Boundary layer theory

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 »

A kite weighs 0.9N and has an area of 7400 cm2. The tension in the kite string is 3.3 N when the string makes an angle of 450 with the horizontal. For a wind of 30km/hr, what are the coefficients of lift and drag if the kite assumes an angle of 80 with the horizontal? Consider the kite essentially a flat plate and density of air = 1.2kg/m3.

A kite weighs 0.9N and has an area of 7400 cm². The tension in the kite string is 3.3 N when the string makes an angle of 45° with the horizontal. For a wind of 30km/hr, what are the coefficients of lift and drag if the kite assumes an angle of 8° with the horizontal? Consider the kite essentially a flat plate and density of air = 1.2kg/m³.

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Fluid Mechanics Problem Solution Problem Statement A kite weighs 0.9N and has an area of 7400 cm². The tension in

A kite weighs 0.9N and has an area of 7400 cm². The tension in the kite string is 3.3 N when the string makes an angle of 45° with the horizontal. For a wind of 30km/hr, what are the coefficients of lift and drag if the kite assumes an angle of 8° with the horizontal? Consider the kite essentially a flat plate and density of air = 1.2kg/m³. Read More »

A flat plate 2m×2m moves at 40km/hr in stationary air of density 1.25kg/m³. If the coefficient of drag and lift are 0.2 and 0.8 respectively, find the lift force, the drag force, the resultant force and the power required to keep the plate in motion.

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Fluid Mechanics Problem Solution Problem Statement A flat plate 2m×2m moves at 40km/hr in stationary air of density 1.25kg/m³. If

A flat plate 2m×2m moves at 40km/hr in stationary air of density 1.25kg/m³. If the coefficient of drag and lift are 0.2 and 0.8 respectively, find the lift force, the drag force, the resultant force and the power required to keep the plate in motion. Read More »

For the velocity profile given below, compute the displacement thickness and momentum thickness: u/U=3/2 (y/δ)-1/2 (y/δ)^2 Where U = free stream velocity, u = velocity in boundary layer at a distance y and δ= boundary layer thickness.

For the velocity profile given below, compute the displacement thickness and momentum thickness: u/U = 3/2 (y/δ) – 1/2 (y/δ)² Where U = free stream velocity, u = velocity in boundary layer at a distance y and δ = boundary layer thickness.

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Fluid Mechanics Problem Solution Problem Statement For the velocity profile given below, compute the displacement thickness and momentum thickness: u/U

For the velocity profile given below, compute the displacement thickness and momentum thickness: u/U = 3/2 (y/δ) – 1/2 (y/δ)² Where U = free stream velocity, u = velocity in boundary layer at a distance y and δ = boundary layer thickness. Read More »

A flat plate of 2m width and 4m length is kept parallel to air flowing at 5m/s. Determine the length of plate over which the boundary layer is laminar and shear stress at the location where boundary layer ceases to be laminar. Take ρ of air = 1.208 kg/m³ and υ of air = 1.47×10⁻⁵ m²/s.

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Fluid Mechanics Problem Solution Problem Statement A flat plate of 2m width and 4m length is kept parallel to air

A flat plate of 2m width and 4m length is kept parallel to air flowing at 5m/s. Determine the length of plate over which the boundary layer is laminar and shear stress at the location where boundary layer ceases to be laminar. Take ρ of air = 1.208 kg/m³ and υ of air = 1.47×10⁻⁵ m²/s. Read More »

If the velocity distribution law in a laminar boundary layer over a flat plate is assumed to be of the form u = ay + by³, determine the velocity distribution law.

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Fluid Mechanics Problem Solution Problem Statement If the velocity distribution law in a laminar boundary layer over a flat plate

If the velocity distribution law in a laminar boundary layer over a flat plate is assumed to be of the form u = ay + by³, determine the velocity distribution law. Read More »

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