M2 Flashcards
(85 cards)
Assumed top neglect the effects of friction in tackling situations involving fluid dynamics. It can either be incompressible or incompressible.
Inviscid
is the property of a fluid to resist shearing stresses and a tendency to adhere to solid surfaces.
Viscosity
It is deemed to be an important fluid property when analyzing fluid behavior and motion near solid boundaries
Viscosity
Viscosity of water
1.0centipoise
Viscosity of honey
12,200 centipoise
It is caused by intermolecular forces or the friction that is exerted when layers of fluid try to slip by one another.
Shear resistance
Two related measures of fluid viscosity
- Dynamic μ0
- Kinematic v
is one way to measure a fluid’s resistance to flow when an external
force is applied.
Dynamic Viscosity
Constant value of Dynamic Viscosity ( SI and Imperial)
μ0air= 1.789 x10^5 kg/ms
= 3.7272 X 10^4 ft^2/s
It is another way to measure this resistive flow of a fluid
when no external force is applied except the influence of weight.
Kinematic Viscosity
Constant value of Kinematic Viscosity ( SI and Imperial)
vair= 1.460 x 10^ -5 m^2/s
= 1.5723 x 10^-4 ft^2/s
——————— formulated a paradox about an ideal frictionless flow where it states that both drag and lift are zero in potential flow with the following characteristics:
- d’Alembert (1752)
characteristics:
-Incompressible
-Inviscid
-Irrotational; and
-Stationary
He suggested that drag could somehow result from a very thin region close to a solid boundary. Although his resolution to the paradox was incorrect, his insight to the concept of boundary layer was a huge contribution when it came to solving problems regarding viscous flows.
Ludwig Prandtl (1904)
a layer adheres to the surface because of friction between the gas and the surface of the solid material
Boundary Layer
It is airflow that is closest to and in contact with the aircraft, in other words, tight at the surface, the flow is zero,
Boundary Layer
There is a thin region of retarded flow in the vicinity of the surface. A flow field can be split into two regions:
-Boundary Layer
-Potential or Frictionless Flow ( outside the
boundary layer)
Inner edge of the boundary layer (a) (V=?)
Velocity= 0
the flow velocity is essentially the same to the flow velocity for the frictionless flow at V2, meaning that the properties on the outer edge of the boundary layer can be calculated from a
“frictionless flow analysis”
Outer edge of the boundary layer (b)
grows as the flow moves over the aerofoil.This happens as
more and more friction affects the flow as the distance along the surface increases.
Boundary Layer Thickness δ
The friction on the surface of the aerofoil also contributes to the __________at the surface.
shear stress τω
The shear stress has
dimensions of force/area and acts in a direction “tangential” to the surface τ w gives rise to a drag force called _________.
Skin Friction Drag
Flows in which the streamlines of a flow are smooth and regular and the fluid element moves smoothly along the streamline.
Laminar Flow
These are flows in which the streamlines break up and a fluid element moves in a random, irregular, and tortuous fashion.
Turbulent Flow
Factors that affect the type of flow in the Boundary Layer: (6)
-Quality (smoothness) of the flow approaching the body
-The shape of the body
-Surface roughness
-Pressure gradient
-Reynolds Number
-Heating of the fluid by the surface