Abstract

The objective of this investigation was to develop a dimensionless model for predicting the onset of cavitation in torque converters applicable to general converter designs. Dimensional analysis was applied to test results from a matrix of torque converters that ranged from populations comprised of strict geometric similitude to those with more relaxed similarities onto inclusion of all the torque converters tested. Stator torque thresholds at the onset of cavitation for the stall operating condition were experimentally determined with a dynamometer test cell using nearfield acoustical measurements. Cavitation torques, design parameters, and operating conditions were resolved into a set of dimensionless quantities for use in the development of dimensionless empirical models. A systematic relaxation of the fundamental principle of dimensional analysis, geometric similitude, was undertaken to present empirical models applicable to torque converter designs of increasingly diverse design parameters. A stepwise linear regression technique coupled with response surface methodology was utilized to produce an empirical model capable of predicting stator torque at the onset of cavitation with less than 7% error for general automotive torque converter designs.

Highlights

  • Part I of this two-part paper discussed the principles of cavitation inception in the torque converter at stall, acoustical detection with a dynamometer test cell, and dimensional analysis for the strict case of exact geometric scaling

  • The focus of Part II is on the application of dimensional analysis for development of empirical models capable of predicting stator torque cavitation thresholds at stall for a wide range of torque converter designs

  • A stepwise linear regression procedure reduced the complexity of each response surface (RS) model by only including statistically significant dimensionless regressors

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Summary

INTRODUCTION

Part I of this two-part paper discussed the principles of cavitation inception in the torque converter at stall, acoustical detection with a dynamometer test cell, and dimensional analysis for the strict case of exact geometric scaling. The focus of Part II is on the application of dimensional analysis for development of empirical models capable of predicting stator torque cavitation thresholds at stall for a wide range of torque converter designs. The formulation of a generalized torque converter cavitation prediction model requires knowledge of operating thresholds at cavitation For this investigation, these were obtained by relaxing geometric similitude and testing a matrix of converters designs on a dynamometer setup for determination of Ts,i, stator torque at the onset of cavitation. Previous experimental work by [8] found that the onset of cavitation consistently correlated with the torus and element geometries of the torque converter Given these similarities, it is expected that the use of dimensional analysis will not be hindered due to relaxed geometric similitude among the tested parts. A similar approach of combining RSM and dimensional analysis was demonstrated by [9] for the optimization of stresses and buckling loads of an isotropic plate with an abrupt change in thickness

Element design modifications and cavitation
Parameters for dimensional analysis
Response surface methodology
Dynamometer test cell
Matrix of experimental torque converters
RESULTS AND DISCUSSION
Geometric scaling
Multiple torus design
Multiple pump and stator design
Generalized torque converter design
CONCLUSIONS
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