A two-dimensional unsteady flow with velocity V = ui + vj has the velocity component u...
A two-dimensional unsteady flow with velocity V = ui + vj has the velocity component u = 1, v = cos(t)
1. Derive the streamline y(x) that goes through point (0, 0) at time t = 0 (the final expression for y should be a function of x only). Sketch the result.
2. Derive the pathline y(x) of the fluid particle that goes through point (0, 0) at t = 0 (the final expression for y should be a function of x only). Sketch the result.
3. Calculate the acceleration vector. Your answer should indicate clearly the magnitude and direction.
Homework Answers
Add Answer to:
A two-dimensional unsteady flow with velocity V = ui + vj has
the velocity component u...
A two-dimensional unsteady flow with velocity V = ui + vj has the velocity component u...
A two-dimensional unsteady flow with velocity V = ui + vj has the velocity component u = 1, v = cos(t) Derive the pathline y(x) of the fluid particle that goes through point (0, 0) at t = 0 (the final expression for y should be a function of x only). Sketch the result.
6.35 The x component of velocity in a two-dimensional incompressible flow field is given by uAx;...
6.35 The x component of velocity in a two-dimensional incompressible flow field is given by uAx; the coordi nates are measured in meters and A 3.28 m There is no velocity component or variation in the z direction. Calculate the acceleration of a fluid particle at poin (x, y)- (0.3, 0.6). Estimate the radius of curvature of the streamline passing through this point. Plot the streamline and show both the velocity vector and the acceleration vector on the plot. (Assume...
The velocity in a certain two-dimensional flow field is given by the equation: ✓ = 2xti...
The velocity in a certain two-dimensional flow field is given by the equation: ✓ = 2xti – 2 yı where the velocity is in ft/s when x, y, and t are in feet and seconds, respectively. (a) Is flow steady or unsteady (b) Determine the expression of acceleration (c) Check if the flow is compressible or incompressible (d) Check if the flow is rotational or irrotational (e) Sketch the streamlines of t= ls on a x-y plane W
Given the velocity field V =107 +(x + y2)7-2xyk [m/s] Is the flow steady or unsteady?...
Given the velocity field V =107 +(x + y2)7-2xyk [m/s] Is the flow steady or unsteady? Is this motion kinematically possible for an incompressible fluid? Do you think that velocity field can represent a potential flow at specific positions of (x, y)? What is the acceleration of a particle at position (x, y, z) = (3, 1, 0) m?
Converging duct flow is modeled by the steady, two-dimensional velocity fieldV(u, v)Uo+ bx) i - byj...
Converging duct flow is modeled by the steady, two-dimensional velocity fieldV(u, v)Uo+ bx) i - byj For the case in which Uo 5.0 ft/s and b 4.6s-1, consider an initially square fluid particle of edge dimension 0.5 ft. centered at x 0.5 ft and y 1.0 ft at t0, as shown in the figure. Carefully calculate and plot where the fluid particle will be and what it will look like at time t 0.2 s later. Comment on the fluid...
6. An experimentalist has measured the u-velocity component of a steady, two- dimensional flow field. It...
6. An experimentalist has measured the u-velocity component of a steady, two- dimensional flow field. It is approximated by u 3x2y x 10 It is also known that the v-velocity is zero along the line y-O. a) Find an expression for the v-velocity in the entire field b) Find an expression for the streamfunction, 11, for this flow c) Determine the location of any stagnation points in the flow (stagnation means V-0) d) Calculate the acceleration field (ax and ay)...
A time-dependent, two-dimensional motion has three velocity components that are given by 1+ at 1+bt where...
A time-dependent, two-dimensional motion has three velocity components that are given by 1+ at 1+bt where a and b are pure constants. The objective of this problem is to compare and contrast the streamlines in this flow with the pathlines of the fluid particles a) Find the equations governing the streamline that passes through the point (1.1) at time b) Calculate the path of a particle that startsar (0Vo)-(1.1) at 0. Determine the location of a particle at t-1, denoted...
Ila A three-dimensional velocity distribution is given by u=-x, v-2y, w-5-. Find the equation of the...
Ila A three-dimensional velocity distribution is given by u=-x, v-2y, w-5-. Find the equation of the streamline through (2,1,1). Ans:x,5-2-(5-z)/x A three-dimensional velocity distribution is given by u=-x, v=2y, w= 6-2. Find the equation of the streamline through (1,2,3). Ans : xv) 1414 and (6-2)/x = 3 fundb L
C- A steady, incompressible, two-dimensional velocity field of a fluid is given by に(u, v) =...
C- A steady, incompressible, two-dimensional velocity field of a fluid is given by に(u, v) = (0.5 + 0.8x) velocity is in m/s. Determine: i+(1.5-0.8y) j where the x- and y-coordinates are in meters and the of 1-The stagnation point of the flow 2-The material acceleration at the point (x 2 m, y - 3m).
Fluid mechanics I A velocity field is given by v = 2y^+-2x] (a) Is the flow...
Fluid mechanics
I A velocity field is given by v = 2y^+-2x] (a) Is the flow steady? noble (6). Is the law irratungl * v=0 1 (c) What is the velocity of a particle at (2,1)? (d) Oblain an equation for the streamline through (2, 1).
6.35 The x component of velocity in a two-dimensional incompressible flow field is given by uAx; the coordi nates are measured in meters and A 3.28 m There is no velocity component or variation in the z direction. Calculate the acceleration of a fluid particle at poin (x, y)- (0.3, 0.6). Estimate the radius of curvature of the streamline passing through this point. Plot the streamline and show both the velocity vector and the acceleration vector on the plot. (Assume...
The velocity in a certain two-dimensional flow field is given by the equation: ✓ = 2xti – 2 yı where the velocity is in ft/s when x, y, and t are in feet and seconds, respectively. (a) Is flow steady or unsteady (b) Determine the expression of acceleration (c) Check if the flow is compressible or incompressible (d) Check if the flow is rotational or irrotational (e) Sketch the streamlines of t= ls on a x-y plane W
Given the velocity field V =107 +(x + y2)7-2xyk [m/s] Is the flow steady or unsteady? Is this motion kinematically possible for an incompressible fluid? Do you think that velocity field can represent a potential flow at specific positions of (x, y)? What is the acceleration of a particle at position (x, y, z) = (3, 1, 0) m?
Converging duct flow is modeled by the steady, two-dimensional velocity fieldV(u, v)Uo+ bx) i - byj For the case in which Uo 5.0 ft/s and b 4.6s-1, consider an initially square fluid particle of edge dimension 0.5 ft. centered at x 0.5 ft and y 1.0 ft at t0, as shown in the figure. Carefully calculate and plot where the fluid particle will be and what it will look like at time t 0.2 s later. Comment on the fluid...
6. An experimentalist has measured the u-velocity component of a steady, two- dimensional flow field. It is approximated by u 3x2y x 10 It is also known that the v-velocity is zero along the line y-O. a) Find an expression for the v-velocity in the entire field b) Find an expression for the streamfunction, 11, for this flow c) Determine the location of any stagnation points in the flow (stagnation means V-0) d) Calculate the acceleration field (ax and ay)...
A time-dependent, two-dimensional motion has three velocity components that are given by 1+ at 1+bt where a and b are pure constants. The objective of this problem is to compare and contrast the streamlines in this flow with the pathlines of the fluid particles a) Find the equations governing the streamline that passes through the point (1.1) at time b) Calculate the path of a particle that startsar (0Vo)-(1.1) at 0. Determine the location of a particle at t-1, denoted...
Ila A three-dimensional velocity distribution is given by u=-x, v-2y, w-5-. Find the equation of the streamline through (2,1,1). Ans:x,5-2-(5-z)/x A three-dimensional velocity distribution is given by u=-x, v=2y, w= 6-2. Find the equation of the streamline through (1,2,3). Ans : xv) 1414 and (6-2)/x = 3 fundb L
C- A steady, incompressible, two-dimensional velocity field of a fluid is given by に(u, v) = (0.5 + 0.8x) velocity is in m/s. Determine: i+(1.5-0.8y) j where the x- and y-coordinates are in meters and the of 1-The stagnation point of the flow 2-The material acceleration at the point (x 2 m, y - 3m).
Fluid mechanics
I A velocity field is given by v = 2y^+-2x] (a) Is the flow steady? noble (6). Is the law irratungl * v=0 1 (c) What is the velocity of a particle at (2,1)? (d) Oblain an equation for the streamline through (2, 1).
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 11 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 11 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 11 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 11 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 11 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 11 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 11 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 11 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 11 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 11 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 11 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 11 months ago