Mathematical formulation and numerical solution

Aniruddha Bagchi; Francis A. Kulacki

doi:10.1007/978-1-4614-6576-8_3

Mathematical formulation and numerical solution

Aniruddha Bagchi
, Francis A. Kulacki

Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

In this chapter, the mathematical formulation of the convective heat transfer problem is presented. The governing equations for natural convection in two-dimensional fluid and saturated porous layers are described first. Thereafter the boundary conditions for the problem are elucidated. In particular, boundary conditions at the interface of the fluid and porous layers are discussed in detail. The one-domain formulation is then derived, and the governing equations are presented in dimensionless form using the vorticity-stream function formulation.

Original language	English (US)
Title of host publication	SpringerBriefs in Applied Sciences and Technology
Publisher	Springer Verlag
Pages	15-26
Number of pages	12
Edition	9781461465751
DOIs	https://doi.org/10.1007/978-1-4614-6576-8_3
State	Published - 2014

Publication series

Name	SpringerBriefs in Applied Sciences and Technology
Number	9781461465751
ISSN (Print)	2191-530X
ISSN (Electronic)	2191-5318

Bibliographical note

Publisher Copyright:
© The Author(s) 2014.

Keywords

Finite-volume method
Interfacial conditions
Numerical solution
One-domain formulation
Two-domain formulation
Volume averaging

Publisher link

10.1007/978-1-4614-6576-8_3

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abstract = "In this chapter, the mathematical formulation of the convective heat transfer problem is presented. The governing equations for natural convection in two-dimensional fluid and saturated porous layers are described first. Thereafter the boundary conditions for the problem are elucidated. In particular, boundary conditions at the interface of the fluid and porous layers are discussed in detail. The one-domain formulation is then derived, and the governing equations are presented in dimensionless form using the vorticity-stream function formulation.",

keywords = "Finite-volume method, Interfacial conditions, Numerical solution, One-domain formulation, Two-domain formulation, Volume averaging",

author = "Aniruddha Bagchi and Kulacki, \{Francis A.\}",

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AU - Bagchi, Aniruddha

AU - Kulacki, Francis A.

N1 - Publisher Copyright: © The Author(s) 2014.

PY - 2014

Y1 - 2014

N2 - In this chapter, the mathematical formulation of the convective heat transfer problem is presented. The governing equations for natural convection in two-dimensional fluid and saturated porous layers are described first. Thereafter the boundary conditions for the problem are elucidated. In particular, boundary conditions at the interface of the fluid and porous layers are discussed in detail. The one-domain formulation is then derived, and the governing equations are presented in dimensionless form using the vorticity-stream function formulation.

AB - In this chapter, the mathematical formulation of the convective heat transfer problem is presented. The governing equations for natural convection in two-dimensional fluid and saturated porous layers are described first. Thereafter the boundary conditions for the problem are elucidated. In particular, boundary conditions at the interface of the fluid and porous layers are discussed in detail. The one-domain formulation is then derived, and the governing equations are presented in dimensionless form using the vorticity-stream function formulation.

KW - Finite-volume method

KW - Interfacial conditions

KW - Numerical solution

KW - One-domain formulation

KW - Two-domain formulation

KW - Volume averaging

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UR - https://www.scopus.com/pages/publications/85028888832#tab=citedBy

U2 - 10.1007/978-1-4614-6576-8_3

DO - 10.1007/978-1-4614-6576-8_3

M3 - Chapter

AN - SCOPUS:85028888832

T3 - SpringerBriefs in Applied Sciences and Technology

SP - 15

EP - 26

BT - SpringerBriefs in Applied Sciences and Technology

PB - Springer Verlag

ER -

Mathematical formulation and numerical solution

Abstract

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Keywords

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