Which of these equations represent a Euler equation?

( rho frac{Dv}{Dt}=- nabla p+ mu nabla^2 v+ rho g )

( rho frac{Dv}{Dt}=- nabla p+ rho g )

( rho frac{Dv}{Dt}=- nabla p+ mu nabla^2 v+ rho g )

There is no difference between Navier-Stokes and Euler equations with respect to the continuity equation. Why?

Convection term plays the diffusion term s role

Diffusion cannot be removed from the continuity equation

Its source term balances the difference

The continuity equation by itself has no diffusion term

Eulerian equations are suitable for which of these cases?

Compressible flows at high Mach number

Incompressible flows at high Mach number

Which of these is the non-conservative differential form of Eulerian x-momentum equation?

( frac{( rho u)}{ partial t}=- frac{ partial p}{ partial x}+ rho f_x )

( frac{ partial( rho u)}{ partial t}+ nabla.( rho u vec{V})=- frac{ partial p}{ partial x}+ rho f_x )

( rho frac{Du}{Dt}=- frac{ partial p}{ partial x}+ rho f_x )

( frac{( rho u)}{ partial t}=- frac{ partial p}{ partial x}+ rho f_x )

( rho frac{ partial u}{ partial t}=- frac{ partial p}{ partial x}+ rho f_x )

Explore topic-wise MCQs in Computational Fluid Dynamics.

This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Computational Fluid Dynamics knowledge and support exam preparation. Choose a topic below to get started.

1.	To which of these flows, the Euler equation is applicable?
A.	Couette flow
B.	Potential flow
C.	Stokes Flow
D.	Poiseuille s flow
Answer» C. Stokes Flow

Discussion

2.	In Euler form of energy equations, which of these terms is not present?
A.	Rate of change of energy
B.	Heat radiation
C.	Heat source
D.	Thermal conductivity
Answer» E.

Discussion

3.	Which of the variables in the equation ( rho frac{Du}{Dt}=- frac{ partial p}{ partial x}+ frac{ partial tau_{xx}}{ partial x}+ frac{ partial tau_{yx}}{ partial y}+ frac{ partial tau_{zx}}{ partial z}+ rho f_x ) will become zero for formulating Euler equation?
A.	f<sub>x</sub>, <sub>yx</sub>, <sub>zx</sub>
B.	<sub>xx</sub>, <sub>yx</sub>, u
C.	<sub>xx</sub>, <sub>yx</sub>, <sub>zx</sub>
D.	<sub>xx</sub>, p, <sub>zx</sub>
Answer» D. <sub>xx</sub>, p, <sub>zx</sub>

Discussion

4.	Which of these equations represent a Euler equation?
A.	( rho frac{Dv}{Dt}=- nabla p+ rho g )
B.	( rho frac{Dv}{Dt}=- nabla p+ mu nabla^2 v+ rho g )
C.	p= <sup>2</sup>v+ g
D.	0= <sup>2</sup>v+ g
Answer» B. ( rho frac{Dv}{Dt}=- nabla p+ mu nabla^2 v+ rho g )

Discussion

5.	There is no difference between Navier-Stokes and Euler equations with respect to the continuity equation. Why?
A.	Convection term plays the diffusion term s role
B.	Diffusion cannot be removed from the continuity equation
C.	Its source term balances the difference
D.	The continuity equation by itself has no diffusion term
Answer» E.

Discussion

6.	Euler form of momentum equations does not involve this property.
A.	Stress
B.	Friction
C.	Strain
D.	Temperature
Answer» C. Strain

Discussion

7.	Eulerian equations are suitable for which of these cases?
A.	Compressible flows
B.	Incompressible flows
C.	Compressible flows at high Mach number
D.	Incompressible flows at high Mach number
Answer» E.

Discussion

8.	Which of these is the non-conservative differential form of Eulerian x-momentum equation?
A.	( frac{ partial( rho u)}{ partial t}+ nabla.( rho u vec{V})=- frac{ partial p}{ partial x}+ rho f_x )
B.	( rho frac{Du}{Dt}=- frac{ partial p}{ partial x}+ rho f_x )
C.	( frac{( rho u)}{ partial t}=- frac{ partial p}{ partial x}+ rho f_x )
D.	( rho frac{ partial u}{ partial t}=- frac{ partial p}{ partial x}+ rho f_x )
Answer» C. ( frac{( rho u)}{ partial t}=- frac{ partial p}{ partial x}+ rho f_x )

Discussion

9.	Euler equations govern ____________ flows.
A.	Viscous adiabatic flows
B.	Inviscid flows
C.	Adiabatic and inviscid flows
D.	Adiabatic flows
Answer» D. Adiabatic flows

Discussion

10.	The general transport equation is ( frac{ partial( rho Phi)}{ partial t}+div( rho Phi vec{u})+div( Gamma grad Phi)+S ). For Eulerian equations, which of the variables in the equation becomes zero?
A.
B.
C.
D.	( vec{u} )
Answer» B.

Discussion

Explore topic-wise MCQs in Computational Fluid Dynamics.

To which of these flows, the Euler equation is applicable?

In Euler form of energy equations, which of these terms is not present?

Which of the variables in the equation ( rho frac{Du}{Dt}=- frac{ partial p}{ partial x}+ frac{ partial tau_{xx}}{ partial x}+ frac{ partial tau_{yx}}{ partial y}+ frac{ partial tau_{zx}}{ partial z}+ rho f_x ) will become zero for formulating Euler equation?

Which of these equations represent a Euler equation?

There is no difference between Navier-Stokes and Euler equations with respect to the continuity equation. Why?

Euler form of momentum equations does not involve this property.

Eulerian equations are suitable for which of these cases?

Which of these is the non-conservative differential form of Eulerian x-momentum equation?

Euler equations govern ____________ flows.

The general transport equation is ( frac{ partial( rho Phi)}{ partial t}+div( rho Phi vec{u})+div( Gamma grad Phi)+S ). For Eulerian equations, which of the variables in the equation becomes zero?