This paper presents a thermohydrodynamic solution for a finite width h
ydrodynamic journal bearing with non-Newtonian lubricants, obeying the
power-law model. In this treatment the oil film viscosity is taken to
be an exponential function of temperature. The modified Reynolds equa
tion is solved numerically by using a control volume method (Elrod alg
orithm). A perturbation method is then adopted to deal with the equati
ons of motion and the integro-differential energy equation and the ana
lysis becomes easier by replacing the conduction terms in terms of the
convective boundary conditions at two solid surfaces. As a result, fo
r shear-thickening fluids (n>1), the toad-carrying capacity, temperatu
re and pressure distribution are increased, while for pseudoplastic fl
uids (n<1) they are all decreased. In addition, thermal effects are fo
und to be more pronounced at higher values of flow behaviour index n,
eccentricity and slenderness ratios.