Water Wave Mechanics For Engineers And Scientists Solution Manual -

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Water Wave Mechanics For Engineers And Scientists Solution Manual -

5.1 : A wave with a wave height of 5 m and a wavelength of 100 m is approaching a beach with a slope of 1:20. What is the breaking wave height?

5.2 : A wave with a wave height of 2 m and a wavelength of 50 m is running up on a beach with a slope of 1:10. What is the run-up height?

3.1 : A wave with a wavelength of 100 m and a wave height of 2 m is traveling in water with a depth of 10 m. What is the wave speed? What is the run-up height

1.1 : What is the difference between a water wave and a tsunami?

Solution: The reflection coefficient for a vertical wall is: $K_r = -1$. What is the run-up height

Solution: Using the dispersion relation, we can calculate the wave speed: $c = \sqrt{\frac{g \lambda}{2 \pi} \tanh{\frac{2 \pi d}{\lambda}}} = \sqrt{\frac{9.81 \times 100}{2 \pi} \tanh{\frac{2 \pi \times 10}{100}}} = 9.85$ m/s.

Solution: The boundary conditions are: (1) the kinematic free surface boundary condition, (2) the dynamic free surface boundary condition, and (3) the bottom boundary condition. What is the run-up height

Solution: Using the breaking wave criterion, we can calculate the breaking wave height: $H_b = 0.42 \times 5 = 2.1$ m.