Class 11PhysicsFluid Mechanics and Surface TensionBernoulli's Theorem and Applications of Bernoulli's Theory
MediumIs Bernoulli's equation unsteady? Explain.
(N/A) No,Bernoulli's equation is not unsteady. It is derived specifically for steady,incompressible,non-viscous,and irrotational flow of a fluid.
$1$. Steady Flow: The velocity,pressure,and density at any point in the fluid remain constant with respect to time.
$2$. Incompressible: The density of the fluid is constant.
$3$. Non-viscous: There is no internal friction or viscosity in the fluid.
$4$. Irrotational: The fluid particles do not rotate about their own axes.
Since the derivation assumes that the flow parameters do not change over time,the equation is applicable only to steady flow conditions.
$1$. Steady Flow: The velocity,pressure,and density at any point in the fluid remain constant with respect to time.
$2$. Incompressible: The density of the fluid is constant.
$3$. Non-viscous: There is no internal friction or viscosity in the fluid.
$4$. Irrotational: The fluid particles do not rotate about their own axes.
Since the derivation assumes that the flow parameters do not change over time,the equation is applicable only to steady flow conditions.
Explore More
Similar Questions
Write the limitations and uses of Bernoulli's equation.
Difficult
View SolutionDerive Bernoulli's equation for a steady,incompressible,and non-viscous (ideal) fluid flow.
Difficult
View SolutionAn $L$-shaped glass tube is just immersed in flowing water as shown. If the speed of the water current is $V$,then the height $h$ up to which the water rises will be
Medium
View SolutionDetermine the pressure difference in a tube of non-uniform cross-sectional area as shown in the figure. $\Delta P = ?$ (in $Pa$)
$d_{1} = 5 \, cm, V_{1} = 4 \, m/s, d_{2} = 2 \, cm, V_{2} = ?$
Assume the fluid is water with density $\rho = 1000 \, kg/m^{3}$.
$d_{1} = 5 \, cm, V_{1} = 4 \, m/s, d_{2} = 2 \, cm, V_{2} = ?$
Assume the fluid is water with density $\rho = 1000 \, kg/m^{3}$.
MediumAIIMS 2019
View SolutionWater flows through a frictionless duct with a cross-section varying as shown in the figure. The pressure $p$ at points along the axis is represented by:
Medium
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo