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<br />.Fp_M~rodynami~/iOde~LARM <br />l-1omentum Equat ion: <br />~.-<ub) + L(u2b) + ~- (uwb) <br />at ax az <br /> <br />1 a <br />+- - (pb) <br />p ax <br /> <br />a (b au) <br />- ax EX ax <br /> <br />- L (-r b) = 0 <br />az z <br /> <br />(8) <br /> <br />, <br /> <br />Boundary stresses are <br />at the surface: <br />Pa 2 <br />i z = ~p Va <br /> <br />at the bottom: <br /> <br />found using the following expressions: <br /> <br />Cos IJi <br /> <br />(9) <br /> <br />Tz=~ulul <br /> <br />Hydrostatic Pressure distribution: <br /> <br />le.-Pg=O <br />az <br />Continuity Equation: <br /> <br />L (ub) + L (wb) = qb <br />ax az <br />Thermal Convective-Diffusion Equation: <br /> <br />~m.L + a(uTb) + ~IU _ a_ (0 b aT ) <br />at ax az ax x ax <br /> <br />(lO) <br /> <br />(11 ) <br /> <br />(12) <br /> <br />a <br />az <br /> <br />(D b aT ) = .~ <br />z az pc <br />p <br />(13) <br /> <br />Equation of state: <br />P = P (T) <br /> <br />(14) <br /> <br />where <br /> <br /> P = fl ui d dens ity <br /> Pa = dens ity of ai r <br /> TZ = boundary shear s tr\:SS <br /> q = 1 ateral inflow per un it volume <br /> T = temperature <br />Ox' Of : heat transport dispersion coeffi ci ents <br /> heat inflow per unit volume <br /> c - speci fi cheat <br /> p - <br /> Other variables have been previ ous ly defi ned. <br /> <br />,J <br /> <br />Descrt-.Rti on of t~e Tes.L!'J..2b)eTl! <br />Data collected by the Tennessee Valley Authority (TVA}(1969) <br />were used to test and compal'e 'she tvlO vertical models in a <br />reservoir simulation. These data were for the Fontana Reservoir <br />in North Carolina. The models I,ere applied to the first 23 km <br />(14.5 miles) of the reservoir upstream from the dam. To <br />s impl ify geometri c requi rernents. a uniform reservoi r breadth of <br />638 m (2095 ft) was used. This breadth was selected to conserve <br />