For this question:
A regular wave train impinges on a plane beach and breaks where Hb = 2.16m.
What will be the wave set-up at the shore ?
Describe the step by step process to answer this:
Also what is an assumption we make to make the calculation simpler?
1 - Find Sxx, using the equations for Sxx and E from the formula book (assuming shallow condtions, kh —> 0 )
2 - Input into equation for mean water surface elevation, and integrate from xb to xs.
3 - Use equation for n (xb) from formula book to leave the only unknown in the equation as h (xb)
4 - Use Miche’s criterion to find value for h (xb)
5 - Calculate n (xs)
We approximate n(xs) to equal n’(xs), allowing for a much simpler calculation, as there is very small error.
In beach nourishment, what is the point where h = h*?
Where the summer profile and winter profile join together
If h > h*, what will no longer occur?
Sediment will no longer be transferred
What is cg?
The speed at which energy is transported
What is celentiy?
The speed at which the wave propagates
Is E*cg constant?
Yes, no matter what height
What happens to cg in shallow water?
Approximately equal to the celentiy, which is approx root gh
What is the difference between an intersecting and non-intersecting beach profile?
Both are Df > Dn
However, an intersecting profile is steeper, and completes before hitting h*
What does V / delta y equal, where V is the total volume of nourishment, and delta y is the alongshore extent of the nourishment ? (For an intersecting profile)
B*delta x + An * integral ( x^2/3) from xi to 0 minus Af * integral ( x - delta x) ^2/3
How do you determine xi, using the dean profile equation ?
An*xi^2/3 = Af (xi - delta x) ^ 2/3
What does V / delta y equal, where V is the total volume of nourishment, and delta y is the alongshore extent of the nourishment ? (For a non-intersecting profile)
Bdelta x + An * integral ( x^2/3) from x to 0 minus Af * integral ( x - delta x) ^2/3 from x* to delta x
What is the 3-step process for soliving a beach noursihemnt question for a non-intersecting beach ?
1 - Determine An and Af
2 - Calculate xi, if h(xi) > h * then the profile is intersecting
3 - Calculate the volume
What is the definition of Ecg ?
The rate of transport of wave energy in the theta direction per unit width of wave crest
What is the definition of Ecg cos theta ?
The rate of transport of wave energy in the theta direction per unit length in the alongshore direction
What is the definition of Ecg cos theta sin theta ?
The alongshore component of the rate of energy transport in the theta direction per unit length in the alongshore direction.
What does c equal in shallow sections ?
root gh
You are told that in a wave-structure interaction problem the Keulegan-Carpenter number is 12. What does this tell you about the balance of drag and inertial forces in the problem?
Kc = 12: neither drag or intertial forces can be ignored, so both must be considered
In which two coastal zones does alongshore sediment transfer occur?
Occurs both in the surf zone (where the waves break) and the swash zone (where the waves periodically wet and dry the beach)
You are asked to calculate the uplift force due to a progressive wave on a submerged structure. Would it be appropriate to use Morison’s equation to do this? Justify you answer briefly.
No, becuase Morison’s equation is developed for estimation of the net horizontal force.
A surface gravity has a wavlength 100 m, what is the wavemnumner of the wave in radians per m, degrees per m, and oscillations per m?
k = 2*pi/100 radians per m
k = 360/100 = 3.6 degrees per m
k = 1 oscillation over 100m = 0.01 oscillations per m
You are tasked with estimating mean overtopping rate at a sloping sea wall that protects a promenade behind a tourist beach, at high tide, and during a storm with onshore winds.
You have the high tide level and have wave and wind conditions at an offshore buoy, and bathymetry.
List briefly, in the correct order, the five tasks you would need to perform to accurately estimate the mean overtopping rate:
1 - Estimate storm surge at the shore.
2 - Transform wave height to the break point using the newly calculated mean depth
3 - Estimate the set up at shore, using the wave height at break point
4 - Transform that wave height to the toe of the newly estimate mean depth
5 - Finally, estimate mean overtopping rate from the wave condtions at the toe
What does c equal? Therefore what can it be deduced that c^2 equals?
c = w / k, therefore c^2 = w^2 / k^2
When waves propagate, what quantity is tranported at group velocity?
Wave energy is transported at the group velocity
Storm surge is an elevation in the mean water level at the coast. State the two main forces that contribute to the size of the storm surge:
The two forces contributing to the storm surge size are the sear stress exterted by the wind on the sea surface, and the hydrostatic force that opposes this, due to gravity.