**6. Conclusions**

In this study, an isothermal, non-Newtonian EHL formulation of Bauer's model was performed using the local coordinate system of the pressure gradient. The flow toward the pressure gradient was assumed to be a Poiseuille flow and was approximated using a 4th-order polynomial of *z*. The flow along the direction of the zero pressure gradient was assumed to be a Couette flow and was approximated using a linear function of *z*. The following results were obtained.


However, the proposed method yields an approximate solution. If the Poiseuille flow and Couette flow cannot be approximated using a 4th-order polynomial of *z* and a linear function of *z*, respectively, the obtained results may be inaccurate. The application limits of the current formulation are not clear. Therefore, future work should be focused on determining these limitations.

**Funding:** This research was funded by the TriboLogics Corporation.

**Acknowledgments:** The author sincerely thanks TriboLogics Corporation (www.tribology.co.jp/ indexEng.htm, accessed on 13 May 2021) for permitting the use of TED/CPA. The author is also very grateful to Hiroyuki OHTA of the Nagaoka University of Technology, Japan, for his constant guidance, encouragement, and valuable suggestions.

**Conflicts of Interest:** The author declares no conflict of interest.
