Africtionless, incompressible steady flow field is given by v = 2xyi − y2j (2) in arbitrary units. let the density be rhoo = constant and neglect gravity. find expressions for the pressure gradients in both the x and y directions.

pressure gradient in x direction:

pressure gradient in y direction:

Explanation:

Here the gravity is neglected and the field velocities is time independent, so we can use a simplify equation to Navier-Stokes.

V: Field Flow

ρ: Density

p: pressure

Before finding the pressure, let's define the components of the field vector.

Now, the x component pressure gradient will be:

We can apply the same analyze to find the y component of the pressure gradient. We just need to take the partial derivative from v.

I hope it helps you! :)

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: