Use an explicit method, similar to but not identical to Eq. (8.115), to solve the case of
Question:
Use an explicit method, similar to but not identical to Eq. (8.115), to solve the case of SAE 30 oil starting from rest near a fixed wall. Far from the wall, the oil accelerates linearly, that is, u∞ = uN = at, where a = 9 m/s2. At t = 1 s, determine (a) the oil velocity at y = 1 cm; and (b) the instantaneous boundary-layer thickness (where u ≈ 0.99u∞). Hint: There is a non-zero pressure gradient in the outer (shear-free) stream, n = N, which must be included in Eq. (8.114).
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To account for the stream acceleration as 2u t 2 0 we add a term The ...View the full answer
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