Viscosity variation and velocity gradients in a non isothermal film, water is falling down a vertical wall

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Viscosity variation and velocity gradients in a non isothermal film, water is falling down a vertical wall in a film 0.1 mm thick. The water temperature is 100°C at the free liquid surface and 80°C at the wall surface. 

(a) Show that the maximum fractional deviation between viscosities predicted by Eqs. 11.4-17 and 18 occurs when T = √T0Tδ

(b) Calculate the maximum fractional deviation for the conditions given.

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