Water X 50-mm inside diameter 25-mm diameter As a consultant at one of the country's leading soft drink companies, you are tasked with evaluating the system depicted to determine the following parameters using Bernoulli's Equation if the values assigned to "X" and "Y" are 3m and 0.5m respectively: i. The volume flow rate of the system ii. The pressure at the point "A" iii. The pressure at the point "B"
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- . I am planning to perform some volume-flow rate measurements in the Fluid Mechanics Laboratory. For this, I need a volumetric measuring tank (graduated cylinder) and a stopwatch. I considered the volume of the measured tank as 15 gallons and a stopwatch with reaction time as 1/10th of a second (though resolution of 1/1000th of a second). What is the volume flow rate if it takes 5 minutes to fill a 15-gallon of tank? Determine the smallest division to be on the tank in order to estimate the volume flow rate within an accuracy of ± 0.05 gpm.For a venturi meter given below, the volumetric flow rate is defined in terms of the geometrical parameters, the density of working fluid (p), and density of the manometer liquid (pm) as 4. Q = f(D, D2, A2, g, h, Pmv Pr) %3D Write down the balance equations and show your work to end up with an expression for the volumetric flow rate in terms of the variables defined above.Q1: Apply appropriate solution method using math principles to prove that "the pressure at a point in a fluid has the same magnitude in all directions". Support your answer with sketch. Answer: Px Pz = Pn P are the mean pressures at the three surfaces in the x- and z-directions. Q2: Formulate the issue and identify key variables to prove that [AP = P2 - P, = pg Az = y, Az], where y, and p are the specific weight and density of the fluid, respectively. Az is the vertical distance. Support your answer with sketch. Q3: From fluid mechanics science perspective, define the center of gravity and the center of pressure. Q4: Identify the hydrostatic force acting on the top surface of a submerged rectangular plate by applying principles of engineering for the following cases: 1 tilted plate, (2 vertical plate, and 3 horizontal plate. Support your answer with sketch. Q5: By applying principles of fluid mechanics science, define the "rigid-body" and identify its features. Q6: Formulate the issue…
- An engineer would like to create a formula to determine the force exerted by a river flow on a bridge column. The figure of the problem is shown here in front and top views. Front view 18 |h Water properties V, P, μ Top view of This problems is similar but not the same of the exercise I solved in the class notes. Note that there are more variables which may be relevant for this problem, such as the gravity g and the flow depth h. Use the Buckingham Pi Theory to find an expression for the force F. 1) What popular non-dimensional numbers do you see? 2) What is the expression of the force?Assignment 3 On Viscosity Calculation - Word TOUT REFERENCES MAILINGS REVIEW VIEW Hyperlink P Bookmark tArt Chart Screenshot Apps for Office Online Video Cross-reference Comment Header Footer Page Number Text Quick WordA Box Parts - ns Apps Media Links Comments Header & Footer (2) Referring to the following figure, the distance between plates is Ay = 0.5 cm, Av: = 10 cm/s, and the fluid is ethanol at 273 K having a viscosity of 1.77cp (0.0177 g/cm s). (a) Calculate the shear stress ty and the velocity (b) gradient of shear rate -/dy using cgs units. (c) Repeat using SI units. A Torce Fdshear berween teoparailel platesvalg, (21535mm 1.15 The pressure difference, Ap, across a partial blockage in an artery (called a stenosis) is approximated by the equation μV Ap - K. 4 + K.(A-1) pv² = K₂ A s.r to zogy nish190 32\V as bonb dignol a 3 basiy noft where V is the blood velocity, u the blood viscosity (FL-2T), p the blood density (ML), D the artery diameter, Ao the area of the unobstructed artery, and A, the area of the stenosis. Determine the dimensions of the constants K, and K. Would this equation be valid in any system of units?
- The property of a fluid called viscosity is related to its internal friction and resistance to being deformed. The viscosity of water, for instance, is less than that of molasses and honey, just as the viscosity of light motor oil is less than that of grease. A unit used in mechanical engineering to describe viscosity is called the poise, named after the physiologist Jean Louis Poiseuille, who performed early experiments in fluid mechanics. The unit is defined by 1 poise = 0.1 (N s)/m2. Show that 1 poise is also equivalent to 1 g/(cm · s). %3Dfluıd mechanıcs Values for a fluid flowing in a circular pipe are given in the table.a) by writing Newton's law of viscosity,b) Determine the flow behavior of the fluids, show on the graph that they obey the Newtonian or non-Newtonian flow behavior. Calculate the dynamic viscosity values on the graph.c) If the viscosity of the liquid is 0.121 g/cm3, calculate the kinematic viscosity and convert it to the English Unit system.A cart weighing 0.5 kg is drawn up a smooth 45° incline by a motor, M, winding up a cable. The force in the cable can be expressed as 5t² N, where t is in seconds. When t = 0, the displacement s = 0 and the initial velocity is 3 m/s. Find the cart's velocity when t = 2 seconds. > Draw a very clear FBD of the cart that you can use to write the equations of motion > Write the equations governing the cart's motion along the incline. Use axes parallel and perpendicular to the incline. Find the velocity requested
- The power P required for operating a pump depends on the diameter of the pump D, the pressure rise Ap across the pump, the fluid density p, the fluid viscosity and the Theorem, and D, Q and p as the repeating variables, the dimensionless group associated with μ is given by volume flow rate Q through the pump. Using Buckingham's μDªQbpº. Determine the values of a, b and c. 1. [0.99, 1.01 2. [-1.01, 0.99 3. [-1.01, -0.99 a= b = C=Find the discharge of water in liters / second in a pipe of diameter 20 cm with the velocity of 4.5 m/s. (ENTER ONLY THE VALUE IN THE BOXES BY REFERRING THE UNIT GIVEN IN BRACKET) The discharge of water through pipe is (Lit/sec) = Which of the following is the dimension of capillary depression O M'L1 T° O M° L' T° O M'L-1 TO M° L-2 TO The viscosity of Hydrogen gas increases when we heat it. Select one: O True O FalseThe friction in flows through the pipe is defined by a dimensionless number called the fanning friction factor (f). The Fanning friction factor is represented by another dimensionless number, the Reynolds number (Re).It depends on the diameter of the pipe and some parameters related to the fluid. An equation that can predict f given the Reynolds number is given as follows. If Re =4000, e/D=0.01 in this equation, find the value of f using the Simple Iteration method by taking f0=0.1 as the initial value for the solution (ԑ=0.0001)