## Contents

- Frequency Domain and Time Domain Response of the Horizontal Grounding Electrode Using the Antenna Theory Approach
- On the Use of Analytical Methods in Electromagnetic Compatibility and Magnetohydrodynamics
- Analysis of Horizontal Thin-Wire Conductor Buried in Lossy Ground: New Model for Sommerfeld Type Integral
- Comparison of TL, Point-Matching and Hybrid Circuit Method Analysis of a Horizontal Dipole Antenna Immersed in Lossy Soil
- Theoretical Study of Equilateral Triangular Microstrip Antenna and Its Arrays
- Green Function of the Point Source Inside/Outside Spherical Domain – Approximate Solution
- The Electromagnetic–Thermal Dosimetry Model of the Human Brain
- Quasi-TEM Analysis of Multilayered Shielded Microstrip Lines Using Hybrid Boundary Element Method
- Modified Transmission Line Models of Lightning Strokes Using New Current Functions and Attenuation Factors
- On Some Properties of the Multi-peaked Analytically Extended Function for Approximation of Lightning Discharge Currents
- Mathematical Modelling of Cutting Process System
- Mixed Convection Heat Transfer in MHD Non-Darcian Flow Due to an Exponential Stretching Sheet Embedded in a Porous Medium in Presence of Non-uniform Heat Source/Sink
- Heat and Mass Transfer in MHD Boundary Layer Flow over a Nonlinear Stretching Sheet in a Nanofluid with Convective Boundary Condition and Viscous Dissipation
- Effect of Time-Periodic Boundary Temperature Modulations at the Onset of Convection in a Maxwell Fluid–Nanofluid Saturated Porous Layer
- Effect of First Order Chemical Reaction on Magneto Convection in a Vertical Double Passage Channel
- Spectral Expansion of Three-Dimensional Elasticity Tensor Random Fields
- Sensitivity Analysis of Catastrophe Bond Price Under the Hull–White Interest Rate Model
- Pricing European Options Under Stochastic Volatilities Models
- Index

## Preface

This e-e book highlights the contemporary advances in engineering arithmetic with a main awareness at the mathematical fashions, systems, concepts, troubles and computational strategies and algorithms maximum applicable for programs in contemporary-day technologies and engineering. In particular, its capabilities mathematical strategies and fashions of implemented evaluation, opportunity concept, differential equations, tensor evaluation and computational modelling utilized in programs to crucial troubles concerning electromagnetics, antenna technologies, fluid dynamics, fabric and continuum physics and economic engineering.

The character chapters cowl each concept and programs, and encompass a wealth of figures, schemes, algorithms, tables and consequences of statistics evaluation and simulation. Presenting new strategies and consequences, evaluations of modern research, and open troubles for destiny research, they equip readers to expand new mathematical strategies and ideas in their own, and to similarly evaluate and examine the strategies and consequences discussed.

Chapters 1–10 are involved with implemented arithmetic strategies and fashions implemented in electric engineering, electromagnetism and antenna technologies.

Chapter 1 with the aid of using Dragan Poljak is involved with programs of integra-differential equations and numerical evaluation strategies to the evaluation of grounding systems crucial withinside the layout of lightning safety systems.

The evaluation of horizontal grounding electrodes has been executed the use of the antenna concept technique withinside the frequency and time area respectively.

The components are primarily based totally at the corresponding area-frequency and area-time Pocklington integra-differential equations.

The integra-differential relationships are numerically dealt with thru the Galperin– Bubnov scheme of the Indirect Boundary Element Method.

Frequency area and time area evaluation is illustrated with the aid of using computational examples.

Chapter 2 with the aid of using Silvester Sosnik and Dragan Poljak offers with the usage of analytical strategies for fixing diverse integra-differential equations in electromagnetic compatibility, with the emphasis on the frequency and time area answers of the thin-cord configurations buried in a lossy floor. Solutions withinside the frequency area is executed thru positive mathematical manipulations with the contemporary-day characteristic performing in corresponding imperative equations.

On the opposite hand, analytical answers withinside the time area are undertaken the use of the Laplace rework and Cauchy residue theorem. Obtained analytical consequences are in comparison to the ones calculated the use of the numerical answer of the frequency area Pocklington equation, wherein applicable.

Also, an outline of analytical answers to the Grad-Sharapov equation for tokamak plasma is provided.

In Chap. 3 with the aid of using Milica Rancic, Radoslav Jankoski, Sergei Silvestrov and Salvo Aleksić, a new easy approximation that may be used for modelling one sort of Sommerfeld integrals generally taking place withinside the expressions that describe reasserts buried withinside the lossy floor, is proposed.

The proposed approximation has a shape of a weighted exponential characteristic with a further complicated steady term.

The derivation procedure for this approximation is defined in detail, and the validation is provided with the aid of using making use of it to the evaluation of a naked conductor fed withinside the center and immersed withinside the lossy floor at arbitrary depth.

In Chap. four with the aid of using Radoslav Jankoski, Milica Rančić, Vesna Arnautovski-Toseva and Sergei Silvestrov, excessive frequency evaluation of a horizontal dipole antenna buried in lossy floor is accomplished.

The soil is handled as a homogenous half-area of acknowledged electric parameters.

The authors evaluate the variety of applicability of kinds of transmission line fashions, a hybrid circuit technique, and a factor-matching technique on this context.

Chapter five with the aid of using Metri relates to an experimental implementation and assessment of geometrically designed antennas.

A novel layout for an equilateral triangular microstrip antenna is proposed and examined.

The antenna is designed, fabricated and examined for unmarried and multiband operation.

A concept for such antennas primarily based totally at the experimental consequences is additionally considered.

Chapter 6 with the aid of gives a short review of the derivation of agencies of approximate closed shape expressions for the electric scalar capacity Green’s features that originates from the contemporary-day of the factory floor electrode withinside the presence of a round floor inhomogeneity, proposes approximate answers and considers acknowledged precise answers concerning limitless series sums.

The precise answer is reorganized so that it will facilitate evaluation to the closed shape answers, and to estimate the mistake delivered with the aid of using the approximate answers, and blunders estimation is accomplished evaluating the consequences for the electric scalar capacity acquired making use of the approximate expressions and the correct calculations.

This is illustrated with the aid of using some of numerical experiments.

In Chap. 7 with the aid of using Mario Cvetković and Dragan Poljak, the electromagnetic thermal dosimetry version for the human mind uncovered to electromagnetic radiation is evolved.

The electromagnetic version primarily based totally at the floor imperative equation components is derived the use of the equivalence theorem for the case of a lossy homogeneous dielectric body.

The thermal dosimetry version of the mind is primarily based totally at the shape of Pennes’ equation of warmth switch in biological tissue.

The numerical answer of the electromagnetic version is executed the use of the Method of Moments, even as the bioheat equation is solved the use of the finite detail technique.

The electromagnetic thermal version evolved right here has been implemented in inner dosimetry of the human mind to evaluate the absorbed electromagnetic energy and consequent temperature rise.

In Chap. eight with the aid of using Mirjana Perić, Saša Ilić and Slavoljub Aleksić, multilayered shielded systems are analysing the use of the hybrid boundary detail technique.

The technique is primarily based totally at the equal electrode’s technique, at the factor-matching technique for the capacity of the proper electric powered conductor electrodes and for the regular factor of electrical subject on the boundary floor among any dielectric layers.

In order to confirm the acquired consequences, they were in comparison with the finite detail technique and consequences which have already been mentioned withinside the literature.

In Chap. nine with the aid of using Vesna Javor, new engineering changed transmission line fashions of lightning strikes are supplied.

The computational consequences for lightning electromagnetic subject at diverse distances from lightning discharges are in good settlement with experimental consequences which are normally hired for validating electromagnetic, engineering and distributed-circuit fashions.

Electromagnetic concept relations, thin-cord antenna approximation of a lightning channel without tortuosity and branching, in addition to the belief of a wonderfully engaging in floor, are used for electric powered and magnetic subject computation.

An analytically prolonged characteristic, appropriate for approximating channel-base currents in those fashions, is likewise considered.

Chapter 10 with the aid of using Karl Undergird, Milica Rančić, Vesna Javor and Sergei Silvestrov explores the houses of the multi-peaked analytically prolonged characteristic for approximation of lightning discharge currents.

According to experimental consequences for lightning discharge currents, they’re categorized into waveshapes representing the first positive, first and next bad strokes, and long-strokes.

A magnificence of analytically prolonged features is supplied and used for the modelling of lightning currents.

The simple houses of this

**Download For Free in PDF Format**