Monday
April 21, 2014

Homework Help: math

Posted by paul gokool on Wednesday, October 12, 2011 at 7:56am.

The radius of a sphere immersed in an infinite ocean of incompressible fluid with density
according to the equation, R(t) = A + a cos(nt), where R(t) is a function of time, t, and A,
constants, with ‘a’ being positive. The fluid moves radially under no external forces and
pressure at infinity is P¥. If the velocity potential, F , for the motion of the fluid is given
where f (t) is a function of time, then address the following:
(a) What is a reasonable assumption for the form of the velocity field, q , of the fluid?
(b) Show that the velocity, v , of the boundary is, v = −an sinnt r.
(c) By considering the boundary condition, find f (t).
(d) Determine the pressure at any point on the sphere using Bernouilli’s equation for unsteady
(e) Show that the maximum pressure attained on the sphere is,






= ¥ + +
A
3a
p P n a
2
r 2 .

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

physics - Two solid spheres A and B are made from the same material. The mass of...
college physics - Two solid spheres A and B are made from the same material. The...
college physics - Two solid spheres A and B are made from the same material. The...
math - a hemispherical bowl of radius r cm is filled with water.a sphere of ...
Calculus - 4. At time t, t>0, the volume of a sphere is increasing at a rate ...
physics - A solid aluminum sphere has a radius of 2.28 m and a temperature of 89...
physics - A solid aluminum sphere has a radius of 2.28 m and a temperature of 89...
calculus - 3. The radius r of a sphere is increasing at a constant rate of 0.04 ...
geometry - a hemispherical bowl of radius r cm is filled with water.a sphere of ...
PHYSICS - A 494 kg uniform solid sphere has a radius of 0.390 m. Find the ...

Search
Members