1915] MOTION OF A VISCOUS INCOMPRESSIBLE FLUID 349
or on effecting the integrations
^ (vz — yi) sinh A. (rjz — ^ + 2 — 2 cosh A, (^2 — *?i) = 0 ....... (42)
It is easy to show that (42) cannot be satisfied. For, writing X (T/O — »h) = #,
every term of the first series exceeding the corresponding term of the second. series. The left-hand member of (42) is accordingly always positive. This disposes of the whole question when r)2 and ^ are small enough (numerically), say distinctly less than unity.
All 0-997 1-002 + -995 1-995