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Isotropic

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1. Steady state
2. 1-D flow
3. Incompressible flow
4. dP/dz=constant
5. gz=g
6. Newtonian fluid
7. Constant properties
8. Laminar flow

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Newtonian fluid

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Incompressible fluid
Laminar flow
Constant properties

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3rd assumption: incompressible flow then continuity equatuon (how many marks if I state 3 assumptions?)

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Constant properties

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When x=delta, v_z=0

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Constant density

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Pressure drop =0

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1-D

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One direction flow
Vx=0
Vy=0
Vz=f(x)
Density=constant (incompressible fluid properties)
From continuity equation —> dVz/dz = 0
Pressure gradient = 0 (dP/dz=0)
Continuous flow (steady state) —> dVz/dt = 0
Laminar Flow

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Laminar flow

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Newtonian flyid

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laminar flow

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1-d flow

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Steady state

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1D ss incomp fluid laminar const properties dp/dz=0 newtonian fluid gz=0

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1st Assumption: no dP/dz (don't ask me how I know)

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Steady state

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Incompressible fluid

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1 direction Vs
Steady State
Vx=Vy=0
Incompressible fluid
Laminar Flow
Continuous Properties
dP/dz =0

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Incompressible fluid

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Steady state, 1-D flow,  compressible fluid

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1-D flow
Constant properties
Steady State
Imcompressible fluid
Laminar

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Steady state

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Steady state
Incompressible fluid
Constant properties
1-D
Newtonian fluid

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Steady state
1 dimensional flow
Newtonain fluid
Incompressible
Constant properties

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Incompressible fluid

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gz = g
laminar flow

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Incompressible fluid

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1-D flow,Vz

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1. Steady state
2. 1-D flow
3. Incompressible flow
4. dP/dz=constant
5. gz=g
6. Newtonian fluid
7. Laminar flow
8. Constant properties