Numerical's Solution | Fluid Dynamics

2076 B

Eight spherical rain drops of the same mass and radius are falling down with a terminal speed  $5\;cm/s$. If the coalesce to form one big drop, what will be its terminal speed? [Click here for solution]

2075 S / 2072 D / 2069 A / 2057

Castor oil at $20^{\circ}\;C$ has a coefficient of viscosity $2.42\;N\,s\, /m^2$ and density $940\; kg/m^3$. Calculate the terminal velocity of steel ball of radius $2\;mm$ falling under gravity in the oil, taking density of steel as $7800\;kg/m^3$. [Click here for solution]

2075 A

Calculate mass of an aeroplane with the wings of area $55\;m^2$ flying horizontally. The velocity of air above and below the wings is $155\;m/s$ and $140\;m/s$ respectively. [Click here for solution]

2073 S / 2062

Calculate the magnitude and direction of the terminal velocity of an air bubble of radius $1\;mm$ passing through an oil viscosity $0.2\;N\,s\, /m^2$ and specific gravity $0.9$ if the density of air is $1.29\;kg/m^3$. [Click here for solution]

2073 D

Eight spherical raindrops of equal size are falling vertically through air with a terminal velocity of $0.15\;m/s$. What would be the terminal velocity, if they coalesce to form a big drop? [Click here for solution]

2069 S

Three spherical raindrops of equal size are falling vertically through air with terminal velocity $0.2\;m/s$. What would be the terminal velocity if these three drops were to coalesce to form lager spherical drops? [Click here for solution]

2068

Water flows steadly through a horizontal pipe of non-uniform cross section. If the pressure of water is $4 * 10^6\;N/m^2$ at a point where the velocity of flow is $2\;m/s$ and cross section is $0.02\;m^2$, what is the pressure at a point where cross-section reduces to $0.01\;m^2$? [Click here for solution]

2067

Three spherical raindrops of equal size are falling vertically through air with a terminal velocity of $0.15\;m/s$. What would be the terminal velocity if these three drops were to coalesce to form a large spherical drop? [Click here for solution]

2065

Two drops of same liquid of same radius are falling through air with steady velocity of $2\;m/s$. If the two drops coalesce what would be the terminal velocity? [Click here for solution]

2061

What is the terminal velocity of a glass ball falling through a tall jar containing glycerine? The densities of the glass ball and glycerine are $2.6\;g/cc$ and $1.32 \;g/cc$ respectively and the viscosity of the glycerine is $0.85\;poise$ and radius of the glass ball is $2\;mm$. [Click here for solution]

2059

What is the terminal velocity of a glass ball falling through a tall jar containing glycerine? The densities of the glass ball and glycerine are $8.5\;g/cc$ and $1.32 \;g/cc$ respectively and the viscosity of the glycerine is $0.85\;poise$ and radius of the glass ball is $2\;mm$. [Click here for solution]

2050

With what the terminal velocity will an air bubble $1\;mm$ in diameter rise in a liquid of viscosity $150\;poise$ and density $0.9\;g/cm^3$? [Click here for solution]

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