Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

gerryliyana

  • one year ago

Solve the semi-imfinite plate problem if the bottom edge of width 20 is held at T = 0o for 0 < x < 10, and T = 100o for 10< x<20. And the other sides are at 0o

  • This Question is Closed
  1. gerryliyana
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Solve the semi-imfinite plate problem if the bottom edge of width 20 is held at: \[T = 0^{o} \rightarrow 0 < x < 10\]\[T = 100^{o} \rightarrow 10 < x < 20\] and the other sides are at \(\ 0^{o}\)

  2. gerryliyana
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1366518323249:dw| @oldrin.bataku hbu mate ??

  3. gerryliyana
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    have idea ?? i'm little bit confused for \(\ 100^{o}\) ---> 10 < x < 20..,

  4. LolWolf
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Is this similar to the Fourier heat problem?

  5. mukushla
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    gerry this is the same problem except that boundary condition for bottom edge

  6. mukushla
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    we had (note that 10 turens to 20)\[T = \sum_{n=1}^{\infty} a_ne^{-\frac{n \pi}{20} y} \sin (\frac{n \pi}{20} x)\]now for evaluating \(a_n\) using fourier series\[T = 0 \rightarrow 0 < x < 10 \\ T = 100 \rightarrow 10 < x < 20 \\ \ \ @ \ \ y=0\]so\[a_n=\frac{2}{20} (\int_{0}^{10} 0 \times \sin (\frac{n \pi}{20} x) \ \text{d}x+\int_{10}^{20} 100 \times \sin (\frac{n \pi}{20} x) \ \text{d}x)\]\[a_n=\frac{1}{10} \int_{10}^{20} 100 \times \sin (\frac{n \pi}{20} x) \ \text{d}x=...\]makes sense?

  7. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.