Problem 3. A 2D velocity field for an incompressible Newtonian fluid is given by u 12xy-62.3,...
Problem 3- For flow of an incompressible, Newtonian fluids between parallel plates, the velocity distribution between the plate is given by 1 dP 2μ dr where y is the direction from one plate (y-0) to another (y-w),and x is the direction of flow a) What is the expression for the rate of deformation matrix? b) What is the expression for the stress matrix? c) At the center of the flow y w/2, what is the direction of internal forcing due...
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).
, (20 pts) The Newtonian fluid is confined between an upper plate and a bottom f If its velocity profile is defined by u s(9y-0.1y3) rn m/s , where y is in mm, (a) determine the shear stress that the fluid exerts on the upper plate and bottom fixed surface and (b) indicate the direction of each shear stress. Take the fluid viscosity A0.482 N s/m2.
Consider the flow of a Newtonian fluid with the velocity field U-(-29) i + 02-r) j. Find the -x)j. Find the pressure field /tr, y) ir the pressure at point x-О.ye 0 is equal top.. Assume: The flow is two dimensional . The flow is incompressible . The flow is steady
3. (30 points) Consider a two-dimensional flow of a Newtonian fluid in which the velocity field is given by 2ry (a) (5 points) Is this flow incompressible? b) (10 points) Use the x-momentum equation to determine ap/aa (e) (10 points) Use the y-momentum equation to determine ap/dy (d) (5 points) Use the above results to integrate and solve for p(x, y). Evaluate constant of integration by setting p(0,0- Pa as a condition (e) (45 Bonus points) Determine the viscouas stress...
An incompressible fluid flows horizontally in the x-y plane with a velocity given by , and , where and are in meters and is a constant. Determine the average velocity for the portion of the flow between and if m/s.
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.
5) The velocity field for a 2D U=(x-2y)t Ň - (2x+y)t flow Ý is: a) Is this How incompressible? irrotational? 6) Find the acceleration of a Fluid element in this c) Find 0 and 4 for this flow . flow
6.35 The x component of velocity in a two-dimensional incompressible flow field is given by uAx; the coordi nates are measured in meters and A 3.28 m There is no velocity component or variation in the z direction. Calculate the acceleration of a fluid particle at poin (x, y)- (0.3, 0.6). Estimate the radius of curvature of the streamline passing through this point. Plot the streamline and show both the velocity vector and the acceleration vector on the plot. (Assume...
2. The velocity field for a fluid is defined by u = [y/(x2 + y2)] and v = [4x/(x2 + y2)] where x and y are in meters. Determine the acceleration of a particle located at point (2m, 0).