DYMAMICS OF FLUID FLOW

Problems

  1. A liquid of specific weight of flows by gravity from a tank of 0.3m length through a capillary tube of same length and 1mm diameter at a rate of . Neglecting entrance effects, compute the viscosity of the liquid.
  2. A viscous liquid of density and kinematic viscosity of flows at through a horizontal tube of 5mm diameter: (i) Determine the pressure drop per meter length of the tube; (ii) If a 2.5 mm diameter rod is placed in the 5 mm diameter tube to form a symmetric annulus, then calculate the pressure drop per meter length of the tube for same flow rate.
  3. A viscous oil flows through a 20mm diameter pipe with a maximum velocity of 2m/s. calculate the pressure drop over 50m length of the pipe.
  4. Lubricating oil with specific gravity of 0.85 and dynamic viscosity of 1.2kg/m.s is pumped at the rate of through a pipe of 300m-length and 20cm diameter. Calculate the pressure drop, average shear stress at the wall of the pipe and power required to maintain the flow: (i) if the pipe is horizontal, (ii) the pipe is incline at with horizontal for upward and downward flow. Also determine the slope of the pipe and direction of flow so that the pressure gradient along the pipe is zero.
  5. For laminar flow of an oil of dynamic viscosity 0.07kg/m.s in a 25cm diameter pipe, the velocity distribution is parabolic with maximum velocity of 2.8m/s at the center. Calculate the shear stress at the pipe wall and 5cm from the pipe wall.
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