Design a multi-plate wet clutch considering thermal limitations.

Heat generated per engagement Q = 0.5.I.omega^2 where I is inertia, omega is angular velocity difference. Temperature rise delta_T = Q/(m.c) where m is effective mass, c is specific heat. Limit delta_T to 10-15C per engagement. Energy capacity per unit area E'' = Q/(n.pi.(ro^2-ri^2)) should be less than 0.3-0.5 MJ/m^2 for wet clutches. Number of friction surfaces n = 2.T/(mu.p_mean.pi.(ro^2-ri^2).rm) where rm is mean radius. Allow 60-70% engagement time for heat dissipation. Oil flow rate for continuous slip: Q_oil = P_heat/(rho.c.delta_T_oil). Material: sintered bronze or paper-based friction.