2.) For steady, incompressible flow which of the following values of velocity compo are possible? In...
Meng334(fluids mechanics) plz solve it fast in 10 mins please Q2: A steady two-dimensional, incompressible flow of a Newtonian fluid with the velocity field: v = y2-x2 u-2 x y and w 0 (a) Does the flow satisfy conservation of mass. (b) Find the total pressure gradient VP) (c) Show that the pressure field is a smooth function of x and y. Don't compute the pressure. (9x 9y 0) = Q2: A steady two-dimensional, incompressible flow of a Newtonian fluid...
5.29 Consider the flow field given by V mine (a) the number of dimensions of the flow, (b) if it is a possible incompressible flow, and (c) the acceleration of a fluid particle at point (x, y, z) (2, 3, 4). хузі-4y+yk. Deter- 5.1 Which of the following sets of equations represent possible two- dimensional incompressible flow cases? (d) 11 = (2x+4y)st; u=3(x+y)yt 5.29 Consider the flow field given by V mine (a) the number of dimensions of the flow,...
Given the velocity field V =107 +(x + y2)7-2xyk [m/s] Is the flow steady or unsteady? Is this motion kinematically possible for an incompressible fluid? Do you think that velocity field can represent a potential flow at specific positions of (x, y)? What is the acceleration of a particle at position (x, y, z) = (3, 1, 0) m?
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.
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).
The y component of velocity in a steady, incompressible flow field in the xy plane is v = -Bxy3, where B = 0.7 m-3 · s-1, and x and y are measured in meters. (a) Find the simplest x component of velocity for this flow field. (b) Find the equation of the streamlines for this flow (use C as constant).
Given the velocity field ✓ =101 +(x2 + y2)ī -2xyk [m/s] b) Is the flow steady or unsteady? Is this motion kinematically possible for an incompressible fluid? Do you think that velocity field can represent a potential flow at specific positions of (x, y)? What is the acceleration of a particle at position (x, y, z) = (3, 1, 0) m? d)
( turbulent flow ) for 2-dimnensional incompressible steady flow the velocity gradient in angular direction is given by ln(r) .find the velocity component in angular as well as in radial directions
1) The velocity components in a 2-D incompressible flow are expressed as; u =(y/3 + 2x - x’y) m/s and v = (xy? - 2y - x®/3) m/s a) Determine the velocity and acceleration at point P (1, 3). (1 point) b) Is the flow physically possible? (Proof needed) (1 point) c) Obtain an expression for the stream function. () (1 point) d) What is the discharge between the streamlines passing through (1, 3) and (2, 3). (1 point) e)...
Considera steady, incompressible laminar flow of a Newtonian fluid in a pipe ignoring the effects of gravity. When a constant pressure gradient is applied in the x-direction, demonstrate that the maximum velocity of the fluid is given by 2 times of its average velocity.