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We present a two-dimensional non-stationary model for calculating heat transfer when spreading a liquid viscous drop on a heated substrate. Calculations on the process of fixed drops spreading on a substrate of simple geometry are performed. The hydrodynamic picture of the spreading process is obtained. The influence of the model parameters on the nature of spreading is studied. The temperature profiles of the droplet surface are obtained. The estimation of the time to establish a stationarydoi:10.1051/epjconf/20158201056 fatcat:pobxwhqqfvfqrgwqhjgf6na5qy