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Water is being drained from the bottom of a tank with a horizontal pipe L metres long fitted with a valve, when the valve

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Water is being drained from the bottom of a tank with a horizontal pipe L metres long fitted with a valve, when the valve is suddenly opened the flow is unsteady as the level in the tank is continuously changing, show that t= k Umax In Umax+u Umax-u Where Umax initial velocity at the opening of valve k = a factor due to friction and minor losses in the pipe u= velocity after time t

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