24. Consider a quadrilateral element shown in the figure below. The nodal temperatures of the ele¬

ment are given as {jTi , Ti, Ts, T^} = {80, 40, 40, 80}.

(a) Compute the expression of the temperature T along the line £ that connects Nodes 3 and 1.

For example, T = 3 + 5£ + 3£2 + • • ¦. You can assume that £ = 0 at Node 3 and £ = 1 at Node 1. Plot the graph of T(t;) with respect to

(b) Compute the temperature gradient dT/dx at the center of the element.