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phy221 tutorial kit - Covenant University
phy221 tutorial kit - Covenant University

... 19. The entry pressure of fluid flowing through a pitot tube is 1250 Pas, the pressure is 1710 Pas. Given the density of the fluid is 850kg/m3 , Determine the entry velocity of the fluid into the pitot tube and the stagnation head. 20. A Venturimeter with an entrance diameter of 0.3m and a throat di ...
Fluid Dynamics
Fluid Dynamics

Fluid Mechanics Primer
Fluid Mechanics Primer

PHYSICS UNIT 1 OUTLINE
PHYSICS UNIT 1 OUTLINE

... Plot and describe the motion from a distance, displacement, velocity, or acceleration graph given the data. Calculate slopes and areas for the above graphs when acceleration is constant. Plot displacement or acceleration from a velocity graph, and plot velocity from a displacement or acceleration gr ...
Vector Integration : Stokes`s Theorem
Vector Integration : Stokes`s Theorem

... circulation of a vector field around the boundary of an oriented surface of space in the direction counterclockwise with respect to the surface‘s unit normal vector field n equals the integral of the normal component of the curl of the field over the surface. ...
BioFluids Lecture 3: Flagellar swimming – resistive
BioFluids Lecture 3: Flagellar swimming – resistive

... We can attempt to describe the motion of a general body by distributions of dipole and Stokeslet singularities over its surface. More useful when considering flagellum driven swimming is the motion of a long thin cylinder, of radius a. Physically, we might regard the effect of a thin cylinder moving ...
SOL 5.2 a, b, c March 6, 2011 Sound Notes Sound is a form of
SOL 5.2 a, b, c March 6, 2011 Sound Notes Sound is a form of

Telluric Electric Wave Transmission and Reception
Telluric Electric Wave Transmission and Reception

Fluid Mechanics: Fluid mechanics may be defined as that branch of
Fluid Mechanics: Fluid mechanics may be defined as that branch of

... ● Expression above calculates the approximate capillary rise in a small tube. ● The meniscus lifts a small amount of liquid near the tube walls, as r increases this amount may become insignificant. ● Thus, the equation developed overestimates the amount of capillary rise or depression, particularly ...
case-study-teaching-material-intro-to
case-study-teaching-material-intro-to

... Therefore, when fluid passes over a stationary body forcing the streamlines to get closer together, the velocity must increase (as the area decreases), and therefore the pressure decreases. This is how an airfoil works, the flow over the top surface is faster than the flow over the bottom surface, t ...
Critical flow in rockbed streams with estimated values for Manning`s
Critical flow in rockbed streams with estimated values for Manning`s

... of critical flow conditions sooner near the wall. Altogether, the sidewall shock waves are dominant features of undular jumps ŽChanson and Montes, 1995a,b,Montes and Chanson, 1998. and they result from the interactions between the sidewall boundary layers and the bed boundary layer. In natural chann ...
Hydraulic Flow Chart
Hydraulic Flow Chart

... For PE80 Water Pipe in nominal pipe diameters 20 to 63mm The following hydraulic chart has been prepared to aid designers in the correct sizing of small diameter PE80 pipes. When undertaking hydraulic design of water pipelines, it is common to use the Colebrook-White equation, which enables the mean ...
On fluid flow induced by a rotating magnetic field
On fluid flow induced by a rotating magnetic field

... the condition for the consistency of this derivation is ...
202 DragMoment
202 DragMoment

... The idea that viscous forces in regions of potential flow may come even to dominate the dissipation of energy seems to have been advanced first by Lamb [1924] who showed that in some cases of wave motion the rate of dissipation can be calculated with sufficient accuracy by regarding the motion as i ...
Viscosity Measurement - Northern Illinois University
Viscosity Measurement - Northern Illinois University

... process. The velocity of flow units within the fluid will vary, depending on location. Consider a liquid between two closely spaced parallel plates as shown in Figure 30.1. A force, F, applied to the top plate causes the fluid adjacent to the upper plate to be dragged in the direction of F. The appl ...
Buoyancy and fluid flow
Buoyancy and fluid flow

Modeling, Simulating and Rendering Fluids
Modeling, Simulating and Rendering Fluids

Tripura Bojjawar BIEN 501 Physiological
Tripura Bojjawar BIEN 501 Physiological

... Q2)A fluid has absolute viscosity of 0.048Pa s . If at a point A , 75mm from the wall the velocity is measured as 1.125 m/s, calculate the intensity of shear stress at a point B 50mm from the wall in N/m².Assume a linear (straight line ) velocity distribution from the wall. ...
Coasts – The essentials
Coasts – The essentials

Experimental demonstration of the supersonic
Experimental demonstration of the supersonic

... exotic forms such as polygones [4], through variations of the surface tension [5] or when the liquid flows over microtextured surfaces [6], has been studied experimentally but a solid understanding at the theoretical level is still in its infancy. Even for the simple circular jump in a viscous fluid ...
How we arrive at a steady state/linear velocity profile, i.e., = constant
How we arrive at a steady state/linear velocity profile, i.e., = constant

... no flow) state to the steady-state/equilibrium linear velocity profile. A good analogy to this would be geostrophic balance which, like the expression above, is a diagnostic relationship (i.e., no time dependency) -- and thus it does not predict how the flow became geostrophic! Anyway, clearly in th ...
PDF - compatibile with Acrobat 4.0
PDF - compatibile with Acrobat 4.0

... usually superimposed on the long waves, which form a background for them. Hwang & Shemdin (1988) examined the influence of the presence of a long ocean swell and unstable stratification at the air-sea interface on the sea surface roughness. The data from their TOWARD experiment showed that the mean sq ...
Chapter 2
Chapter 2

... For Newtonian fluids (most common fluids, such as water and air), experiments have found that the shear stress as applied is directly proportional to the rate of deformation: ...
Dimensional Analysis
Dimensional Analysis

... 11) The thrust (T) of a propeller is assumed to depend on the axial velocity of the fluid (V), the density (p) and viscosity (µ) of fluid, the rotational speed (N) rpm, and the diameter of the propeller (D). Find the relationship for T by using dimensional analysis. 12) The force F exerted by a flow ...
Fully Developed Couette Flow - Pharos University in Alexandria
Fully Developed Couette Flow - Pharos University in Alexandria

... Parallel flow, V=0 Incompressible, Newtonian, laminar, constant properties No pressure gradient 2D, W=0, /z = 0 Gravity acts in the -z direction, ...
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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.
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