QUESTION $135$ points

A library building is heated at an indoot air temperature, $t_a$ of $22C,$ and a mean radiant temperature, $t_{mr}$ of $18C.$ Air velocity, $v$ is $0\mathrm{.}3\frac{m}{sec}.$ About this heating system, determine and discuss the following:

a$-5$ points. What is the average operative temperature, $OT?$

b$-5$ points. If the operative temperature is given by the following equation calculate $OT$ again

$OT=\frac{(t_{mr}+t_a\sqrt[\phantom{2}]{10v})}{1+\sqrt[\phantom{2}]{10v}}$

c$-5$ points. Compare both values, what is the difference?

d$-5$ points. If both values are equal what is the air velocity? $($solve from above equation$)$

e$-10$ points. What is the convective to radiant heat transfer ratio, $\frac{q_c}{q_r}?$

f$-5$ points. Does this system satisfy the subjective human comfort requirement