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2008_06_03_12_41_30 - GENO JDl A RD 2635th Mid term#2(Nov...

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Unformatted text preview: GENO JDl A RD? 2635th Mid term #2 (Nov. 13) l. (5.60) Air flows into the narrow gap, of height h, between closely spaced parallel disks through a porous surface as shown (see Fig. 1). Use a control volume, which outer surface located at position r, to show that the uniform velocity in the r direction is V, =(r/2h)U (U is the z-component of flow velocity at the porous surface). Find an expression for the velocity component in the z-direction. Evaluate the components of the acceleration for fluid particle in the gap. Assume that the air is incompressible. (25 points) 2. (6.25) The radial variation of fluid velocity between two cylindrical sections of radii R1 and R2 (see Fig. 2) is given by V30) = UlRl Ir (where U1 = const.). Derive the expression for the pressure difference, AP, between the outer and inner boundaries of the flow. Express your answer in terms of fluid mass density, p, velocity U1, and radii R1 and R2. 25 points) 3. (6.64) The water level in a large tank is maintained at height H above the surrounding level terrain. A rounded small nozzle placed in the side of the tank discharges a horizontal jet (see Fig. 3). Neglecting friction, determine the height h at which the nozzle should be placed so the water strikes the ground at the maximum horizontal distance X from the tank. (25 points) x. 4. (7.19) The power, W, required to drive a fan is believed to depend on fluid density, p. impeller diameter, D, and angular velocity of the fan, 03. use dimensional analysis to determine the dependence of W on other variables. (25 points) ...
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