−
If this is positive, the wave is propagating backwards (in the negative x direction)
−
If this is positive, the wave is propagating backwards (in the negative x direction)
The free surface elevation of a linear regular wave isexpressed as
If a wave is moving in one direction it is called a plane wave (dependent on only x & t OR y & t)
– free-surface elevation
It is a function of space and time
𝑑 – Still water depth
Taken as the distance from the mean surface level to the seabed
wind waves are surface waves thatoccur on the free surface of the ocean.
There are other waves that occur internally in the ocean due to things like difference in salinity - but in this unit we are more interested in waves that propagate on the free surface
When you say it acts laterally, does this just mean that it is perpendicular to the flow direction but not necessarily up or down?
This explains why the drag oscillates at double the vortex shedding frequency - because it does not depend on if the vortices are moving clockwise (upper half) or anticlockwise (lower half)
Helical strake
It is a sort of "fin" that is attached to the cylinder in a helix shape which prevents the formation of vortices
Increased drag
When the cylinder starts to move, the flow "sees" a larger cross sectional area which increases the drag
𝜈
Kinematic viscosity
𝑆𝑡 ≈ 0.2 for subcritical flow
If we are given a problem where Strouhal or reynolds number are not known - is it ok to assume St = 0.2?
Viscous effect
Sometimes the viscous effect can be neglected, but it is very important when dealing with problems to do with boundary layers and flow separation
𝑚𝑎
Added mass effect (more important in water than in air) - when you move in water you accelerate the surrounding fluid making it harder to move
frequency of oscillation
This refers to the natural frequency of the object - in design it is important to design risers etc to have a natural frequency that is far from the vortex shedding frequency
𝐹𝑥
Unit for both Fx and Fy are N/m because it is a two dimensional force
Ocean current - A Perpetual Oceanhttps://svs.gsfc.nasa.gov/3827Lecture 3
Ocean current and tidal currents are not the same due to wind, temperature difference, and salinity.
ides are one of the most predicable rise and fall of sea levels,
It is the most predictable as the positions of the sun, moon etc are known. The same cannot be said for waves & wind.
( )3 MassDistance
Gravity is inversely proportional to (distance)^2. But the tidal generating force is related to the difference in gravitational force (the derivative of the gravitational force) which is why the tidal generating force is inversely proportional to (distance)^3 instead of (distance)^2
For objects sensitive to varying wind loads
These objects are typically slender structures / floating structures
projected area
For example 1, A is calculated as the surface area of the plane perpendicular to wind speed ( 5 x 5 = 25). But for example 2, A is calculated as the whole surface area of the cylinder (A = Dh), why?
H0 = 10 m & T0 = 1 hour.
Always use H0 = 10m and T0 = 1hr in calculations
Reynolds number
It is a function of the speed of the fluid, the more turbulent the flow the larger the Reynolds number
above the water level.
Above water > wind Below water > current
Ship impact
Accidental load
Rescueequipment
Live load
Helicopter Landing
Live load
Wave/swell
Difference between wind wave & swell: - Wind waves are locally generated and have shorter wavelengths - Swells typically have longer wavelengths & travel beyond the location where they were generated
2) Live (operating) loads
Characteristics of live loads: - Variable (not static) - Temporary
1) Dead (permanent) loads
Characteristics of dead loads: - Static - Permanent - Constant with time
Unique to offshorestructure
Couldn't some of these loads apply to onshore structures as well? making it not entirely unique? (other than wave/marine growth etc)