#1 The Equation of Continuity: Consider Figure 1 which illustrates a small mathernat ical box in...
In addition, derive the "wave equation" for an incompressible fluid. Use the continuity equation and the linearized euler equation. Linearized Euler: A flow is incompressible if a fluid element does not change its density as the element moves. From Problem 54.1, this means (7p/dt) u . ρ-0. (a) Show that for an incompressible fluid the equation of continuity reduces to V -u -0. (b) Write Euler's equation for the flow of an incompressible fluid. (c) What is c for an...
The Equation of Continuity states that the mass flow rate has the same value at every position along a tube that has a single entry and a single exit point for fluid flow. Basically it boils down to the idea that the fluid doesn’t magically disappear or appear. If 2.0 kg of fluid flows past a point in a tube in a time of 1.0 s, then 2.0 kg of fluid flows past another point in that tube in 1.0...
Problem 3. Consider a pipe containing a steadily flowing inviscid fluid. It has one inlet and branches into two arms so that there are two outlets (see Fig. 1). Flow can be considered uniform and parallel to the walls when entering and exiting the pipe Inlet Pi Outlet ρ2 A2 p, Outlet Figure 1: Flow of fluid through a "T" -junction in a pipe, shown from above (not to scale) Part A (a) The Continuity equation, as given on the...
I have this really hard advanced calculus assignment and these questions are stumping me hard. Asking for full solutions but anything is fine. Of course will give a thumbs up to good responses. I have copy and pasted the explanation for the questions and attached pictures of it in case the format is broken. Thanks MARK WHICH STATEMENTS BELOW ARE TRUE, USING THE FOLLOWING, In a classical fluid every molecule making up the fluid is subject to Newton's laws. In...
(25 pts) Mass balance continuity equation: Two imm tank, and fill the tank completely, as shown in Figure 1 below. The the tank has a specific gravity (SG) of 1.15, while the liquid at the top oft of o.75. If the velocity of the heavier liquid entering the bottom port orn meter/sec, then what is the velocity (meters/sec)l of t on the tank (each port's dimensions are given in the figure). What is the lishter liquid leaving the top port?...
all of 8 please. 8. An aluminum wire carrying a current of 5 A has a cross sectional area of 4 x 10'6 m2. Find the drift speed of the electrons in the wire. The density of aluminum is 2.7 g/cm3. (Assume three electrons are supplied by each atom). a) Recall the mass flow rate equation from semester 1. Rms Ro v b) Write the equivalent current relation for charges in a wire, I- c) What is the electrical analogy...
1. For the two-dimensional weir with a sharp crest shown in Figure 1, the equation for the flowrate per unit width, q, is given as 1) Applying the dimensional analysis, Buckingham theorem, show that C.' is the function of Reynolds number (Re D), Weber number (We , and P/H as given by Eq. (2). Assume that independent variables for the two-dimensional weir problem are q, H, P, μ, σ and g 4,-viscosity of water; σ-surface tension; ρ water density, g-gravitational...
Liquid saline flows steadily along the duct in Figure 1, which is part of an infusion set. The duct has constant cross-sectional area Ao-18 mm. The fluid velocity at the inlet section is Vo 0.35 m/s. A drug is added to the saline through a side port connected to the main duct at an angle θ 45°. The cross-sectional area of the side access is A1-10 mm2 and the drug is injected with velocity V,-0.8 m/s. The drug has the...
A Matlab introductory class Problem. The book for my class is "Introduction to MATLAB For Engineers, Third edition by William J. Palm I have solved the top speed, the time to reach top speed, and the speed the plane takes off at. this is what I have. I need help on the graphing portion of the problem I will give you a Thumbs Up if you solve this part for me. Thank You. LOOPING THE PLANE EGME 205, Fall 2018...
BIG UPVOTE FOR RIGHT ANSWER Viscous fluid flow 2nd edition Frank White I need answer of 2.17 I have attached 2.14 question and solution for reference. 2.17 As an extension of Prob. 2-14, consider the heat-transfer aspect by assuming a uniform entrance profile T = To and an exit profile approximated by T(r) = T0(1.5 + 0.5r2/ri). For flow with constant (p, F, cp, k) and negligible kinetic- and potential-energy changes, use the integral relations to compute the total heat...