fluid_pr
... At great heights from the sea level it is not possible to consider air to be continuous. The molecular mean free path may be of the same order of magnitude as the body dimensions. Eg., at an altitude of 130 km the mean free path of air is 10.2m. Then it becomes important to consider individual or gr ...
... At great heights from the sea level it is not possible to consider air to be continuous. The molecular mean free path may be of the same order of magnitude as the body dimensions. Eg., at an altitude of 130 km the mean free path of air is 10.2m. Then it becomes important to consider individual or gr ...
Long Internal Waves of Finite Amplitude
... richer class of phenomena. This is reflected by the need of introducing at least another independent nondimensional parameter, the thickness ratio g h2 yh1 for an upper lighter fluid layer of thickness h1 (and density r1 ) and a lower heavier fluid of thickness h2 (and density r2 ), when the densi ...
... richer class of phenomena. This is reflected by the need of introducing at least another independent nondimensional parameter, the thickness ratio g h2 yh1 for an upper lighter fluid layer of thickness h1 (and density r1 ) and a lower heavier fluid of thickness h2 (and density r2 ), when the densi ...
11-3 - Physics
... Shaking (vibration) as specific frequency Pushing child on swing glass Tacoma Narrows Bridge ! Every object has its natural frequencies ...
... Shaking (vibration) as specific frequency Pushing child on swing glass Tacoma Narrows Bridge ! Every object has its natural frequencies ...
MMV211, March 9, 2005 P1. The figure below shows a vane with a
... Given: water, 40◦ C; θ = 60◦ ; A = 30 cm2 ; V = 30 m/s (jet); U = 10 m/s (vane). Sought: horizontal braking force, Rx Consider a control volume (CV) that is fixed to the moving vane, which means that the flow through CV can be considered to be stationary; liquid flow means incompressible flow. Let c ...
... Given: water, 40◦ C; θ = 60◦ ; A = 30 cm2 ; V = 30 m/s (jet); U = 10 m/s (vane). Sought: horizontal braking force, Rx Consider a control volume (CV) that is fixed to the moving vane, which means that the flow through CV can be considered to be stationary; liquid flow means incompressible flow. Let c ...
Part42
... moving, but we can describe the crest with a phase angle (crest is where phase angle = 90o), so Speed of wave = phase speed = v = distance/time = l/T = lf = w/k. Note that the phase speed is not the same as the speed of material that is moving up and down. ...
... moving, but we can describe the crest with a phase angle (crest is where phase angle = 90o), so Speed of wave = phase speed = v = distance/time = l/T = lf = w/k. Note that the phase speed is not the same as the speed of material that is moving up and down. ...
Inertial Oscillations
... where now the angle is the angle that the group velocity makes with the horizontal. ] This more complete dispersion relation makes it clear that the minimum frequency for internal waves is the inertial frequency, f. For this limit, the angle that the wavenumber vector makes with the horizontal is ...
... where now the angle is the angle that the group velocity makes with the horizontal. ] This more complete dispersion relation makes it clear that the minimum frequency for internal waves is the inertial frequency, f. For this limit, the angle that the wavenumber vector makes with the horizontal is ...
Transformation of Internal Waves at the Bottom Ledge
... in the region with the depths h1 and h2 , respectively (see figure 1. In the case of surface waves the upper layer of infinitely large thickness h0 has negligibly small density ρ0 , and the interface η(t, x) plays a role of the free surface). In the long waves approximation the phasepand group speed ...
... in the region with the depths h1 and h2 , respectively (see figure 1. In the case of surface waves the upper layer of infinitely large thickness h0 has negligibly small density ρ0 , and the interface η(t, x) plays a role of the free surface). In the long waves approximation the phasepand group speed ...
Document
... The sink of momentum at the surface can also be seen as an horizontal force exerted by the flow on the surface (drag force) in the direction of the mean flow. The opposing force exerted by the surface on the fluid retards the flow. ...
... The sink of momentum at the surface can also be seen as an horizontal force exerted by the flow on the surface (drag force) in the direction of the mean flow. The opposing force exerted by the surface on the fluid retards the flow. ...
Sample problems
... Problem 2 Water of constant density =1000kg/m3 flows through a horizontal 2-D channel shown in Fig.2.2. The flow is in steady state. The entrance of the pipe has a height of H1=2m and the outlet has H2=4m. The velocity is uniform (u1 = 1m/s) at inlet. The flow at outlet is laminar and fully develop ...
... Problem 2 Water of constant density =1000kg/m3 flows through a horizontal 2-D channel shown in Fig.2.2. The flow is in steady state. The entrance of the pipe has a height of H1=2m and the outlet has H2=4m. The velocity is uniform (u1 = 1m/s) at inlet. The flow at outlet is laminar and fully develop ...
Vibrations and Waves
... • Two traveling waves can meet and pass through each other without being destroyed or even altered • Waves obey the Superposition Principle – When two or more traveling waves encounter each other while moving through a medium, the resulting wave is found by adding together the displacements of the i ...
... • Two traveling waves can meet and pass through each other without being destroyed or even altered • Waves obey the Superposition Principle – When two or more traveling waves encounter each other while moving through a medium, the resulting wave is found by adding together the displacements of the i ...
sinusoidal wave
... • During one period of the wave, a crest moves a distance equal to one wavelength along the direction of wave motion. The particle at the position of the original crest has completed one cycle of SHM. (Remember that the particles of the medium do not move in the direction of wave motion! They simply ...
... • During one period of the wave, a crest moves a distance equal to one wavelength along the direction of wave motion. The particle at the position of the original crest has completed one cycle of SHM. (Remember that the particles of the medium do not move in the direction of wave motion! They simply ...
ENSC 283 Week # 10, Tutorial # 6
... With the velocity distribution known we can determine the flowrate per unit width, ", from the relationship ...
... With the velocity distribution known we can determine the flowrate per unit width, ", from the relationship ...
Questions - HCC Learning Web
... the marks for this HW will be based on these only. Chapters 15 : OSCILLATORY MOTION ...
... the marks for this HW will be based on these only. Chapters 15 : OSCILLATORY MOTION ...
Lecture: Boundary Value Problem Boundary Value Problem 1 The
... The original Navier-Stokes equations and boundary conditions are now reduced to the set of ODE and corresponding boundary conditions in Equations (7, 8). Usually, the last differential equation for pressure is not solved with the first three. It can be obtained from the solution of F, G, and H. The ...
... The original Navier-Stokes equations and boundary conditions are now reduced to the set of ODE and corresponding boundary conditions in Equations (7, 8). Usually, the last differential equation for pressure is not solved with the first three. It can be obtained from the solution of F, G, and H. The ...
P5waves1
... other particular phase), then q = constant (= 90o for the crest) and we have for the position of that phase angle in time: xq = (q wt - qo)/k and so the phase speed = vq = dxq/dt = w/k . Also, vq = distance/time = /Tp = f = w/k . ...
... other particular phase), then q = constant (= 90o for the crest) and we have for the position of that phase angle in time: xq = (q wt - qo)/k and so the phase speed = vq = dxq/dt = w/k . Also, vq = distance/time = /Tp = f = w/k . ...
Boundary induced streaming
... Question: Is singing biologically feasible? Bacterial flagellar motors are large membrane embedded structures and have been observed to rotate at 300Hz when unloaded. ...
... Question: Is singing biologically feasible? Bacterial flagellar motors are large membrane embedded structures and have been observed to rotate at 300Hz when unloaded. ...
The Ultimate Wave Tahiti Classroom Poster
... at the interface between an island and the open ocean, is a magic zone where the energy of waves breaking in shallow water helps support a rich diversity of life. coral reefs are structures built by living organisms—a synergy of plant and animal life. how is my community like a coral reef? How might ...
... at the interface between an island and the open ocean, is a magic zone where the energy of waves breaking in shallow water helps support a rich diversity of life. coral reefs are structures built by living organisms—a synergy of plant and animal life. how is my community like a coral reef? How might ...
Stokes wave
In fluid dynamics, a Stokes wave is a non-linear and periodic surface wave on an inviscid fluid layer of constant mean depth.This type of modelling has its origins in the mid 19th century when Sir George Stokes – using a perturbation series approach, now known as the Stokes expansion – obtained approximate solutions for non-linear wave motion.Stokes' wave theory is of direct practical use for waves on intermediate and deep water. It is used in the design of coastal and offshore structures, in order to determine the wave kinematics (free surface elevation and flow velocities). The wave kinematics are subsequently needed in the design process to determine the wave loads on a structure. For long waves (as compared to depth) – and using only a few terms in the Stokes expansion – its applicability is limited to waves of small amplitude. In such shallow water, a cnoidal wave theory often provides better periodic-wave approximations.While, in the strict sense, Stokes wave refers to progressive periodic waves of permanent form, the term is also used in connection with standing waves and even for random waves.