Answered: v =xyz'i- k 2 | bartleby

Related questions

Question

100%

Show that the following velocity field (v) satisfy the continuity equation for an incompressible flow. Then determine the vorticity at this point (1, 1, 1).

v = xyz'i-
k
2 3

Expert Solution

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

A firehose hasradius a, and water flows through it at speed u.The conical nozzle narrows the radius down to b.Find the speed v at which the water leaves thenozzle.
(3)[Write down the equations governing the velocity and pressure in the steady, two-dimensional flow of an inviscid, incompressible fluid in which gravity may be neglected. If the fluid is stratified, the density p will depend, in general, on both x and y coordinates. Show that the transformation u* = Vpl Pou, v* = l pov, in which Po is a constant reference density, transforms these governing equations linto those of a constant density fluid whose velocity components are u* and v*.
A vertical plate is partially submerged in water and has the indicated shape. 12 m pg 4 m Express the hydrostatic force (in N) against one side of the plate as an integral (let the positive direction be upwards) and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s2 for the acceleration due to gravity. Recall that the weight density of water is 1,000 kg/m³.) x ) dy = [ D N
The U-tube in Fig. is moving to the right with variablevelocity. The water level in the left tube is 6 cm, andthe level in the right tube is 16 cm. Determine the accelerationand its direction.
) A vertical plate is submerged in water and has the shown shape. The plate is a semicircle with a diameter of 14 meters and the top is at a depth of 2 meters. Express the force as an integral and then evaluate.
Consider the following figure. A pressure-volume graph is plotted on a coordinate plane, where the horizontal axis is V (m3), and the vertical axis is P (MPa). The path consists of three line segments: a segment from point i (1,8) to (3,8), a segment from (3,8) to (5,2), a segment from (5,2) to point f (7,2). An arrow along the path is aligned such that its tail is closer to point i than is its tip. The area below the segments in the first quadrant is shaded. Horizontal and vertical dashed lines extend from each of the points to divide the shaded area into four rectangles and a triangle. (a) Determine the work done on a fluid that expands from i to f as indicated in the figure.MJ(b) How much work is done on the fluid if it is compressed from f to i along the same path?MJ
A) B) c) In a viscous turbulent flow near a wall, laminar shear is dominant near the wall. In dimensional analysis, the reduction is less than or equal to the number of fundamental dimensions involved in the problem. (X) X In order to obtain meaningful continuum properties, the unit volume should be smaller than the cube of molecular spacing (X)
Consider steady, incompressible flow through two identical pumps (pumps 1 and 2), either in series or in parallel. For each statement, choose whether the statement is true or false, and discuss your answer briefly: (a) The volume flow rate through the two pumps in series is equal to V. 1+V. 2. (b) The overall net head across the two pumps in series is equal to H1 + H2. (c) The volume flow rate through the two pumps in parallel is equal to V.1 + V.2. (d) The overall net head across the two pumps in parallel is equal to H1 + H2