More accurate alpha values using an indirect approach: Through a more accurate central film thickness formula

Harry van Leeuwen

More accurate alpha values using an indirect approach: Through a more accurate central film thickness formula

Harry van Leeuwen

Power & Flow

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Abstract

Previous publications have shown that numerical calculations on the central film thickness in EHL lubricated circular contacts approach the measured values very closely. With an approximation formula for the numerical results, the pressure viscosity coefficient of the viscosity of liquids (alpha) can be determined. It is customary to write such an approximation formula as a product of powers of nondimensional exponents. By now changing the value of alpha in this formula, to its best value, the best possible approach to the experiments is created.
The issue then is whether it is possible to find a better approximation formula for the central film thickness than the best that presently exists.

The publication shows the requirements which the exponents in the approximation formula must meet. Then a considerable number of propositions fall short. A new approach is needed.
A better approach formula appears feasible, and the result is about 25% less inaccurate than the best formula so far, for three series of measurements.

Translated title of the contribution	Nauwkeuriger alfawaarden gebruikmakend van een indirecte methode: Door een nauwkeuriger formule voor de centrale filmdikte
Original language	English
Title of host publication	14. Arnold Tross Kolloquium, May 25th, 2018
Editors	Erik Kuhn
Place of Publication	Aachen
Publisher	Shaker-Verlag
Pages	105-137
Number of pages	33
ISBN (Electronic)	978-3-8440-6409-4
Publication status	Published - 28 Feb 2019
Event	14th Arnold Tross Kolloquium - Aachen, Germany Duration: 25 May 2018 → 25 May 2018

Publication series

Name	Reihe Maschinenbau
ISSN (Print)	0945-0874

Conference

Conference	14th Arnold Tross Kolloquium
Country/Territory	Germany
City	Aachen
Period	25/05/18 → 25/05/18

Keywords

pressure viscosity coefficient
EHL circular contact
accurate film thickness measurement
accurate curve fit

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title = "More accurate alpha values using an indirect approach: Through a more accurate central film thickness formula",

abstract = "Previous publications have shown that numerical calculations on the central film thickness in EHL lubricated circular contacts approach the measured values very closely. With an approximation formula for the numerical results, the pressure viscosity coefficient of the viscosity of liquids (alpha) can be determined. It is customary to write such an approximation formula as a product of powers of nondimensional exponents. By now changing the value of alpha in this formula, to its best value, the best possible approach to the experiments is created. The issue then is whether it is possible to find a better approximation formula for the central film thickness than the best that presently exists. The publication shows the requirements which the exponents in the approximation formula must meet. Then a considerable number of propositions fall short. A new approach is needed. A better approach formula appears feasible, and the result is about 25% less inaccurate than the best formula so far, for three series of measurements.",

keywords = "pressure viscosity coefficient, EHL circular contact, accurate film thickness measurement, accurate curve fit",

author = "{van Leeuwen}, Harry",

year = "2019",

month = feb,

day = "28",

language = "English",

series = "Reihe Maschinenbau",

publisher = "Shaker-Verlag",

pages = "105--137",

editor = "Erik Kuhn",

booktitle = "14. Arnold Tross Kolloquium, May 25th, 2018",

note = "14th Arnold Tross Kolloquium ; Conference date: 25-05-2018 Through 25-05-2018",

}

TY - GEN

T1 - More accurate alpha values using an indirect approach

T2 - 14th Arnold Tross Kolloquium

AU - van Leeuwen, Harry

PY - 2019/2/28

Y1 - 2019/2/28

N2 - Previous publications have shown that numerical calculations on the central film thickness in EHL lubricated circular contacts approach the measured values very closely. With an approximation formula for the numerical results, the pressure viscosity coefficient of the viscosity of liquids (alpha) can be determined. It is customary to write such an approximation formula as a product of powers of nondimensional exponents. By now changing the value of alpha in this formula, to its best value, the best possible approach to the experiments is created. The issue then is whether it is possible to find a better approximation formula for the central film thickness than the best that presently exists. The publication shows the requirements which the exponents in the approximation formula must meet. Then a considerable number of propositions fall short. A new approach is needed. A better approach formula appears feasible, and the result is about 25% less inaccurate than the best formula so far, for three series of measurements.

AB - Previous publications have shown that numerical calculations on the central film thickness in EHL lubricated circular contacts approach the measured values very closely. With an approximation formula for the numerical results, the pressure viscosity coefficient of the viscosity of liquids (alpha) can be determined. It is customary to write such an approximation formula as a product of powers of nondimensional exponents. By now changing the value of alpha in this formula, to its best value, the best possible approach to the experiments is created. The issue then is whether it is possible to find a better approximation formula for the central film thickness than the best that presently exists. The publication shows the requirements which the exponents in the approximation formula must meet. Then a considerable number of propositions fall short. A new approach is needed. A better approach formula appears feasible, and the result is about 25% less inaccurate than the best formula so far, for three series of measurements.

KW - pressure viscosity coefficient

KW - EHL circular contact

KW - accurate film thickness measurement

KW - accurate curve fit

M3 - Conference contribution

T3 - Reihe Maschinenbau

SP - 105

EP - 137

BT - 14. Arnold Tross Kolloquium, May 25th, 2018

A2 - Kuhn, Erik

PB - Shaker-Verlag

CY - Aachen

Y2 - 25 May 2018 through 25 May 2018

ER -

More accurate alpha values using an indirect approach: Through a more accurate central film thickness formula

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