QUESTION 9 A liquid cooled heat sink for a smartphone is sketched in Figure Q9. It uses water of density p = 997 kg-m-3 and kinematic viscosity v = 1.19 x 10-6 m².s-1 that runs in the x₁ direction through each of the five tubes of constant diameter D₁ = 5 mm and length Lx1 = 20 mm. It is supplied by a U = 0.017 m-s-1 uniform water inflow. Use Blasius' skin friction coefficient Cf = 0.664 / Rex10.5 to calculate the total skin friction drag force imparted by the flow on the heat sink walls. Calculate your answer in microNewtons, to one decimal place and enter the numerical value only. 1 microNewton = 10-6 Newtons. Partial credit is awarded for a reasonable approximation to the correct numerical answer. LX2 Lx1 00000 LX3

Working for an engineering consultancy firm, your knowledge of fluid dynamics is required to design a new safety feature for a high-pressure air line in a factory. The air line takes the form of a cylindrical pipe of diameter 150 mm, which is designed to operate between 0.45 MPa and 0.76 MPa. At the end of the pipe a burs9ng disk is placed so that, if the pressure exceeds the maximum opera9ng pressure, the air is vented to atmosphere rather than over-pressuring the chemical reac9on vessel (Figures 4a and 4b). In this ques9on, you should treat the flow as quasione-dimensional and inviscid. The air in the surrounding atmosphere is at 101 kPa and 298 K. a) You have a choice of five disks which can withstand the following forces across them before burs9ng: 10.5 kN, 11.0 kN, 11.5 kN, 12.0 kN, 12.5 kN. Which of these burs9ng disks would you recommend, and why? b) Due to an over-pressurisa9on of the air line, the disk bursts at 9me t = 0. At what pressure in the air line will this occur? c)…

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Corection the following number k=.02625,Kinematic viscosity(fancy v)=16.55*10^-6m^2/s,Pr=.7 Re(x=L)=54380 Nu(x)=170.1 h(x=L)=29.8 Ts(l)=54.9C

Example(1-13): steam and water flow through 75 mm inside diameter pipe at flow rate of 0.05 and 1.5 m³/s respectivily. If the mean temperature and pressure are 330 K and 120 kpa, what is the pressure drop per unit length of pipe. Where the pipe roughness 0.00015 mm, liquid and gas viscosities are 0.52x10³ pa.s and 0.0133x10-³ pa.s.

Problem 2 For this problem, use the graph below, also given at the end of the notes on stress concentration. Determine the stress concentration factor in a 0.2 inch thick flat bar with two symmetric grooves (semi-circular notches) of radius 0.3 inches and width 2.6 inches. Use the graph in Fig. 2. 3.0 Nolched rectangular bar in lension or simple compression. a0 = F/A, where A = dt and is the thickness. 2.6 2.2 1.2 K, 1.1 1.8 1,05 14 1.0 0,05 0.10 0.15 0.20 0.25 0.30 rld Fig. 2