- #1

rudy

- 45

- 9

- Homework Statement
- "Use a computer" to solve the third order differential equation by modifying the boundary conditions (see picture of problem).

- Relevant Equations
- f*(d^2f/dn^2) + 2*(d^3f/dn^3) = 0

f = 0 @ n = 0

f' = 0 @ n = 0

f' = 1 @ n = inf -or- f" = Constant @ n = 0 (see note)

Hello,

This problem comes from boundary layer theory in fluid mechanics, but we are studying it in heat transfer.

note: Since we are solving this numerically is has been suggested to replace the third boundary condition with f" = constant and then guess a constant. Then we are to check that using that constant f' converges at 1.

They even tell us the value of the constant (0.3321), however I have no clue how to check this answer. If f(n) is an undetermined function how can I solve this numerically?

If there is any information that would help let me know I will do my best to provide. I realize I haven't done much of an attempt at a solution, but I really don't know what to take for a first step! Any tips or suggestions appreciated.

-Rudy

This problem comes from boundary layer theory in fluid mechanics, but we are studying it in heat transfer.

note: Since we are solving this numerically is has been suggested to replace the third boundary condition with f" = constant and then guess a constant. Then we are to check that using that constant f' converges at 1.

They even tell us the value of the constant (0.3321), however I have no clue how to check this answer. If f(n) is an undetermined function how can I solve this numerically?

If there is any information that would help let me know I will do my best to provide. I realize I haven't done much of an attempt at a solution, but I really don't know what to take for a first step! Any tips or suggestions appreciated.

-Rudy