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2 edition of Numerical study of the stability of a heated water boundary layer found in the catalog.

Numerical study of the stability of a heated water boundary layer

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Published by Case Western Reserve University .
Written in English

    Subjects:
  • Aeronautics

  • ID Numbers
    Open LibraryOL25327064M

      MHD boundary layer slip flow and radiative nonlinear heat transfer over a flat plate with variable fluid properties and thermophoresis Alexandria Engineering Journal, Vol. 54, No. 4 Lie group analysis and numerical solutions for magneto-convective slip flow of nanofluid over a moving plate with Newtonian heating boundary conditionCited by: The steady boundary layer flow and heat transfer of a nanofluid past a nonlinearly permeable stretching/shrinking sheet is numerically studied. The governing partial differential equations are reduced into a system of ordinary differential equations using a similarity transformation, which are then solved numerically using a shooting by: The influence of high mainstream turbulence on turbulent boundary layer flow and heat transfer is experimentally investigated for length Reynolds numbers between 4 {times} 10{sup 4} and {times} 10{sup 6}. The high mainstream turbulence is produced by a round tube grid with uniform jet injection. @article{osti_, title = {A numerical model of the tropical marine boundary layer for assessing the environmental impact of ocean thermal power plants}, author = {Clancy, R.M.}, abstractNote = {A one-dimensional model of the tropical atmosphere consisting of conservation equations for heat, moisture, momentum and mass is constructed and used to investigate the effect of sea surface.


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Numerical study of the stability of a heated water boundary layer by Robert Leroy Lowell Download PDF EPUB FB2

Numerical study of the stability of a heated water boundary layer. Item Preview remove-circle Numerical study of the stability of a heated water boundary layer. by Lowell, Robert Leroy. Publication date Topics Aeronautics some content may be Numerical study of the stability of a heated water boundary layer book due to the binding of the book.

Addeddate Call number ocm Pages:   Lowell, R. [dagger] Numerical study of the stability of a heated water boundary layer. Ph.D. dissertation, Case Western Reserve University. (See also Dept. Fluid, Thermal Aerospace Sci., Case Western Reserve Univ. Rep. FTAS/TR)Cited by: Numerical experiments on the stability of controlled boundary layers instability and transition in parallel water boundary layers subjected to pressure gradient, suction, or heating control.

Summary. The strong variation of water viscosity with temperature makes surface heating a powerful mechanism for boundary-layer control. Previous numerical investigations by the present authors and others have examined the effects of heating, with constant surface temperature, on the stability and transition of water boundary by: 1.

Surface heating techniques to control the three-dimensional laminar-turbulent transition process are numerically investigated for a water boundary layer. The Navier-Stokes and energy equations are Numerical Simulation of the Control of the Three-Dimensional Transition Process in Boundary Layers | Author: L.

Kral, H. Fasel. The book's editors and their team of expert contributors discuss many core themes, including advanced heat transfer fluids and boundary layer analysis, physics of fluid motion and viscous flow, thermodynamics and transport phenomena, alongside key methods of analysis such as the Merk-Chao-Fagbenle method.

JOURNAL OF Journal of Wind Engineering ~~ and Industrial Aerodynamics 67&68 () ELSEVIER A numerical study of a thermally stratified boundary layer under various stable conditions Y. Ohyaa'*, H. Hashimotob'l, S. Ozonoa ~' Research Institute Jor Applied Mechanics, Kvusyu University, KasugaJapan h lnterdisciplina~ Graduate School of Engineering Sciences, Kv~usyu University Cited by: 6.

The heated boundary layer for DAY 33 of the Wangara data of southeast Australia (Clarke et al., ) is studied numerically with a three-dimensional model using grid points within a volume 5 km on a side and 2 km by:   Remarks on disputed numerical results in compressible boundary-layer stability theory Physics of Fluids, Vol.

27, No. 2 Simple relations for the stability of heated-water laminar boundary Cited by: these methods to heated water boundary layers. The viscosity of water is strongly temperature dependent, and thus variable fluid property effects are significant for heated water boundary layers.

The Thwaites integral method has been extended to include variable fluid properties. Numerical solutions of heated water wedge flows are tabulated for aFile Size: 1MB. Direct numerical simulation is employed to investigate the two-dimensional boundary layer instability of a natural convection flow on a uniformly heated vertical plate submerged in a homogeneous quiescent by: The MHD laminar boundary layer flow with heat and mass transfer of an electrically conducting water-based nanofluid over a nonlinear stretching sheet with viscous dissipation effect is investigated by: In the present report the stability of two-dimensional laminar flows of a gas is investigated by the method of small perturbations.

The chief emphasis is placed on the case of the laminar boundary layer. Part I of the present report deals with the general mathematical theory.

The general equations governing one normal mode of the small velocity and temperature disturbances are derived and Cited by: This paper reports an analytical and numerical study of natural convection heat and mass transfer through a vertical porous layer subjected to uniform fluxes of heat and mass from the side.

The flow is driven by the combined buoyancy effect due to temperature and. Stability of the compressible laminar boundary layer according to a direct numerical solution.

AGARDogr pt. 1, pp. – Google Scholar Malik,M.R. Cited by: The stability of a boundary layer on a heated flat plate is investigated in the linear regime. The flow is shown to be unstable to longitudinal vortex structures which in general develop in a.

Two new techniques for the study of the linear and nonlinear instability in growing boundary layers are presented. The first technique employs partial differential equations of parabolic type exploiting the slow change of the mean flow, disturbance velocity profiles, wavelengths, and Cited by: As part of a continuing study of the stability of heated laminar boundary layers in water, an experiment has been performed for the case of nonuniform surface temperature where disturbances are introduced by a vibrating ribbon and the response measured using temperature compensated hot‐film anemometry.

Two types of nonuniform wall temperature distributions have been by: This paper studies the linear stability of the unsteady boundary-layer flow and heat transfer over a moving wedge.

Both mainstream flow outside the boundary layer and the wedge ve. The steady laminar incompressible free convective flow of a nanofluid over a permeable upward facing horizontal plate located in porous medium taking into account the thermal convective boundary condition is studied numerically.

The nanofluid model used involves the effect of Brownian motion and the thermophoresis. Using similarity transformations the continuity, the momentum, the Cited by: Thus, a finite difference scheme is applied after the coupled continuity equation and momentum equation are decoupled and linearized.

The accuracy, convergence, and stability of the numerical method are presented. It is shown that non-uniform mass transfer through a permeable surface considerably affects the velocity boundary : Botong Li, Fawang Liu.

different fluids, air (Pr=) and water (Pr=10). The results showed good agreement when compared with the similarity solution of [14]. Fig. 4, 5 shows the comparison of the numerical results obtained for the heated flat plate subjected to periodic boundary conditions either for velocity or temperature.

We study how cross-flow between the capillary transition zone and the diffusive boundary layer affects gravitational stability of the diffusive boundary layer. Linear stability analysis shows that. Guang-an Zou, Bo Wang and Mu Mu, Stability Analysis of Numerical Methods for a Layer Shallow-Water Ocean Model, Journal of Applied Mathematics,(1), ().

Crossref A. Mohammadian, Numerical approximation of viscous terms in finite volume models for shallow waters, International Journal for Numerical Methods in Fluids, 63, 5.

well demonstrated in the book of Nield and Bejan 1. The role of the porosity is taken into account in many recent contributions for similar problem but for boundary conditions different from that used in the present work. Bahloul et al. 9 and Bourich et al. 10, 11 studied the stability of the flow in a horizontal layer in the case of.

The problem of boundary layer flow and heat transfer of magnetohydrodynamic (MHD) nanofluids which consist of Fe 3 O 4, Cu, Al 2 O 3, and TiO 2 nanoparticles and water as the base fluid past a bidirectional exponentially permeable stretching/shrinking sheet is studied numerically.

The mathematical model of the nanofluid incorporates the effect of viscous dissipation in the energy by: 8. This study presents evidence in support of. Turner’s conjecture that boundary layer flows are maintained in a marginal.

state of stability, which we shall assume is that in which small disturbances. to the mean flow have zero growth rate. The formulation is specialized to the case of the natural convection plume generated by a horizontal line source of heat.

The existence of the so-called bottling effect is demonstrated, wherein the disturbance vorticity and temperature are contained within the boundary layer of the by: Our study highlights that after the passage of an SB front, the top of the atmospheric boundary layer collapses as the thermal internal boundary layer (TIBL) develops, which leads to high aerosol.

A minichannel can be used in a heat sink with quite a high heat flux and a mild pressure loss. A minichannel heat sink with bottom size of 20 mm × 20 mm is analyzed numerically for the single-phase turbulent flow of water as a coolant through small hydraulic diameters.

A constant heat flux boundary condition is by: A stability analysis has been performed to show which solutions are stable and physically realizable. Based on the analysis, the results indicate that the first solution is linearly stable, while the second solution is linearly unstable.

Key-Words: Boundary layer flow, Heat transfer, Velocity slip, Nanofluid, Dual solutions, Stability analysisFile Size: KB. The steady boundary layer flow and heat transfer of a nanofluid past a nonlinearly permeable stretching/shrinking sheet is numerically studied.

Cited by: ous levels of modeling the featuring physical phenomena will be described. Also, numerical methods to solve the equations of motion in the boundary layer are discussed. Outside the boundary layer the ow can be considered inviscid (i.e.

non viscous). The overall ow eld is found by coupling the boundary layer and the inviscid outer Size: 2MB.

The numerical simulations are conducted in the high Rayleigh number domain, Ra =, where Ra is the Darcy-modified Rayleigh number based on height, H. The scale analysis predicts the existence of distinct thermal boundary layers if Ra 1/2 (H/L) > 1, where H/L is the height/length geometric ratio of the attic-shaped porous by:   The thermal structure in the boundary layer and its relation to the heat flux from the cooling and evaporating surface of a deep tank of water are investigated.

When a deep layer of water in contact with still air above loses heat to the air, the cooled water in a region just under the surface converges along lines and then plunges down in by: A layer reduced-gravity shallow-water ocean model in spherical coordinates is described and discretized in a staggered grid (standard Arakawa C-grid) with the forward-time central-space (FTCS) method and the Leap-frog finite difference scheme.

The discrete Fourier analysis method combined with the Gershgorin circle theorem is used to study the stability of these two finite difference Cited by: 1.

Numerical results for both the unheated and heated cases are presented in tables and graphs and discussed. The most dangerous frequency for a Blasius boundary layer at integrated growth rate n = 9 is given as F =and the effect of the exponent N in the power-law heating distribution on the stability is shown to be ambiguous.

boundary-layer coordinates Cartesian coordinates for wing definition, Figs. 3, 4, 5. reference rectangular coordinates distance measured along the chord line (X/c = 1 at the trailing edge) angle of attack 7 ratio of specific heat Ax, £xy, ACgrid spacing in the x, y, _" directions, respectively.

6 6" 32 g 0 t¢ A boundary-layer thickness; (z) v File Size: 3MB. The boundary-layer flow and heat transfer in a viscous fluid containing metallic nanoparticles over a nonlinear stretching sheet are analyzed by Hamad and Ferdows. They studied different types of nanoparticles and found that the behavior of the fluid flow changes with the change of Cited by: STABILITY OF FREE-CONVECTION BO"DARY-LAYER FLOWS By Philip R.

Nachtsheim SUMMARY The stability of free-convection boundary-layer flows is investigated by numerical integration of the disturbance differential equations. culations are carried out for Prandtl numbers of (air) and (water File Size: 1MB.

() Numerical study for the BVP of the liquid film flow over an unsteady stretching sheet with thermal radiation and magnetic field. Boundary Value Problems () Oscillatory instability in a weakly non-Boussinesq fluid layer with a deformable by: A laminar boundary layer integral method (the method of Thwaites and Walz) is extended to handle variable fluid properties.

This integral method uses simple correlations of universal parameters based on similar boundary layer flows. These universal parameters are correlated for water, which has a strongly temperature dependent viscosity, based on numerical solutions of heated water wedge by: 1.The present study is an extension of Bachok et al.

[38] with new boundary condition proposed by Kuznetsov and Nield [16]. The main purpose of this present work is to investigate the boundary layer flow and heat transfer characteristics over a stretching/ shrinking sheet in nanofluid when the Soret and Dufour effects are taken into considerationCited by: 6.