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The temperature of a material is given by:
T = e −2t−x^ 2−y^ 2
The velocity field is given by v = (x^2 − y, −2x, 2y − z^2 )
Determine the material time derivative of the temperature.
Please provide step by step solution and i will give you a positive rating. Thank you. The temperature of a material is given by: T = e −2t−x^ 2−y^ 2 The velocity field is given by v = (x^2 − y, −2x,...
Step by step solution please. Thank you.
Find T(v) where T(x, y,z)-(x-y.y-z and v (1,7,3) by using the matrix relative to B-((.L).(0.L.o).(0.Ld02).(11)
Find T(v) where T(x, y,z)-(x-y.y-z and v (1,7,3) by using the matrix relative to B-((.L).(0.L.o).(0.Ld02).(11)
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A three dimensional flow has a velocity field given by 5. Vasin(t)itycos(t)jtzcos(t/2)k. What is the speed of the flow at t-z/3, x = 4, y =3, z-2.5? (Note, take sines and cosines with radians!). 6. A two-dimensional flow has a velocity field V given by V = (1/y)/ +x3/2, what is the slope of the streamline at (2,3)?
H08.2 (2 points) Given the vector velocity field V(x, y, z, t) = 4t i + xz j + 2ty3 k a) Is this a valid incompressible flow field? b) Is this flow field irrotational?
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The temperature at a point (x, y, z) is given by T(x, y, z) = 102-3x2 – 3y2 – 222 In which direction does the temperature increase fastest at the point (3, 1, 4)? Express your answer as a UNIT vector.
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3. Are the plane 6z 3y - 4z-12 and line L 2, y 32t, z2-2t parallel? If so, find the distance between them. If they are not parallel, but are intersecting (at a single point), find the point of intersection. If they are none of the above, draw a cat. 4. The line r(t) = 〈1, 1,1〉 +t(1,3,-1) and the plane...
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3. Which of the following velocity components represent a possible three-dimensional incompressible flow field? (a) 11 = x + y + z2,v=x-y+z, w-2xy + y2+4. 2 2 Ans: (a) Incompressible, (b) Incompressible (c) Not Incompressible 4. For a two-dimensional steady flow the y-component velocity is given by v-y2-2x+2y. What will be the x-component velocity and the full velocity...
The velocity field of a flow is given by V = (2+1) x y2 i + (3+2) t j m/s where x and y is in meter and t in seconds. Determine the following at point (1, 2) and t= 3 s: 1. The fluid speed. 2. The angle between the velocity vector and the positive x 3. Locations (if avaliable) of any stagnation point for this flow field? 4. The local acceleration, then classiffy the flow . 5. The...
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Let F =< 5x + 2, 2y + z, 10x + 10y > be a vector field in R3. Evaluate the following surface integral directly: XFX)DA Il vaš Š = [] E. (ru xro D S Where S is the part of the plane 5x + 2y + z = 10 in the first octant (with upward orientation).
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Given f(x,y) = V x² - y", find fun to fulfi Eyy and fyx. Given z = In(x² + 3y?)vx + 2 with x = sin(t) and y = (1)”, Use the chain rule to find (t = Check answer using direct substitution and the CALG key with t=1
Please provide step by step solution and i will give a positive rating. Many thanks 1)Suppose we have a steady fluid flow through a section of a cylindrical pipe with varying area, with control volume. At the entrance the radius of the pipe r1 = 4m, the flow velocity is U1 = 5 i m/s and at the exit the radius of the pipe is r2 = 2.5 m and the velocity of the flow is U2 = 5 i...