Page 1 of 1
Problem. We established the following scales" in our derivation in class X (HIL = { << 1) Y₂h H U = u V E U H/V t →L/U P
Posted: Wed May 04, 2022 1:24 pm
by answerhappygod
- Problem We Established The Following Scales In Our Derivation In Class X Hil 1 Y H H U U V E U H V T L U P 1 (184.96 KiB) Viewed 40 times
Problem. We established the following scales" in our derivation in class X (HIL = { << 1) Y₂h H U = u V E U H/V t →L/U P→ MU/(E²L) = pgL (a) Apply these to the у-тот momentum equation to figure out which terms are negligible and which stay. Show that curvature Don _a²h/ax² when &<< 1. (b) (C) Show that the term udo/ay in the normal stress balance is small compared to p. (d) Determine the "scale" for surface tension σ if the term 082h is to balance p in the normal stress balance. 2x2 (e) you ax Show that one of the terms in μBy +ou) is negligible compared to the other. This arises in the tangential stress balance. obtain the PDE for h(x, t) if y-momentum were simplified to aplay instead of including the pgcosd term. (f) = 0 (g) Nondimensionalize the PDE for hexit) of part (f) by scaling x with Ly h with Hg & with Lies and taking U=pgH²/μ. what dimensionless group appears in the equation? سلح рдн2/μ