Numerical (Water)

A centrifugal pump having outer diameter equal to two times the inner diameter and running at 1200 r.p.m. works against a total head of 75 m. The velocity of flow through the impeller is constant and equal to 3 m/s. The vanes are set back at an angle of 30° at outlet. If the outer diameter of the impeller is 600 mm and width at outlet is 50 mm, determine : (a) vane angle at inlet, (b) work done per second by impeller, (c) manometric efficiency.

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Centrifugal Pump Performance Analysis Problem Statement A centrifugal pump having outer diameter equal to two times the inner diameter and […]

A centrifugal pump having outer diameter equal to two times the inner diameter and running at 1200 r.p.m. works against a total head of 75 m. The velocity of flow through the impeller is constant and equal to 3 m/s. The vanes are set back at an angle of 30° at outlet. If the outer diameter of the impeller is 600 mm and width at outlet is 50 mm, determine : (a) vane angle at inlet, (b) work done per second by impeller, (c) manometric efficiency. Read More »

The internal and external diameters of the impeller of a centrifugal pump are 300 mm and 600 mm respectively. The pump is running at 1000 r.p.m. The vane angles at inlet and outlet are 20° and 30° respectively. The water enters the impeller radially and velocity of flow is constant. Determine the work done by the impeller per unit weight of water.

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Centrifugal Pump Work Done Calculation Problem Statement The internal and external diameters of the impeller of a centrifugal pump are

The internal and external diameters of the impeller of a centrifugal pump are 300 mm and 600 mm respectively. The pump is running at 1000 r.p.m. The vane angles at inlet and outlet are 20° and 30° respectively. The water enters the impeller radially and velocity of flow is constant. Determine the work done by the impeller per unit weight of water. Read More »

Calculate the pressure at a height of 8000 m above sea-level if the atmospheric pressure is 101.3 kN/m² and temperature is 15°C at the sea-level assuming (i) air is incompressible, (ii) pressure variation follows adiabatic law, and (iii) pressure variation follows isothermal law. Take the density of air at the sea-level as equal to 1.285 kg/m³. Neglect variation of g with altitude.

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Atmospheric Pressure at Altitude (3 Models) Problem Statement Calculate the pressure at a height of 8000 m above sea-level if

Calculate the pressure at a height of 8000 m above sea-level if the atmospheric pressure is 101.3 kN/m² and temperature is 15°C at the sea-level assuming (i) air is incompressible, (ii) pressure variation follows adiabatic law, and (iii) pressure variation follows isothermal law. Take the density of air at the sea-level as equal to 1.285 kg/m³. Neglect variation of g with altitude. Read More »

If the atmospheric pressure at sea-level is 10.143 N/cm², determine the pressure at a height of 2000 m assuming that the pressure variation follows: (i) Hydrostatic law, and (ii) Isothermal law. The density of air is given as 1.208 kg/m³.

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Atmospheric Pressure Calculation at Altitude Problem Statement If the atmospheric pressure at sea-level is 10.143 N/cm², determine the pressure at

If the atmospheric pressure at sea-level is 10.143 N/cm², determine the pressure at a height of 2000 m assuming that the pressure variation follows: (i) Hydrostatic law, and (ii) Isothermal law. The density of air is given as 1.208 kg/m³. Read More »

An inverted differential manometer containing an oil of sp. gr. 0.9 is connected to find the difference of pressures at two points of a pipe containing water. If the manometer reading is 40 cm, find the difference of pressures.

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Inverted Differential Manometer Calculation Problem Statement An inverted differential manometer containing an oil of sp. gr. 0.9 is connected to

An inverted differential manometer containing an oil of sp. gr. 0.9 is connected to find the difference of pressures at two points of a pipe containing water. If the manometer reading is 40 cm, find the difference of pressures. Read More »

A U-tube differential manometer connects two pressure pipes A and B. Pipe A contains carbon tetrachloride having a specific gravity 1.594 under a pressure of 11.772 N/cm². Pipe B contains oil of sp. gr. 0.8 under a pressure of 11.772 N/cm². The pipe A lies 2.5 m above pipe B. Find the difference of pressure measured by mercury as fluid filling U-tube.

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U-Tube Manometer with Two Fluids Problem Statement A U-tube differential manometer connects two pressure pipes A and B. Pipe A

A U-tube differential manometer connects two pressure pipes A and B. Pipe A contains carbon tetrachloride having a specific gravity 1.594 under a pressure of 11.772 N/cm². Pipe B contains oil of sp. gr. 0.8 under a pressure of 11.772 N/cm². The pipe A lies 2.5 m above pipe B. Find the difference of pressure measured by mercury as fluid filling U-tube. Read More »

A pipe contains an oil of sp. gr. 0.8. A differential manometer connected at the two points A and B of the pipe shows a difference in mercury level as 20 cm. Find the difference of pressure at the two points.

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Differential Manometer Pressure Calculation Problem Statement A pipe contains an oil of sp. gr. 0.8. A differential manometer connected at

A pipe contains an oil of sp. gr. 0.8. A differential manometer connected at the two points A and B of the pipe shows a difference in mercury level as 20 cm. Find the difference of pressure at the two points. Read More »

A square plate of size 1 m x 1 m and weighing 350 N slides down an inclined plane with a uniform velocity of 1.5 m/s. The inclined plane is laid on a slope of 5 vertical to 12 horizontal and has an oil film of 1 mm thickness. Calculate the dynamic viscosity of oil.

A square plate of size 1 m x 1 m and weighing 350 N slides down an inclined plane with a uniform velocity of 1.5 m/s. The inclined plane is laid on a slope of 5 vertical to 12 horizontal and has an oil film of 1 mm thickness. Calculate the dynamic viscosity of oil.

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Dynamic Viscosity on an Inclined Plane Problem Statement A square plate of size 1 m x 1 m and weighing

A square plate of size 1 m x 1 m and weighing 350 N slides down an inclined plane with a uniform velocity of 1.5 m/s. The inclined plane is laid on a slope of 5 vertical to 12 horizontal and has an oil film of 1 mm thickness. Calculate the dynamic viscosity of oil. Read More »

Assuming that the bulk modulus of elasticity of water is 2.07 x 106 kN/m2 at standard atmospheric conditions, determine the increase of pressure necessary to produce a 1% reduction in volume at the same temperature

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Pressure Increase for Volume Reduction in Water Problem Statement Assuming that the bulk modulus of elasticity of water is \(2.07

Assuming that the bulk modulus of elasticity of water is 2.07 x 106 kN/m2 at standard atmospheric conditions, determine the increase of pressure necessary to produce a 1% reduction in volume at the same temperature Read More »

A shaft of diameter 100 mm is rotating inside a journal bearing of diameter 102 mm at a speed of 360 r.p.m. The space between the shaft and bearing is filled with a lubricating oil of viscosity 5 poise. The length of the bearing is 200 mm. Find the power absorbed in the lubricating oil.

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Power Absorbed in Lubricating Oil Problem Statement A shaft of diameter 100 mm is rotating inside a journal bearing of

A shaft of diameter 100 mm is rotating inside a journal bearing of diameter 102 mm at a speed of 360 r.p.m. The space between the shaft and bearing is filled with a lubricating oil of viscosity 5 poise. The length of the bearing is 200 mm. Find the power absorbed in the lubricating oil. Read More »

A 150 mm diameter vertical cylinder rotates concentrically inside another cylinder of diameter 151 mm. Both the cylinders are of 250 mm height. The space between the cylinders is filled with a liquid of viscosity 10 poise. Determine the torque required to rotate the inner cylinder at 100 r.p.m.

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Torque on a Rotating Cylinder Problem Statement A 150 mm diameter vertical cylinder rotates concentrically inside another cylinder of diameter

A 150 mm diameter vertical cylinder rotates concentrically inside another cylinder of diameter 151 mm. Both the cylinders are of 250 mm height. The space between the cylinders is filled with a liquid of viscosity 10 poise. Determine the torque required to rotate the inner cylinder at 100 r.p.m. Read More »

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