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A Simplified Model of Surface Burnishing and Friction in Repeated Make-Up Process of Premium Tubular Connections

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Abstract

We develop a simplified model to predict the frictional behaviour of the contact between the surfaces of a rotary shouldered thread connection in the make-up process of premium tubular connections as used in the oil pipeline business. A classic wear model is applied at the scale of the surface asperities to predict the evolution of friction between initially shot-peened surface and bronze plated surface in repeated sliding. Validation is provided by experimental measurements of surface roughness before and after sliding. An average friction model is developed by applying a friction factor model to the asperity contact areas and an Eyring shearing theory to the entrapped thin lubricant film. The predictions of the magnitude of friction over various sliding cycles are compared with measurements from physical tests.

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Abbreviations

a :

Contact patch radius

a 2, a 3 :

Constants

c :

Boundary friction factor

d m :

Mean diameter thread

d c :

Mean diameter shoulder

h :

Asperity height

h t :

Mean oil film thickness

k :

Dimensionless wear rate

l :

Thread pitch

m :

Asperity geometric factor

\(\bar{p}\) :

Mean pressure

\(p_{\text{r}}\) :

Shoulder pre-load

\(q_{\text{x}} ,\;q_{\text{s}}\) :

Flow rates

s :

Sliding distance

\(v\) :

Sliding velocity

y 0 :

Initial asperity peak to valley height

\(z\) :

Normalised surface height

\(E^{*}\) :

Contact modulus

\(F\) :

Friction or tangential force

\(F_{\text{N}}\) :

Normal load

\(H_{\text{t}}\) :

Ratio \(h_{\text{t}} :R_{\text{a}}\)

\(H_{\text{tc}}\) :

Critical value of \(H_{\text{t}}\)

H 1, H 2 :

Vickers hardness of surfaces 1 and 2

\(P_{\text{v}}\) :

Fluid pressure

\(P_{\text{a}}\) :

Asperity pressure

\(R\) :

Reduced radius of contact

\(R_{\text{a}} ,\;R_{\text{q}}\) :

Surface roughness parameters

R q,1, R q,2, R qc :

rms surface roughness of contact

T :

Torque

V :

Volume

W :

Normal load

\(\beta\) :

Thread flank angle

\(\varLambda\) :

Contact ratio

\(\mu ,\;\mu_{\text{c}}\) :

Coefficients of friction at thread and shoulder respectively

\(\tau\) :

Shear stress

\(\gamma\) :

Peklenik number

η :

Viscosity

\(\phi_{\text{x}} ,\;\phi_{\text{s}}\) :

Flow factors

\(\tau_{0}\) :

Eyring stress

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Acknowledgments

Financial support by Technology Strategy Board and Hunting Energy Services through a Knowledge Transfer Partnership is acknowledged. The authors would like to thank Andrew Leech, Alan Roberts, Bostjan Bensezek at Hunting Energy Services (UK) Ltd for constructive discussions during the course. The authors are grateful of the technical support of Terry Richards, Greg Nash at the School of Marine Science and Engineering of Plymouth University.

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Authors and Affiliations

  1. School of Marine Science and Engineering, Plymouth University, Plymouth, UK

    H. R. Le & F. Stewart

  2. Department of Engineering, University of Cambridge, Cambridge, UK

    J. A. Williams

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  1. H. R. Le
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  2. F. Stewart
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Correspondence to H. R. Le.

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Le, H.R., Stewart, F. & Williams, J.A. A Simplified Model of Surface Burnishing and Friction in Repeated Make-Up Process of Premium Tubular Connections. Tribol Lett 59, 35 (2015). https://doi.org/10.1007/s11249-015-0562-x

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