Question

5.3.1 Radiation Only ration and convection is either n If there is no imposed heat flux or gene or negligible rel ative to radiation, Equation 5.15 reduces to Separating variables and integrating from the initial condition to any time t, i ens.ro dt = Evaluating both integrals and rearranging, the time required to reach the temper becomes sur +T In nsur Tsur T + 21 tan-1-1-tan-1-_ This expression can be used to determina t sur

How can I integrate the first equation to obtain the last integrated equation? Please show all steps

Answer 1

Sydnelatel Viiasles to each Side -d丁 e ve (ナナTx

ㄒ 2T T, +Ts Re the tons Ts-Ti 2Ts (f4) dT T5 dT dT

Ts Ts ve get e ve Ts Ts Ts Hore Poved