Problem 2: Using a control volume in Cartesian coordinates, derive the 2-D momentum equation in the...
Derive the W-Momentum equation using the finite volume method. Show the derivation in 2D using W and U.
Determine the Reynolds-averaged x-momentum equation in Cartesian coordinates starting from the equation provided. Du Dt ax o Du Dt ax o
Problem 2 (20 points) Consider a subsonic compressible flow in cartesian coordinates (x and y in meters), with velocity potential: $(x, y) = Vox + VI - M For an altitude of 10 km and velocity of 240 m/s, Calculate M, P, and T for the location (0.10 m, 0.15 m). 70 -24V1-My sin 27X
Problem 2 (20 points) Consider a subsonic compressible flow in cartesian coordinates (x and y in meters), with velocity potential: 70 -211-My °(x, y) = Vox+ sin 27 x VI - M For an altitude of 10 km and velocity of 240 m/s, Calculate M, P, and T for the location (0.10 m, 0.15 m).
Will Rate! Please write clearly, thank you Problem 30: 2D harmonic Oscillator (6 pts Setup the Hamilton-Jacobi Differntial equation in cartesian coordinates for the 2-dimensional harmonic oscillator and solve it. Find x(t) and y(t) Problem 30: 2D harmonic Oscillator (6 pts Setup the Hamilton-Jacobi Differntial equation in cartesian coordinates for the 2-dimensional harmonic oscillator and solve it. Find x(t) and y(t)
Problem 4 The parabolic cylindrical coordinates , , u) are related to the Cartesian coordinat es (x,y, z) by the transformat ion a) The line-element in Cartesian coordinates is given by d82-dr2+dy2+d22-De- termine the lne-elemen expressed in terms of the parabolic cylindrical coordinates b) Given F = 211,2) of the equation V22) F e where F depends only nu. Find the explicit form F-x F kF c) Solve the equation fro b) to find F Useful formulas: Given any ort...
Convert the following equation to Cartesian coordinates. Describe the resulting curve. 2 cos0-6 sin 0 r Write the Cartesian equation. Convert the following equation to Cartesian coordinates. Describe the resulting curve. 2 cos0-6 sin 0 r Write the Cartesian equation.
11. A student recently learned how to graph using Cartesian coordinates. They know that you are finishing Calculus 2 and they say to you, "I know how to graph by plotting points (x, y). What are polar coordinates? Do I plot a point the same way that I plot (x,y)?" Write your response to this student.
1. Convert the following (x,y) Cartesian coordinates to (r, theta) polar coordinates (record theta first in degrees and then radians): a) (12,5) [m] b)(-6.3,2.2) [m] 2. Convert the polar coordinates (13, 5.888) [m, rad] to Cartesian. 3. Find the angular momentum of a 2kg ball relative to the origin if the ball is mivung 3 m/s, 20° north of east the instant it is at (2, -3) [m] in relation to the origin. Sketch all of your vectors and show...
Using Cartesian coordinates, express all boundary conditions for the illustrated problem. Ny Nr