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Engineers this should be challenging

 
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Engineers this should be challenging - 11/17/2008 9:49:49 AM   
brute650i


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I am having trouble with this problem anyone think they can help me with it. The class is called advanced engineering mathematics.

Here we Go:




CAS PROJECT. Isotherms.
Find the steady-state solutions (temperatures) in the square plate in Fig. 294 with a = 2 satisfying the following boundary conditions.  Graph isotherms.
a) u = sin πx on the upper side, 0 on the others.
b) u = 0 on the vertical sides, assuming that the other sides are perfectly insulated.
c) Boundary conditions of your choice (such that the solution is not identically zero).

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RE: Engineers this should be challenging - 11/17/2008 10:00:52 AM   
OUTLAWED450S


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im not an egineer but i can tell you if your not sure of the answer. always choose C....

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RE: Engineers this should be challenging - 11/17/2008 10:16:24 AM   
brute650i


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I wish it was as easy as multiple guess but I'm spose to work it those 3 ways

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RE: Engineers this should be challenging - 11/17/2008 6:00:06 PM   
camogrizz51


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lol not that far into college yet

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RE: Engineers this should be challenging - 11/17/2008 6:18:23 PM   
fowheelin


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try these guys out, i bet they can help

http://www.youtube.com/watch?v=rLprXHbn19I

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RE: Engineers this should be challenging - 11/17/2008 7:40:46 PM   
Fish700


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10.......Yeah,10.

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RE: Engineers this should be challenging - 11/17/2008 8:13:10 PM   
brute650i


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good video I don't think Ive laughed that hard in a while.

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RE: Engineers this should be challenging - 11/17/2008 8:21:25 PM   
Gumbo03


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Is this Heat Transfer? Ive had HT but Ill have to think about this one.  Doesnt really seem like it would be that tough though!

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RE: Engineers this should be challenging - 11/17/2008 8:22:35 PM   
Gumbo03


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Maybe use a Thermal resistance series.  Thats what direction Im lookin

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RE: Engineers this should be challenging - 11/17/2008 8:28:50 PM   
brute650i


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yes the problem is about heat transfer solution by Fourier series. The book we are using for this class is terrible and also the teacher is foreign so that doesn't help either.

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RE: Engineers this should be challenging - 11/17/2008 8:30:40 PM   
kleinwild


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b

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RE: Engineers this should be challenging - 11/17/2008 8:33:11 PM   
Rinny650


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Not completely sure on all this. But maybe just maybe this link will help.

http://www.frigprim.com/articels/analsolv_1.html

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RE: Engineers this should be challenging - 11/17/2008 8:35:53 PM   
brute650i


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camogrizz51 what year are you? 

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RE: Engineers this should be challenging - 11/18/2008 10:32:47 AM   
alan_smith


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Yeah, haven't gotten that far in the engineering curriculum yet!

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    RE: Engineers this should be challenging - 11/18/2008 10:37:50 AM   
    Justin Q.

     

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    My brain just went from fine to hurting in those 5 seconds of reading.

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    RE: Engineers this should be challenging - 11/18/2008 3:02:43 PM   
    camogrizz51


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    quote:

    ORIGINAL: brute650i

    camogrizz51 what year are you? 


    sophmore, i have 32 credits not including this semester.  I'll have 45 hours after this semester,  Im taking it easy cause i took 18 hours last semester and i not doing that again lol

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    RE: Engineers this should be challenging - 11/18/2008 3:07:42 PM   
    duramax/660rhino


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    PM ENGIE on here he's in school now for mechanical engineering 

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    RE: Engineers this should be challenging - 11/18/2008 4:14:30 PM   
    brute650i


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    Im a junior at Ole Miss but let me guess you go to LSU to

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    RE: Engineers this should be challenging - 11/18/2008 5:06:20 PM   
    Big_T


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    Which engineering are you?

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    RE: Engineers this should be challenging - 11/18/2008 5:12:43 PM   
    brute650i


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    Civil

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    RE: Engineers this should be challenging - 11/18/2008 9:25:18 PM   
    Big_T


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    PM sent

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    RE: Engineers this should be challenging - 11/18/2008 9:32:28 PM   
    brute650i


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    Thanks alot BIG_T

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    Post #: 22
    RE: Engineers this should be challenging - 11/19/2008 10:47:02 AM   
    brute650i


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    would it be safe to assume since heat transfer on the verticle sides is 0. and on the others it is well insulated (meaning little to no heat trasfer) then the overall heat transfer would be 0 also? or is this a completly wrong assumption

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    RE: Engineers this should be challenging - 11/19/2008 11:47:00 AM   
    Big_T


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    Ok, it's been 5 years since I've done this and I don't do a lot of hand HT calcs, especially using Fourier series so you'll have to bear with me for a moment.

    You'r just talking aout B) now, right?  Assuming you are:
    the heat transfer on the sides is not 0, the temperature on the sides is 0.

    A perfectly insulated edge should have a heat flux of 0, so if it were saying that the heat transfer is 0 on an edge, that's the same as saying it is perfectly insulated. 

    If we were dealing with transient solutions it would be difficult (as well as being a good enough reason to revolt against your professor) but since it's a steady state solution we are dealing with it's simply looking at what the final temperature would be.  There will be heat transfer across the vertical sides in a transient solutions but at steady state it will be a simple final solution because the plate will equalize. 

    A way to think of this is to say you've got a square steel plate and you heat it up to 300 degrees.  Then you take the steel plate out and put it in a frame which is lined on the horizontal sides with bricks (perfectly insulated) and on the vertical sides with a cooling edge at 0 degrees.  What's going to happen?  It's going to start cooling the sides quickly and you'll get temperature gradients throughout the plate.  Eventually the plate will even out at 0 degrees (though it will take awhile)

    Now, think of if one side was cooled at 0 degrees and the other side was 10 degrees.  You'd end up with temperature gradients (isotherms) throughout the plate. 

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    RE: Engineers this should be challenging - 11/19/2008 12:01:24 PM   
    Camo500EFI


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    Wow I actually thought your response was very interesting Tim.

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    RE: Engineers this should be challenging - 11/19/2008 2:23:57 PM   
    brute650i


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    ok that makes perfect sense, mind is overloaded at the moment and I confused myself while typing that out.

    it is only B that we are talking about so the final temperature should be 0? Thats the answer that i got when doing the hand calculations with fourier
    and should it be a linear relationship between the initial temp and the final?

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    RE: Engineers this should be challenging - 11/19/2008 2:42:19 PM   
    Big_T


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    linear as a function of what?  x?

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    RE: Engineers this should be challenging - 11/19/2008 5:21:20 PM   
    brute650i


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    not sure? i think thats where i was going with it

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    RE: Engineers this should be challenging - 11/19/2008 6:09:43 PM   
    camogrizz51


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    quote:

    ORIGINAL: brute650i

    Im a junior at Ole Miss but let me guess you go to LSU to


    Hoping on it, im going to southeastern right now its in hammond.  But LSU has my application for the spring 09 semester, and from what everyone is telling me i shouldnt have a problem getting in i have a 3.25 gp right now and LSU requires a 2.5, after this semseter is over my gpa should go up to a 3.5. So come January i will hopefully be a TIGER

    < Message edited by camogrizz51 -- 11/19/2008 6:11:41 PM >


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    RE: Engineers this should be challenging - 11/19/2008 6:12:12 PM   
    brute650i


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    I got accepted and almost went but the out of state tuition would have murdered me so I decided for Ole Miss instead

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