Looking for help with this statics question

In an incompressible three-dimensional flow field, the velocity components are given by u = ax + byz; υ = cy + dxz. Determine th

Ksivusya [100]

An incompressible flow field F in a 3D cartesian grid with components u,v,w:

F = u + v + w

where u,v,w are functions of x,y,z

Must satisfy:

∇·F = du/dx + dv/dy + dw/dz = 0

We have a field F defined:

F = u+v+w, u = ax+byz, v = cy+dxz

du/dx = a, dv/dy = c

Recall ∇·F = 0:

∇·F = du/dx + dv/dy + dw/dz = 0

a + c + dw/dz = 0

dw/dz = -a-c

Solve for w by separation of variables:

w = ∫(-a-c)dz

w = -az - cz + f(x,y)

f(x,y) is some undetermined function of x and y

The question states that w is not a function of x and y, therefore f(x,y) = 0...

w = -az - cz

8 0

3 years ago

The reactivity of an element is based on it's __________.<br><br> a) protons <br> b) neutrons

Zigmanuir [339]

The answer is ....... none of the above. The reactivity of an element is based on its valence electrons

3 0

4 years ago

Read 2 more answers

This mathematical model describes the changes that occur in a sample of

Veseljchak [2.6K]

Answer:

the correct answer is B

Explanation:

The kinetic model of the movement describes that the movement of the molecules increases with the increase of their internal energy, which in a macroscopic sample is reflected in an increase in the temperature of the sample.

The sample graph shows the function of temperature over time, which is why our kinetic model establishes that there is an increase in the movement of water molecules.

Consequently the correct answer is B

8 0

3 years ago

A solid sphere of diameter D = 26 cm has a charge of Q = 4 nano-coulombs uniformly distributed on it. Calculate the magnitude of

kozerog [31]

Answer:

E = 4.83 N/ C

Explanation:

If we have a uniform charge sphere we can use the following formulas to calculate the Electric field due to the charge of the sphere:

$E= \frac{k*Q}{r^{2} }$ : Formula (1) To calculate the electric field in the region outside the sphere r ≥ a

Where:

K: coulomb constant (N*m²/C²)

a: sphere radius (m)

Q: Total sphere charge (C)

r : Distance from the center of the sphere to the region where the electric field is calculated (m)

Equivalences

1nC=10⁻⁹C

1cm= 10⁻²m

Data

k= 9*10⁹ N*m²/C²

Q=4nC=4 *10⁻⁹C

D = 26 cm = 26*10⁻²m = 0.26m

a = D/2 = 0.13m

r= R+a = 2.6 m+ 0.13m = 2.73m

Problem development

Magnitude of the electric field at r = 2.73m from the center of the sphere

r>a , We apply the Formula (1) :

$E= \frac{k*Q}{r^{2} }$

$E= \frac{9*10^{9}*4*10^{-9} }{2.73^{2} }$

E= 4.83 N/ C

3 0

3 years ago

Volcanoes that have fast flowing liquid lava will be narrow like a river

vodomira [7]

Answer:

Shield volcanoes, the third type of volcano, are built almost entirely of fluid lava flows. Flow after flow pours out in all directions from a central summit vent, or group of vents, building a broad, gently sloping cone of flat, domical shape, with a profile much like that of a warrior's shield.

Explanation:

8 0

3 years ago