House

markmark
in Problems

I've got a house that looks something like the one below. In the morning, the house is at temperature zero throughout. The bottom is held at temperature zero throughout the day but, at time zero, the roof starts to warm; let's say that it is held at temperature 1. All other sides are insulated. Model the conduction of heat throughout the house. Show a picture at time $t=0.5$ and find the approximate temperature just above the door.

house.png


Comments

  • AbSAbS
    image.png

    The temperature just above the door, u(0.15223,-0.54970) = .08239

  • ZachZach
    edited February 2021
    Warming House.png

    Here's the photo of my house at t=0.6, the temperature just above the door is 0.37670. I had set the diffusivity constant equal to 1.

    mark
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