zbMATH — the first resource for mathematics

Boundary layer theory for second order fluids. (English) Zbl 0747.76013
Summary: Two-dimensional equations of steady motion for second order fluids are expressed in a special coordinate system generated by the potential flow corresponding to an inviscid fluid. For the flow around an arbitrary object \(\phi\) coordinates are the streamlines, \(\psi\) coordinates are the velocity potential lines. It is clear that the equations of motion so derived and boundary conditions become in a sense independent of the body shape immersed into the flow. Using the usual boundary layer assumptions the boundary layer equations are then deduced from the equations of motion by employing a technique of matched asymptotic expansion.

76A05 Non-Newtonian fluids
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
Full Text: DOI
[1] Coleman, B.D.; Noll, W., Arch. rat. mech. anal., 6, 355, (1960)
[2] Dunn, J.E.; Fosdick, R.L., Arch. rat. mech. anal., 56, 191, (1974)
[3] Mishra, S.P., (), 291
[4] Srivastava, A.C., Int. J. non-linear mech., 6, 607, (1970)
[5] Kaplun, S., Zamp, 2, 111, (1954)
[6] Kevorkian, J.; Cole, J.D., Perturbation methods in applied mathematics, (1981), Springer New York · Zbl 0456.34001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.