fluid dynamics 1. A fluid moves two-dimensionally so that its velocity is given by (u, v)...
C- A steady, incompressible, two-dimensional velocity field of a fluid is given by に(u, v) = (0.5 + 0.8x) velocity is in m/s. Determine: i+(1.5-0.8y) j where the x- and y-coordinates are in meters and the of 1-The stagnation point of the flow 2-The material acceleration at the point (x 2 m, y - 3m).
Mechanics. Need help with c) and d)
1. A particle of mass m moves in three dimensions, and has position r(t)-(x(t), y(t), z(t)) at time t. The particle has potential energy V(x, y, 2) so that its Lagrangian is given by where i d/dt, dy/dt, dz/dt (a) Writing q(q2.93)-(r, y, z) and denoting by p (p,P2, ps) their associated canonical momenta, show that the Hamiltonian is given by (show it from first principles rather than using the energy) H(q,p)H(g1, 92,9q3,...
A particle moves along the x-axis so that its velocity at any time t/geq0 is given by v(t) = 1 - sin(2t). (a) Determine the expression for acceleration at any time t. (b) Find all values t, 0 <t<2, for which the particle is at rest. (c) Determine the expression for the position Jf the particle at any timet if x(0) = 0.
2. A particle moves in the x-y plane. Its coordinates are given as functions of time t(2 0) b x(t)-R(at-sina)t), )Sketch the trajectory of the particle. This is the trajectory of a point on the rim of a wheel y(t)-R(1-cosω t), where R and ω are constants. (a) (3 that is rolling at a constant speed on a horizontal surface. The curve traced out by such a point as it moves through space is called a cycloid. (b) (5 Find...
hi i am in a fluid dynamics class and need some help with the
question attached. please be specific and write out all steps so i
know how to do the problem.
A belt moves upward at velocity V, dragging a film of viscous liquid of constant thickness h. Near the belt, the film moves upward due to no slip. At its outer edge, the film moves downward due to gravity. - liquid dynamic viscosity: u density:P belt 1- Using...
PTUURBIJ + 5. Velocity field of a 2-dimensional flow motion of an inviscid and incompressible fluid is given by, u=x', v=y', w=0 a) Fluid velocity and the magnitude of velocity at a point M(-3,2). b) Fluid acceleration and its magnitude at a same point.
Converging duct flow is modeled by the steady, two-dimensional velocity fieldV(u, v)Uo+ bx) i - byj For the case in which Uo 5.0 ft/s and b 4.6s-1, consider an initially square fluid particle of edge dimension 0.5 ft. centered at x 0.5 ft and y 1.0 ft at t0, as shown in the figure. Carefully calculate and plot where the fluid particle will be and what it will look like at time t 0.2 s later. Comment on the fluid...
A two-dimensional unsteady flow with velocity V = ui + vj has the velocity component u = 1, v = cos(t) Derive the pathline y(x) of the fluid particle that goes through point (0, 0) at t = 0 (the final expression for y should be a function of x only). Sketch the result.
9. A particle moves along the x-axis so that its velocity v at time t, for0 sts 5, is given by v(t) In(t2-3t +3). The particle is at position x 8 at time t 0. a) Find the acceleration of the particle at time t 4. b) Find all times t in the open interval 0<t <5 at which the particle changes direction. During which time intervals, for 0st s 5, does the particle travel to the left? c) Find...