ASME Design Engineering Technical Conference, Sep. 13–16, 1998, Atlanta.
Mimmi,  G., and Pennacchi,  P., 1999, “Dynamic Loads in the Three-lobe Supercharger,” ASME J. Mech. Des., 121, pp. 602–605
Stone,  R. C., 1988, “The Efficiency of Roots Compressors and Compressors with Fixed Internal Compression,” Proc. Inst. Mech. Eng. IMechE Conf., 202, No. A3, pp. 199–205.
Mimmi,  G., and Pennacchi,  P., 1998, “Analytical Model of a Particular Type of Positive Displacement Blower,” Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci. 213, Part C, pp. 517–526.
Adams,  G. P., and Soedel,  W., 1995, “Computation of Compression Loads in Twin Screw Compressors,” ASME J. Mech. Des., 117, pp. 512–519.
Litvin, F. L., 1994, “Gear Geometry and Applied Theory,” Prentice-Hall, Englewood Cliffs, NJ.


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Rotor lobe geometry on axial section
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Rotor surfaces in 3D representation
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Analytical definition of rotor surface and contact line determination
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2D region frontier, integration domain for the dynamic action estimation
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Reference scheme: blower (a) connected to a reservoir of finite volume (b). Parameters shown: ΔV: volume sent to the outlet by rotor rotation; VM(γ): outlet chamber volume; VS: reservoir finite volume.
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Fluid transportation (shaded region) from lower to higher pressure; this region is connected to the outlet when γ=γk
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Volume of the outlet chamber, closed between the rotors and the case
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Diagram of outlet pressure as function of rotation angle
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Range of rotor rotation angle during which the valve is closed, as function of the compression ratio
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Resultant components of forces as function of rotation angle
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Frequency analysis of force resultant components
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Resultant components of moments as function of rotation angle
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Frequency analysis of moment resultant components
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System isentropic efficiency as a function of compression ratio and outlet reservior volume




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