3. Derive the operational Green-Ampt equation, t = and F(t)-F(tp)|yf|(þ−0; ) [F(tp)+|yf|(−0₁) + . In F(t)+|yf|(-0; ) K sat from the following two equations, - f(t)= K sat f(t)=-Ksat 1+ |(0-0₁) Kama [1410 / 1 (0-01)]. F(t) dF (t) dt P a 1stst +tp where to represents the time of ponding, t, represents the total time specified, and y is the effective tension at the wetting front. The meanings of the rest of symbols are the same as those defined in class. (Hint: Begin by inverting both sides of the equation, then x. dx x b separate variables and integrate. Also, ſ ax+b · In (a.x+b))

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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3. Derive the operational Green-Ampt equation,
+
K sat
F(t)-F(tp) _ \Vƒ\(0−0;) F(tp)+|wf|(-0₁)
F(t)+|vf|(0-0₁)
K sat
t =
and
from the following two equations,
f(t)=-Ksat 1+
Koal (1+1 M ₁ | (0-0₁)
F(t)
- f(t) =
In
dF (t)
dt
=
tststw
V s
where to represents the time of ponding, t represents the total time specified, and
-In (a.x+b))
2
the effective tension at the wetting front. The meanings of the rest of symbols are the
same as those defined in class. (Hint: Begin by inverting both sides of the equation, then
x. dx X b
separate variables and integrate. Also, S
a.x+b a
a
+tp
is
Transcribed Image Text:3. Derive the operational Green-Ampt equation, + K sat F(t)-F(tp) _ \Vƒ\(0−0;) F(tp)+|wf|(-0₁) F(t)+|vf|(0-0₁) K sat t = and from the following two equations, f(t)=-Ksat 1+ Koal (1+1 M ₁ | (0-0₁) F(t) - f(t) = In dF (t) dt = tststw V s where to represents the time of ponding, t represents the total time specified, and -In (a.x+b)) 2 the effective tension at the wetting front. The meanings of the rest of symbols are the same as those defined in class. (Hint: Begin by inverting both sides of the equation, then x. dx X b separate variables and integrate. Also, S a.x+b a a +tp is
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