The viscosity of the slag is related to the existence of "network-forming" anions. Silica (SiO2) is a typical example of an oxide leading to the network-forming anions (SiO4)-2
Al2O3 shows both network-forming and network-breaking behavior, depending on the basicity of the slag.
I suggest to search for papers on the viscosity of the SiO2-Al2O3-CaO (or MgO) system to get a picture of the key physico-chemical trends.
The liquidus temperature can be found in the ternary phase diagrams concerning the CaO-Al2O3-SiO2 system. The temperature depends on the composition of the slag in this ternary system. Consult the relevant literature on this system for details.
Please see the reference "Southern African Pyrometallurgy 2011, Edited by R.T. Jones & P. den Hoed - Blast Furnace Control using Slag Viscosities and Liquidus Temperatures with Phase Equilibria Calculations".