be modified if the problem were not axisymmetric?
GIVEN
Non-axisymmetric, steady, cylindrical geometry with heat generation and convective boundary
condition.
FIND
(a) Difference equations for the centerline and surface control volumes
SKETCH
For the control volume at the centerline we have
and the energy balance gives
For the control volume at the surface, we have for the volume per unit length
and for the surface area (per unit length) of the circumferential face inside Ro
For the surface area of the circumferential face at Ro we have
The surface area per unit length of the radial faces of the control volume are
The energy balance is
The solution of the above set of equations would be carried out in parallel with the method explained
for two-dimensional steady problems. The difference equation for the interior nodes
(steady state terms only) would be added to the above difference equations
and an iterative solution procedure would be employed to find the solution.
You might also like to view...
What do we mean by gravitational time dilation?
A) It is the idea that time runs slower in places where gravity is stronger. B) It is the idea that clocks run slow for people moving at high speed past you. C) It is the idea that everyone measures time differently, depending on his or her reference frame. D) It is the idea that clocks run faster in stronger gravitational fields.
A 20.0-N weight slides down a rough inclined plane which makes an angle of 30.0° with the horizontal. The weight starts from rest and gains a speed of 15.0 m/s after sliding 150 m. How much work is done against friction? Use g = 10 m/s2
A) 1270 J B) 1500 J C) -1500 J D) 229 J E) -229 J
The distance traveled by an automobile moving at a constant velocity is
a. directly proportional to the time. b. directly proportional to the time squared. c. inversely proportional to the time squared. d. inversely proportional to the time. e. none of these
Exhibit 11-1
Two birds of prey hurtling after the same mouse collide in mid-air and grab each other with their talons. Each 250-g bird is flying at 30 m/s at a 60° angle to the ground.
?
?
Use this exhibit to answer the following question(s).
Refer to . What is the magnitude of their velocity, in m/s, immediately after the collision?
a.
0
b.
13
c.
15
d.
26
e.
30