Show complete solution: Establish and simplify the mass and energy balance equations for a fluid of constant density flowing at steady-state through a straight pipe of constant diameter D and length L. What are your thoughts regarding the simplified forms of the balance equations?
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- b) A Newtonian fluid flows in an annular space created by a concentric pipe of radius R, and a rod of radius R;, as shown in Figure Q1(b). The rod is moving at a constant velocity V, while the pipe is stationary. The flow is steady, laminar and incompressible and there is no forced pressure gradient driving the flow. Assuming the velocity components in the radial and tangential directions are zero and ignoring the effects of gravity, derive an expression for the velocity field in the annular space. R. R: Figure Q1(b)(5) Consider the steady-state flow of an incompressible Newtonian fluid through a horizontal tube of inner radius R and length L, as shown below: Find the velocity distribution in the liquid. Neglect end effects. DogeAir 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
- Solve problem 2 (Textbook, p. 230). This is a case example how to use the characteristic curve of a pump to find the operation point of a piping installation. You can find the solution graphically, iteratively (if you want to fit the curve of Fig. P4.2 with an equation) or using trial and error (my recommendation). 2. Pump and pipeline—M . The head/discharge curve of a centrifugal pump is shown in Fig. P4.2. The exit of the pump is connected to 1,000 ft of nominal 2-in. diameter horizontal pipe (D = 2.067 in.). What flow rate (ft^3/s) of water can be expected? Assume atmospheric pressure at the pump inlet and pipe exit, and take fF = 0.00475.EXAMPLE Leaking Tank. Outflow of Water Through a Hole (Torricelli's Law) This is another prototype engineering problem that leads to an ODE. It concerns the outflow of water from a cylindrical tank with a hole at the bottom. You are asked to find the height of the water in the tank at any time if the tank has diameter 2 m, the hole has diameter 1 cm, and the initial height of the water when the hole is opened is 2.25 m. When will the tank be empty? 2.20 M Water level asime Outiine walls 200 200 30t .00- 50- D 10000 30000 tebe Revelion 50000For 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
- Topic: Heat transfer Completely solve and box the final answer. 5. Water flows at 5m/s is passed through a tube of 2.5 cm diameter, it is found to be heated from 20degC to 60degC. The heating is achieved by condensing steam on the surface of the tube and subsequently the surface temperature of the tube is maintained at 90degC. Water properties are as follows: density=995kg/m3, kinematic viscosity=.657x10-6 m2/s, Pr=4.43, k=.628W/mK, cp=4178J/kgK. Find the thermal coefficient.Create the simulation model of the 3-tank system shown in Figure. S= 0,25 m2 SO=0,00065 m2 H=0,2 m Q1=0,008 m/s Q2-0,005m/s Simulate the course of the liquid level positions for different initial conditions and evaluate the steady state values. Case a: Case c: h10=1,2m h20=1m h30-0,7m Case b: h10-0,8m h20=1m h10-1,2m h20-1m h30=0,7m h30-0,1mA process tank has two input streams-Stream 1 at mass flow rate F1 and Stream 2 at mass 1now rate F2. The tank's effluent stream, at flow rate F, discharges through a fixed valve to atmospheric pressure. Pressure drop across the valve is proportional to the flow rate squared. The cross- sectional area of the tank, A, is 5m?, and the mass density of all streams is 940 kg/m³. (a) Draw a schematic diagram of the process and write an appropriate dynamic model for the tank level. What is the corresponding steady-state model? (b) At initial steady-state conditions, with F1 =2.0 kg/s and F2 =1.2 kg/s, the tank level is 2.25 m. What is the value of the valve constant (give units)? (c) A process control engineer decides to use a feed-forward controller to hold the level approximately constant at the set-point value (hsp=2.25 m) by measuring F1 and manipulating F2. What is the mathematical relation that will be used in the controller? If the F1 measurement is not very accurate and always…
- 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.Steam and water flow in a 25 mm tube at 300 C, 3500 kg/m2 s, and X = 0.4. Use the drift flux model and find α and S. [Ans. 0.68 and 4.7]Provide a complete step by step solution and state assumption used. Solve the estimated air flow requirement, pipe diameters and the pressure drops. Also provide a comment in terms of energy requirements for handling various types of solids for three piping system.