Integration Scheme for Elastic Deformation and Stresses

The integration scheme is proposed in this paper to solve linear deformation and stresses for elastic bodies. The discretized equations are of the finite difference type such that all of the advantages in the use of a finite difference scheme are preserved. In addition, the boundary traction can be easily converted into Dirichlet boundary condition for the displacement equations without recourse to fictitious points. Three examples are illustrated in this study to examine the performances of the integration scheme. In the case of thermal loading, the integration scheme is seen to provide solution with six-place accuracy while the finite element and the boundary element solutions possess only two- to three-place accuracy at essentially the same number of grid points. A similar situation is believed to exist also in the case of pure mechanical loading, although no exact solution is available for comparison. For a square bimaterial under a thermal loading without boundary traction, the integration scheme is found to successfully predict the existence of the interface zone. Due to its simplicity and efficiency, the integration scheme is expected to have good performance for solid mechanical problems, especially when coupled with heat transfer and fluid flow inside and outside the solid.

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HEAT TRANSFER IN LARGE RUBBER ELEMENTS THROUGH OF MODELING BY FINITE DIFFERENCE METHOD

10.26678/abcm.cobem2019.cob2019-1235 ◽

2019 ◽

Author(s):

Lucas Peixoto ◽

Ane Lis Marocki ◽

Celso Vieira Junior ◽

Viviana Mariani

Keyword(s):

Heat Transfer ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method

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Analysis of a Virtual Prototype First-Stage Rotor Blade Using Integrated Computer-Based Design Tools

Volume 4: Fatigue and Fracture, Heat Transfer, Internal Combustion Engines, Manufacturing, and Technology and Society ◽

10.1115/esda2006-95257 ◽

2006 ◽

Cited By ~ 1

Author(s):

Michel Arnal ◽

Christian Precht ◽

Thomas Sprunk ◽

Tobias Danninger ◽

John Stokes

Keyword(s):

Heat Transfer ◽

Gas Flow ◽

Thermal Loading ◽

Cfd Simulation ◽

Three Dimensional ◽

Life Assessment ◽

Element Analysis ◽

Pressure Losses ◽

Cooling Channels ◽

Internally Cooled

The present paper outlines a practical methodology for improved virtual prototyping, using as an example, the recently re-engineered, internally-cooled 1st stage blade of a 40 MW industrial gas turbine. Using the full 3-D CAD model of the blade, a CFD simulation that includes the hot gas flow around the blade, conjugate heat transfer from the fluid to the solid at the blade surface, heat conduction through the solid, and the coolant flow in the plenum is performed. The pressure losses through and heat transfer to the cooling channels inside the airfoil are captured with a 1-D code and the 1-D results are linked to the three-dimensional CFD analysis. The resultant three-dimensional temperature distribution through the blade provides the required thermal loading for the subsequent structural finite element analysis. The results of this analysis include the thermo-mechanical stress distribution, which is the basis for blade life assessment.

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Finite difference solution of the problem of viscous flow and heat transfer between two porous rotating disks

Acta Mechanica ◽

10.1007/bf01177332 ◽

1995 ◽

Vol 108 (1-4) ◽

pp. 111-120 ◽

Cited By ~ 3

Author(s):

J. Sinha Roy ◽

S. Padhy ◽

L. Keshora Bhopa

Keyword(s):

Heat Transfer ◽

Finite Difference ◽

Viscous Flow ◽

Rotating Disks ◽

Flow And Heat Transfer ◽

Finite Difference Solution ◽

Difference Solution

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Development of an integrated multi-grid 3D FDTD and finite-difference heat transfer code to simulate microwave drying in multimode cavities

IEEE Antennas and Propagation Society International Symposium. 2001 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.01CH37229) ◽

10.1109/aps.2001.959418 ◽

2002 ◽

Author(s):

V. Pathak ◽

Z. Yun ◽

M.F. Iskander

Keyword(s):

Heat Transfer ◽

Finite Difference ◽

Microwave Drying

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Thermal Modeling of Unlooped and Looped Pulsating Heat Pipes

Journal of Heat Transfer ◽

10.1115/1.1409266 ◽

2001 ◽

Vol 123 (6) ◽

pp. 1159-1172 ◽

Cited By ~ 197

Author(s):

Mohammad B. Shafii ◽

Amir Faghri ◽

Yuwen Zhang

Keyword(s):

Heat Transfer ◽

Finite Difference ◽

Heat Pipes ◽

Analytical Models ◽

Charge Ratio ◽

Sensible Heat ◽

Governing Equations ◽

Heating Wall ◽

Heat Mode ◽

Explicit Finite Difference

Analytical models for both unlooped and looped Pulsating Heat Pipes (PHPs) with multiple liquid slugs and vapor plugs are presented in this study. The governing equations are solved using an explicit finite difference scheme to predict the behavior of vapor plugs and liquid slugs. The results show that the effect of gravity on the performance of top heat mode unlooped PHP is insignificant. The effects of diameter, charge ratio, and heating wall temperature on the performance of looped and unlooped PHPs are also investigated. The results also show that heat transfer in both looped and unlooped PHPs is due mainly to the exchange of sensible heat.

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A solution of the convection-conduction heat-transfer equation in porous media by the von Rosenberg finite-difference scheme

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690100604 ◽

1994 ◽

Vol 10 (6) ◽

pp. 677-687 ◽

Cited By ~ 3

Author(s):

Daniel M. Ginosar ◽

Don W. Green

Keyword(s):

Heat Transfer ◽

Porous Media ◽

Finite Difference ◽

Difference Scheme ◽

Transfer Equation ◽

Finite Difference Scheme ◽

Heat Transfer Equation ◽

Conduction Heat Transfer

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Heat transfer to He I and He II in pulsed thermal loading

Journal of Engineering Physics ◽

10.1007/bf00820545 ◽

1981 ◽

Vol 40 (3) ◽

pp. 235-238

Author(s):

A. M. Arkharov ◽

A. I. Ageev ◽

V. I. Pryanichnikov ◽

N. B. Rubin

Keyword(s):

Heat Transfer ◽

Thermal Loading

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LES of Turbulent Separated Flow and Heat Transfer in a Symmetric Expansion Plane Channel

Journal of Fluids Engineering ◽

10.1115/1.1988344 ◽

2005 ◽

Vol 127 (5) ◽

pp. 865-871 ◽

Cited By ~ 7

Author(s):

Kazuaki Sugawara ◽

Hiroyuki Yoshikawa ◽

Terukazu Ota

Keyword(s):

Heat Transfer ◽

Finite Difference ◽

Plane Channel ◽

Separated Flow ◽

Expansion Ratio ◽

Vortical Flow ◽

Flow And Heat Transfer ◽

Finite Difference Equations ◽

Separated And Reattached Flow ◽

Fundamental Equations

The LES method was applied to analyze numerically an unsteady turbulent separated and reattached flow and heat transfer in a symmetric expansion plane channel of expansion ratio 2.0. The Smagorinsky model was used in the analysis and fundamental equations were discretized by means of the finite difference method, and their resulting finite difference equations were solved using the SMAC method. The calculations were conducted for Re=15,000. It is found that the present numerical results, in general, agree well with the previous experimental ones. The complicated vortical flow structures in the channel and their correlations with heat transfer characteristics are visualized through various fields of flow quantities.

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