mathematical model and numerical method
Mathematical theory and numerical methods for gross pitaevskii equations and applications
Ngày tải lên :
10/09/2015, 15:54
... 65 Numerical methods 66 3.6.1 3.6.2 3.7 Numerical method for the quasi-2D equation I 67 Numerical method for the quasi-1D equation 69 Numerical ... dynamics Numerical results show the efficiency and accuracy of the numerical methods The second part is devoted to the coupled GPEs modeling a two component BEC We show the existence and uniqueness ... spectral methods [16, 18–20] Each numerical method has its own advantages and disadvantages The most advantage of spectral method is the high accuracy with very limited grid points For numerical...
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an introduction to programming and numerical methods in matlab - s.r. otto & j.p. denier
Ngày tải lên :
08/04/2014, 09:57
... students to the methods and also provides an viii Preface understanding of their inner workings Why Do We Need Numerical Methods? Mathematics is an elegant and precise subject: however when numerical ... start and end points of the horizontal (from −π/3 to π + π/3) and then the vertical axis (from −1 to 15) The commands xlabel and ylabel add labels to the horizontal and vertical axes and the command ... S.R Otto and J.P Denier An Introduction to Programming and Numerical Methods in MATLAB With 111 Figures S.R Otto, BSc, PhD The R & A St Andrews Fife KY16 9JD Scotland J.P Denier, BSc...
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Heat Transfer Mathematical Modelling Numerical Methods and Information Technology Part 17 pot
Ngày tải lên :
20/06/2014, 01:20
... 630 Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology [24] Forson FK, Nazha MAA, et Rajakaruna H Experimental and simulation studies on a single ... ) + ϕ q′′′ f (1) (2) 632 Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology where c is the specific heat of the solid and c p is the specific heat at constant ... perpendicular to the mean flow velocity 638 Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology aijkm = a jikm and aijkm = aijmk (25) Therefore, only 36 of 81 components...
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Heat Transfer Mathematical Modelling Numerical Methods and Information Technology Part 1 pptx
Ngày tải lên :
20/06/2014, 01:20
... finite-element and finite-volume methods, lattice Boltzmann numerical method, nonstandard finite difference methods, boundary element method and fast X Preface multipole method, quadrature scheme and complex ... reduction method, tinny circular fin method, finite circular fin method and review of data reduction method used for analyzing the heat and mass transfer characteristics of wavy fin -and- tube exchangers ... humidity ratio and temperature of the saturation air is necessary and it is taken a linear variation The influence of Heat Transfer - Mathematical Modelling, Numerical Methods and Information...
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Heat Transfer Mathematical Modelling Numerical Methods and Information Technology Part 2 pot
Ngày tải lên :
20/06/2014, 01:20
... small fluctuations and noises (chaotic situation) and consequently it is impossible to solve the problem 2 34 Heat Transfer Heat Transfer - Mathematical Modelling, Numerical Methods and Information ... h = h1 − h2 and U0 = U01 − U02 48 Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology 16 Heat Transfer If we suppose now that the functions h, q and Ub satisfy ... U ad ) and V ad = L2 (D ; V ad ), and integral with respect to the probability space T D dP , dP is an 30 62 Heat Transfer Heat Transfer - Mathematical Modelling, Numerical Methods and Information...
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Heat Transfer Mathematical Modelling Numerical Methods and Information Technology Part 3 potx
Ngày tải lên :
20/06/2014, 01:20
... 0867-6631, Cracow, Poland (in Polish) 100 Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology Tan, K S & Spinner, I.,H (1984) Numerical methods of solution for ... N and N are given by N1 = h1 Awrg m1 c p , N2 = ho Azrg m2 c p , 80 Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology The time constants τ , τ w , τ f , and ... function of time t and will be ⎣ ⎦ determined sequentially with a time step ΔtB = tM – tM-1 The method developed in the 94 Heat Transfer - Mathematical Modelling, Numerical Methods and Information...
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Heat Transfer Mathematical Modelling Numerical Methods and Information Technology Part 4 potx
Ngày tải lên :
20/06/2014, 01:20
... 10 110 Heat Transfer Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology Rosseland average or Rosseland mean (cf Siegel & Howell (1992)) (eff) κE = ... Transfer - Mathematical Modelling, Numerical Methods and Information Technology the reviews of Rappaz (1989) and Viskanta (1990) In the last few decades intensive studies have been made to model various ... Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology Numerical applications The aim of these present experiments is to validate the developed numerical code We...
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Heat Transfer Mathematical Modelling Numerical Methods and Information Technology Part 5 pptx
Ngày tải lên :
20/06/2014, 01:20
... 22 150 Heat Transfer Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology Viskanta, R (1990) Mathematical modeling of transport processes during solidification ... Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology 2.1 An overview of the physical background of lattice Boltzmann models The origin of the physical modeling process ... Malalasekera, 1996), and spectral methods (G Ben-Yu, 1998; O P Le Maitre & O M Knio, 2010) Here we concentrate on both standard and nonstandard finite difference methods Standard FDs are usually...
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Heat Transfer Mathematical Modelling Numerical Methods and Information Technology Part 7 doc
Ngày tải lên :
20/06/2014, 01:20
... (left) and in symmetry plane (right), Н = 63 km 10 248 Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology In Fig 11 and 12 isolines of pressure, heat flux qw and ... test model of Pre-X space 244 Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology vehicle for experimental conditions in the piston gasdynamic wind tunnel Mach and ... Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology Partial derivatives with respect to x, y and z in the components of the viscous stress tensor and in flux terms,...
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Heat Transfer Mathematical Modelling Numerical Methods and Information Technology Part 8 potx
Ngày tải lên :
20/06/2014, 01:20
... Transfer - Mathematical Modelling, Numerical Methods and Information Technology granular bed Since the early 1980s, several numerical approaches have been used to model granular heat transfer methods ... 278 Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology L2 to be constant [Bird et al., 1960; T Crank, 1976], where L and T are the length and time scales, respectively, ... Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology Tavg = 301.92 + 288.624n − 45.05n2 + 2.9n3 (6) where Tavg and n are the average bed temperature and number of...
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Heat Transfer Mathematical Modelling Numerical Methods and Information Technology Part 9 pptx
Ngày tải lên :
20/06/2014, 01:20
... Transfer - Mathematical Modelling, Numerical Methods and Information Technology Note that the right hand side of Eq 18 restricts the solutions of the left hand side to only exist between -1 and However, ... Transfer Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology Fig 3D electron and phonon heat capacities of Au calculated from Eq 68 and 80, respectively For these ... studies on the modeling and model evaluation of fluidized-bed hydrodynamics, only a few works have been published on the CFD modeling and model validation of combined reactor hydrodynamics and heat...
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Heat Transfer Mathematical Modelling Numerical Methods and Information Technology Part 10 potx
Ngày tải lên :
20/06/2014, 01:20
... 384 Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology Alternatively, mathematical modeling has been increasingly accepted as an effective method to study the ... follows: (A14) 374 Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology (A15) ∑ (A16) (A17) and , which The center coefficient ap and the source term b contain the ... drag models with the experimental data for a superficial velocity of Vg = 50 cm/s and position of pressure transducers (P1, P2 and P3) 352 Heat Transfer - Mathematical Modelling, Numerical Methods...
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Heat Transfer Mathematical Modelling Numerical Methods and Information Technology Part 11 pot
Ngày tải lên :
20/06/2014, 01:20
... discrete numerical -model for granular assemblies Geotechnique, 29, 47-65,0016-8505 404 Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology Delvosalle, C & Vanderschuren, ... Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology local HTC is high at sides of the tube around 90° and 270° while it is low at the upstream and downstream of ... or dynamic fluid, and has been extensively investigated experimentally and theoretically in the past Various mathematical models, including continuum models and microscopic models, have been...
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Heat Transfer Mathematical Modelling Numerical Methods and Information Technology Part 12 doc
Ngày tải lên :
20/06/2014, 01:20
... − f μ model and LES predict the 462 Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology flow recirculation region in front of the fuel jet but its size and location ... Transfer - Mathematical Modelling, Numerical Methods and Information Technology fluid jet and its vortices interact in cross-flow manner with the fluid stream in heat sink’s flow passage and perform ... turbulence models and LES Here, the fuel jet center is located at x / D f = , z / D f = , and the combustor wall is located along the top of the figure For turbulence models, the standard k − ε model and...
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Heat Transfer Mathematical Modelling Numerical Methods and Information Technology Part 13 ppt
Ngày tải lên :
20/06/2014, 01:20
... one with both vertical cooler and heater 476 Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology In the case of closed rectangular and toroidal loops with conventional ... ⋅ cos(e , g ) ; and e is a versor of the coordinate around the loop, and τ w - wall shear stress g = g ; e = 1; 478 Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology ... 470 Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology further downward axial position compared with cases A2 and B These phenomena are matched...
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Heat Transfer Mathematical Modelling Numerical Methods and Information Technology Part 14 pot
Ngày tải lên :
20/06/2014, 01:20
... model based 530 Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology on the thermal (central) node theory and the calculations based on the Finite Difference Method ... Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology Therefore the gas flow model of the radial layer formation can be considered as isothermal and stationary The ... C ( nx , ny , nz ) , the surfaces and thermal resistances are stored in vectors and matrixes 548 Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology Although...
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Heat Transfer Mathematical Modelling Numerical Methods and Information Technology Part 15 docx
Ngày tải lên :
20/06/2014, 01:20
... flux to Boussinesq and ideal gas model Ideal gas model 715.37 565.86 465.49 429.57 715.37 576.42 470.07 400.84 558 Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology ... top and bottom corners of the cavity (Ganguli et al., 2009) (a) (b) Fig (a) and (b) Temperature contours in the multi-layer wall 564 Heat Transfer - Mathematical Modelling, Numerical Methods and ... only in the top and bottom of the cavity due to the cellular pattern forms by the natural convection (Violante, 2009) 556 Heat Transfer - Mathematical Modelling, Numerical Methods and Information...
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Heat Transfer Mathematical Modelling Numerical Methods and Information Technology Part 16 ppt
Ngày tải lên :
20/06/2014, 01:20
... (Figs 7, 8) 604 Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology 10 References Abramovits, M., Stegun, I (1979) Handbook of Mathematical Functions, nd edn, ... ,0) = , ex + s sx2 functions F( x ) and G( x ) has the form (4.26)(4.28) accordingly (6.3) 596 Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology To determine ... Transfer - Mathematical Modelling, Numerical Methods and Information Technology (a) (b) (0, ) (7.2) on the contact surface of the Fig Evolution of dimensionless temperature T pad (a) and the disc...
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HEAT TRANSFER MATHEMATICAL MODELLING, NUMERICAL METHODS AND INFORMATION TECHNOLOGY_2 doc
Ngày tải lên :
26/06/2014, 23:20
... Modelling, Numerical Methods and Information Technology Note that the right hand side of Eq 18 restricts the solutions of the left hand side to only exist between -1 and However, the left hand side ... Transfer Heat Transfer - Mathematical Modelling, Numerical Methods and Information Technology Fig 3D electron and phonon heat capacities of Au calculated from Eq 68 and 80, respectively For these ... studies on the modeling and model evaluation of fluidized-bed hydrodynamics, only a few works have been published on the CFD modeling and model validation of combined reactor hydrodynamics and heat...
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HEAT TRANSFER MATHEMATICAL MODELLING, NUMERICAL METHODS AND INFORMATION TECHNOLOGY_1 potx
Ngày tải lên :
26/06/2014, 23:20
... finite-element and finite-volume methods, lattice Boltzmann numerical method, nonstandard finite difference methods, boundary element method and fast X Preface multipole method, quadrature scheme and complex ... reduction method, tinny circular fin method, finite circular fin method and review of data reduction method used for analyzing the heat and mass transfer characteristics of wavy fin -and- tube exchangers ... humidity ratio and temperature of the saturation air is necessary and it is taken a linear variation The influence of Heat Transfer - Mathematical Modelling, Numerical Methods and Information...
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