fluid mechanics

Consider a steady, and incompressible flow over a body with characteristic length L. The boundary layer thickness at a distance x from the leading edge is δ. Which one of the follo...

Three different siphons steadily discharge water at velocities V₁, V₁₁, and V₁₁₁, as shown in the figure. The tubes of the siphons are of same diameter. If the frictional losses ar...

Consider the following statements: Assertion (a) Surface tension acts along the interface of two fluids. Reason (r) The pressure of the fluid inside a bubble is higher than that of...

Which of the following statements about streamlines, pathlines, and streaklines is/are correct?

A piezometer and a Pitot tube are tapped into a horizontal water pipe, as shown in the figure, where h₁ = 4 cm, h₂ = 6 cm and h₃ = 5 cm. Consider the flow to be steady, laminar, an...

A steady, laminar, and incompressible flow between a pair of infinite parallel plates is driven by a constant pressure gradient ($-dp/dx$). The plates are separated by a distance $...

An incompressible fluid flows between a pair of infinite plates separated by a distance L. The top plate is moving with a constant velocity U, whereas the bottom plate is stationar...

Consider two different cases of water flowing through a smooth pipe of 50 cm diameter. The mass flow rates for the two cases are (i) 0.25 kg.s⁻¹, and (ii) 0.8 kg.s⁻¹. Assume the de...

A two-dimensional source flow (with stream function, $\psi_1 = m \tan^{-1}\frac{y}{x}$) is placed at the origin in a uniform flow (with stream function, $\psi_2 = Uy$). Here, the s...

Consider a steady, laminar, and incompressible flow over a flat plate, as shown in the figure. With freestream velocity U∞ and kinematic viscosity v1, the boundary layer thickness...

The axial velocity profile of a laminar, incompressible, and fully-developed flow in a circular pipe of radius R is given as $v_z = \frac{1}{4\mu} \frac{dp}{dz} (r^2 - R^2)$, where...

Air flows through a pipe of diameter D with an average velocity of 3 m.s⁻¹. The Darcy friction factor of the pipe is 0.02. Assume acceleration due to gravity as 10 m.s⁻². If the he...