Recent questions in Bernoulli’s Equation and its Applications, Potential Flows

Three different siphons steadily discharge water at velocities $V_{\mathrm{I}}, V_{\mathrm{II}}$, and $V_{\mathrm{IIII}}$, as shown in the figure. The tubes of the siphon...

A piezometer and a Pitot tube are tapped into a horizontal water pipe, as shown in the figure, where $h_{1}=4 \mathrm{~cm}, h_{2}=6 \mathrm{~cm}$ and $h_{3}=5 \mathrm{~cm...

A two-dimensional source flow (with stream function, $\psi_{1}=m \tan ^{-1} \dfrac{y}{x}$ ) is placed at the origin in a uniform flow (with stream function, $\psi_{2}=U y...

​A doublet is the resulting flow pattern when a sink and a source of equal strength are brought together.Which one of the following options correctly represents the natur...

Consider the incompressible, steady and irrotational flow through a concentric reducer in a horizontal pipeline. The pipe diameter reduces from $d_{1}=12 \mathrm{~cm}$ to...

The velocity potential function in a two-dimensional flow field is given by $\phi(x, y)=-\left(a x y+b x^{2}-b y^{2}\right) \mathrm{m}^{2} / \mathrm{s}$ where $\mathrm{a}...

Consider steady incompressible flow over a flat plate, where the dashed line represents the edge of the boundary layer, as shown in the figure. Which one among the follow...

An inviscid steady incompressible flow is formed by combining a uniform flow with velocity $U_{\infty}$ and a clockwise vortex of strength $K$ at the origin, as shown in ...

\begin{tabular}{l|l}Q. 33 & For a potential flow, the fluid velocity is given by $\vec{V}(x, y)=u \hat{\imath}+v \hat{\jmath}$. The slope \\of the potential line at $(x, ...

Q. 40 Water (density $=1000 \mathrm{~kg} / \mathrm{m}^{3}$ ) flows steadily with a flow rate of $0.05 \mathrm{~m}^{3} / \mathrm{s}$ through a venturimeter having throat d...

A flow has a velocity potential given by $\phi=A x^{3}$ where ' $A$ ' is a non-zero constant. Which of the following statement(s) is/are true about the flow?The flow is i...

Consider an inviscid flow through a smooth pipe which has a pitot-static tube arrangement as shown. Find the centre-line velocity in the pipe.Consider that the density of...

A two-dimensional flow field is described by a combination of a source of strength $m$ at the origin and a uniform flow, $U$, in the positive $x$-direction such that the ...