Finite difference calculations of buoyant convection in an enclosure

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U.S. Dept. of Commerce, National Bureau of Standards, Order from National Technical Information Service (NTIS) , [Washington, D.C.], [Springfield, VA
Heat -- Convection, Fluid dynamics -- Mathematical models, Dwellings -- United States -- Fires and fire preve
StatementRonald G. Rehm ... [et al.]
SeriesNBSIR -- 84-2932
ContributionsRehm, Ronald G, United States. National Bureau of Standards
The Physical Object
Paginationv. :
ID Numbers
Open LibraryOL14848675M

Applied Numerical Mathematics 1 () North-Holland FINITE DIFFERENCE CALCULATIONS OF BUOYANT CONVECTION IN AN ENCLOSURE: VERIFICATION OF THE NONLINEAR ALGORITHM Ronald G.

REHM Cited by: 8. Get this from a library. Finite difference calculations of buoyant convection in an enclosure. [Ronald G Rehm; United States. National Bureau of Standards.;]. A novel mathematical model of buoyant convection in an enclosure, developed earlier, is solved by finite difference techniques in the two-dimensional case.

This model has been developed as a princi Cited by:   A novel mathematical model of buoyant convection in an enclosure, developed earlier, is solved by finite difference techniques in the two-dimensional case. This model has been developed as a principal analytical tool for the prediction of the movement of smoke and hot gases in fires.

Effects of large density variations caused by substantial heating are retained while acoustic (high-frequency Cited by: 2. Earlier, a mathematical model of buoyant convection in an enclosure was developed.

The nonlinear equations constituting this model recently were solved by finite difference methods in two dimensions. Two solutions, obtained in special cases, to the model equations are presented.

For both cases the solutions to the partial differential equations and to the finite difference equations used to Author: R.

Rehm, H. Baum, P. Barnett, D. Corley. A study is made of the natural convection of a fluid contained in a long horizontal enclosure of rectangular cross section with one vertical wall heated and the other cooled.

Two‐dimensional motion is assumed. The governing vorticity and energy transport equations are solved by an implicit alternating direction finite‐difference method. Finite difference approximations to the set of partial differential equations governing internal waves are investigated. Analytical solutions describing waves in an enclosure in two and three dimen.

Summary. This paper presents a control volume-based finite-difference method for heat transfer and fluid flow calculations in arbitrary three-dimensional geometry in non-orthogonal curvilinear coordinates on a local basis in which vectors and tensors of the governing equations are all expressed in the general curvilinear coordinates.

Buoyancy driven natural convection in an enclosure has been studied Finite difference calculations of buoyant convection in an enclosure book.

Some of the related studies are discussed below; Lemembre A. and Petit J.P [1] did studies on laminar natural convection in a laterally heated and upper cooled vertical cylindrical enclosure. The influence of the characteristic.

Details Finite difference calculations of buoyant convection in an enclosure PDF

in an Enclosure with Time-Periodic Heat Generation Using Finite-Difference Method Igor Miroshnichenko1(&) and Mikhail Sheremet2 1 Regional Scientific and Educational Mathematical Centre, Tomsk State University, Tomsk, Russia [email protected] 2 Laboratory on Convective Heat and Mass Transfer, Tomsk State University, Finite Difference Calculations of Buoyant Convection in an Enclosure I the Basic Algorithm - Free download as PDF File .pdf), Text File .txt) or read online for free.

Método de Diferencias Finitas para resolver el Problema de Convección Flotante. Keywords and phrases: Finite element method, natural convection; heat transfer; square cavity; adiabatic obstacle. Introduction The buoyancy-driven flow in a square cavity with differentially heated walls is one of the least pursued areas in finite element methods, although it has been an extensively explored area in finite difference methods.

Download Finite difference calculations of buoyant convection in an enclosure FB2

Equations for a Boussinesq model describing transient buoyant convection driven by a heat source in a rectangular enclosure are presented and solved by finite difference methods. Grav­ ity is allowed to have an arbitrary direction relative to the enclosure so that the enclosure is inclined to horizontal.

Pressure- and buoyancy-driven thermal convection in a rectangular enclosure - Volume 70 Issue 4 - L. Spradley, S. Churchill Pressure- and buoyancy-driven thermal convection in a rectangular enclosure. Spradley (a1) and S. W finite-difference technique was used and good agreement was found for the limited cases where direct.

Book. Jan ; Transient combustion in a turbulent eddy Finite Difference Calculations of Buoyant Convection in an Enclosure, I. The Basic Algorithm. Article. Finite difference. An analytical study was made of the natural convection induced in an enclosure by a small hot spot centrally located on the floor.

The enclosure was a circular cylinder, vertically oriented, with height equal to radius. A Prandtl number of (air) was assumed; the Grashof number (Gr) was based on cylinder height and hot spot temperature.

The. Daniel M. Corley's 5 research works with 41 citations and 67 reads, including: Boussinesq algorithm for enclosed bouyant convection in two dimensions. 1. Introduction. Double diffusive convection in enclosures has wide applications in industry and infrastructure such as space heating, pollutant removing, thermal comfort, drying technologies, crystal growth, impurities migration, and metal solidification processes.Numerous studies have been conducted on the different aspects of heat and mass transfer characteristics in enclosures.

Buoyant Convection Computed in a Vorticity, Stream-Function Formulation Ronald G. Rehm,* Howard R. Baum,t and P. Darcy Barnett* National Bureau of Standards, Washington, DC September 2, Model equations describing large scale buoyant convection in an enclosure.

The convection–diffusion equation describes the flow of heat, particles, or other physical quantities in situations where there is both diffusion and convection or information about the equation, its derivation, and its conceptual importance and consequences, see the main article convection–diffusion article describes how to use a computer to calculate an.

Model equations describing large scale buoyant convection in an enclosure are formulated with the vorticity and stream function as dependent variables.

The mathematical model, based on earlier work of the authors, is unique in two respects. First, it neglects viscous and thermal conductivity effects.

Kuznetsov, Geniy V., and Sheremet, Mikhail A. "Double-Diffusive Natural Convection in an Enclosure Having Finite Thickness Walls." Proceedings of the 14th International Heat Transfer Conference.

14th International Heat Transfer Conference, Volume 7. Washington, DC, USA. August 8–13, pp. ASME. Accuracy of the Finite Difference Computation of Free Convection Jean J. Portier and Ozer A. Arnas, [] Experimental Study of Free Convection in a Square Cavity G. Burnay, J.- Hannay, and J.

Portier [] Buoyancy Driven Countercurrent Flows Generated by a. Natural Convection in Enclosures 1 Chapter 6: Natural Convection Advanced Heat and Mass Transfer by Amir Faghri, Yuwen Zhang, and John R. Howell Enclosures are finite spaces bounded by walls and filled with fluid.

Description Finite difference calculations of buoyant convection in an enclosure EPUB

Natural convection in enclosures, also known as internal convection, takes place in rooms and. Numerical calculations are carried out for natural convection induced by a temperature difference between a cold outer square enclosure and a hot inner cylinder with two different geometries (i.e.

circular and square). A two-dimensional solution for natural convection is obtained, using the finite volume method for different Rayleigh numbers varying over the range of. natural convection heat transfer in a vertical cylinder filled with porous media saturated with nanofluid. The buoyancy effect caused by the density variation produces natural circulation resulting in the fluid motion relative to the bounding solid surface.

The buoyancy forces behave as body forces and are included as such in the momentum equation. Transient natural convection in a rectangular enclosure is analyzed using a finite difference scheme.

The enclosure is adiabatic and filled with water. The buoyancy induced flow is generated by a flat vertical uniform flux surface that has a finite thermal capacity. Transient Heat Conduction Cylinder Matlab. Numerical simulations have been undertaken for the benchmark problem of natural convection flow in a square cavity.

The control volume method is used to solve the conservation equations for laminar and turbulent flows for a series of Rayleigh numbers (Ra) reaching values up to 10 The k‐ϵ model has been used for turbulence modelling with and without logarithmic wall functions.

Natural convection is caused by local buoyancy differences brought about by the presence of hot and cold body surfaces. Natural convection occurs when the air in a space is changed with outdoor air without the use of mechanical systems, such as a fan. Most often natural convection is assured through.

thermal conduction describing buoyant convection driven by a heat source in a rectangular enclosure. are derived. The finite-difference algorithm for computing transient solutions in two dimensions to these equations is presented.

The al­ gorithm allows the enclosure fluid to be stratified in a .The calculations made use of a Computational Fluid Dynamics (GDF) procedure which The growing interest in the study of natural convection in geometrically complex enclosures method, i.e., by integration of the equations over a control volume on a mesh to yield finite difference equations (Patankar ).Keywords: Natural convection, buoyancy, flow field, temperature field, boundary conditions 1.

Introduction The study of natural convection in enclosure cavities is very important due to its wide application in engineering fields.

It is very important in engineering application, such as solar energy systems, cooling of electronic circuits, air.