Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 6, Problem 53CP
To determine
The unsteady angular momentum equation in the vector form for the control volume.
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Chapter 6 Solutions
Fluid Mechanics Fundamentals And Applications
Ch. 6 - Express Newton’s first, second, and third laws.Ch. 6 - Express Newton’s second law of motion for rotating...Ch. 6 - Is momentum a vector? If so, in what direction...Ch. 6 - Express the conservation of momentum principle....Ch. 6 - Two firefighters are fighting a fire with...Ch. 6 - How do surface forces arise in the momentum...Ch. 6 - Explain the importance of the Reynolds transport...Ch. 6 - What is the importance of the momentum-flux...Ch. 6 - Write the momentum equation for steady...Ch. 6 - In the application of the momentum equation,...
Ch. 6 - A rocket in space (no friction or resistance to...Ch. 6 - Describe in terms of momentum and airflow how a...Ch. 6 - Does it take more, equal, or less power for a...Ch. 6 - In a given location, would a helicopter require...Ch. 6 - A horizontal water jet from a nozzle of constant...Ch. 6 - Describe body forces and surface forces, and...Ch. 6 - A constant-velocity horizontal water jet from a...Ch. 6 - A horizontal water jet of constant velocity V from...Ch. 6 - Water enters a 10-cm-diameter pipe steadily with a...Ch. 6 - A 2.5-cm-diameter horizontal water jet with a...Ch. 6 - A horizontal water jet of constant velocity V...Ch. 6 - A 90 elbow in a horizontal pipe is used to direct...Ch. 6 - Repeat Prob. 6-20 for the case of another...Ch. 6 - A horizontal water jet impinges against a vertical...Ch. 6 - A reducing elbow in a horizontal pipe is used to...Ch. 6 - Repeat Prob. 6-24 for the case of = 125°.Ch. 6 - Reconsider Prob. 627. If the mass of the cart is...Ch. 6 - A 100-ft3/s water jet is moving in the positive...Ch. 6 - Reconsider Prob. 6-26E. Using appropriate...Ch. 6 - A horizontal 5-cm-diameter water jet with a...Ch. 6 - A fan with 24-in-diameter blades moves 2000 cfm...Ch. 6 - A 3-in-diameter horizontal jet of water, with...Ch. 6 - Firefighters are holding a nozzle at the end of a...Ch. 6 - A 5-cm-diameter horizontal jet of water with a...Ch. 6 - A 3-in-diameter horizontal water jet having a...Ch. 6 - An unloaded helicopter of mass 12,000 kg hovers at...Ch. 6 - Water is flowing through a 10-cm-diameter water...Ch. 6 - The weight of a water tank open to the atmosphere...Ch. 6 - Commercially available large wind turbines have...Ch. 6 - Water enters a centrifugal pump axially at...Ch. 6 - An incompressible fluid of density and viscosity ...Ch. 6 - Consider the curved duct of Prob. 6-41, except...Ch. 6 - As a follow-up to Prob. 6-41, it turns out that...Ch. 6 - An incompressible fluid of density and viscosity ...Ch. 6 - Water of density =998.2kg/m3 flows through a...Ch. 6 - Water flowing in a horizontal 25-cm-diameter pipe...Ch. 6 - A sluice gate, which controls flow rate in a...Ch. 6 - How is the angular momentum equation obtained from...Ch. 6 - Prob. 52CPCh. 6 - Prob. 53CPCh. 6 - Prob. 54CPCh. 6 - Water is flowing through a 15-cm-diameter pipe...Ch. 6 - A large lawn sprinkler with two identical arms is...Ch. 6 - Prob. 57EPCh. 6 - Prob. 58PCh. 6 - The impeller of a centrifugal blower has a radius...Ch. 6 - Prob. 60PCh. 6 - Repeat Prob. 6-56 for a water flow rate of 60 L/s.Ch. 6 - Prob. 62PCh. 6 - Water enters the impeller of a centrifugal pump...Ch. 6 - A lawn sprinkler with three identical antis is...Ch. 6 - Prob. 66PCh. 6 - Water flowing steadily at a rate of 0.16 m3/s is...Ch. 6 - Repeat Prob. 6-66 by taking into consideration the...Ch. 6 - Prob. 70PCh. 6 - Water enters vertically and steadily at a rate of...Ch. 6 - Repeal Prob. 6-69 for the case of unequal anus-the...Ch. 6 - Prob. 73PCh. 6 - Prob. 74PCh. 6 - Prob. 75PCh. 6 - Prob. 76PCh. 6 - A spacecraft cruising in space at a constant...Ch. 6 - A 60-kg ice skater is standing on ice with ice...Ch. 6 - Prob. 80PCh. 6 - Water is flowing into and discharging from a pipe...Ch. 6 - Indiana Jones needs So ascend a 10-m-high...Ch. 6 - Prob. 83EPCh. 6 - Prob. 84PCh. 6 - A walnut with a mass of 50 g requires a force of...Ch. 6 - Prob. 86PCh. 6 - Prob. 87PCh. 6 - Show that the force exerted by a liquid jet on a...Ch. 6 - Prob. 89PCh. 6 - Prob. 90PCh. 6 - Prob. 91PCh. 6 - Water enters a two-armed lawn sprinkler along the...Ch. 6 - Prob. 94PCh. 6 - Prob. 95PCh. 6 - Prob. 96PCh. 6 - Water flows steadily through a splitter as shown...Ch. 6 - Prob. 98PCh. 6 - Prob. 99PCh. 6 - Consider water flow through a horizontal, short...Ch. 6 - Consider water flow through a horizontal. short...Ch. 6 - Prob. 103PCh. 6 - Prob. 104PCh. 6 - Prob. 105PCh. 6 - Prob. 106PCh. 6 - The velocity of wind at a wind turbine is measured...Ch. 6 - The ve1ocity of wind at a wind turbine is measured...Ch. 6 - Prob. 109PCh. 6 - Prob. 110PCh. 6 - Prob. 111PCh. 6 - Prob. 112PCh. 6 - Consider the impeller of a centrifugal pump with a...Ch. 6 - Prob. 114P
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- A jet of water strikes a splitter and splits into two streams of equal velocity but unequal thickness. All jets have a width w (into the paper). Friction forces of the water stream on the splitter are negligible. Ignore the weight of the splitter. a) Use the integral mass conservation equation to find an equation for the thickness t of angled exit stream, t = f (h, a) b) Apply the momentum equation in the vertical direction to find an equation 0 = f(a).Hint: the net vertical force on the splitter is zero c) Find an equation Fx = f(p, V, w,h,a,0) for the horizontal force on the splitterarrow_forwardA single-stage axial flow pump with outer radius r2 = 0.240 m and inner radius r1=0.120 m is given. At a radius of r =0.090 m, absolute flow flows in from the axial direction just before the impeller inlet and relative flow flows out in the axial direction just after the impeller outlet. Assuming a flow rate Q = 0.265 m^3/s, a water density p = 1.000 x 103 kg/m^3, a rotation speed n = 2.4 x 10^3 rpm, and a gravitational acceleration g = 9.81 m/s^2, and assuming that the theoretical head Hth = W/g (W: specific work) derived from Euler's law is constant at all impeller radii, answer the following questions. (1) Looking at the following image, find all values of the velocity triangle just before the impeller inlet and just after the impeller outlet at radius r =0.09 m. impeller Figure 37.1 A propeller of an axial flow pump a₁ w1 U₁ Outlet guide vane B₁ Impeller α₂ Vw2 U₂=U₂=Uarrow_forwardQ4arrow_forward
- (E) A uniform stream of fluid with speed U at infinity flows two-dimensionally and irrota- tionally towards a circular cylinder of radius a. The surface of the cylinder is porous and fluid is drawn inwards with normal velocity 2U inwards at the surface. The circulation about the cylinder is zero. 1. Find a real velocity potential for the flow. 2. Find a complex velocity potential for the flow. 3. Find any stagnation points in the flow 4. Find a streamfunction for the flow. 5. Sketch the streamlines of the flow, distinguishing quantitatively between the fluid entering the cylinder and the fluid passing the cylinder.arrow_forwardWater of density ? =998.2kg/m3 flows through a fireman’s nozzle—a converging section of pipe that accelerates the flow. The inlet diameter is d1 = 0.100 m, and the outlet diameter is d2 = 0.050 m. The average velocity, momentum flux correction factor, and gage pressure are known at the inlet (1) and outlet (2). (a) Write an expression for the horizontal force Fx of the fluid on the walls of the nozzle in terms of the given variables. (b) Verify your expression by plugging in the following values: ?1 = 1.03, ?2 = 1.02, V1 = 3 m/s, P1,gage = 137,000 Pa, and P2,gage = 0 Pa.arrow_forwardA fluid moves in a steady flow manner between two sections in a flow line. At section 1: A1= 10ft^2, U1=100 fpm, v1= 4 ft^3/lbm. At section 2: A2= 2ft^2, p2= 0.20 lbm/ft^3, U2=120 fpm. Calculate (a) the mass flow rate, and the (b) change of mass stored in system ∆m.arrow_forward
- Momentum Water flows through a horizontal, 180° pipe bend as is illustrated in the Fig. The flow cross‐sectional area is constant at a value of 9000 mm2. The flow velocity everywhere in the bend is 15 m/s. The pressures at the entrance and exit of the bend are 210 and 165 kPa, respectively. Calculate the horizontal (x and y) components of the anchoring force needed to hold the bend in place.arrow_forwardP3. The undisturbed wind speed at a location is Vi = 30 mi/hr, the speed at turbine rotor is 60% of this value and the speed at exit is 60% of Vi . The rotor diameter is 10 m. The air temperature is 25 °C. Calculate (a) the power available in undisturbed wind at the turbine rotor in kW, (b) the power in the wind at outlet in kW, (c) the power developed by the turbine in kW, (d) the coefficient of performance.arrow_forward5. A nozzle connected to a long pipe is ejecting water of jet dia =d cm at a speed V m/s. Starting from the governing equation for momentum balance, derive a relation for thrust generated by the nozzle. The nozzle is at rest. Consider momentum correction factor for accounting for non-uniform flow at the nozzle exit. Pump pipe nozzle Tdarrow_forward
- 2. A source of volume flow rate 2 m2/s is located at origin and another source of volume flow rate 4 m2/s is located at (3, 0). Find out the velocity components at (2, 2). Ans: u = - 0.048 m/s, v 0.334 m/sarrow_forwardA fluid moves in a steady flow manner between two sections in a flow line. At the entrance section: A1, =1 m2, v1= 0.5 m/s, ρ1 = 4 kgm/m3. At the exit section: A2 =0. 2 m2, ? 2 = 0.20 m3/kgm. Calculate (a) the mass flow rate in kg/s and (b) the speed at section 2 in m/s.arrow_forwardA fluid moves in a steady flow manner between two sections ina flow line. At section 1: A1=1 ft2, v1=100fpm, specific volume1= 4ft3/lb. At section 2: A2=2ft2, p = 0.20lb/ft3. Calculate the mass flow rate and speed at section 2.arrow_forward
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