Challenges in Fluid Dynamics by R.Kh. Zeytounian

Author:R.Kh. Zeytounian
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

(4.10a)

where the function ϕ(t, z) is a “particle function”, one can rewrite the Rayleigh problem in terms of the new coordinate and new time (ϕ, θ):

(4.10b)

normal to the flat plate, and θ ≡ t. We thereby obtain the following set of equations:

(4.10c)

while the initial and boundary conditions are

(4.11a)

(4.11b)

because, when z → +∞, ρ → 1, and consequently ϕ ≡ z at the limit, while z → +∞ is equivalent to ϕ → +∞. The above initial-boundary value problem (4.7c) with conditions (4.8a, b) is investigated when

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