Doe: 4pm, August 27,2018 Question 1 will be marked in detail For Question 1, use the...
1. For water at 20 C flowing through a straight smooth pipe at 0.06 m/h, the pipe diameter for which transition to turbulence will occur is approximately a. 1.0 cm b. 1.5 cm c.2.0 cm d. 2.5 cm e. 3.0 cm 2. Find the Reynold number, the roughness parameter, the friction factor f and the pressure drop for flow of water at 20 C through a 5 cm diameter pipe of roughness height E=0.5 mm if the flow rate is...
10. Water flows through 5 meter lonq section of concrete pipe with a diameter of 10.5 cm at a velocity of 6.4 m/s. The friction factor, based on the Reynolds number and surface roughness is 0.035. The density of water is 1000 kg/mA3. What is the pressure drop along the 5 meter long section of pipe? Round your answer to the nearest tenth of a kPa-
Q5. Sketching a suitable control volume, show that the velocity profile V(r) for steady, fully laminar flow in a horizontal pipe is given by V(r)- whereis is the pressure drop per unit length of pipe, R is the pipe radius and u the dynamic viscosity of the fluid. (10 marks) Thereafter develop Poiseuille's law for the volume flow rate O in the form SuL (10 marks) Hence show that the head loss h is given by where Vis the mean...
Question 3 [20 marks] Water (density p1000 kg/m2; dynamic viscosity 0.001 Pa-s) flows steadily through a horizontal, straight pipe with circular cross section of diameter D=0.2 m. The volumetric flow rate is 0.01 m°/s. Argue that this is turbulent flow. [4 marksl а. Pressure drop in the pipe is due to friction. The pressure drop per unit length can be written as Др 4f L with U the average velocity in the pipe and fthe friction factor. Given the pipe...
3. (a) For the flow of a real fluid (p, u) in a rough (e measures losses lead to a pressure gradient along the pipe - Ap/L. Determine an expression for the pressure roughness) horizontal pipe energy Ap ( L pV2 gradient for a pipe of diameter - d, flowing with a mean velocity - V. pVd'd d (b) If for a 75mm diameter pipe flowing with water at 0.25m/s the measured pressure drop is 120Pa/m What will be the...
The required water flow rate in the 6 cm diameter 30-meter long circular pipe in the diagram below is 12 liters per second. The water temperature is 4 °C and the flow discharges into the atmosphere at a pressure of PB = 100 kPa. The flow is fully developed turbulent flow and there is no elevation change. The surface of the wall has become degraded due to pitting and deposits such that there is a surface roughness with a height...
A light oil is flowing through a commercial steel pipe of diameter D1. The head available to produce flow is independent of the flow rate. It is decided to utilise this head to increase the oil flow rate fourfold by installing a second pipe in parallel with the first pipe and of the same length. What should the diameter of the second pipe be, if: (i) flow in each of the two pipes is highly turbulent and the same roughness...
Water at 20° flows in pipeline system shown below (Fig. 1) at rate of 32400 Vhr. Pipe 1 is 15m long and 0.044 m outer diameter and pipe 2 is 100m long and 0.034m outer diameter. The thickness of both pipes is 2mm. Pipe I is a ductile iron uncoated pipe and pipe 2 is ductile iron coated pipe. There are totally 4 elbows in the system (two elbows in each pipe) and the elbows are 90° street elbows. All...
Please help with the following matlab code and please show all work. Thank you! Viscous losses in a pipe are expressed in terms of a friction factor, f. It is important to know the frictional forces in pipe flow because they result in pressure loss which must be accounted for in the piping system. For turbulent low in pipes, the friction factor is caleulated using the Colebrook e/D 2.51 where e is the roughness height, D is the pipe diameter...
Question D.1 A2 Not sure Water flows between two tanks connected by a 100 m long pipe as shown in figure D1-1 below The tanks have a free surface height difference of 15 m and are both open to atmosphere. The first 30 m of pipe from the upper tank (section 1) has an internal diameter of 50 mm and a friction factor of 0.006, whilist the remaining 70m of pipe (section 2) has an internal diameter mm and a...