Solve Example $11\mathrm{.}6$ using Rajagopalan and Tien model

Use the TE model to examine the effect of media diameter $($ranging from $0\mathrm{.}4$ to $2$ mm in diameter$)$ on the removal of $0\mathrm{.}1-m$ particles in a filter bed of monodisperse media under the following conditions: porosity $=0\mathrm{.}50,$ attachment efficiency $=1\mathrm{.}0,$ temperature $T=20C(293\mathrm{.}15$ K$),$ particle density ${}_p=1050k\frac{g}{m^3},$ filtration rate $v=15\frac{m}{h},$ bed depth $L=1\mathrm{.}0m,$ Hamaker constant $Ha={10}^{-20}J({10}^{-20}(kg)*\frac{m^2}{s^2}),$ and Boltzmann constant $k_B=1\mathrm{.}381{10}^{-23}\frac{J}{K}(1\mathrm{.}381{10}^{-23}(kg)*\frac{m^2}{s^2}*(K)).$