... Hydrodynamics – OptimizingMethodsand Tools, Edited by Harry Edmar Schulz, André Luiz Andrade Simões and Raquel Jahara Lobosco p cm ISBN 978-953-307-712-3 free online editions of InTech Books and Journals ... Hydrodynamics – OptimizingMethodsandTools Edited by Harry Edmar Schulz, André Luiz Andrade Simões and Raquel Jahara Lobosco Published by InTech Janeza ... equations and procedures followed to study fluid motion, the books “Fundamentals of Hydro and Aerodynamics“ and “Applied Hydro and Aerodynamics“ by Prandtl and Tietjens (1934) present the theory and...
... multi-field data is being explored using clustering and cluster visualization 26 24 Hydrodynamics – OptimizingMethodsandTools Will-be-set-by-IN-TECH methods Coordinated or integrated views to parallel ... is the best candidate for this application 32 Hydrodynamics – OptimizingMethodsandTools Will-be-set-by-IN-TECH In the DEM-SPH coupling, a multiphase DEM-SPH model is proposed and described ... 20 Hydrodynamics – OptimizingMethodsandTools Will-be-set-by-IN-TECH 18 Since it can be shown that || Π( x ) − Π(y)||1 ≤ || x − y||1 (17) for any d-dimensional points x and y, the distance...
... Hydrodynamics – OptimizingMethodsandTools dv dt Pout Pin L d2 v (34) dy where Pin , Pout - the pressure at Г and Г accordingly; , , L are the density, dynamic viscosity and the channel ... ) p(0) d where p(0) is initial pressure and p(T ) is the pressure at any other moment T (31) 58 Hydrodynamics – OptimizingMethodsandTools In the numerical computations the value of ... et al., 2008): pin v i t , (24) 56 Hydrodynamics – OptimizingMethodsandTools where the velocity divergence at right hand side of above equation is calculated using formula (14) The...
... Function and A can be any scalar field or continuous function The small difference between the equation (10) and the standard equation that uses 90 Hydrodynamics – OptimizingMethodsandTools mj/i ... = 1.0 mm/ms and We = 4.5 The time scale is given in milliseconds 93 94 Hydrodynamics – OptimizingMethodsandTools From the values of density, relative velocity, droplet diameter and surface ... – OptimizingMethodsandTools This wave front begins to form little satellite drops and increases its amplitude until t=1.8x10-3ms There is no substantial growth of these satellite drops and...
... in the right hand side is zero We also know that ∇ · ω = and therefore we have 114 Hydrodynamics – OptimizingMethodsandTools Will-be-set-by-IN-TECH ∇ · (∇λ × ∇μ ) = (34) h= (35) and we finally ... (65) 118 Hydrodynamics – OptimizingMethodsandTools Will-be-set-by-IN-TECH 10 where w is the enthalpy and ρ the density field For this work we will consider, for simplicity and without loss of generality, ... representation Eq (58) as 122 Hydrodynamics – OptimizingMethodsandTools Will-be-set-by-IN-TECH 14 μ i = x i + μ ip , (88) λi and the other fields and φ in Eq (58) are periodic In order to we...
... analytical (Rathjen & Jiji, 1971) and numerical (LB) (Jiaung et al., 2001; Lin & Chen, 1997) solutions are available in the 140 Hydrodynamics – OptimizingMethodsandTools literature is now presented ... of (a) interface position and (b) isotherm at t 0.25 for the twodimensional solidification problem (Chatterjee, 2010) 141 142 Hydrodynamics – OptimizingMethodsandTools by employing a LB model ... (dotted line) and continuum based numerical simulation (Brent et al., 1988) predictions (solid line) (Chakraborty & Chatterjee, 2007) 144 Hydrodynamics – OptimizingMethodsandTools Fig Schematic...
... where ρ and μ are density and viscosity, respectively Choice of the velocity scale u s and geometric scale ls depends on the given problem 176 Hydrodynamics – OptimizingMethodsandTools Will-be-set-by-IN-TECH ... bubble growth and departure to some extent 170 Hydrodynamics – OptimizingMethodsandTools Fig Propagation of temperature field 3.4.4 Characteristics of two bubbles growth on and departure ... V and pressure P as sum of 194 Hydrodynamics – OptimizingMethodsandTools Will-be-set-by-IN-TECH 20 two functions ˆ V = CV + V, ˆ P = CP + P , where discrete analogues of the functions C V and...
... segregated algorithms and pure density-based approach on structured grids Proposed method does not require preconditioners and relaxation 200 26 Hydrodynamics – OptimizingMethodsandTools Will-be-set-by-IN-TECH ... – OptimizingMethodsandTools following algorithm Let us formulate the Cohonen neural network with three inlet variables presented by the coordinates of available computation nodes x and y, and ... of input Fig Neural network computing structure 202 Hydrodynamics – OptimizingMethodsandTools variables are distributed and "move" along the connections of the corresponding input together...
... 3.8 Synthetic discharge difference and system response for different periods of oscillation 600 240 Hydrodynamics – OptimizingMethodsandTools periods: 60 and 120 seconds Fig 3.8b presents the ... us vs ws t x y (3) 248 Hydrodynamics – OptimizingMethodsandTools where S and the subscript, s, denote the free surface elevation and velocity components at the surface, respectively ... slope (using the dimensions of the physical model) and the recorded one at the physical model, for a case 234 Hydrodynamics – OptimizingMethodsandTools with a relatively low initial head difference...
... 276 Hydrodynamics – OptimizingMethodsandTools 4.3 Helical secondary current and submerged weirs Fig 17 shows a plan view of the simulated 3D flow and comparison of computed and measured secondary ... the weir and show a similar pattern: the contour lines align parallel to the weirs and widen near the tips of the weirs This distribution 268 Hydrodynamics – OptimizingMethodsandTools W 2.08 ... channel and the display cross-sections 260 Hydrodynamics – OptimizingMethodsandTools The cross-sections in Fig are from upstream (Fig 9a) to downstream (Fig 9k), with the outer bank on the left and...
... (3) m (4) 314 Hydrodynamics – OptimizingMethodsandTools where H is the vapour enthalpy, H and hi are the overall and convective heat transfer coefficients, and m is the membrane thermal ... interface and it is based on convective schemes The volume fraction are bounded between the values and (values that correspond to the two limiting phases) 294 Hydrodynamics – OptimizingMethodsandTools ... Hydrodynamics – OptimizingMethodsandTools Bubbles and drops were “formed” in the numerical simulations, as shown in Fig 16 However, the sizes of both depend of the numerical mesh used, and, in this...
... – OptimizingMethodsandTools Hyd entrance length, LH [m] Parallel-plates channels are the most common structure for plate -and- frame modules They are simple, and easy to assemble In plate -and- frame ... Conditions (a) and (b) are gas-water system, (c) and (d) are time-course in the hydrate formation, hydrate slurry and hydrate plug (Tajima et al., 2007) 342 Hydrodynamics – OptimizingMethodsandTools ... tube -and- shell heat 322 Hydrodynamics – OptimizingMethodsandTools exchanger In most industrial modules, however, the distribution of capillary is far more arbitrary; the capillaries are randomly...
... submerged impinging jets and close-circuit loops have been used and have been important in the improvement of the 354 Hydrodynamics – OptimizingMethodsandTools understanding of the corrosion ... Hydrodynamics – OptimizingMethodsandTools concentric tubes of the WSA by a circulating pump, and finally sprayed into the airflow field Waste gas exits out through the center gas tube in the WSA and tangentially ... porous and rough hydrate particle/film formation and the intermediate case between Cases A and C Hydrate particles and partial hydrate film are formed on bubble surface The film pore and void...
... equations for primary and secondary phases include the balance of transport, diffusion, heat sources and (optionally) viscous heating: 404 Hydrodynamics – OptimizingMethodsandTools T ... pole P and electric potential at other pole P+ are specified: jn , x P ; , x P n (26) 406 Hydrodynamics – OptimizingMethodsandTools At the coupled boundary of electrode and ... experimental setup and then added different dosages of Ca(OH)2 powder under proper stirring to form a suspension with a pH higher than 11 Then 388 Hydrodynamics – OptimizingMethodsandTools the air...
... the cross profile of vertical component of a velocity and in somewhat may effect the mass flow 410 Hydrodynamics – OptimizingMethodsandTools rate in the interelectrode gap There exists several ... region of small , the motion of a gas phase is 412 Hydrodynamics – OptimizingMethodsandTools determined only by their buoyancy and the carrier flow The vertical component of gradient of may ... 1987 3D turbulence structure and phase distribution measurements in bubbly two-phase flows Int J Multiphase Flow 13, 327–343 420 Hydrodynamics – OptimizingMethodsandTools van Wijngaarden L (1976)...
... Function and A can be any scalar field or continuous function The small difference between the equation (10) and the standard equation that uses 90 Hydrodynamics – OptimizingMethodsandTools mj/i ... = 1.0 mm/ms and We = 4.5 The time scale is given in milliseconds 93 94 Hydrodynamics – OptimizingMethodsandTools From the values of density, relative velocity, droplet diameter and surface ... – OptimizingMethodsandTools This wave front begins to form little satellite drops and increases its amplitude until t=1.8x10-3ms There is no substantial growth of these satellite drops and...
... where ρ and μ are density and viscosity, respectively Choice of the velocity scale u s and geometric scale ls depends on the given problem 176 Hydrodynamics – OptimizingMethodsandTools Will-be-set-by-IN-TECH ... bubble growth and departure to some extent 170 Hydrodynamics – OptimizingMethodsandTools Fig Propagation of temperature field 3.4.4 Characteristics of two bubbles growth on and departure ... V and pressure P as sum of 194 Hydrodynamics – OptimizingMethodsandTools Will-be-set-by-IN-TECH 20 two functions ˆ V = CV + V, ˆ P = CP + P , where discrete analogues of the functions C V and...
... segregated algorithms and pure density-based approach on structured grids Proposed method does not require preconditioners and relaxation 200 26 Hydrodynamics – OptimizingMethodsandTools Will-be-set-by-IN-TECH ... – OptimizingMethodsandTools following algorithm Let us formulate the Cohonen neural network with three inlet variables presented by the coordinates of available computation nodes x and y, and ... of input Fig Neural network computing structure 202 Hydrodynamics – OptimizingMethodsandTools variables are distributed and "move" along the connections of the corresponding input together...
... 3.8 Synthetic discharge difference and system response for different periods of oscillation 600 240 Hydrodynamics – OptimizingMethodsandTools periods: 60 and 120 seconds Fig 3.8b presents the ... us vs ws t x y (3) 248 Hydrodynamics – OptimizingMethodsandTools where S and the subscript, s, denote the free surface elevation and velocity components at the surface, respectively ... slope (using the dimensions of the physical model) and the recorded one at the physical model, for a case 234 Hydrodynamics – OptimizingMethodsandTools with a relatively low initial head difference...
... 276 Hydrodynamics – OptimizingMethodsandTools 4.3 Helical secondary current and submerged weirs Fig 17 shows a plan view of the simulated 3D flow and comparison of computed and measured secondary ... the weir and show a similar pattern: the contour lines align parallel to the weirs and widen near the tips of the weirs This distribution 268 Hydrodynamics – OptimizingMethodsandTools W 2.08 ... channel and the display cross-sections 260 Hydrodynamics – OptimizingMethodsandTools The cross-sections in Fig are from upstream (Fig 9a) to downstream (Fig 9k), with the outer bank on the left and...