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Keywords
(14)
Boundary Value Problem
Computation Fluid Dynamics
Differential Equation
Finite Element Method
Flow Field
Fluid Flow
Heat Conduction
Heat Transfer
Numerical Analysis
Numerical Method
Pipe Flow
Source Term
Three Dimensional
Turbulent Flow
Related Publications
(53)
A calculation procedure for heat, mass and momentum transfer in threedimensional parabolic flows
Computational methods for fluid dynamics
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An introduction to computational fluid dynamics  the finite volume method
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Numerical heat transfer and fluid flow
Numerical heat transfer and fluid flow,S. V. Patankar
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Numerical heat transfer and fluid flow
(
Citations: 7383
)
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S. V. Patankar
A mathematical description of physical phenomena is given and discretization methods are discussed.
Heat conduction
is considered along with convection and diffusion, and calculation of the flow field, sourceterm linearization, irregular geometries, two and threedimensional parabolic flow, partially parabolic flows, the finiteelement method, and illustrative applications. Attention is given to governing differential equations, the nature of coordinates, the nature of numerical methods, methods of deriving the discretization equations, steady and unsteady onedimensional conduction, two and threedimensional situations, overrelaxation and underrelaxation, and steady onedimensional convection and diffusion. Discussed applications are related to developing flow in a curved pipe, combined convection in a horizontal tube, melting around a vertical pipe,
turbulent flow
and
heat transfer
in internally finned tubes, and a periodic fully developed duct flow.
Published in 1980.
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(
adsabs.harvard.edu
)
Citation Context
(1957)
...Following the standard finite volume procedure [
32
], all of the governing equations can be discretized into the following form...
Shimin Wang
,
et al.
Melting in Cylindrical Enclosures: Numerical Modeling and Heat Transfe...
...Following the standard finite volume procedure [
19
], all of the governing equations can be discretized into the following form...
Shimin Wang
,
et al.
Transient Natural Convection in Vertical Annuli: Numerical Modeling an...
...The nondimensional governing equations (12)–(15) were numerically solved based on the finite volume approach presented by Patankar [
32
]...
Mahmoud Salari
,
et al.
Mixed Convection of Nanofluid Flows in a Square LidDriven Cavity Heat...
...In order to discretise the governing Equations (1) and (7), the finite volume method, developed by Patankar [
13
], is employed...
S. A. GhoreishiMadiseh
,
et al.
A study into extraction of geothermal energy from tailings ponds
...Pressurevelocity coupling is established through SIMPLE algorithm (Patankar,
1980
) and temporal and special terms are discretized using the implicit first order and the upwind second order schemes, respectively...
B. Sajadi
,
et al.
On the Induced Airflow and Particle Resuspension Due to a Falling Disk
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Citations
(7383)
Melting in Cylindrical Enclosures: Numerical Modeling and Heat Transfer Correlations
(
Citations: 2
)
Shimin Wang
,
Amir Faghri
,
Theodore L. Bergman
Journal:
Numerical Heat Transfer Part Aapplications  NUMER HEAT TRANSFER PT AAPPL
, vol. 61, no. 11, pp. 837859, 2012
Transient Natural Convection in Vertical Annuli: Numerical Modeling and Heat Transfer Correlation
(
Citations: 1
)
Shimin Wang
,
Amir Faghri
,
Theodore L. Bergman
Journal:
Numerical Heat Transfer Part Aapplications  NUMER HEAT TRANSFER PT AAPPL
, vol. 61, no. 11, pp. 823836, 2012
Mixed Convection of Nanofluid Flows in a Square LidDriven Cavity Heated Partially From Both the Bottom and Side Walls
Mahmoud Salari
,
Mohammad Mohammad Tabar
,
Ali Mohammad Tabar
,
Hossein Ahmadi Danesh
Journal:
Numerical Heat Transfer Part Aapplications  NUMER HEAT TRANSFER PT AAPPL
, vol. 62, no. 2, pp. 158177, 2012
A study into extraction of geothermal energy from tailings ponds
S. A. GhoreishiMadiseh
,
F. P. Hassani
,
A. Mohammadian
,
P. H. Radziszewski
Journal:
International Journal of Mining, Reclamation and Environment
, vol. aheadofp, no. aheadofp, pp. 118, 2012
On the Induced Airflow and Particle Resuspension Due to a Falling Disk
B. Sajadi
,
M. H. Saidi
,
G. Ahmadi
,
S. M. Kenney
,
J. Taylor
Journal:
Particulate Science and Technology  PARTICULATE SCI TECHNOLOGY
, vol. justaccep, no. justaccep, 2012