1. A two-dimensional flow has a y component of velocity of v = 4y, where y is in meter. If the flow is ideal, determine the x component of the velocity and find the magnitude of the velocity at the point x = 4 m, y = 3 m. The velocity of the flow at the origin is zero.

Problem 1: Derive the following macroscopic models for n = 0 and n ≥ 1 a.) U-k relation b.) U(max) c.) k(max) Problem 2: If the relation between speed (u) and density (k) is given by: -bk u = ae where a and b are constants. (e-natural base logarithm) Determine the maximum flow. Problem 3: A public school holds its flag ceremonies every Monday from 7:00 AM to 7:15 AM. During the singing of the national anthem, which lasts for about 2 minutes, all drivers stop in front of the school as an act of respect. Determine the characteristics of the shock waves formed by this activity. Estimate the time required for the traffic flow to be back to normal.

Please show all steps to solve the problem and include a free body diagram if necessary. Subject is fluid mechanics

1-A tank of water sits on a cart with frictionless wheels as shown. Assuming the water flow is frictionless and the jet velocity is v= √2gh where, his the depth of water, then the mass M that is just sufficient to hold the tank in place is (Take p = 1000 kg/m³) D=50 mm 60° 2m Rope H=0.6 M

If you decide to help, please help with all the parts of the question, I'm not sure I understand any of it... :/   The tank shown in the following figure is being filled by Pipes 1 and 2. The water level is to remain constant.   A tank of water is open at the top. The tank is filled from above by pipe 1 and pipe 2. Pipe 1 has diameter d1 = 1 in., and fills the tank with water at a velocity of V1 = 2 ft/s. Pipe 2 has diameter d2 = 1.25 in., and fills the tank with water at a velocity of V2 = 1.4 ft/s. Water empties from the bottom of the tank through pipe 3. Pipe 3 has diameter d3 = 1.5 in., and empties water from the tank at an unknown velocity V3. (a) What is the volume flow rate (in ft3/s) of Pipe 1? (b) What is the volume flow rate (in ft3/s) of Pipe 2? (c) What is the volume flow rate (in ft3/s) of water leaving the tank at 3? (d) What is the cross-sectional area (in ft2) of flow for Pipe 3? (e) What is the average velocity (in ft/s) of the water leaving the tank?

A fluid flowing steadily in a circular pipe of radius R has a velocity that is everywhere parallel to the axis (centreline) of the pipe. The velocity distribution along the radial direction is V₁ = U(1-1²2). where r is the radial distance as measured from the pipe axis and U is the maximum velocity at r = 0. The average velocity of the fluid in the pipe is

2Q. A flow field is defined by u = 2y, v = xy. Derive expressions for the x and y components of acceleration. Find the magnitude of the velocity and acceleration at the point (2,3). Specify units in terms of L and T.

With reference to a standard Cartesian (x, y) plane, the parabolic velocity distribution profile of fully developed laminar flow in x direction between two parallel stationary and identical plates that are separated by distance, h is given by the expression U = -h² (dp 8μ dx 1-4 In this equation, the y = 0 axis lies equidistant between the plates at a distance h/2 from the two plates. p is the pressure variable and is the dynamic viscosity term. The maximum and average velocities are respectively. Max and average velocity are

help me solve this differential analysis of fluid flow

Fluid mechanics question