3.1 For the following flow fields, determine whether the flow exists or not: (b) V = -kx/yi + k In(x²y)} [Ans: (a) flow exists (b) flow exists]
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- A two dimensional, steady, incompressible and potential flow field of water (ρ=1000 kg/m3) is given with velocity components u and v. If the velocity component, u is given as u=1,5xy m/s with the magnitude of maximum pressure in the field as 42156 Pa. a) At x=+1 m and y=+2 m point, what is the magnitude of the velocity component v (in m/s)? (Please use 2 decimal digits in your answer) b) At x=+1 m and y=+2 m point, what is the magnitude of dynamic pressure (in Pa)? (Please do not use any decimal digit in your answer) c) At x=+1 m and y=+2 m point, what is the magnitude of static pressure (in Pa)? (Please do not use any decimal digit in your answer)A two-dimensional flow field has an x-component of velocity given in Cartesian coordinates by u = 2x − 3y. (a) Find v, the y-component of velocity, if the flow is incompressible and v = 0 when x = 0. (b) If the flow follows the Bernoulli equation, find an expression for the pressure distribution as a function of x and y, given that the pressure is p0 at the stagnation point.(a) State the equation describing the condition at streamline boundary for a two-dimensional flow with velocity V and displacement ds Using the equation, derive the equation of a streamline given by Eq. (4.1): ) (See attached images) (b) A steady, incompressible, two-dimensional velocity field is given by Eq. (4.2) : (see attached images) Where: the x- and y-coordinates are in metres and the magnitude of the velocity is in m/s. Calculate the material acceleration at the points of (x = 2, y= 3)
- 6.) A 100-mm diameter plunger is being pushed at 60 mm/sec into a tank filled with oil having sp.gr. of 0.82.If the fluid incompressible, how many N/s of oil is being forced out at a 30-mm diameter hole? Answer: 3.78 N/s Subject: Fluid Mechanic Lesson: Relative Equilibrium of Liquids Fundamentals of Fluid FlowA flow is uniform if the parameters describing the flow vary with distance along the flow path. TRUE FALSEAn unsteady flow has velocity field v = t2 (x2y, xy2) in cartesian plane. 1. is the flow compresible or incompresible? 2. Find a streamfunction of the flow. 3. Find the pattern of instantaneous streamline for the flow.
- A line drawn through the flow field in such a manner that the local velocity vector is tangent at every point along the line at that instant.A. Streamline C. Streakline B. Pathline D. Baseline1. Find the stream function for a parallel flow of uniform velocity V0 making an angle α with the x-axis. 2. A certain flow field is described by the stream function ψ = xy. (a) Sketch the flow field. (b) Find the x and y velocity components at [0, 0], [1, 1], [∞, 0], and [4, 1]. (c) Find the volume flow rate per unit width flowing between the streamlines passing through points [0, 0] and [1, 1], and points [1, 2] and [5, 3].One-dimensional method of flow analysis means (a) uniform flow (b) steady uniform flow (c) neglecting the variations in the transverse direction (d) neglecting the variations in the longitudinal direction.
- TRUE OR FALSE: Using conservation equation in fluid flow i. e. continuity equation, the set of velocity component below represents a possible incompressible flow: u = 2x2-xy+z2 ; v = x2 - 4xy+ y2 ; w=2xy-yz+y2Given the vector equation below for velocity of a given fluid: V=(0.5+1.2x)i + (-2.0-1.2y)j, derive an analytical expression for the flow streamlinesFluid Question A fire hose nozzle has a diameter of 1.125 in. According to some fire codes, the nozzle must be capable of delivering at least 250 gal/min. If the nozzle is attached to a 3 -in.- -diameter hose, what pressure must be maintained just upstream of the nozzle to deliver this flowrate?