Hp 50g Graphing Calculator Manual do Utilizador descarregar pdf (Página 224)

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Specific energy in an open channel is defined as the energy per unit weight

measured with respect to the channel bottom. Let E = specific energy, y =

channel depth, V = flow velocity, g = acceleration of gravity, then we write

The flow velocity, in turn, is given by V = Q/A, where Q = water discharge, A

= cross-sectional area. The area depends on the cross-section used, for

example, for a trapezoidal cross-section, as shown in the figure below, A =

(b+m

⋅y) ⋅y, where b = bottom width, and m = side slope of cross section.

We can type in the equation for E as shown above and use auxiliary variables

for A and V, so that the resulting input form will have fields for the fundamental

variables y, Q, g, m, and b, as follows:

Θ First, create a sub-directory called SPEN (SPecific ENergy) and work

within that sub-directory.

Θ Next, define the following variables:

Θ Launch the numerical solver for solving equations: ‚Ï@@OK@@.

Notice that the input form contains entries for the variables y, Q, b, m,

and g:

Θ Try the following input data: E = 10 ft, Q = 10 cfs (cubic feet per

second), b = 2.5 ft, m = 1.0, g = 32.2 ft/s

yE +=

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