Recent questions and answers in Internal Flows

For a laminar, incompressible, and fully-developed flow through a circular pipe, the ratio of the maximum velocity to the average velocity of the flow is$1.5$$2$$3$$4$

Air flows with a freestream velocity $U$ over four different bodies having same frontal area facing to the flow direction, as shown in the figure. Which one of the follow...

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

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 plat...

Consider two different cases of water flowing through a smooth pipe of $50$ $\mathrm{cm}$ diameter. The mass flow rates for the two cases are $\text{(i)}$ $0.25 \mathrm{~...

The axial velocity profile of a laminar, incompressible, and fully-developed flow in a circular pipe of radius $R$ is given as $v_{z}=\dfrac{1}{4 \mu} \dfrac{d p}{d z}\le...

Air flows through a pipe of diameter $D$ with an average velocity of $3 \mathrm{~m}. \mathrm{s}^{-1}$. The Darcy friction factor of the pipe is $0.02$. Assume acceleratio...

Water is flowing at $100$ $\mathrm{litres}/ \mathrm{min}$ through a pipe with a diameter of $5$ $\mathrm{cm}$. Assume the coefficient of viscosity of water to be $0.001$ ...

A hydro turbine works under a head of $20$ $\mathrm{m}$ and has a maximum volume flow rate of $4 \mathrm{~m}^{3} \mathrm{~s}^{-1}$ and a speed of $750$ $\mathrm{rpm}$. De...

​​​Consider the steady, incompressible, and fully developed laminar flow of a fluid through a circular pipe. Here, $\Delta P$ is the pressure drop in the direction of the...

​​​Figure shows two parallel plates (upper plate at $x=b$ and lower one at $x=-b$ ) of length $L$ (aligned in $z$ direction) and infinite width (in $y$ direction, normal ...

​​​​$\textbf{Group-I}$ shows different two-dimensional bodies and $\textbf{Group-II}$ mentions their total drag coefficient $\left(C_{D}\right)$ based on frontal area whi...

Figure shows the steady and incompressible flow of a fluid in the direction of arrow from section $A$ to section $D$. Three pipe connectors are to be placed between secti...

​​​A liquid flows under steady and incompressible flow conditions from station $1$ to station $4$ through pipe sections $\mathrm{P}, \mathrm{Q}, \mathrm{R}$, and $\mathrm...

Driven by a pressure gradient of $100 \mathrm{kPa} / \mathrm{m}$, a fluid of dynamic viscosity $0.1 \mathrm{~Pa.s}$ flows between two fixed infinitely large parallel plat...

Water flows through a pipe of diameter $20 \mathrm{cm}$ at a flow rate of $0.025 \mathrm{~m}^{3} / \mathrm{s}$. A pitotstatic tube is placed at the centre of the pipe and...

An oil of density $870 \mathrm{~kg} / \mathrm{m}^{3}$ and viscosity $0.036 \: \mathrm{Pa.s}$ flows through a straight pipe of $10 \: \mathrm{cm }$ diameter and $1.5 \: \m...

​​​​Which of the following is the correct form of the mass divergence form of the continuity equation for a compressible fluid?[In the given equations, $\rho$ is the dens...

The hydraulic diameter for a circular pipe of radius $R$ is$0.5 R$$R$$2 R$$4 R$

For incompressible, laminar, fully-developed flow through a circular pipe, Darcy friction factor and Fanning friction factor are represented as $f$ and $C_{f}$, respectiv...

A thin film of an incompressible, Newtonian liquid $\text{(density $\rho$, viscosity $\mu$)}$ with an uniform thickness $(h)$ is flowing down on a vertical plate. The flo...

Consider the steady, incompressible flow of water in a horizontal pipe of constant diameter $1$ m with an inlet velocity of $12 \mathrm{~m} / \mathrm{s}$.As shown in figu...

The axial velocity profile of a laminar, incompressible and fully-developed flow in a circular pipe of radius $(R)$ is given as $u_{z}=-\frac{1}{4 \mu} \frac{\partial p}{...

The surface temperature of a hot plate is $175^{\circ} \mathrm{C}$. The ambient air temperature is 25 ${ }^{\circ} \mathrm{C}$. The rate of heat transfer per unit area in...

Consider steady fully-developed incompressible flow of a Newtonian fluid between two infinite parallel flat plates. The plates move in the opposite directions, as shown i...

Q. 42 Axial velocity profile $u(r)$ for an axisymmetric flow through a circular tube of radius $R$ is given as,\[\frac{u(r)}{U}=\left(1-\frac{r}{R}\right)^{1 / n}\]where ...

\begin{tabular}{l|l}Q. 137 & Which of the following statements is NOT correct? \\\hline& \begin{tabular}{l}As the shear rate increases, the apparent viscosity decreases f...

The figure shows the developing zone and the fully developed region in a pipe flow where the steady flow takes place from left to right. The wall shear stress in the sect...

Which of the following statement(s) regarding a venturimeter is/are correct?In the direction of flow, it consists of a converging section, a throat, and a diverging secti...

Identify the configuration(s) in which steady two-dimensional internal flow may show boundary layer separation if the flow direction is left to right.