$$q = -k \fracdTdx$$
Heat flux = 2000.00 W/m^2 T(0.1 m) = 733.33 K $$q = -k \fracdTdx$$ Heat flux = 2000
% Cooling curve t_span = linspace(0, 500, 200); T_t = T_inf + (T_i - T_inf)*exp(-t_span/tau); plot(t_span, T_t, 'r-'); xlabel('Time (s)'); ylabel('Temperature (°C)'); title('Lumped capacitance cooling of copper sphere'); grid on; hold on; plot(t, T_target, 'bo', 'MarkerSize', 10, 'LineWidth', 2); legend('Cooling curve', 'Target temperature'); : Over 60 MATLAB programs that correspond to
| Lesson | Key MATLAB Skill | Real Application | |--------|------------------|------------------| | 1D Conduction | Linear algebraic plotting | Building insulation | | Transient | Exponential decay fitting | Heat treating metals | | Convection | Empirical correlation | Heat exchanger design | | Radiation | Non-linear equation | Spacecraft thermal control | Find heat flux and temperature at x = 0
Two large parallel plates at 800 K and 500 K. Emissivities: 0.7 and 0.9. Find net radiation heat flux.
: Over 60 MATLAB programs that correspond to textbook exercises and problems. Interactive Apps : Tools to simulate transient heat conduction
A firebrick wall (k = 1.2 W/m·K) is 0.3 m thick. Inner face T1 = 900 K, outer face T2 = 400 K. Find heat flux and temperature at x = 0.1 m.