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
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
In this experiment, the velocity profile for a flat plate at zero pressure gradient of a boundary layer at two different stream wise points were acquired. The investigation was also based on and how changes in Reynolds number affect the velocity distribution within boundary layers. Parameters such as the Momentum Thickness, Displacement Thickness, Shape Factor, shear stress and coefficient of friction was also calculated to gain a better understand of boundary layers. The experimental values calculated were compared to the theoretical Blasius for laminar flow and Power Law Solutions for turbulent flow to see how they varied. It was found out the higher the Reynolds number the greater the boundary layer thickness. As the
[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.
When it cools, you have hard candy. Pop Rocks are made by, combining the hot sugar substances with carbon dioxide gas. Once it cools, you release the pressure and the candy shatters, but the pieces still contain the high-pressure bubbles. If you look at Pop Rocks under a microscope, you will see the the tiny bubbles that are
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.
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.
(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.
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
In most of the previous works, the main focus was on the calculation of turbulent transport in a stationary state in a forced turbulence. Different models of turbulence such as 2D and 3D hydrodynamics and magnetohydrodynamic turbulence with/without rotation and stratification as well as different types of shear flows (e.g., linear, oscillatory, and stochastic shear flows) (-- removed HTML --) (-- removed HTML --) 5–9 (-- removed HTML --) (-- removed HTML --) were considered previously. In comparison, much less work was done on the effect of shear flows on the dynamics/time-evolution of turbulence, more precisely, how the enhanced/accelerated dissipation is manifested in time-evolution. A clear manifestation of shear flow effects on the dynamics seems especially important, given an ongoing controversy over the role of a shear flow in transport reduction, e.g., whether it is due to the reduction in cross phase (via an increased memory, as caused by waves) or the reduction in the amplitude of turbulence via enhanced dissipation (e.g., see Refs. (-- removed HTML --) 16 (-- removed HTML --) and (-- removed HTML --) 20 (-- removed HTML --) and references therein). A decaying turbulence provides us with an excellent framework in which this can be investigated in depth. We thus consider a simple decaying two-dimensional hydrodynamic turbulence model and examine the transient relaxation of the vorticity by different
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.
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