5. It is suggested that an incompressible fluid flows with the velocity fieldv = (sin (xy²zt), x²t, zy²t)a. Determine expressions for flow divergence, and (clearly stating the x, y and zὃν DvDtƏtcomponents).b. Explain in a few sentences the difference between DEE andDtc. Is physically acceptable? State your reasoning.ƏvƏt

To find: (a) The expression for flow divergence, ∂v∂t and DvDt. (b) The difference between ∂v∂t and…

5. It is suggested that an incompressible fluid flows with the velocity field v = (sin (xy²zt), x²t, zy²t) ду Dv a. Determine expressions for flow divergence, and (clearly stating the x, y and z at Dt components). ὃν b. Explain in a few sentences the difference between and c. Is physically acceptable? State your reasoning. Dv Dt

5. It is suggested that an incompressible fluid flows with the velocity field v = (sin (xy²zt), x²t, zy²t) ду Dv a. Determine expressions for flow divergence, and (clearly stating the x, y and z at Dt components). ὃν b. Explain in a few sentences the difference between and c. Is physically acceptable? State your reasoning. Dv Dt

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

The velocity axis flow function of the ideal fluid for flow in the plane,It is given as (given equation in the picture). It shows the main interactions in units of x and y meters. a) Determine the velocity components of the flow and determine if flow is physically possible? b) Calculate the pressure difference between points A (2, 2) and B (3, 3). c) Calculate the unit width flow (q) passing between the points A (2, 2 ) and B (3, 3). (given equation in the picture). Thank you indeed.
Fluid Mechanics Assis.Professor Dr. Hasan Ali Jurmut HOMEWORK Q/A two-dimensional flow field has velocities along the x and y directions given by u = x2t and v = 2xyt, respectively, wheret is time. Determine the acceleration .If the time is(5 sec.) at point (3,5). Q/Consider steady, incompressible and flow through a reducer in a horizontal pipe where the diameter is reduced from 20 cm to 10 cm. The pressure in the 20 cm and 10cm is 150 and 50 kPa respectively. Compute the flow rate in m²/s. 2 150 kPa 50 kPa V, V, 10 cm 20 cm 20 cm II
A flow is described by the flow field of vec(V)=A(1+Bt)hat(i)+Ctyhat(j), where A=1 m/s, B=1 s -1 , and C=1 s -2 . The unit for the coordinates is meters. a. Plot the pathline that passes through the point (x=1 m, y=1 m) at time t=0 . b. Compare the streamlines through the point (x=1 m, y=1 m) at time t=0, 1, and 2 s. c. Calculate the acceleration at time t=0 along the streamline passing the point (x=1 m, y=1 m) at time t=0 .
1-Consider the flow of a fluid in rectangular coordinates VX=XY2, VY=-X2Y, VZ=0 and ρ=xy. Make sure the velocity and density represent a physically possible flow. Remarks: For resolution, use the continuity equation. Furthermore, it is important to look in the literature for what flow is possible from the continuity equation together with the substitution of rectangular coordinate values.
HW5_Question 3. Consider the following velocity field v = U, (x² – y² + x) ex – U, (2xy + y) e, - (b) Compute the volumetric flow rate (with a unit of m/s) through the plane at x=5 m and extending from y=0 to y=5 m and width 3 m in the z direction. The unit normal vector is in the positive x direction. Uo=2.7m/s
5. It is suggested that an incompressible fluid flows with the velocity field v = (sin (xy²zt), x²t, zy²t) Əv a. Determine expressions for flow divergence, and (clearly stating the x, y and z components). Dv Dt b. Explain in a few sentences the difference between and c. Is physically acceptable? State your reasoning. av at
Velocity field of an incompressible flow is given by V = 6xi − 6yj (m/s) a) Find the pathlines in x-y plane. Make a sketch of pathlines for x ≥ 0 and y ≥ 0. b) Find the streamlines. Make a sketch of streamlines for x ≥ 0 and y ≥ 0. c) At time t = 0 s, the position of a rectangular fluid element ABCD is described by the corner points A(1,3), B(2,3), C(1,2) and D(2,2). Determine the new position of the fluid element at time t = 1/6 s
The velocity field is given as u=y-1 and v=y-2. The units of u and v are m/s and the units of x and y are meters. a) Draw the stream line passing through the point (x,y)=(4.3). b) Determine the streakline passing through the point (x, y) = (4,3) and compare it with the streamline. c) Determine whether the current is revolving or not.
If the velocity field, V=3y2 i. Which of the following is NOT TRUE? Select one: The flow is steady The flow is irrotational The flow is horizontal d. The flow is incompressible Consider the velocity field, V=(x2+y2-4)i+(xy-y)j. Which of the following is not a stagnation point? A stagnation point is a point in the velocity field where the velocity is 0. (2, 0) (-2, 0) (1, √3) (-1, √3)
1. A fluid is flowing steadily through a vertical tube of length L and radius R. It has constant density and viscosity. Pressure at the tube entrance and exit are Po and PL .Take appropriate assumption and coordinate system and write the differential equations to solve the flow field. Also state the boundary conditions that are applicable here. Po P.
Example 10.4-1 Stream Functions for a Flow Field The velocity components for a flow field are as follows: v, = a(x² – y²³), v, =-2axy V. V. %3D Prove that it satisfies continuity equation for two dimensional flows and find y. Plot streamlines for y=1 to y=6.
in the X-Y plane; permanent, 2B, in an uncompressed flow, a, b and C are constant there is a velocity field defined as follows. a-) Continuity equation show that it is provided. b-) calculate the pressure as a function of x and y?