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Sebuah tiang konkrit yang mempunyai keratan rentas berukuran 0.4m0.4m dan berketinggian 1m di sudut sebuah tanur, terdedah kepada haba yang tidak sekata di kesemua empat

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Sebuah tiang konkrit yang mempunyai keratan rentas berukuran 0.4m0.4m dan berketinggian 1m di sudut sebuah tanur, terdedah kepada haba yang tidak sekata di kesemua empat sisi, dengan bahagian yang tinggi lebih berdekatan dengan sumber haba. Pada keadaan malar, suhu permukaan pada setiap sisi adalah seperti imej keratan rentas dibawah: A concrete pillar measuring 0.4m0.4m in cross section and 1m tall at a corner of a kiln is exposed to uneven heat on all four sides, with the higher temperature being closer to the heat source. At steady-state, the surface temperature at each side is given in the cross-section image below: Dengan resolusi 0.1m di kedua-dua arah x dan y, kirakan pengagihan suhu dalaman tiang berdasarkan nod label di atas. Tunjukkan dengan jelas persamaan perbezaan finit dan matriks yang anda gunakan untuk pengiraan. Nota: Disebabkan kekangan masa, matriks songsang tidak perlu disalin. With a resolution of 0.1m in both x - and y-direction, compute the internal temperature distribution of the pillar according to the labelled nodes above. Show clearly the finite difference equations and matrices that you set up for computation. Note: Due to time constraint, there is no need to copy the inverse matrix. (20 markah/marks)

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