MM4TTF: Introduction to Turbulence and Turbulent Flows
Case Study 1: Turbulent Boundary Layer Structure
Turbulent coherent structures are flow patterns that can be distinguished from each other, as opposed to motions such as eddies which are subject to the phenomenon of superpositioning. Several of these occur in the near-wall region:
‘Low speed streaks’ refer to the regions of relatively slow flow spaced out in a pronounced manner. They generally occur ‘between the legs of hairpin vortices, where flow is displaced upward from the surfaces so that it convects low momentum fluid away from the wall.’[2]. Streaks have been found to occur in the sublayer region by Kline and Runstandler (1959)[1] and have been shown to occur at a distance of y+
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Another type of coherent structure are ‘rolls’, which are ‘pairs of counter-rotating streamwise vortices that are the dominant vertical structures in the near-wall region defined by y+ < 100’[2]. They account for streak production also, as the fluid being pushed outwards between the rolls has reduced axial velocity, creating a velocity profile which is inviscidly unstable, and also associate with bursting and lift-up.
‘Bursting’ may be described as a characteristic behaviour of the low-speed streaks. It generally refers to the whole process of a streak undergoing lift-up from near the wall, beginning to oscillate, and subsequently undergoing break-up and ejection
Firstly the streaks slowly begin moving downstream and drifting outwards; this is the process known as ‘lift-up’. After the streak reaches a distance of around y+ = 8-12, it begins to rapidly oscillate, which increases in amplitude as outflow progresses. This ends in a sudden breakup, generally when y+ is between 10-30. After breakup, ‘the streak lifts away from the wall by a vigorous and chaotic motion. This process ‘ejects’ low-speed fluid into a region of the boundary layer with a faster streamwise velocity.’[3]. This process of bursting can be shown graphically, with a representation of a dye streak in a turbulent boundary layer; a typical example is shown below: The pressure gradient has been observed to have an effect on the bursting phenomenon; it has been observed that ‘a positive
[1] Queen Mary University of London, DEN233, Low Speed Aerodynamics, Lab Handout, November 2013, (Accessed on 13th November 2013)
Supplying rocket-controlled hydro airplanes hustling around hemorrhaging side tracks over a all-natural and also vibrant water surface area, Riptide Gp2 hands down a vigorous, enjoyable, and also seemingly sensational rushing structure.
Interlocking shapes, and one of the most important motions, swerve, is the spontaneous and infinitesimally small change of direction in the course of an atom’s downward fall.
To visualize what a sonic boom can look like, you could imagine a boat traveling in the water with the ripples it makes when it moves in the water. A slow riding boat will make the ripples travel around it in all directions, but when traveling at a much faster speed, the ripples of the waves are only seen from behind the boat, unable to get out of the way. When this happens, they are characterized as wakes. How is this compared to a jet flying in the air? Well, when a jet is flying in the atmosphere, sound is produced from all directions, similar how ripples are caused when a boat travels through water. Obviously, sound is traveling a lot faster than the water around a boat. The jet will have to travel at much higher speeds to form a wake. When the jet finally passes the sound barrier, it is traveling faster than the noise around it can travel in front of the jet, therefore wakes are formed and a sonic boom
Assuming no viscous forces present an inviscid model has been used for the calculations. Also from the equation of the Reynolds number Re=ρvl/μ due to Re being really big rearranging and assuming v and l to be constant the viscous force μ =ρvl/Re becomes negligible.
[2] Kinnas, Dynamic Viscosity of Air as a Function of Time, http://www.ce.utexas.edu/prof/kinnas/319lab/Book/CH1/PROPS/GIFS/dynair.gif Accessed on 15/04/2013
Voussoirs are wedge-shaped blocks that are used to form the archivolts of the arch that frames the tympanum of a Roman Church Portal.
Slip-Off Slope: forms on the inside of a meander bend as a result of deposition in the slower flowing water.
Some contributing factors that help make a bubble is the solution that contains glycerin, water, and detergent, the area surrounding the bubble when it is made, and device to make the bubble with. The surface tension is important because it is what holds the bubble together. Surface is an invisible bond that holds the water molecules together because water is a polar molecule. When a bubble is created, the molecules stick together, creating surface tension. When a bubble is created by only water, the surface tension is too much, so you should add some detergent. In order to make a large and strong bubble, add some glycerin in it. Glycerin helps the bubble because it makes the thin layer a bit stronger and it prevent water to evaporate. When you blow the bubble, make sure the solution is clean and the air has some humidity. These factors help the bubble to last longer. In order to make a big bubble, you most have specific ingredients in the bubble solution and specific type of weather, but there is no exact device to blow bubbles the biggest bubble. In only one website, it said that a metal coat hanger with string wrapped around it will create one of the biggest bubble, but to actually know, you must run actual tests to find
(B) Single video frame illustrating a characteristic mosh pit with overlaid velocity field. (C) Speed probability distri- bution function (PDF) for the movie in (B) (circles), the best fit to the 2D Maxwell-Boltzmann speed distribution (solid), and simulated speed distribution (squares). (D) Simulated phase diagram plotting the MASHer RMS angular momen- tum, demonstrating the existence of mosh pits (gas) and circle pits (vortices). (E) Single video frame illustrating a charac- teristic circle pit with overlaid velocity field.
The elements of this design is curved, flowing, angular and thick. The curvature of the walls offer support to the roof, although that is not the
As explained earlier, by using Equation (5) and comparing values for normal channel width having no dots, tortuosity effect can be measured. As the fluid passes through these dots, the length of the contact of wax increases along with the tortuous path, both causing an increase in the channel resistance. This tortuosity increases from 1.34 to 1.54 as the density increases from low to high in case of wax. The high-density value seems to have an almost similar flow profile to the medium density both in the cases of wax and SU-8. This is attributed to the fact that even though the gap between the dots decreased, there are more number of dots than the moving fluid faces, and the tortuous nature of the path significantly decreased.
Two-dimensional, electrically conducting Casson fluid flow over an upper horizontal surface of paraboloid of revolution in a thermally stratified medium is analyzed. The influence of melting heat transfer is accounted by modifying classical boundary condition of temperature. Based on the boundary layer assumptions, suitable similarity transformation is applied to reduce the governing equations to coupled ordinary differential equations corresponding to momentum, energy and concentration equations. These equations along with the boundary conditions are solved numerically by using Runge-Kutta technique along with shooting method. Effects
A soft-sphere experiences a different force within a moving fluid, such as drag, buoyant weight, inertia to motion changes, and electrical interaction forces with nearby pore walls (Sharma & Yortsos, 1987) (Herzig, Leclerc, & Goff, 1970) (Mcdowell-boyer, Hunt, & Itar, 1986). Therefore, these suspended particles in fluid leads to the formation of larger particle aggregates through the collision and adhesion between them and this phenomenon have been called agglomeration. Besides agglomeration, process splitting of large particle aggregates into small aggregate or single particles and called as fragmentation. Most probably these two phenomena’s of agglomeration and fragmentation took place together in a system (Henry, Minier, Pozorski, & Lefèvre, 2013). The physical mechanism that leads to clogging of channel is extremely complicated and still a lot of study is going on to understand its complexcity. The simplest cause of clogging is either particle is entering a smaller size channel as compare to particle size or there is a gradual increase in particles size, which leads to channel blockage (Goldsztein & Santamarina, 2004). Another possibility is arch formation within a channel. Once the particles are in the arching configuration, forces induced by the shear on the arch can hold the particles in place and
Aerodynamics, a subset of fluid dynamics, is the study of the behavior of objects when exposed to air. Hydrodynamics, another subset of fluid dynamics, is very similar to aerodynamics and has similar laws. However, hydrodynamics shows the behavior of liquids instead of gasses. Reynolds Numbers, created by British scientist and engineer Osborne Reynolds, describe the way fluids behave against objects. Bernoulli’s principle, discovered by Daniel Bernoulli, states that faster fluid flow creates lower pressure, and slower fluid flow creates higher pressure.