fluid dynamics

A steady incompressible laminar flow passes through a 90° tube bend placed on a horizontal surface. In horizontal diametric plane, two pressure taps Pi and Po are provided across t...

Consider two identical tanks with a bottom hole of diameter d. One tank is filled with water and the other tank is filled with engine oil. The height of the fluid column h is same...

The velocity field of a two-dimensional, incompressible flow is given by V⃗ = 2 sinh x î + v(x, y) ĵ where î and ĵ denote the unit vectors in x and y directions, respectively. If v...

Consider an isentropic flow of air (ratio of specific heats = 1.4) through a duct as shown in the figure. The variations in the flow across the cross-section are negligible. The fl...

The velocity field of a certain two-dimensional flow is given by V(x, y) = k(xî – yĵ) where k = 2 s^-1. The coordinates x and y are in meters. Assume gravitational effects to be ne...

An explosion at time t = 0 releases energy E at the origin in a space filled with a gas of density ρ. Subsequently, a hemispherical blast wave propagates radially outwards as shown...

A frictionless circular piston of area 10⁻² m² and mass 100 kg sinks into a cylindrical container of the same area filled with water of density 1000 kg/m³ as shown in the figure. T...

A sprue in a sand mould has a top diameter of 20 mm and height of 200 mm. The velocity of the molten metal at the entry of the sprue is 0.5 m/s. Assume acceleration due to gravity...

A water container is kept on a weighing balance. Water from a tap is falling vertically into the container with a volume flow rate of $$'Q'$$; the velocity of the water when it hit...

Navier Stoke's equation represents the conservation of

Prandtl’s mixing length is turbulent flow signifies