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Math Help - Insulated Plate

  1. #1
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    Insulated Plate

    Here.
    Attached Thumbnails Attached Thumbnails Insulated Plate-picture2.gif  
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by ThePerfectHacker View Post
    Here.
    The heat flow in direction a (a unit vector) is proportional to (grad u).a. At a
    perfectly insulated boundary there is no heat flow accross the boundary, so
    if a is a unit normal to the boundary (grad u).a = 0.

    Now if you apply this to the case in hand you should get the result quoted.

    RonL
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  3. #3
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    Quote Originally Posted by CaptainBlack View Post
    The heat flow in direction a (a unit vector) is proportional to (grad u).a. At a
    perfectly insulated boundary there is no heat flow accross the boundary, so
    if a is a unit normal to the boundary (grad u).a = 0.

    Now if you apply this to the case in hand you should get the result quoted.

    RonL
    Thus, it means that there is no heat flow?
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by ThePerfectHacker View Post
    Thus, it means that there is no heat flow?
    Exactly, you would think that they would just say so wouldn't you?

    RonL
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