Electromagnetics, Fluid Mechanics, Material Physics and Financial Engineering
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
- A study of a horizontal dipole antenna buried in lossy soil using TL, Point-Matching, and a hybrid circuit method is compared.
- A Theoretical Study of Equilateral Triangular Microstrip Antennas and Their 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 the 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
- The flow of heat is mixed convection and Darcian in MHD non-Darcian flow because of an exponentially stretching sheet inside a porous medium and a heat source or sink that is not evenly distributed.
- Heat and Mass Transfer in MHD Boundary Layer Flow over a Nonlinear Stretching Sheet in a Nanofluid with Convective Boundary Conditions and Viscous Dissipation
- What happens when the boundary temperatures change over time at the start 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 volatility models
- Index
Preface
This e-book delves into the latest advancements in engineering arithmetic, focusing primarily on the mathematical styles, systems, concepts, challenges, and the computational strategies and algorithms that are most suitable for programs in modern technologies and engineering fields. In particular, its capabilities encompass mathematical strategies and fashions for implemented evaluation, opportunity concepts, differential equations, tensor evaluation, and computational modeling. Programs utilize these to address crucial issues related to electromagnetics, antenna technologies, fluid dynamics, fabric and continuum physics, and economic engineering.
The character chapters thoroughly cover each concept and program, providing a wealth of figures, schemes, algorithms, tables, and the consequences of evaluating and simulating statistics.
By presenting new strategies and consequences, evaluating modern research, and highlighting open problems for future research, they equip readers to expand their own mathematical strategies and ideas, as well as to evaluate and examine the strategies and consequences discussed.
Chapters 1-10 discuss the arithmetic strategies and fashions used in electric engineering, electromagnetism, and antenna technologies.
In Chapter 1, Dragan Poljak uses programs of integra-differential equations and numerical evaluation strategies to evaluate grounding systems, which are crucial to the layout of lightning safety systems.
We have evaluated horizontal grounding electrodes using the antenna concept technique within the frequency and time areas, respectively.
The components are primarily based on the corresponding area-frequency and area-time Pocklington integra-differential equations.
The Galperin–Bubnov scheme of the Indirect Boundary Element Method numerically handles the integra-differential relationships.
Computational examples illustrate the evaluation of the frequency area and time area.
Silvester Sosnik and Dragan Poljak assist in Chapter 2, providing analytical strategies for solving various integra-differential equations in electromagnetic compatibility. We concentrate on the frequency and time area solutions of thin-cord configurations, which lie beneath a lossy floor. Positive mathematical manipulations execute solutions within the frequency area, incorporating contemporary characteristics into corresponding imperative equations.
On the other hand, we apply the Laplace rework and Cauchy residue theorem to analytical answers within the time area. The analytical results obtained are compared to those calculated using the numerical solution of the frequency area Pocklington equation, when applicable.
Additionally, we provide an outline of analytical solutions to the Grad-Sharapov equation for tokamak plasma.
A new easy approximation is proposed in Chapter 3 by Milica Rancic, Radoslav Jankoski, Sergei Silvestrov, and Salvo Aleksić. It can be used to model a specific type of Sommerfeld integrals, which typically occur in expressions that describe reasserts buried in the lossy floor.
The suggested approximation resembles a weighted exponential characteristic and incorporates an additional complex steady term.
The steps used to create this approximation are detailed, and its accuracy is shown by testing a bare conductor fed into the center and submerged in the lossy floor at any depth.
In Chap. 4, with the aid of Radoslav Jankoski, Milica Rančić, Vesna Arnautovski-Toseva, and Sergei Silvestrov, an excessive frequency evaluation of a horizontal dipole antenna buried in a lossy floor is accomplished.
We treat the soil as a homogeneous half-area with recognized electric parameters.
The authors assess the various applications of different transmission line styles, a hybrid circuit technique, and a factor-matching technique in this particular context.
Chapter five, with the aid of Metri, relates to an experimental implementation and assessment of geometrically designed antennas.
We propose and examine a novel layout for an equilateral triangular microstrip antenna.
We design, fabricate, and examine the antenna to ensure unmarried and multiband operation.
We also consider an antenna concept, primarily based on the experimental results.
Chapter 6 provides a concise overview of the derivation of approximate closed-form expressions for the electric scalar capacity. Regarding infinite series sums, Green’s features, which come from the modern day factory floor electrode in the presence of a round floor inhomogeneity, suggest approximate answers and look at known precise answers.
The exact answer has been rearranged to make it easier to judge the closed-form answers, guess the mistake made by using the approximate answers, and guess what will happen to the electric scalar capacity when the approximate expressions and the right calculations are used.
We illustrate this using some numerical experiments.
In Chap. 7, with the aid of Mario Cvetković and Dragan Poljak, the electromagnetic thermal dosimetry version for the human mind uncovered to electromagnetic radiation is evolved.
To get the electromagnetic version, which is mostly based on the floor imperative equation parts, we use the equivalence theorem for the case of a lossy homogeneous dielectric body.
The thermal dosimetry version of the mind primarily relies on Pennes’ equation of heat transfer in biological tissue.
While the finite detail technique solves the bioheat equation, the method of moments executes the numerical answer for the electromagnetic version.
The inner dosimetry of the human mind uses the electromagnetic thermal version that evolved here to assess the absorbed electromagnetic energy and the resulting temperature rise.
In Chap. 8, with the aid of Mirjana Perić, Saša Ilić, and Slavoljub Aleksić, multilayered shielded systems analyze the use of the hybrid boundary detail technique.
For the correct electrical conductor electrodes and the normal point of the electrical subject on the surface between any dielectric layers, the method is based on the equal electrodes method. More specifically, it uses the point-matching method.
We compared the acquired consequences with the finite detail technique and those previously mentioned in the literature to confirm them.
In Chapter 9, Vesna Javor employs new engineering techniques to modify the transmission line patterns of lightning strikes.
The computational results for lightning electromagnetic subjects at various distances from lightning discharges are in good agreement with the experimental results, which are typically used to validate electromagnetic, engineering, and distributed-circuit models.
To figure out electric and magnetic subjects, we use electromagnetic concept relations, the thin-cord antenna approximation of a lightning channel without twisting and branching, and the idea that the floor should be very interesting.
An analytically prolonged characteristic, appropriate for approximating channel-base currents in those fashions, is likewise considered.
Section 10 of the book, written with help from Karl Undergird, Milica Rančić, Vesna Javor, and Sergei Silvestrov, looks at the properties of the multi-peaked analytically prolonged characteristic for estimating lightning discharge currents.
Experimental results for lightning discharge currents categorize them into waveshapes representing the first positive, first and next negative strokes, and long strokes.
The modeling of lightning currents uses an abundance of analytically prolonged features.
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