12.5.1 Heat-Removed Term, R(T)

Vary Entering Temperature

From Equation (12-30) we see that R(T) increases linearly with temperature, with slope C_P0(1 + κ) and intercept T_c. As the entering temperature T₀ is increased, the line retains the same slope but shifts to the right as the intercept T_c increases, as shown in Figure 12-7.

Figure 12-7. Variation of heat removed line with inlet temperature.

Vary Non-adiabatic Parameter κ

If one increases κ by either decreasing the molar flow rate F_A0 or increasing the heat-exchange area, A, the slope increases and for the case of T_a < T₀ the ordinate intercept moves to the left, as shown in Figure 12-8:

Figure 12-8. Variation of heat removal line with κ (κ = UA/C_p0F_A0).

On the other hand, if T_a > T₀, the intercept will move to the right as κ increases.