Numerical (Water)

If the resistance to motion of a sphere through a fluid (R) is a function of the density (ρ), viscosity (µ) of the fluid, and the radius (r) and velocity (u) of the sphere, develop a relationship of R using Buckingham’s π theorem.

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Fluid Mechanics Problem Solution Problem Statement If the resistance to motion of a sphere through a fluid (R) is a […]

If the resistance to motion of a sphere through a fluid (R) is a function of the density (ρ), viscosity (µ) of the fluid, and the radius (r) and velocity (u) of the sphere, develop a relationship of R using Buckingham’s π theorem. Read More »

Power input to a propeller (P) is expressed in terms of density of air (ρ), diameter (D), velocity of the air stream (V), rotational speed (ω), viscosity (µ) and speed of sound (C). Show that P=cρω^3 D^5 where c = constant. Use Rayleigh’s method.

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Fluid Mechanics Problem Solution Problem Statement Power input to a propeller (P) is expressed in terms of density of air

Power input to a propeller (P) is expressed in terms of density of air (ρ), diameter (D), velocity of the air stream (V), rotational speed (ω), viscosity (µ) and speed of sound (C). Show that P=cρω^3 D^5 where c = constant. Use Rayleigh’s method. Read More »

Assuming the drag force exerted by a flowing fluid (F) is a function of the density (ρ), viscosity (µ), velocity of fluid (V) and a characteristics length of body (L), show by using Rayleigh’s method that F=CρA V2/2 where A is area and C is constant.

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Fluid Mechanics Problem Solution Problem Statement Assuming the drag force exerted by a flowing fluid (F) is a function of

Assuming the drag force exerted by a flowing fluid (F) is a function of the density (ρ), viscosity (µ), velocity of fluid (V) and a characteristics length of body (L), show by using Rayleigh’s method that F=CρA V2/2 where A is area and C is constant. Read More »

Using Rayleigh’s method, derive an expression for flow through orifice (Q) in terms of density of liquid (ρ), diameter of the orifice (D) and the pressure difference (P).

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Fluid Mechanics Problem Solution Problem Statement Using Rayleigh’s method, derive an expression for flow through orifice (Q) in terms of

Using Rayleigh’s method, derive an expression for flow through orifice (Q) in terms of density of liquid (ρ), diameter of the orifice (D) and the pressure difference (P). Read More »

A kite, which may be assumed to be a flat plate and mass 1kg, soars at an angle to the horizontal. The tension in the string holding the kite is 60N when the wind velocity is 50 km/h horizontally and the angle of string to the horizontal direction is 35°. The density of air is 1.2 kg/m³. Calculate the drag coefficient for the kite in the given position if the lift coefficient in the same position is 0.45. Both coefficients have been based on the full area of the kite.

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Fluid Mechanics Problem Solution Problem Statement A kite, which may be assumed to be a flat plate and mass 1kg,

A kite, which may be assumed to be a flat plate and mass 1kg, soars at an angle to the horizontal. The tension in the string holding the kite is 60N when the wind velocity is 50 km/h horizontally and the angle of string to the horizontal direction is 35°. The density of air is 1.2 kg/m³. Calculate the drag coefficient for the kite in the given position if the lift coefficient in the same position is 0.45. Both coefficients have been based on the full area of the kite. Read More »

Determine the rate of deceleration that will be experienced by a blunt nosed projectile of drag coefficient 1.22 when it is moving horizontally at 1600 km/hr. The projectile has a diameter of 0.5m and weighs 3000N.

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Fluid Mechanics Problem Solution Problem Statement Determine the rate of deceleration that will be experienced by a blunt nosed projectile

Determine the rate of deceleration that will be experienced by a blunt nosed projectile of drag coefficient 1.22 when it is moving horizontally at 1600 km/hr. The projectile has a diameter of 0.5m and weighs 3000N. Read More »

A 10mm ball of relative density 1.2 is suspended from a string, in air flowing at a velocity of 10m/s. Determine the angle which the string will make with the vertical. Take ρ of air = 1.208 kg/m3 and viscosity of air = 1.85×10-5 Pa-s. Also compute the tension in the string.

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Fluid Mechanics Problem Solution Problem Statement A 10mm ball of relative density 1.2 is suspended from a string, in air

A 10mm ball of relative density 1.2 is suspended from a string, in air flowing at a velocity of 10m/s. Determine the angle which the string will make with the vertical. Take ρ of air = 1.208 kg/m3 and viscosity of air = 1.85×10-5 Pa-s. Also compute the tension in the string. Read More »

A jet plane which weighs 19620N has a wing area of 25m2. It is flying at a speed of 200km/hr. When the engine develops 588.6KW, 70% of this power is used to overcome the drag resistance of the wing. Calculate the coefficient of lift and coefficient of drag for the wing.

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Fluid Mechanics Problem Solution Problem Statement A jet plane which weighs 19620N has a wing area of 25m2. It is

A jet plane which weighs 19620N has a wing area of 25m2. It is flying at a speed of 200km/hr. When the engine develops 588.6KW, 70% of this power is used to overcome the drag resistance of the wing. Calculate the coefficient of lift and coefficient of drag for the wing. Read More »

A metallic ball of diameter 5mm drops in a fluid of sp.gr. 0.8 and viscosity 30 poise. The sp.gr. of metallic ball is 9.0. Find (a) the force exerted by the fluid on the ball, (b) the pressure drag and skin friction drag, and (c) the terminal velocity of the ball in the fluid.

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Fluid Mechanics Problem Solution Problem Statement A metallic ball of diameter 5mm drops in a fluid of sp.gr. 0.8 and

A metallic ball of diameter 5mm drops in a fluid of sp.gr. 0.8 and viscosity 30 poise. The sp.gr. of metallic ball is 9.0. Find (a) the force exerted by the fluid on the ball, (b) the pressure drag and skin friction drag, and (c) the terminal velocity of the ball in the fluid. Read More »

A metallic ball of diameter 5mm drops in a fluid of sp.gr. 0.8 and viscosity 30 poise. The sp.gr. of metallic ball is 9.0. Find (a) the force exerted by the fluid on the ball, (b) the pressure drag and skin friction drag, and (c) the terminal velocity of the ball in the fluid.

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Fluid Mechanics Problem Solution Problem Statement A metallic ball of diameter 5mm drops in a fluid of sp.gr. 0.8 and

A metallic ball of diameter 5mm drops in a fluid of sp.gr. 0.8 and viscosity 30 poise. The sp.gr. of metallic ball is 9.0. Find (a) the force exerted by the fluid on the ball, (b) the pressure drag and skin friction drag, and (c) the terminal velocity of the ball in the fluid. Read More »

A metallic sphere of sp.gr. 8.0 falls in an oil of density 800 kg/m³. The diameter of the sphere is 10mm and it attains a terminal velocity of 50mm/s. Find the viscosity of the oil in Poise.

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Fluid Mechanics Problem Solution Problem Statement A metallic sphere of sp.gr. 8.0 falls in an oil of density 800 kg/m³.

A metallic sphere of sp.gr. 8.0 falls in an oil of density 800 kg/m³. The diameter of the sphere is 10mm and it attains a terminal velocity of 50mm/s. Find the viscosity of the oil in Poise. Read More »

Calculate the weight of a ball of diameter 50mm which is just supported in a vertical air stream which is flowing at a velocity of 10 m/s. Take density of air = 1.25kg/m³ and kinematic viscosity = 15 stokes.

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Fluid Mechanics Problem Solution Problem Statement Calculate the weight of a ball of diameter 50mm which is just supported in

Calculate the weight of a ball of diameter 50mm which is just supported in a vertical air stream which is flowing at a velocity of 10 m/s. Take density of air = 1.25kg/m³ and kinematic viscosity = 15 stokes. Read More »

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