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Consider the general form of the Reynolds transport theorem (RTT) as stated in Prob. Let B11 be the linear momentum
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Fluid Mechanics: Fundamentals and Applications
- Given the steady, incompressible velocity distribution V =3 x i + Cy j + 0 k , where C is a constant, if conservation ofmass is satisfi ed, the value of C should be( a ) 3, ( b ) 3/2, ( c ) 0, ( d ) - 3/2, ( e ) - 3arrow_forwardNadeen is washing her car, using a nozzle similar to the one sketched in fig The nozzle is 3.90 in (0.325 ft) long, with an inlet diameter of 0.420 in (0.0350 ft) and an outlet diameter of 0.182 The volume flow rate through the garden hose (and through the nozzle) is V. = 0.841 gal/min (0.00187 ft3/s), and the flow is steady. Estimate the magnitude of the acceleration of a fluid particle moving down the centerline of the nozzle.arrow_forwardThe entrance-to-exit area ratio of streamtube is given as 2. Consider incompressible flow entering the streamtube. Which of the following statements is true? A. mass flow decreases and static pressure decreases B. mass flow decreases and static pressure increases C. mass flow remains unchanged and velocity of the flow decreases D. mass flow remains unchanged and velocity of the flow increasesarrow_forward
- Consider steady flow of water through an axisymmetric garden hose nozzle. The axial component of velocity increases linearly from uz, entrance to uz, exit as sketched. Between z = 0 and z = L, the axial velocity component is given by uz = uz,entrance + [(uz,exit − uz,entrance)/L]z. Generate an expression for the radial velocity component ur between z = 0 and z = L. You may ignore frictional effects on the walls.arrow_forwardpls replyy Gasoline (SG-0.7) flows down an inclined pipe whose upper and lower sections are 90 mm (section 1) and 60 mm (section 2) in diameter respectively. The pressure and velocity in section 1 are 280 kPa and 2.3 m/s respectively. If the difference in elevation between the 2 sections is 2.5m, find the pressure at point 2.arrow_forwardAssume an inviscid, incompressible flow. Also, standard sea level density and pressure are 1.23 kg/m3 (0.002377 slug/ft3) and 1.01 × 105 N/m2 (2116 lb/ft2), respectively. Consider a venturi with a small hole drilled in the side of the throat. Thishole is connected via a tube to a closed reservoir. The purpose of theventuri is to create a vacuum in the reservoir when the venturi is placed inan airstream. (The vacuum is defined as the pressure difference below theoutside ambient pressure.) The venturi has a throat-to-inlet area ratio of0.85. Calculate the maximum vacuum obtainable in the reservoir when theventuri is placed in an airstream of 90 m/s at standard sea level conditions.arrow_forward
- Fluid Mechanics A horizontal jet of water exits a nozzle with a uniform velocity of Vj = 20 m/s and area of Aj= 3 cm^2, and strikes a flat plate that moves to the right at velocity of Vc = 15 m/s. Upon impinging the plate, the jet splits into an equal upward and downward half-jet. (i.e. A1 = A2 = 0.5Aj). Neglecting gravity and viscous forces, determine the force (in both x - and y - directions) required to keep the plate moving at a constant velocity.arrow_forwardcalaculate the change in momentum of 200,000kg Boeing 777 whose speed changes from 450mph to 180mph. express your answer in SI, BG, and USarrow_forwardSee the following nozzle, L is 10 cm, Dentrance is 2 cm, Dexit is 0.5 cm. The volume flow rate through the nozzle is 0.227 m3/h. The flow is steady. Estimate the magnitude of the acceleration of a fluid parcel moving down the centerline of the nozzle.arrow_forward
- A two dimensional, steady, incompressible and potential flow field of water (ρ=1000 kg/m3) is given with velocity components u and v. If the velocity component, u is given as u=2xy m/s with the magnitude of maximum pressure in the field as 52108 Pa. a) At x=+1 m and y=+2 m point, what is the magnitude of the velocity component v (in m/s)? (Please use 2 decimal digits in your answer) b) At x=+1 m and y=+2 m point, what is the magnitude of dynamic pressure (in Pa)? (Please do not use any decimal digit in your answer) c) At x=+1 m and y=+2 m point, what is the magnitude of static pressure (in Pa)? (Please do not use any decimal digit in your answer)arrow_forwardLiquid flows out of a hole in the bottom of a tank as in FinConsider the case in which the hole is very small compared to the tank (d ≪ D). Experiments reveal that average jet velocity V is nearly independent of d, D, ? , or ? . In fact, for a wide range of these parameters, it turns out that V depends only on liquid surface height h and gravitational acceleration g. If the liquid surface height is doubled, all else being equal, by what factor will the average jet velocity increase?arrow_forwardA jet of water of diameter 60 mm strikes a stationary flat plate normally at a velocity of 26 m/s. What is the force exerted by the jet of water? Select one: a. 1,911.3 N b. 1,756.4 N c. 1,561.6 N d. 1,722.1 Narrow_forward
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