Numerical (Water)

A cylinder of 0.9 m³ in volume contains air at 0°C and 39.24 N/cm² absolute pressure. The air is compressed to 0.45 m³. Find (i) the pressure inside the cylinder assuming an isothermal process, and (ii) the pressure and temperature assuming an adiabatic process.

Isothermal and Adiabatic Compression Problem Statement A cylinder of 0.9 m³ in volume contains air at 0°C and 39.24 N/cm²

A cylinder of 0.9 m³ in volume contains air at 0°C and 39.24 N/cm² absolute pressure. The air is compressed to 0.45 m³. Find (i) the pressure inside the cylinder assuming an isothermal process, and (ii) the pressure and temperature assuming an adiabatic process. Read More »

The velocity profile of a viscous fluid over a plate is parabolic with its vertex 20 cm from the plate, where the velocity is 120 cm/s. Calculate the velocity gradient and shear stress at distances of 0, 5, and 15 cm from the plate, given the viscosity of the fluid is 6 poise.

Shear Stress in Parabolic Flow Problem Statement The velocity profile of a viscous fluid over a plate is parabolic with

The velocity profile of a viscous fluid over a plate is parabolic with its vertex 20 cm from the plate, where the velocity is 120 cm/s. Calculate the velocity gradient and shear stress at distances of 0, 5, and 15 cm from the plate, given the viscosity of the fluid is 6 poise. Read More »

The velocity distribution over a plate is given by y =2/3y-y2 , in which u is the velocity in m/s at a distance of y m above the plate. Determine the shear stress at y = 0, 0.1, and 0.2 m. Also, find the distance in metres above the plate at which the shear stress is zero. Take µ = 6 poise.

Shear Stress from Velocity Profile Problem Statement The velocity distribution over a plate is given by the equation (u =

The velocity distribution over a plate is given by y =2/3y-y2 , in which u is the velocity in m/s at a distance of y m above the plate. Determine the shear stress at y = 0, 0.1, and 0.2 m. Also, find the distance in metres above the plate at which the shear stress is zero. Take µ = 6 poise. Read More »

An oil of viscosity 5 poise is used for lubrication between a shaft and sleeve. The diameter of the shaft is 0.5 m and it rotates at 200 r.p.m. Calculate the power lost in the oil for a sleeve length of 100 mm. The thickness of the oil film is 1.0 mm.

Power Loss in Lubrication Problem Statement An oil of viscosity 5 poise is used for lubrication between a shaft and

An oil of viscosity 5 poise is used for lubrication between a shaft and sleeve. The diameter of the shaft is 0.5 m and it rotates at 200 r.p.m. Calculate the power lost in the oil for a sleeve length of 100 mm. The thickness of the oil film is 1.0 mm. Read More »

If the velocity distribution of a fluid over a plate is given by u = (3/4) y-y2, where u is the velocity in metre per second at a distance of y metres above the plate, determine the shear stress at y = 0.15 metre.

Shear Stress from Velocity Profile Problem Statement If the velocity distribution of a fluid over a plate is given by

If the velocity distribution of a fluid over a plate is given by u = (3/4) y-y2, where u is the velocity in metre per second at a distance of y metres above the plate, determine the shear stress at y = 0.15 metre. Read More »

Find the kinematic viscosity of an oil having a density of 980 kg/m³ when at a certain point in the oil, the shear stress is 0.25 N/m² and the velocity gradient is 0.3 s⁻¹.

Kinematic Viscosity Calculation Problem Statement Find the kinematic viscosity of an oil having a density of 980 kg/m³ when at

Find the kinematic viscosity of an oil having a density of 980 kg/m³ when at a certain point in the oil, the shear stress is 0.25 N/m² and the velocity gradient is 0.3 s⁻¹. Read More »

In a stream of glycerine in motion, at a certain point the velocity gradient is 0.25 metre per sec per metre. The mass density of the fluid is 1268.4 kg per cubic metre and kinematic viscosity is 6.30 x 10⁻⁴ square metre per second. Calculate the shear stress at the point.

Shear Stress in Glycerine Problem Statement In a stream of glycerine in motion, at a certain point the velocity gradient

In a stream of glycerine in motion, at a certain point the velocity gradient is 0.25 metre per sec per metre. The mass density of the fluid is 1268.4 kg per cubic metre and kinematic viscosity is 6.30 x 10⁻⁴ square metre per second. Calculate the shear stress at the point. Read More »

An oil film of thickness 1.5 mm is used for lubrication between a square plate of size 0.9 m × 0.9 m and an inclined plane having an angle of inclination 20°. The weight of the square plate is 392.4 N and it slides down the plane with a uniform velocity of 0.2 m/s. Find the dynamic viscosity of the oil.

Dynamic Viscosity on an Inclined Plane Problem Statement An oil film of thickness 1.5 mm is used for lubrication between

An oil film of thickness 1.5 mm is used for lubrication between a square plate of size 0.9 m × 0.9 m and an inclined plane having an angle of inclination 20°. The weight of the square plate is 392.4 N and it slides down the plane with a uniform velocity of 0.2 m/s. Find the dynamic viscosity of the oil. Read More »

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