The perturbational approach that assumes Couette dominance in non-Newt
onian elastohydrodynamic lubrication analysis is discussed. The assump
tion is found valid for non-Newtonian fluid models exhibiting Newtonia
n properties at low shear strain rate. A general non-Newtonian fluid m
odel which meets that requirement is incorporated into elastohydrodyna
mic lubrication analysis of line contacts by using the perturbational
approach. In the case of a circular-fluid model the results obtained f
rom the perturbational approach are in good agreement with those obtai
ned from the direct approach. However, a better convergence and the po
ssibility of avoiding using stress boundary conditions at high shear s
tress can be achieved by using the perturbational approach. Results ar
e presented for various values of the shape exponent in the general mo
del, and it transpires that this also is an important parameter of the
fluid model.