The scaling laws of the radiation temperature with shock wave velocity in Al were simulated and investigated with one-dimensional radiation hydrodynamic program Hyades. The simulation results indicated that the formula Tr=0.0126D0.63 could be valid for the radiation temperature generated by the shaped pulse of lasers such as PS22 and PS26 profile on Nova facilities and Shenguang Ⅲ Prototype （SGⅢ Prot）, but was not suited for the radiation temperature by laser pulse with the Gaussian and trapezoid profiles, for which the scaling should be given by the modified formula，which well agrees with similarity solution. Additionally, the minimum thickness sustaining stable shock wave velocity driven by the radiation temperature with the shaped profile on SGⅢ Prot was also obtained by using the Hyades code. Finally, The experiments of shock wave driven radiation were made on Shenguang Ⅱ laser facilities. The radiation temperature Tr calculated from the modified scaling relation well agreed with the Tr measured by the soft X-ray spectrometer. The experimental results also showed the reliability of the modified formula.