Perturbation Solution of Non-Newtonian Lubrication With the Convected Maxwell Model
Keyword(s):
There are many studies on variations of the Maxwell model. Tichy (1996) discussed an admissible formulation of the Maxwell viscoelastic fluid model using a convected derivative and applied it to two-dimensional lubrication flow. Tichy obtained a solution using a regular perturbation in the Deborah number with the conventional lubrication solution as the leading term. This paper extends Tichy’s model by using a double regular perturbation to the convected Maxwell model. A correspondence solution can also be obtained. Our sliding velocity solution is different from Tichy’s solution; and a modified Reynolds equation is also different from that by Tichy.
Keyword(s):
Keyword(s):
2019 ◽
Vol 81
(4)
◽
pp. 501-512
2014 ◽
Vol 69
(8-9)
◽
pp. 462-472
◽
Keyword(s):
2019 ◽
Vol 81
(4)
◽
pp. 500-511
2016 ◽
Vol 40
(19-20)
◽
pp. 8832-8841
◽
Keyword(s):