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Consider incompressible, steady, inviscid flow at vertical velocity vo though a porous surface into a narrow...
please let other answer if you cant answer thanks please list assumptions, show work, and explain your reasoning carefully! please don't forget all this thanks 3. Consider incompressible, steady, inviscid flow at vertical velocity v though a porous surface into a row up of height, as shown. Assume that the flow is 2D planar, so neglect any variations or velocity components in the direction IV (a) Find the x-component of velocity, assuming uniform flow at every x location. points) Pind...
Consider steady, incompressible, laminar flow of a Newtonian fluid in the narrow gap between two infinite parallel plates. The top plate is moving at speed V, and the bottom plate is moving in the opposite direction at speed V. The distance between these two plates is h, and gravity acts in the negative z-direction. There is no applied pressure other than hydrostatic pressure due to gravity. Calculate the velocity and estimate the shear stress acting on the bottom plate Moving...
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...
An incompressible fluid flows between two porous, parallel flat plates as shown in the Figure below. An identical fluid is injected at a constant speed V through the bottom plate and simultaneously extracted from the upper plate at the same velocity. There is no gravity force in x and y directions (g-g,-0). Assume the flow to be steady, fully-developed, 2D, and the pressure gradient in the x direction to be a constant P = constant). (a) Write the continuity equation...
Problem #5 Consider a steady, incompressible, inviscid two-dimensional flow in a corner, the stream function is given by, -xy a) Obtain expressions for the velocity components u and v b) If the pressure at the origin, O, is equal to p o obtain an expression for the pressure field Sketch lines of constant pressure c)
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).
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...
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.
Air flow over a cylinder of radius R- 150mm is modelled as a steady, frictionless and incompressible flow. The vector form of the velocity field is 1" The freestream velocity far away from the cylinder is 75m/s and the static pressure is 101.3kPa. Note that this is similar to worked example 5.1 done during the lecture. However, now you know the Bernoulli equation can be used along a streamline...so: Find a) The stagnation pressure at the leading edge of the...
can you solve the last question (e) Q1. Consider a steady, two-dimensional, incompressible flow field has the velocity potential a) b) c) 2 (x-7)(x+y) Determine the velocity components and verify that continuity is satisfied. [4 marks] Verify that the flow is irrotational. [2 marks] Determine the corresponding stream function. [4 marks) Now, consider a steady, two-dimensional, incompressible flow defined by velocity components u = ax + b&v=-ay + cx, where a, b and care constants. Neglect gravity. d) e) Show...