Numerical results

John M. Dixon; Francis A. Kulacki

doi:10.1007/978-3-319-50787-3_3

Numerical results

John M. Dixon, Francis A. Kulacki

Mechanical Engineering

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Abstract

Results of the numerical solution of the mass conservation, DBF, and energy equations are presented. Verification of the solution method is first obtained by reproducing solutions for Rayleigh-Bénard convection, the Horton-Lapwood-Rogers program, and natural convection in fluid-superposed porous layers. For mixed convection in the fluid-superposed porous layer, Nusselt numbers are determined for a wide range of parameter effects: conductivity ratio, thermal dispersion, Prandtl number, Darcy number, and porous layer height ratio. Péclet numbers at which a minimum in the heat transfer coefficient occurs are determined in terms of combinations of these parameters.

Original language	English (US)
Title of host publication	SpringerBriefs in Applied Sciences and Technology
Publisher	Springer Verlag
Pages	21-46
Number of pages	26
Edition	9783319507866
DOIs	https://doi.org/10.1007/978-3-319-50787-3_3
State	Published - 2017

Publication series

Name	SpringerBriefs in Applied Sciences and Technology
Number	9783319507866
ISSN (Print)	2191-530X
ISSN (Electronic)	2191-5318

Bibliographical note

Publisher Copyright:
© The Author(s) 2017.

Keywords

Critical Péclet number
Critical porous sublayer height
Nusselt number
Rayleigh-Darcy number
Sublayer critical Rayleigh number
Thermal plume

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10.1007/978-3-319-50787-3_3

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abstract = "Results of the numerical solution of the mass conservation, DBF, and energy equations are presented. Verification of the solution method is first obtained by reproducing solutions for Rayleigh-B{\'e}nard convection, the Horton-Lapwood-Rogers program, and natural convection in fluid-superposed porous layers. For mixed convection in the fluid-superposed porous layer, Nusselt numbers are determined for a wide range of parameter effects: conductivity ratio, thermal dispersion, Prandtl number, Darcy number, and porous layer height ratio. P{\'e}clet numbers at which a minimum in the heat transfer coefficient occurs are determined in terms of combinations of these parameters.",

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doi = "10.1007/978-3-319-50787-3_3",

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series = "SpringerBriefs in Applied Sciences and Technology",

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T1 - Numerical results

AU - Dixon, John M.

AU - Kulacki, Francis A.

N1 - Publisher Copyright: © The Author(s) 2017.

PY - 2017

Y1 - 2017

N2 - Results of the numerical solution of the mass conservation, DBF, and energy equations are presented. Verification of the solution method is first obtained by reproducing solutions for Rayleigh-Bénard convection, the Horton-Lapwood-Rogers program, and natural convection in fluid-superposed porous layers. For mixed convection in the fluid-superposed porous layer, Nusselt numbers are determined for a wide range of parameter effects: conductivity ratio, thermal dispersion, Prandtl number, Darcy number, and porous layer height ratio. Péclet numbers at which a minimum in the heat transfer coefficient occurs are determined in terms of combinations of these parameters.

AB - Results of the numerical solution of the mass conservation, DBF, and energy equations are presented. Verification of the solution method is first obtained by reproducing solutions for Rayleigh-Bénard convection, the Horton-Lapwood-Rogers program, and natural convection in fluid-superposed porous layers. For mixed convection in the fluid-superposed porous layer, Nusselt numbers are determined for a wide range of parameter effects: conductivity ratio, thermal dispersion, Prandtl number, Darcy number, and porous layer height ratio. Péclet numbers at which a minimum in the heat transfer coefficient occurs are determined in terms of combinations of these parameters.

KW - Critical Péclet number

KW - Critical porous sublayer height

KW - Nusselt number

KW - Rayleigh-Darcy number

KW - Sublayer critical Rayleigh number

KW - Thermal plume

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M3 - Chapter

AN - SCOPUS:85028807065

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SP - 21

EP - 46

BT - SpringerBriefs in Applied Sciences and Technology

PB - Springer Verlag

ER -

Numerical results

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