isothermal flow of compressible fluid

... Trang 1Steady State Compressible Fluid Flow in Porous MediaPeter Ohirhian X Steady State Compressible Fluid Flow in Porous Media Peter Ohirhian University of Benin, Petroleum Engineering ... cc / massgm ,fluidofDensity Mass cc weight / gm , fluidof weight Specific coordinate Vertical z scentipoisefluid, Horizontal and Uphill Gas Flow in Porous Media In uphill flow, the + sign ... and a base Viscosity of air at flowing temperature = 0.02 cp Cross sectional area of core = 2 cm 2 Length of core = 2 cm Porosity of core = 0.2 Find the Reynolds number of the core Solution

Ngày tải lên: 27/07/2014, 23:44

... NUMERICAL STUDY OF POROUS-FLUID COUPLED FLOW SYSTEMS WITH MASS TRANSFER BAI HUIXING NATIONAL UNIVERSITY OF SINGAPORE 2011 Trang 2A NUMERICAL STUDY OF POROUS-FLUID COUPLED FLOW SYSTEMS WITH ... the study of coupled flow systems which compose of a porous medium layer and a homogenous fluid layer The study consists of three parts: channel partially filled with a porous medium, fluid-porous ... Schematic of flow in a channel partially filled with saturated porous medium 118 Figure 5.2 Effects of grid size on velocity profile 119 Figure 5.3 The U velocity profile under different flow conditions:

Ngày tải lên: 10/09/2015, 15:53

... the flow and thermal fields have been studied extensively by many researchers The mixed-convective flow in an annulus due to rotation of the cylinder in the absence of bulk axial flow is one of ... the geometry of the annulus, the properties of the fluid and the rotation rate of the outer cylinder on the flow and the heat transfer in the annular spaces are investigated Because of its common ... They considered a few cases of parameters; and the transition phenomena of flow patterns and the effect of aspect ratio were not investigated On the contrary, the Couette flow between two horizontal

Ngày tải lên: 27/11/2015, 11:12

... right of the rarefaction fan, seeFig 2 Note that as a consequence of the formulas of the eigenvectors r1and r2, we have Trang 6The backward i-rarefaction wave curve RBiðU0Þ consisting of all ...  RAis a subset of OA;  ULbelongs to RA;  if URbelongs to RA\ ðG1[ Cþ[ G2Þ, the Riemann problem for(1.1) and (1.2)has a solution of the form(3.7), or of the form(3.15), or of the form(3.23) ... particle velocity, and pressure of the fluid, respectively, and a ¼ aðxÞ denotesthe cross-section of the nozzle The two equations in(1.1)represent the balance of mass and momentum, respectively.Even

Ngày tải lên: 16/12/2017, 14:16

... different values of Grashoff number (Gr) Figure 9 Temperature profiles for different values of Grashoff number (Gr) Figure 10 Concentration profiles for different values of Grashoff number (Gr) ... −axes direction, T = the fluid temperature, C = the concentration, = kinematic viscosity of the fluid,  =thermal diffusivity of the fluid,  = the density of the fluid, B D =Brownian diffusion ... Velocity profiles for different values of modified Grashoff number (Gm) Figure 12 Temperature profiles for different values of modified Grashoff number (Gm) Figure 13 Concentration profiles for

Ngày tải lên: 03/06/2020, 22:48

... obtained The probprob-lem of the fluid flow around obstacles has been the subject of many papers, among which we mention [–], some of them dealing only with the incompressible case The boundary ... distribution is considered Briefly, the problem to solve is that of a subsonic uniform compressible fluid flow per-turbed by the presence of an obstacle of boundary C assumed to be smooth and closed. The goal ... coefficients ofA, so we need to evaluate the integrals that appear Some Trang 5of them are usual integrals, and we can use any mathematical software to compute them,but the others are integrals of singular

Ngày tải lên: 01/11/2022, 08:58

... Jeffrey fluid Their study showed that behavior of net flow rate in linear Jeffrey fluid is less oscillatory than that of linear Maxwell fluid The slip effects on the net flow rate through a tube of ... to an incompressible viscous and non-Newtonian fluids The relevant studies analyzing peristaltic flows of compressible fluids are very few Such investigations further narrowed down when compressible ... equation of upper convected Maxwell fluid is used to investigate the interaction of rheology with net flow rate through a tube of small radius To the best of our information such type of study

Ngày tải lên: 19/11/2022, 11:37

... approximations of the equa-tions of motion In this paper, a reliable algorithm of the DTM, namely MDTM [10] is used to explain the behavior of the fluid such as stream function profile, velocity profile ... non-Newtonian fluids of the differential type [6] In the case of fluids of differential type, the equations of motion are of order higher than that of the Navier–Stokes equations, and thus, the adherence ... [5] Boundary-layer flows of non-Newtonian fluids have been of great interest to researchers during the past three decades These investigations were for non-Newtonian fluids of the differential

Ngày tải lên: 19/11/2022, 11:46

... 15°C rate of flow, in millions of cubic metres per day at MSC = rate of flow, in cubic metres per hour at MSC rate of flow, in cubic metres per minute at flowing conditions rate of flow, in cubic ... velocity of flow, in metres per second sonic (or critical) velocity of flow of a gas, in metres per second = rate of flow, in kilograms per hour = rate of flow, in kilograms per second ratio of small ... elementary laws of fluid flow To satisfy a demand for a simple and practical treatment of the subject of flow in pipe, Crane Co published in 1935, a booklet entitled Flow of Fluids and Heat Transmission

Ngày tải lên: 12/03/2014, 16:35

... Precedence of Operators (1 of 4) Trang 7Display 2.3 Precedence of Operators (2 of 4) Trang 8Display 2.3 Precedence of Operators (3 of 4) Trang 9Display 2.3 Precedence of Operators (4 of 4) Trang ... Statements♦ Flow of Control control in and out ♦ break; ♦ continue; ♦ These statements violate natural flow Trang 40Nested Loops♦ Recall: ANY valid C++ statements can be inside body of loop ♦ ... ultimate "flexibility" Trang 33Comma Operator♦ Evaluate list of expressions, returning value of the last expression ♦ Most often used in a for-loop ♦ Example: first = (first = 2, second =

Ngày tải lên: 19/03/2014, 00:20

... Equation for Flow of Fluids - Friction factor wee Effect of age and use on pipe iction Principles of Compressible Flow in Pipe Complete isothermal equation Simplified compressible flow — gas ... 15°C rate of flow, in millions of cubic metres per day at MSC = rate of flow, in cubic metres per hour at MSC rate of flow, in cubic metres per minute af flowing conditions = Tate of flow, in ... elementary laws of fluid flow To satisfy a demand for a simple and practical treatment of the subject of flow in pipe, Crane Co, published in 1935, 4 booklet entitled Flow of Fluids and Heat

Ngày tải lên: 28/03/2014, 20:20

... plotting h-curve The effects of pertinent parameters of nanofluid have been discussed through graphs Consider the steady two-dimensional flow of an incompressible nanofluid over an exponentially ... have discussed the boundary layer flow of nanofluid over an exponentially stretching surface with suction and injection To the best ofour knowledge, the nanofluid over an exponentially stretching ... conductivity of nanofluids [17–22] The theory ofnanofluids has presented several fundamental properties with the large en-hancement in thermal conductivity as compared to the base fluid [23] In

Ngày tải lên: 20/06/2014, 20:20

... development of diffuse NP-SLE Moreover, the data indicate that the expression of such Figure 1 Cerebrospinal fluid antibodies to various components of ribosomal P proteins Cerebrospinal fluid antibodies ... expres-sion of IL-6 mRNA in neurons was upregulated in the brain of an SLE patient who died of active diffuse NP-SLE [25] Of note, we recently disclosed that anti-PC22 upregulate the expression of mRNAs ... containing 60 mg of o-phenylene-diamine and 10 μl of 30% H2O2 in 100 ml of 0.05 M citrate phosphate buffer (pH 4.8) at 37°C for 30 minutes, the reaction was stopped by addition of 5 N H2SO4, and

Ngày tải lên: 09/08/2014, 10:20

... Trang 12.1.4 Energy ConservationThe principle of energy conservation is a basic law of physics, but inthe context of fluid dynamics it is derived from the governing equationsand ... expresses the local whirling rate of the fluid with both a magnitudeand a spatial orientation Its magnitude is equal to twice the angularrotation frequency of the swirling flow component around an axis ... Fundamental Dynamicsintegral of the tangential component of velocity around a closed lineC By Stokes’ integral relation, it is equal to the area integral of the normalprojection of the vorticity through

Ngày tải lên: 09/08/2014, 11:21

... deferred to the topic of quasigeostrophy in Chap. 4. Now make a scaling analysis in which the magnitudes of various fields are estimated in terms of the typical magnitudes of a few primary quan- ... Davis Strait (north of the Labrador Sea, west of Greenland) during June 2002. Both vortex types are mesoscale vortices with horizontal diameters of 10s-100s km. (Courtesy of Jacques Descloirest, ... This is an example of barotropic flow using either of its common definitions, ∂ z = 0 (sometimes enforced by taking a depth average of a 3D flow) or ∇∇∇φ × ∇∇∇ρ = 0. (The opposite of barotropic is

Ngày tải lên: 09/08/2014, 11:21

... (Bottom) The discontinuous zonal flow profile,u = U (y) ˆbf x, of a vortex sheet This is the limiting flow for a street when a→ 0 (or, equivalently, when the flow is sampled a distance away from ... Thisstep-function velocity profile is the limiting form for a continuous profilewith Trang 9as D, the width of the shear layer, vanishes Such a zonal flow is astationary state (Sec 3.1.4) A mean flow with a one-signed ... condition for instability of a parallel flow can be derived for normal-mode eigensolutions of theform, dq dy = β0−d 2U dy2 = 0somewhere in the flow Thus, for a given shear flow, U (y), with inflectionpoints,

Ngày tải lên: 09/08/2014, 11:21

... effects of vortex stretching Thelatter can be understood in terms of the Lagrangian conservation of cir-culation, as in Kelvin’s Circulation Theorem (Sec 3.1.1) For a materialparcel with the shape of ... boundary condition of zero normal flow at a solid boundary),the result is ddt Z Z This is the identical result as for 2D flows (3.29), so again it is truethat integral functionals of q are preserved ... Shallow-Water Equations represent the flow in a fluidlayer with uniform density, ρ0, when the horizontal velocity is constantwith depth (Fig 4.3) This is most plausible for flow structures whosehorizontal

Ngày tải lên: 09/08/2014, 11:21

... anisolated wave of elevation (Fig 4.11), the characteristics converge on theforward side of the wave and diverge on the backward side This leads to a steepening of the front of the wave form ... > u2 and < U (4.91)The bore propagates faster than the fluid velocity on either side of thediscontinuity For further analysis of this and many other nonlinear wave problemssee Whitham (1999) ... wave-induced fluid volume flux times ρ0 for a uniformdensity fluid) Substituting h = h + h0into the thickness equation (4.5) and averaging yields the following equa-tion for the evolution of the wave-averaged

Ngày tải lên: 09/08/2014, 11:21

... this transformation comes frommeasurements of large-scale atmospheric and oceanic flows that showthat most of the energy is associated with only a few of the gravestvertical modes (i.e., ones with ... definition in terms of ˜ψm if thebarotropic deformation radius is defined to be The form of (5.38) is the same as the quasigeostrophic potential vorticityfor barotropic and shallow-water fluids, (3.28) ... simplest flow configuration exhibiting baroclinic instability (cf., the3D baroclinic instability in exercise #8 of this chapter) Even though Trang 6u 2 = − Uz Fig 5.4 Mean zonal baroclinic flow in

Ngày tải lên: 09/08/2014, 11:21

... geophysically important example of eddy–mean interaction Often, especially from a large-scale perspective, the mean layer flow and tracer profiles are the quantities of primary interest, andthe turbulence ... divergence, −∂zu0w0, acts to re-tard the mean flow aloft This process is an important influence onthe strength of the tropopause Jet Stream, as well as mean zonal flows at higher altitudes Perhaps it ... Forexample, nonzero fluxes of momentum, tracers, or buoyancy across afluid boundary almost always instigate an adjacent boundary layer withlarge normal gradients of the fluid properties Boundary-layer

Ngày tải lên: 09/08/2014, 11:21