An insect repellent spray bottle is attached to the end of a 1.7cm diameter garden hose.  Water from the hose goes through a 3.0 mm diameter constriction inside the top as shown in the image. The flow causes the pressure in the constricted area to drop, and the insect repellent is sucked up the tube 25 cm and mixed into the water stream. The insect repellent has a density of 1600 kg/m3. What is the minimum hose flow rate that will allow the insect repellent to be sucked up the tube and mixed with the stream? The water in the garden hose has a pressure of 50PSI

A capillary tube viscometer is being selected to measure viscosity of a liquid food. The maximum viscosity to be measured will be 230 cP and the maximum flow rate that can be measured accurately is 0.015 kg/min. If the tube length is 10cm and a maximum pressure of 25 Pa can be measured, determine the tube diameter to be used. The density of the product is 1000 kg/m3.

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)…

Consider the flow of a fluid with viscosity m through a circular pipe. The velocity profile in the pipe is given as u(r) = umax(1 - rn/Rn), where umax is the maximum flow velocity, which occurs at the centerline; r is the radial distance from the centerline; and u(r) is the flow velocity at any position r. Develop a relation for the drag force exerted on the pipe wall by the fluid in the flow direction per unit length of the pipe.