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

Vertaalde titel van de bijdrage: Nauwkeuriger alfawaarden gebruikmakend van een indirecte methode: Door een nauwkeuriger formule voor de centrale filmdikte

Harry van Leeuwen

Power & Flow

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic

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Samenvatting

Eerdere publicaties hebben aangetoond dat numerieke berekeningen aan de centrale filmdikte in EHL gesmeerde cirkelvormige contacten zeer dicht gemeten waarden benaderen. Met een benaderingsformule voor de numerieke uitkomsten kan de drukgevoeligheidscoëfficiënt van de viscositeit van vloeistoffen (alfa) worden bepaald. Het is gebruikelijk om zo’n benaderingsformule te schrijven als product van machten van dimensieloze kentallen. Door nu de waarde van alfa te wijzigen in deze formule ontstaat de best mogelijke benadering van de experimenten.
Het gaat er dan om of het mogelijk is een betere benaderingsformule te vinden voor de centrale filmdikte dan de beste die er bestaat.

In de publicatie wordt aangetoond aan welke eisen de exponenten uit de benaderingsformule moeten voldoen. Dan vallen een behoorlijk aantal proposities af. Een nieuwe benadering is nodig.
Een betere benaderingsformule blijkt mogelijk, en het resultaat is ongeveer 25% minder onnauwkeurig dan de beste formule tot nu toe, voor drie series metingen.

Vertaalde titel van de bijdrage	Nauwkeuriger alfawaarden gebruikmakend van een indirecte methode: Door een nauwkeuriger formule voor de centrale filmdikte
Originele taal-2	Engels
Titel	14. Arnold Tross Kolloquium, May 25th, 2018
Redacteuren	Erik Kuhn
Plaats van productie	Aachen
Uitgeverij	Shaker-Verlag
Pagina's	105-137
Aantal pagina's	33
ISBN van elektronische versie	978-3-8440-6409-4
Status	Gepubliceerd - 28 feb. 2019
Evenement	14th Arnold Tross Kolloquium - Aachen, Duitsland Duur: 25 mei 2018 → 25 mei 2018

Publicatie series

Naam	Reihe Maschinenbau
ISSN van geprinte versie	0945-0874

Congres

Congres	14th Arnold Tross Kolloquium
Land/Regio	Duitsland
Stad	Aachen
Periode	25/05/18 → 25/05/18

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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",

}

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AU - van Leeuwen, Harry

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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

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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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Publicatie series

Congres

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