Engineering Applications of Higher Mathematics: Problems on hydraulics

abscissæ According to Eq angle average velocity axis bottom cent center of gravity center of pressure condition const constant coördinates corresponding cos² cost cross section cubic parabola D₁ D₂ Deduce depth of immersion determined diameter difference of levels distance Eliminating engineering equal to zero equation expression F₁ Find formula free surface friction given h₁ h₂ Hint hori hydraulic hydraulic head hyperbolic functions infinitesimal l₁ length levels of water liquid loss of head loss of pressure mathematical maxima and minima maximum meters minimum moment of inertia nozzle obtain ordinates orifice parabola parallelopiped pipe plot a curve preceding problem Q₂ quantity rate of discharge reservoir result Show Simpson's rule slope Solution Solve Prob Substituting the value theorem tion trapezoidal variables vertex vertical vessel water planes wetted perimeter width zontal