Every flow field must have to satisfy continuity equation whether it is laminar or turbulent. So here we are using continuity equation in polar coordinate for 2 D steady incompressible flow.
( turbulent flow ) for 2-dimnensional incompressible steady flow the velocity gradient in angular direction is...
Problem #7 (10 pt). The velocity field of a frictionless, incompressible, and steady-flow is given by V = 2xi +x+yj The gravity effect can be neglected. Find an expression for the pressure gradient in the x-direction.
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.
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).
Consider incompressible, steady, inviscid flow at vertical velocity vo though a porous surface into a narrow gap of height h, as shown. Assume that the flow is 2D planar, so neglect any variations or velocity components in the z direction. Find the x-component of velocity, assuming uniform flow at every x location. Find the y-component of velocity. Find an expression for the pressure variation, assuming that the pressure at the outer edge of the gap is Parm (hint: we can...
The radial component of a velocity field in an incompressible, 2D, flow field is measured to be Use the continuity equation to calculate ve
2.) For steady, incompressible flow which of the following values of velocity compo are possible? In other words, which fluid fields (a) and (b) will flow? a.) u = 3xy + y2,v = 5xy + 2x b.) u = 3x2 + y2,v = -6xy
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...
fluid mechanics A steady, incompressible, and laminar flow of a fluid of viscosity u flows through an inclined narrow gap of a crack in the wall of length L and a constant width W shown in Figure Q1(b). Assume that the gap has a constant thickness of 7. The fluid flows down the inclined gap at an angle and in the positive x-direction. No pressure gradient is applied throughout the flow but there is gravitational effect. Derive an expression for...
y-velocity cannot be a onsider a steady, laminar, fully developed (hint: this means function to the motion applied in the y-direction. Assume that the flow is 2D (in the x and y) and that grav of yJ, incompressible flow between two infinite plates as shown. The flow is due of the left plate at a rate of Vo, as well as, a pressure gradient that is points in the negative y-direction. (15 points) Vo List the assumptions of the problem...
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...