scholarly journals Numerical Solutions for Chemically Reactive Non-Newtonian Nanofluid over a Semi Infinite Moving Flat Plate with Heat Generation

2020 ◽  
Vol 8 (5) ◽  
pp. 5652-5660
Keyword(s):  
Heat Generation ◽  
Numerical Solutions ◽  
Two Dimensional ◽  
Moving Plate ◽  
Shooting Technique ◽  
Numerical Convergence ◽  
Material Parameters ◽  
Dissipation Parameter ◽  
Two Dimensional Flow ◽  
Generation Parameter

A hypothetical report was performed to contemplate the consistent two-dimensional flow of incompressible non-Newtonian nanofluids on a semi-infinite moving plate, considering viscous scattering of heat generation and third-request chemical responses. The methodology of Eyring Powell is utilized for the liquid. The solution is derived for the transformed equations by utilizingRunge-Kutta4thorder method in conjunction with shooting technique. The numerical convergence and precision of the outcomes are exhibited. The effects of the different parameters identified with this investigation are exhibited through graphs and tables separately. The outcomes demonstrate that there exists a significant improvement in the velocity of nanofluid along with the increase of both velocity and material parameters. Further, there is an improvement in the temperature of the nanofluid and decrement in the pace of heat move for the expanding enlarges of heat generation parameter. Furthermore, by increasing viscous dissipation parameter nanofluid temperature and Sherwood number are increased and Nusselt number decreased. At long last, the consequences of this investigation were contrasted and the outcomes gave in the writing.

scholarly journals The Effects Of Radiation And Heat Generation On Magnetohydrodynamic(MHD) Natural Convection Flow Along A Vertical Flat Plate In Presence Of Viscous Dissipation

1970 ◽  
Vol 6 (1) ◽  
pp. 20-29
Author(s):  
Mohammad Mokaddes Ali ◽  
Rowsanara Akhter ◽  
NHM A Azim ◽  
MA Maleque
Keyword(s):  
Flat Plate ◽  
Viscous Dissipation ◽  
Heat Generation ◽  
Convection Flow ◽  
Governing Equations ◽  
Natural Convection Flow ◽  
Dissipation Parameter ◽  
Effects Of Radiation ◽  
Generation Parameter ◽  
Vertical Flat Plate

This article investigates the effects of radiation and heat generation on magnetohydrodynamic( MHD) natural convection flow of an incompressible viscous electrically conducting fluid along a vertically placed flat plate in presence of viscous dissipation and heat conduction. Appropriate transformations were employed to transform governing equations of this flow into dimensionless form and then solved using the implicit finite difference method with Keller box scheme. The resulting numerical solutions of transformed governing equations are presented graphically in terms of velocity profile, temperature distribution, skin friction coefficient and surface temperature and the effects of magnetic parameter (M), radiation parameter (R), Prandtl number (Pr) and heat generation parameter (Q) and viscous dissipation parameter (N) on the flow have been studied with the help of graphs. Keywords: Radiation; Heat Generation Parameter; Viscous Dissipation Parameter; MHD; Finite Difference Method; Vertical Flat Plate. DOI: http://dx.doi.org/10.3329/diujst.v6i1.9330 DIUJST 2011; 6(1): 20-29

scholarly journals Peristaltic motion of a Johnson-Segalman fluid in a planar channel

2003 ◽  
Vol 2003 (1) ◽  
pp. 1-23 ◽  
Author(s):  
T. Hayat ◽  
Y. Wang ◽  
A. M. Siddiqui ◽  
K. Hutter
Keyword(s):  
Characteristic Time ◽  
Numerical Solutions ◽  
Pressure Rise ◽  
Travelling Wave ◽  
Weissenberg Number ◽  
Planar Channel ◽  
Two Dimensional ◽  
Peristaltic Motion ◽  
Two Dimensional Flow ◽  
Large Wavelength

This paper is devoted to the study of the two-dimensional flow of a Johnson-Segalman fluid in a planar channel having walls that are transversely displaced by an infinite, harmonic travelling wave of large wavelength. Both analytical and numerical solutions are presented. The analysis for the analytical solution is carried out for small Weissenberg numbers. (A Weissenberg number is the ratio of the relaxation time of the fluid to a characteristic time associated with the flow.) Analytical solutions have been obtained for the stream function from which the relations of the velocity and the longitudinal pressure gradient have been derived. The expression of the pressure rise over a wavelength has also been determined. Numerical computations are performed and compared to the perturbation analysis. Several limiting situations with their implications can be examined from the presented analysis.

TWO DIMENSIONAL FLOW OF AN ESF: EXPERIMENT, CFD, BINGHAM PLASTIC ANALYSIS

2001 ◽  
Vol 15 (06n07) ◽  
pp. 745-757 ◽  
Author(s):  
W. A. BULLOUGH ◽  
R. J. ATKIN ◽  
S. URANG ◽  
T. G. KUM ◽  
C. MUSCH ◽  
...  
Keyword(s):  
Electrorheological Fluid ◽  
Pressure Gradients ◽  
Two Dimensional ◽  
Concentric Cylinder ◽  
Moving Plate ◽  
Bingham Plastic ◽  
Dimensional Flow ◽  
Torque Transmission ◽  
Two Dimensional Flow ◽  
Computer Fluid Dynamics

The two dimensional flow of an electrorheological fluid in a concentric cylinder, Couette type apparatus is investigated at different inter-plate speeds, voltages and axial pressure gradients. Test results at low, but realistic, loading conditions correlate with Bingham plastic computer fluid dynamics (CFD) package predictions, at each field strength. The package had been pre verified against an analytical solution for the same flow field. In all cases the liquid is taken to be isothermal. Indications are that the rate of throughflow should not interfere severely with the voltage set magnitude of torque transmission. Hence the cooling of slipping clutches by through flow can be contemplated. At present the investigation covers only the case of one stationary and one moving plate with no heat transfer or centrifugal terms.

scholarly journals Numerical Simulations and Tracer Studies as a Tool to Support Water Circulation Modeling in Breeding Reservoirs

2014 ◽  
Vol 61 (3-4) ◽  
pp. 217-229
Author(s):  
Piotr Zima
Keyword(s):  
Numerical Simulations ◽  
Computer Aided Design ◽  
Numerical Solutions ◽  
Water Circulation ◽  
Proper Solution ◽  
Two Dimensional ◽  
Tracer Study ◽  
Advection Dispersion ◽  
Two Dimensional Flow ◽  
Migration Equation

Abstract The article presents a proposal of a method for computer-aided design and analysis of breeding reservoirs in zoos and aquariums. The method applied involves the use of computer simulations of water circulation in breeding pools. A mathematical model of a pool was developed, and a tracer study was carried out. A simplified model of two-dimensional flow in the form of a biharmonic equation for the stream function (converted into components of the velocity vector) was adopted to describe the flow field. This equation, supplemented by appropriate boundary conditions, was solved numerically by the finite difference method. Next, a tracer migration equation was solved, which was a two-dimensional advection-dispersion equation describing the unsteady transport of a non-active, permanent solute. In order to obtain a proper solution, a tracer study (with rhodamine WT as a tracer) was conducted in situ. The results of these measurements were compared with numerical solutions obtained. The results of numerical simulations made it possible to reconstruct water circulation in the breading pool and to identify still water zones, where water circulation was impeded.

Incompressible Navier-Stokes Computation of the NREL Airfoils Using a Symmetric Total Variational Diminishing Scheme

1994 ◽  
Vol 116 (4) ◽  
pp. 174-182 ◽  
Author(s):  
S. L. Yang ◽  
Y. L. Chang ◽  
O. Arici
Keyword(s):  
Turbulence Model ◽  
Numerical Solutions ◽  
Numerical Study ◽  
Wind Tunnel Test ◽  
Factorization Method ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Approximate Factorization ◽  
Two Dimensional Flow ◽  
Good Agreement

The purpose of this paper is to present a numerical study of flow fields for the NREL S805 and S809 airfoils using a spatially second-order symmetric total variational diminishing scheme. The steady two-dimensional flow is modeled as turbulent, viscous, and incompressible and is formulated in the pseudo-compressible form. The turbulent flow is closed by the Baldwin-Lomax algebraic turbulence model. Numerical solutions are obtained by the implicit approximate-factorization method. The accuracy of the numerical results is compared with the Delft two-dimensional wind tunnel test data. For comparison, the Eppler code results are also included. Numerical solutions of pressure and lift coefficients show good agreement with the experimental data, but not the drag coefficients. To properly simulate the post-stall flow field, a better turbulence model should be used.

scholarly journals Structure and stability of non-symmetric Burgers vortices

1998 ◽  
Vol 363 ◽  
pp. 199-228 ◽  
Author(s):  
AURELIUS PROCHAZKA ◽  
D. I. PULLIN
Keyword(s):  
Numerical Solutions ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Navier Stokes Equations ◽  
Structure And Stability ◽  
Two Dimensional Flow ◽  
Steady Solutions ◽  
Pseudo Spectral Method ◽  
Burgers Vortices

We investigate, numerically and analytically, the structure and stability of steady and quasi-steady solutions of the Navier–Stokes equations corresponding to stretched vortices embedded in a uniform non-symmetric straining field, (αx, βy, γz), α+β+γ=0, one principal axis of extensional strain of which is aligned with the vorticity. These are known as non-symmetric Burgers vortices (Robinson & Saffman 1984). We consider vortex Reynolds numbers R=Γ/(2πv) where Γ is the vortex circulation and v the kinematic viscosity, in the range R=1−104, and a broad range of strain ratios λ=(β−α)/(β+α) including λ>1, and in some cases λ[Gt ]1. A pseudo-spectral method is used to obtain numerical solutions corresponding to steady and quasi-steady vortex states over our whole (R, λ) parameter space including λ where arguments proposed by Moffatt, Kida & Ohkitani (1994) demonstrate the non-existence of strictly steady solutions. When λ[Gt ]1, R[Gt ]1 and ε≡λ/R[Lt ]1, we find an accurate asymptotic form for the vorticity in a region 1<r/(2v/γ)1/2[les ]ε1/2, giving very good agreement with our numerical solutions. This suggests the existence of an extended region where the exponentially small vorticity is confined to a nearly cat's-eye-shaped region of the almost two-dimensional flow, and takes a constant value nearly equal to Γγ/(4πv)exp[−1/(2eε)] on bounding streamlines. This allows an estimate of the leakage rate of circulation to infinity as ∂Γ/∂t =(0.48475/4π)γε−1Γ exp (−1/2eε) with corresponding exponentially slow decay of the vortex when λ>1. An iterative technique based on the power method is used to estimate the largest eigenvalues for the non-symmetric case λ>0. Stability is found for 0[les ]λ[les ]1, and a neutrally convective mode of instability is found and analysed for λ>1. Our general conclusion is that the generalized non-symmetric Burgers vortex is unconditionally stable to two-dimensional disturbances for all R, 0[les ]λ[les ]1, and that when λ>1, the vortex will decay only through exponentially slow leakage of vorticity, indicating extreme robustness in this case.

scholarly journals NUMERICAL SOLUTIONS AND VISUAL EXPERIMENTS FOR TWO-DIMENSIONAL FLOW

1976 ◽  
Vol 240 (0) ◽  
pp. 93-102 ◽  
Author(s):  
YOSHIMI URANO ◽  
HITOSHI YAMAZAKI ◽  
MASARU NISHIDA ◽  
TOSHIYUKI WATANABE ◽  
NOBUHIRO MIKI
Keyword(s):  
Numerical Solutions ◽  
Two Dimensional ◽  
Dimensional Flow ◽  
Two Dimensional Flow

Shock fronts in two-dimensional flow

1962 ◽  
Vol 267 (1331) ◽  
pp. 558-565 ◽  
Keyword(s):  
Shock Waves ◽  
Numerical Method ◽  
Numerical Solutions ◽  
Characteristic Method ◽  
Two Dimensional ◽  
Dimensional Flow ◽  
Two Dimensional Flow ◽  
Shock Fronts

A numerical method of treating shock waves in two-dimensional unsteady hydrodynam ic flow is considered. The shock is regarded as a discontinuity in the flow and its motion is determined by a characteristic method from conditions inside its domain of dependence. As an illustration of the method, numerical solutions are obtained for the dynamics of the motion caused by detonating a sphere of explosive over a cap.

Stability and Scalar Transport in Laminar Non-Newtonian Flow in a Bifurcating T-Junction

2019 ◽  
Author(s):  
Ajay Chatterjee ◽  
Fatemeh Khalkhal
Keyword(s):  
Reynolds Number ◽  
Flow Field ◽  
Numerical Solutions ◽  
Shear Thinning ◽  
Volume Averaging ◽  
Scalar Transport ◽  
Linear Perturbation ◽  
Perturbation Equation ◽  
Two Dimensional ◽  
Two Dimensional Flow

Abstract We consider the prototype bifurcating T-junction planar flow and compare the stability of the steady two-dimensional flow field for a Newtonian and a shear thinning inelastic fluid. Global stability of the flow to two-dimensional perturbations is analyzed using numerical solutions of the linear perturbation equation. Calculations are performed for two flow ratios between the main channel and the bifurcating channel, and for two different values of the time constant in the non-Newtonian rheological model. The results show that although the steady flow remains stable to two-dimensional perturbations for Newtonian Reynolds number up to ∼ 400, shear thinning is destabilizing in that the decay rate of the perturbation field is slower. The perturbation growth rate curves for all of the different cases may be correlated by volume averaging the local Reynolds number over the flow domain, indicating that the effect of shear thinning on stability may be described using a suitably defined average Reynolds number. These stability results provide some justification for CFD calculations of steady non-Newtonian two-dimensional flows presented in earlier papers. Since scalar transport is of interest in this flow field, we also present some numerical calculations for the Nusselt number profile along the bifurcating channel wall. The results show that for the shear thinning fluid the scalar transport rate is differentially larger by ∼ 75% across one of the bifurcating channel walls, a consequence of fluid rheology enhancing the effect of flow asymmetry in the entrance region of the bifurcation.

The development of weak waves in the steady two-dimensional flow of a gas with vibrational relaxation past a thin wedge

1975 ◽  
Vol 69 (1) ◽  
pp. 109-128 ◽  
Author(s):  
R. P. Hornby ◽  
N. H. Johannesen
Keyword(s):  
Supersonic Flow ◽  
Shock Tube ◽  
Small Angle ◽  
Vibrational Relaxation ◽  
Method Of Characteristics ◽  
Numerical Solutions ◽  
Two Dimensional ◽  
Wave Decay ◽  
Two Dimensional Flow ◽  
Thin Wedge

The method of characteristics is used to calculate the supersonic flow past a wedge of small angle with non-equilibrium effects. The wave decay and development distances are presented in a concise similarity form which permits accurate extrapolation to very weak waves. The numerical solutions are compared with shock-tube flows of CO2 and N2O.

Sign in / Sign up

Export Citation Format

Share Document