CE$363$ INTRODUCTION TO COASTAL ENGINEERING

HOMEWORK $2$

Q$1($T$)/(8)$ intervals and up to $2$ wave lengths away from a

vertical impermeable wall considering the reflection coefficients C$\_($R$)=1$ and C$\_($R$)=0\mathrm{.}5.$ Plot and

discuss your results.

Q$2$T$=8$sec is travelling at a water depth of d$=19$m$.$ The

equation of particle trajectory $($orbit$)$ at SWL is given as

$(\backslash$alpha $^(2))/(5\mathrm{.}2)+(\backslash$beta $^(2))/(4\mathrm{.}0)=1$

a$\backslash$eta for this wave.

bx$=3($L$)/(4).$ At t$=0,$ find its velocity.

Q$3$P$=124$k$($N$)/($m$^(2))$ is measured by a subsurface pressure gauge

located in salt water $0\mathrm{.}6$ meter above the bed in depth d$=12$m$.$ The average frequency f$=0\mathrm{.}06666$

Hz $.$ Find the height $($H$)$ of the wave.

Q$4$d$\_($b$)=2\mathrm{.}0$m and seabed slope is $(1)/(20).$ Find the breaker height $($H$\_($b$))$ and the deep$-$water wave height

$($H$\_(0)).$

Q$5$Hs$=2$m$,$T$=6\mathrm{.}5$sec$,\backslash$alpha $=15\backslash$deg $,$ all observed in $20$ m of water

depth, calculate the wave height to be expected at Points A$,$BA$,$B$,$

and C is also $5$ m $.$