Numerical (Water)

The velocity distribution for flow over a flat plate is given by u =3/4 y – y2 in which u is the velocity in metre per second at a distance y metre above the plate. Determine the shear stress at y = 0.15 m. Take dynamic viscosity of fluid as 8.6 poise.

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Shear Stress Analysis Problem Statement The velocity distribution for flow over a flat plate is given by ( u = […]

The velocity distribution for flow over a flat plate is given by u =3/4 y – y2 in which u is the velocity in metre per second at a distance y metre above the plate. Determine the shear stress at y = 0.15 m. Take dynamic viscosity of fluid as 8.6 poise. Read More »

Find the kinematic viscosity of an oil having density 981 kg/m³. The shear stress at a point in oil is 0.2452 N/m² and velocity gradient at that point is 0.2 per second.

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Oil Viscosity Analysis Problem Statement Find the kinematic viscosity of an oil having density 981 kg/m³. The shear stress at

Find the kinematic viscosity of an oil having density 981 kg/m³. The shear stress at a point in oil is 0.2452 N/m² and velocity gradient at that point is 0.2 per second. Read More »

The space between two square flat parallel plates is filled with oil. Each side of the plate is 60 cm. The thickness of the oil film is 12.5 mm. The upper plate, which moves at 2.5 metre per sec requires a force of 98.1 N to maintain the speed.

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Parallel Plate Viscosity Analysis Problem Statement The space between two square flat parallel plates is filled with oil. Each side

The space between two square flat parallel plates is filled with oil. Each side of the plate is 60 cm. The thickness of the oil film is 12.5 mm. The upper plate, which moves at 2.5 metre per sec requires a force of 98.1 N to maintain the speed. Read More »

The pressure drop in an aeroplane model of size 1/50 of its prototype is 4 N/cm². The model is tested in water. Find the corresponding pressure drop in prototype. Take density of air = 1.24 kg/m³. The viscosity of water is 0.01 poise while the viscosity of air is 0.00018 poise.

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Fluid Mechanics Problem Solution Problem Statement The pressure drop in an aeroplane model of size 1/50 of its prototype is

The pressure drop in an aeroplane model of size 1/50 of its prototype is 4 N/cm². The model is tested in water. Find the corresponding pressure drop in prototype. Take density of air = 1.24 kg/m³. The viscosity of water is 0.01 poise while the viscosity of air is 0.00018 poise. Read More »

A spillway model is to be built geometrically similar scale of 1/40 across a flume of 50cm width. The prototype is 20m high and the maximum head on it is expected to be 2m. (a) What height of the model and what head on the model should be used? (b) If the flow over the model at a particular head is 10 lps, what flow per m length of the prototype is expected? (c) If the negative pressure in the model is 150mm, what is the negative pressure in the prototype?

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Fluid Mechanics Problem Solution Problem Statement A spillway model is to be built geometrically similar scale of 1/40 across a

A spillway model is to be built geometrically similar scale of 1/40 across a flume of 50cm width. The prototype is 20m high and the maximum head on it is expected to be 2m. (a) What height of the model and what head on the model should be used? (b) If the flow over the model at a particular head is 10 lps, what flow per m length of the prototype is expected? (c) If the negative pressure in the model is 150mm, what is the negative pressure in the prototype? Read More »

A ship 250m long moves in seawater, whose density is 1030 kg/m³. A 1:125 model of this ship is to be tested in wind tunnel. The velocity of air in the wind tunnel around the model is 20m/s and the resistance of the ship is 50N. Determine the velocity and resistance of the ship in seawater.

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Fluid Mechanics Problem Solution Problem Statement A ship 250m long moves in seawater, whose density is 1030 kg/m³. A 1:125

A ship 250m long moves in seawater, whose density is 1030 kg/m³. A 1:125 model of this ship is to be tested in wind tunnel. The velocity of air in the wind tunnel around the model is 20m/s and the resistance of the ship is 50N. Determine the velocity and resistance of the ship in seawater. Read More »

A pipe of diameter 1.8m is required to transport oil of sp.gr. 0.8 and viscosity 0.04 poise at the rate of 4 m³/s. Tests were conducted on a 20cm diameter pipe using water at 20°C. Find the velocity and rate of flow in the model.

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Fluid Mechanics Problem Solution Problem Statement A pipe of diameter 1.8m is required to transport oil of sp.gr. 0.8 and

A pipe of diameter 1.8m is required to transport oil of sp.gr. 0.8 and viscosity 0.04 poise at the rate of 4 m³/s. Tests were conducted on a 20cm diameter pipe using water at 20°C. Find the velocity and rate of flow in the model. Read More »

Show by dimensional analysis that the power P required to operate a test tunnel is given by P=ρL²V³ϕ(μ/ρLV) where ρ is density of fluid, μ is viscosity, V is fluid mean velocity, P is the power required and L is the characteristics tunnel length.

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Fluid Mechanics Problem Solution Problem Statement Show by dimensional analysis that the power P required to operate a test tunnel

Show by dimensional analysis that the power P required to operate a test tunnel is given by P=ρL²V³ϕ(μ/ρLV) where ρ is density of fluid, μ is viscosity, V is fluid mean velocity, P is the power required and L is the characteristics tunnel length. Read More »

The pressure difference (∆P) in a pipe of diameter (D) and length (L) due to viscous flow depends on the velocity of fluid (V), viscosity (µ) and density (ρ). Using Buckingham’s π theorem, show that ∆P=(µVL)/D² · f(Re) where Re=ρDV/μ is Reynold’s number.

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Fluid Mechanics Problem Solution Problem Statement The pressure difference (∆P) in a pipe of diameter (D) and length (L) due

The pressure difference (∆P) in a pipe of diameter (D) and length (L) due to viscous flow depends on the velocity of fluid (V), viscosity (µ) and density (ρ). Using Buckingham’s π theorem, show that ∆P=(µVL)/D² · f(Re) where Re=ρDV/μ is Reynold’s number. Read More »

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