Question 2 (cont'd) (b) As shown in Figure 2.3, a liquid of density p flows upwards against gravity through a contraction. The vertical height of the contraction is B. The liquid pressure, flow velocity and cross sectional area at the contraction inlet (Station 1) are P, V₁ and A₁, respectively, whereas the liquid pressure, flow velocity and cross sectional area at the contraction outlet (Station 2) are P₂, V₂ and 4₂, respectively. Assume that the liquid is inviscid and the flow is steady. A U-tube manometer is used to measure the difference in pressure between Stations 1 and 2. The manometer contains a liquid of density 1.2p, and the difference in liquid levels in both limbs of the manometer is H. (i) (ii) Obtain an expression for the pressure difference (P₁-P) between the contraction inlet and outlet solely in terms of the quantities p. g. B. Vi, A₁ and 4₂. Obtain an expression for the difference in liquid levels in both limbs of the manometer H solely in terms of the quantities V₁, g. 4₁ and 4₂ P2 V₂ (2) A2 ↓₂ 254 B A₁ Pipe- Flow Contraction Manometer 1.2p Figure 2.3

Question 2 (cont'd) (b) As shown in Figure 2.3, a liquid of density p flows upwards against gravity through a contraction. The vertical height of the contraction is B. The liquid pressure, flow velocity and cross sectional area at the contraction inlet (Station 1) are P, V₁ and A₁, respectively, whereas the liquid pressure, flow velocity and cross sectional area at the contraction outlet (Station 2) are P₂, V₂ and 4₂, respectively. Assume that the liquid is inviscid and the flow is steady. A U-tube manometer is used to measure the difference in pressure between Stations 1 and 2. The manometer contains a liquid of density 1.2p, and the difference in liquid levels in both limbs of the manometer is H. (i) (ii) Obtain an expression for the pressure difference (P₁-P) between the contraction inlet and outlet solely in terms of the quantities p. g. B. Vi, A₁ and 4₂. Obtain an expression for the difference in liquid levels in both limbs of the manometer H solely in terms of the quantities V₁, g. 4₁ and 4₂ P2 V₂ (2) A2 ↓₂ 254 B A₁ Pipe- Flow Contraction Manometer 1.2p Figure 2.3

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Steady, incompressible and inviscid water flows inside the given system, if the force F is needed to hold the system stationary, what is the work W (W=F x L) joule is needed to move the system a distance L=15.5 m. V1=3 m/s 2 A1=0.1 m p1=200 kpa 1 2 m F 2 2 A2=0.2 m
For the piping system shown below, water is flowing from left to right at steady-state and constant temperature. You may assume the flow is frictionless. The pipe diameter is larger in section A than section B. The diameters of sections A and C are the same. If gravitation and frictional effects are negligible, which of the following relationships is true about the static pressure in sections A and B? Pc Ps Flow section A section B section C OPA Pg because pressure decreases as velocity increases at steady-state OPA = Pg because friction is assumed to be negligible
Air is compressed by a compressor in steady-state operation, i.e. the inlet mass flow rate qm is constant in time. The compressor is airtight. The area of the inlet and outlet cross-section is A and AOUT, respectively. The outlet-to-inlet density ratio is PouT PIN the outlet-to-inlet mass flow rate ratio is 9m-OUT/9m-IN- What is the outlet-to-inlet volume flow rate ratio? 9V-OUT/av-IN =? Select one: a. 9V-OUT/av-IN = (A OUT'A IN) (POUT PIN b. 9V-OUT/av-IN = PIN/POUT C. 9V-OUT/av-IN = 9m-OUT/ 9m-IN d. 9V-OUT/av-IN=AOUTAIN
Where necessary, assume air as an ideal gas and consider R = 287J/(kg.K), Cp = 1005 J/(kg.K), Cv = 718 J/(kg.K). A nozzle is a device that is used to increase the velocity of a fluidby varying the cross-sectional area. At the last section of a jetengine (Fig Q1.a, section 5), air with a mass flow rate of 50 kg/s ata pressure of 500 kPa and a temperature of 600 K enters a nozzlewith an inlet cross-sectional area of 5 m2. The exit area of thenozzle is 20% of its inlet area. The air leaves the nozzle at avelocity of 300 m/s. The nozzle is not well-insulated and duringthis process, 5 kJ/kg heat is lost. (iv) Determine the temperature of the air as it leaves the nozzle.(v) Calculate the pressure of the air as it leaves the nozzle.
none m_cv2-m_cv1=m_in-m_out For ideal gases, .. is a function of temperature only specific volume none pressure density internal energy The quality of the fluid is 20%. Its internal energy at saturated liquid state is 200 3Jikg and saturated vapor state is 900 kJ/kg. Determine its internal energy?
Q.2 3 A fluid of density 1200 kg/m at 1 atm pressure is compressed to 101 atm pressure isothermally. If the isothermal -5 compression is 4.8x 10 atm, the -1 increase in density in kg/m of fluid is
In this question, assume the "additional displacement" is in the positive u direction. A mass weighing 16 lbs stretches a spring 8 inches. The mass is in a medium that exerts a viscous resistance of 1 lbs when the mass has a velocity of 2 ft/sec. Suppose the object is displaced an additional 5 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) =
A mass weighting 24 lbs stretches a spring 3 inches. The mass is in a medium that exerts a viscous resistance of 21 lbs when the mass has a velocity of 6 ft/sec. Suppose the object is displaced an additional 6 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) =
Answer with True or False of the following question: (7M 1. Water flows steadily down a vertical pipe of constant cross section. Neglecting friction, according to Bernoulli's equation, velocity decreases with height. 2. A liquid in an open right circular cylinder is given rigid body rotation about the axis of the cylinder. The pressure distribution in any vertical plane is uniform. 3. A curved surface is submerged in a static liquid. The horizontal component of pressure force on it is equal to the pressure force on a vertical projection of the surface. 4. A U-tube manometer measures the difference in total energy between two points.
1-In-compressible fluid flow in pipe line, there are two kinds...... a- Transition & turbulent flow c- laminar & turbulent flow. b- laminar & Transition flow. d- Other. 2- The viscosity actually a is the resistance of the internal material movement and that because of..... ...between molecules. a- the cohesion forces. b- Buoyancy force. c- the adhesion forces. d-Other. 3- calculate the surface tension of liquids and solutions using the following mathematical relationship: ******** a-Y-0.5h+p-g/r. b-Y-0.5 h pgr. c-Y-(h* p*g*r)*5. d-Other.
4.7 Find the power required to pump water from one tank to another, as shown in Fig. 4.31. The discharge through the pump is 30 L/s. Neglect all the losses. d = 50 mm Z3 =15m d= 10 mm 2 = 3m 21 = 5m Fig. 4.31 [Ans: 6.445 kW]
Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is 1.70 x 10° Pa and the pipe radius is 2.50 cm. At the higher point located at y = 2.50 m, the pressure is 1.30 × 10° Pa and the pipe radius is 1.30 cm. P2 P (a) Find the speed of flow in the lower section. 5.79 Your response differs from the correct answer by more than 100%. m/s (b) Find the speed of flow in the upper section. m/s (c) Find the volume flow rate through the pipe. m³/s