Homework Answers
Waves can able to erode up to that depth up to which the wave exists. The depth of the wave is can be determined by the simple formula, wave base= wavelenfth/2
By this we can know the wave base, so the depth of erosion can be determined. In the deeper ocean, the wave base is circular because it can't touch the ground, but at a shallower depth, it becomes elliptical as it feels the bottom. These elliptical wave base can cause erosion.
That's why at shallower water wave can make erosion while at deeper water it can't.
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25.The plane or depth to which waves may erode the bottom of the ocean in shallow water? 25.The plane or depth...
Problem 1: The speed of shallow water waves in the ocean (e. g. seismic sea waves...
Problem 1: The speed of shallow water waves in the ocean (e. g. seismic sea waves or tsunamis) depends only on the still water depth and the acceleration due to gravity. Derive an expression for wave speed.
Problem 16.85 A water wave is a shallow-water wave if the water depth d is less...
Problem 16.85 A water wave is a shallow-water wave if the water depth d is less than λ/10. It is shown in hydrodynamics that the speed of a shallow-water wave is /gd, so waves slow down as they move into shallower water. Ocean waves, with wavelengths of typically 110 m, are shallow-water waves when the water depth is less than 11 m Consider a beach where the depth increases linearly with distance from the shore until reaching a depth of...
Review | Constants Part A A water wave is a shallow-water wave if the water depth...
Review | Constants Part A A water wave is a shallow-water wave if the water depth d is less than ~ 1/10. It is shown in hydrodynamics that the speed of a shallow-water wave is v= Vgd, so waves slow down as they move into shallower water. Ocean waves, with wavelengths of typically 110 m , are shallow-water waves when the water depth is less than 11 m. Consider a beach where the depth increases linearly with distance from the...
Kelvin waves The linearized shallow-water equations for a fluid of constant depth Ho on a f-plane...
Kelvin waves The linearized shallow-water equations for a fluid of constant depth Ho on a f-plane (f-const.) are dr) ot dv ot Эт Assume that there is a continent in the half-plane x20 (that is, the y-axis of the coordinate system is a lateral boundary). Find a wave solution with -0 everywhere (that automatically fulfills the condition of no flow through the boundary. Try a solution of the form n(x,yt) F(x)explily-or) You have to determine the function Fix) and the...
A swimming pool is 20 ft wide and 40 ft long and its bottom is an inclined plane, the shallow end having a depth of 3 ft...
A swimming pool is 20 ft wide
and 40 ft long and its bottom is an inclined plane, the shallow end
having a depth of 3 ft and the deep end, 10 ft. Assume the pool is
full of water. (Round your answers to the nearest whole number.
Recall that the weight density of water is 62.5 lb/ft3.)
swimming pool is 20 ft wide and 40 ft long and its bottom is an inclined plane, the shallow end having a...
A depth sounding vessel surveys the ocean bottom with ultrasonic sound that travels 1523 m/s in...
A depth sounding vessel surveys the ocean bottom with ultrasonic sound that travels 1523 m/s in seawater. How deep is the water, if the time delay of the echo from the ocean floor is 6.2 s? The time delay is the time it takes the sound to travel from the sound source to the ocean floor and back to the source.
6. Use dimensional analysis to show that in a problem involving shallow water waves (Fig. P7-...
6. Use dimensional analysis to show that in a problem involving shallow water waves (Fig. P7- 87), both the Froude number and the Reynolds number are relevant dimensionless parameters. The wave speed c of waves on the surface of a liquid is a function of depth h, gravitational acceleration g, fluid density r, and fluid viscosity m. Manipulate your P's to get the parameters into the following form: pch Fr f(Re) where ReD gh ?, ?
assuming small amplitude ( n p lane waves Consider a quiescent body of water of depth...
assuming small amplitude ( n p lane waves Consider a quiescent body of water of depth has shown in Fig. 4. A small amplitude plane wave I travelling along the surface of the water with velocity c. The form of waves is taken to be sodal in which the amplitude of the wave is and its wavelength is i. The equation of the free surface will be y (x ) = sin (x-e!) If the value of s , and...
Question 4. (25%) Surface gravity waves: (a) Write down the expression for phase speed c for surf...
Question 4. (25%) Surface gravity waves: (a) Write down the expression for phase speed c for surface gravity waves if their wavelength λ is much shorter than the water depth. Are these 'deep- water' waves or 'shallow water' waves? Explain briefly. (b) Write the expression for wavenumber k in terms of wavelength λ. (c) Evaluate the phase speeds for a wavelength of 10 meters, and for a wavelength of 500m. (d) Using these results, suppose the waves are generated by...
(25pts) In studying sand transport by ocean waves, it was postulated that the threshold wave-induced bottom...
(25pts) In studying sand transport by ocean waves, it was postulated that the threshold wave-induced bottom shear stress t required to move particles depends on gravity g, particle size d, particle density Pp , water viscosity u and water density p. Find all the dimensionless, i.e., pi groups for this problem. Consider p, g, d as repeating variables. Write all the quantities in terms of the primary dimensions, i.e. M, L, T. For example, the dimension of viscosity u is...
Problem 1: The speed of shallow water waves in the ocean (e. g. seismic sea waves or tsunamis) depends only on the still water depth and the acceleration due to gravity. Derive an expression for wave speed.
Problem 16.85 A water wave is a shallow-water wave if the water depth d is less than λ/10. It is shown in hydrodynamics that the speed of a shallow-water wave is /gd, so waves slow down as they move into shallower water. Ocean waves, with wavelengths of typically 110 m, are shallow-water waves when the water depth is less than 11 m Consider a beach where the depth increases linearly with distance from the shore until reaching a depth of...
Review | Constants Part A A water wave is a shallow-water wave if the water depth d is less than ~ 1/10. It is shown in hydrodynamics that the speed of a shallow-water wave is v= Vgd, so waves slow down as they move into shallower water. Ocean waves, with wavelengths of typically 110 m , are shallow-water waves when the water depth is less than 11 m. Consider a beach where the depth increases linearly with distance from the...
Kelvin waves The linearized shallow-water equations for a fluid of constant depth Ho on a f-plane (f-const.) are dr) ot dv ot Эт Assume that there is a continent in the half-plane x20 (that is, the y-axis of the coordinate system is a lateral boundary). Find a wave solution with -0 everywhere (that automatically fulfills the condition of no flow through the boundary. Try a solution of the form n(x,yt) F(x)explily-or) You have to determine the function Fix) and the...
A swimming pool is 20 ft wide
and 40 ft long and its bottom is an inclined plane, the shallow end
having a depth of 3 ft and the deep end, 10 ft. Assume the pool is
full of water. (Round your answers to the nearest whole number.
Recall that the weight density of water is 62.5 lb/ft3.)
swimming pool is 20 ft wide and 40 ft long and its bottom is an inclined plane, the shallow end having a...
6. Use dimensional analysis to show that in a problem involving shallow water waves (Fig. P7- 87), both the Froude number and the Reynolds number are relevant dimensionless parameters. The wave speed c of waves on the surface of a liquid is a function of depth h, gravitational acceleration g, fluid density r, and fluid viscosity m. Manipulate your P's to get the parameters into the following form: pch Fr f(Re) where ReD gh ?, ?
assuming small amplitude ( n p lane waves Consider a quiescent body of water of depth has shown in Fig. 4. A small amplitude plane wave I travelling along the surface of the water with velocity c. The form of waves is taken to be sodal in which the amplitude of the wave is and its wavelength is i. The equation of the free surface will be y (x ) = sin (x-e!) If the value of s , and...
Question 4. (25%) Surface gravity waves: (a) Write down the expression for phase speed c for surface gravity waves if their wavelength λ is much shorter than the water depth. Are these 'deep- water' waves or 'shallow water' waves? Explain briefly. (b) Write the expression for wavenumber k in terms of wavelength λ. (c) Evaluate the phase speeds for a wavelength of 10 meters, and for a wavelength of 500m. (d) Using these results, suppose the waves are generated by...
(25pts) In studying sand transport by ocean waves, it was postulated that the threshold wave-induced bottom shear stress t required to move particles depends on gravity g, particle size d, particle density Pp , water viscosity u and water density p. Find all the dimensionless, i.e., pi groups for this problem. Consider p, g, d as repeating variables. Write all the quantities in terms of the primary dimensions, i.e. M, L, T. For example, the dimension of viscosity u is...
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