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A fin at constant temperature is designed to dissipate heat by convection (see below). Parallel flow is incident on the leading edge of the fin such that a boundary layer forms and convection heat transfer occurs. The fin is a flat plate with uniform surface area. All properties of the fluid and temperatures in the system are provided below the drawing. Fluid properties v=75106m2/sk=0.05W/mKPr=1T=130CU=50m/s It is discovered that the fin dissipates more heat than is needed. The fin is to be manufactured with an expensive material and so should be a precise length. What new fin length, L, will dissipate 50% of the total heat that the fin dissipates with length L=1m (as in the diagram). Assume heat transfer only from the top surface