The steady state heat conduction over a thin plate is governed by the partial diffe equation: ôx² ' ôy² a) Obtain the temperature distribution for the given boundary conditions in figure using finite difference approximation and a 3x3 grid. T and at the plate mid-point us ôy b) Calculate the temperature gradients ôx an appropriate numerical differentiation approximation. Hint: -k=0 for the insula ôi T=10 °C edges where i is the direction normal to the edge. 1m Insulated Insulated T=100 °C 1m-

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: