Recent questions tagged gatexe-2025

Let $u(x, t)$ be the solution of the initial boundary value problem$$ \begin{array}{c}\frac{\partial u}{\partial t}-\frac{\partial^{2} u}{\partial x^{2}}-u=0, \quad 0< x ...

​​​Fluid at a constant flow rate passes through a long, straight, cylindrical pipe that has an axisymmetric convergent section at the end.Which one of the following optio...

​​​A sharp flat plate of length $L$ and infinite width is immersed parallel to a fluid stream having velocity $u_{\infty}$. At a point on the plate, far away from the lea...

​Consider the following Statements $ $ and $ $.Statement $ $: The Eulerian study focusses attention on individual particle and its motion is observed as a function of tim...

​​​Statement of Reynolds Transport Theorem is given below with three blanks.The rate of change of $\_\_\_\_\_$ extensive property can be calculated by summing the rate of...

​​​For a steady and incompressible flow, the velocity field $(\vec{V})$ in Cartesian $(x, y, z)$ coordinate system is given as:$$\vec{V}=5 x i-P y j+3 k$$Here, $i, j$, an...

​​​Conservation of mass for a steady axisymmetric flow field in the cylindrical $(r, z)$ coordinates is:$$\frac{1}{r} \frac{\partial\left(r V_{r}\right)}{\partial r}+\fra...

​​$\textbf{Group-I}$ indicates different properties of fluid and $\textbf{Group-II}$ defines their basic dimensions in terms of Force $(F)$, Length ( $L$ ), and Time ( $T...

​​​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...

​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...

​​​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...

​​​​A solid body of uniform specific gravity floats in a deep liquid pool. Take $B, G$, and $M$ as the centre of buoyancy, centre of gravity, and metacentre of the body, ...

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...

Consider, $i$ and $j$ are unit vectors along $x$ and $y$ directions of a Cartesian $(x, y)$ coordinate system, respectively and $t$ is time. Temperature ($T$) and fluid v...

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...

An incompressible fluid is flowing between two infinitely large parallel plates separated by $5 \mathrm{mm}$ distance. The bottom plate is stationary and the top plate is...

Consider, a kite weighing $100$ grams as essentially a rigid flat plate making an angle $8^{\circ}$ with the horizontal and having a planform area of $0.045 \mathrm{~m}^{...

A fixed control volume has four one-dimensional boundary sections $(1,2,3$, and $4$). For a steady flow inside the control volume, the flow properties at each section are...