A belt of width W moves at a velocity V as shown in figure. A very...

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A belt of width W moves at a velocity V as shown in figure. A very viscous liquid fills the gap b between the belt and a stationary plate. Assume steady, fully- developed laminar flow between the belt and the plate, and do not neglect the effect of gravity. For this system: (a) State the boundary conditions to solve the problem. (b) Derive the expression for velocity profile in the liquid (c) Derive the expression for volumetric flow rate of the liquid. (d) If u = 0.1 Pas, p=103 kg/m³, b = 1 cm, 0 = 45°, determine the velocity (in m/s) of the belt above which there is a net volumetric flow rate in the direction of the belt motion. + moving g belt liquid V stationary plate 07 Ꮎ x b A belt of width W moves at a velocity V as shown in figure. A very viscous liquid fills the gap b between the belt and a stationary plate. Assume steady, fully- developed laminar flow between the belt and the plate, and do not neglect the effect of gravity. For this system: (a) State the boundary conditions to solve the problem. (b) Derive the expression for velocity profile in the liquid (c) Derive the expression for volumetric flow rate of the liquid. (d) If u = 0.1 Pas, p=103 kg/m³, b = 1 cm, 0 = 45°, determine the velocity (in m/s) of the belt above which there is a net volumetric flow rate in the direction of the belt motion. + moving g belt liquid V stationary plate 07 Ꮎ x b