Circulation and vorticity 1- Determine whether the continuity equation is satisfied by the following velocity components for incompressible fluid: u= x°y, v=2xy-xy² , w=x²-y? 2- Determine the missing component of velocity distribution such that they satisfy continuity equation u=2x²+2xy, v=2yz²+3z?, w=? 3- The velocity components in a three dimensional fluid flow are: U=x²+y*z , v=-(xy+yz+zx) Determine the missing component of velocity distribution such that continuity equation is satisfied. 4- The velocity components of fluid flow (incompressible) are : U=x?y, v=2yz-xy? , w=x² + z? Show that this flow is kinematically possible. In a three-dimensional incompressible fluid flow, the velocity components are: u=x²+z?+5 , v=y²+z? -3 Determine the third components of velocity. Is the fluid flow irrotational? 5-

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Circulation and vorticity
1- Determine whether the continuity equation is satisfied by the following velocity
components for incompressible fluid:
u= x?y, v=2xy-xy? , w=x²-y²
2- Determine the missing component of velocity distribution such that they satisfy
continuity equation u=2x²+2xy, v=2yz²+3z?, w=?
3- The velocity components in a three dimensional fluid flow are:
U=x²+y°z³ , v=-(xy+yz+zx)
Determine the missing component of velocity distribution such that continuity equation
is satisfied.
4- The velocity components of fluid flow (incompressible) are :
U=x?y, v=2yz-xy² , w=x² + z²
Show that this flow is kinematically possible.
5- In a three-dimensional incompressible fluid flow, the velocity components are:
u=x²+z?+5 , v=y²+z² -3
Determine the third components of velocity. Is the fluid flow irrotational?
Transcribed Image Text:Circulation and vorticity 1- Determine whether the continuity equation is satisfied by the following velocity components for incompressible fluid: u= x?y, v=2xy-xy? , w=x²-y² 2- Determine the missing component of velocity distribution such that they satisfy continuity equation u=2x²+2xy, v=2yz²+3z?, w=? 3- The velocity components in a three dimensional fluid flow are: U=x²+y°z³ , v=-(xy+yz+zx) Determine the missing component of velocity distribution such that continuity equation is satisfied. 4- The velocity components of fluid flow (incompressible) are : U=x?y, v=2yz-xy² , w=x² + z² Show that this flow is kinematically possible. 5- In a three-dimensional incompressible fluid flow, the velocity components are: u=x²+z?+5 , v=y²+z² -3 Determine the third components of velocity. Is the fluid flow irrotational?
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