Find the steady-state temperature u(r, z) in the cylinder in the figure if the lateral side is kept at temperature 20 and the top z = 4 and base z = 0 are insulated.
Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
Find the steady-state temperature
in the cylinder in the figure if the lateral side is kept at temperature 20 and the top
and base
are insulated.
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