A flaked cereal is of thickness $2L=1\mathrm{.}2mm.$ The density, specific heat, and thermal conductivity of the flake are $=700k\frac{g}{m^3},c_p=2400\frac{J}{k}g*K,$ and $k=0\mathrm{.}34\frac{W}{m}*K,$ respectively. The product is to be baked by increasing its temperature from $T_i=49C$ to $T_f=210C$ in a convection oven, through which the product is carried on a conveyor. If the oven is $L_o=3m$ long and the convection heat transfer coefficient at the product surface and oven air temperature are $h=55\frac{W}{m^2}*K$ and $T_{\text{i}\text{n}\text{f}}=300C,$ respectively, determine the required conveyor velocity, $V.$ An engineer suggests that if the flake thickness is reduced to $2L=1\mathrm{.}0mm$ the conveyor velocity can be increased, resulting in higher productivity. Determine the required conveyor velocity for the thinner flake.

The required conveyor velocity for thickness $=1\mathrm{.}2mm\frac{m}{s}.$

The required conveyor velocity for the thinner flake $\frac{m}{s}.$

Physical Properties Mathematical Functions