This chapter introduces the finite element method (FEM) as a tool for solution of classical electromagnetic problems. Although we discuss the main points in the application of the finite element method to electromagnetic design, including formulation and implementation, those who seek deeper understanding of the finite element method should consult some of the works listed in the bibliography section.

Introduction to the Finite Element Method

a 'sleeper', receiving only modest attention for 50 years before emerging as a cornerstone of communications engineering in more recent times. Roughly one in six of Walsh's 281 publications are included, photographically reproduced. Reproduction is excellent except for one paper from 1918. The book also reproduces three brief papers about Walsh and his work, by W. E. Sewell, D. V. Widder and Morris Marden. The first two were written for a special issue of the SIAM Journal celebrating Walsh's 70th birthday; the third is an obituary.

Matrix iterative analysis (2nd edn), by Richard S. Varga. Springer Series in Computational Mathematics 27. Pp. 358. £55. 2000. ISBN 3 540 66321 5 (Springer Verlag).

Entropy Generation Minimization

Entropy generation analysis in MHD mixed convection of hybrid nanofluid in an open cavity with a horizontal channel containing an adiabatic obstacle

MHD natural convection and entropy generation of ferrofluid in an open trapezoidal cavity partially filled with a porous medium

Studies on natural convection within enclosures of various (non-square) shapes – A review

Role of various moving walls on energy transfer rates via heat flow visualization during mixed convection in square cavities

Triple diffusive mixed convection along a vertically moving surface

Finite element simulations were carried out to analyze entropy generation during mixed convection inside square enclosures with an isothermally hot bottom wall, adiabatic top wall, and isothermally cold side walls (case 1) or linearly heated side walls (case 2), or linearly heated left wall with isothermally cold right wall (case 3) for Pr = 0.015–7.2, Re = 1–100, and Gr = 103–105. Local entropy maps are studied in detail, and the dominance of thermal (Sθ,l) and frictional (Sψ,l) irreversibility is studied using Bejan number maps. In addition, variation in total entropy generation (Stotal), average Bejan number (Beav), and average Nusselt number at the bottom wall with Gr are analyzed to correlate irreversibility and the overall heat transfer rate of the system or process. It is found that, for Pr = 0.015 and 7.2, Re = 100 may be the optimal level for higher convective heat transport with minimum entropy generation in all the cases for Gr = 103–105.

Monisha Roy

Papers

Studies on natural convection within enclosures of various (non-square) shapes – A review

Role of various moving walls on energy transfer rates via heat flow visualization during mixed convection in square cavities

Triple diffusive mixed convection along a vertically moving surface

Analysis of Entropy Generation for Mixed Convection in a Square Cavity for Various Thermal Boundary Conditions

Role of the importance of ‘Forchheimer term’ for visualization of natural convection in porous enclosures of various shapes