The inﬂuences of the thermocapillarity, thermal radiation and heat generation/absorption on an unsteady laminar ﬂow of a MHD variable ﬂuid proper ties thin liquid ﬁlm over an unsteady
stretching surface are analyzed. Two cases are studied, namely
(i) the sheet with prescribed surface temperature (PST case ) and
(ii) the sheet with prescribed wall heat ﬂux (PHF case). The
reduced system of ordinary differential equations with the boundary conditions is solved numerically using the fourth order
Runge-Kutta algorithm scheme with the shooting technique. The effects of various parameters on the local skin-friction coefﬁcient, the local Nusselt and the dimensionless ﬁlm thickness are given in
graphics form and discussed. The results show that the local skin-friction coefﬁcient increases with increasing the magnetic, variable viscosity, heat generation parameters for two PST and PHF cases.