A horizontal tube of non-uniform cross-sectio | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) According to the principle of continuity, for a streamline flow of an incompressible, non-viscous fluid through a tube of non-uniform cross-sectio

Vedclass · Accepted Answer

Same at $M$ and $N$

Vedclass · Answer

(D) According to the principle of continuity, for a streamline flow of an incompressible, non-viscous fluid through a tube of non-uniform cross-section, the volume rate of flow (also known as the discharge rate, $Q$) remains constant at every cross-section of the tube.The equation of continuity is given by $A_1 v_1 = A_2 v_2 = 	ext{constant}$, where $A$ is the cross-sectional area and $v$ is the velocity of the fluid.Since the fluid is incompressible and the flow is steady (streamline), the amount of fluid entering any section of the tube in a given time must equal the amount of fluid leaving that section.Therefore, the rate of flow of the liquid is the same at both points $M$ and $N$.

$A$ horizontal tube of non-uniform cross-section has radii of $0.1\,m$ and $0.05\,m$ respectively at $M$ and $N$. For a streamline flow of liquid, the rate of liquid flow is:

Similar Questions

An incompressible liquid flows through a horizontal tube as shown in the following figure. Then the velocity $v$ of the fluid is ....... $m/s$.

$A$ tube of length $L$ is shown in the figure. The radius of the cross-section at point $(1)$ is $2 \ cm$ and at point $(2)$ is $1 \ cm$. If the velocity of water entering at point $(1)$ is $2 \ m/s$,then the velocity of water leaving at point $(2)$ will be: (in $m/s$)

Two water pipes of diameters $2 \text{ cm}$ and $4 \text{ cm}$ are connected with the main supply line. The velocity of flow of water in the pipe of $2 \text{ cm}$ diameter is

$A$ liquid flows in the tube from left to right as shown in the figure. $A_1$ and $A_2$ are the cross-sections of the portions of the tube as shown. The ratio of speed $\frac{v_1}{v_2}$ will be ..........

An engine pumps a liquid of density $d$ continuously through a pipe of cross-sectional area $A$. If the speed of the liquid passing through the pipe is $V$,what is the kinetic energy per unit time imparted to the liquid?

Vedclass Test Series

Exam Paper Generator

Online Exam Module