[Vector And Tensor Analysis By Nawazish Ali Shah Pdf Free Download [EXCLUSIVE]

[Jamar Lizarraga]

This comprehensive book provides a thorough introduction to vector and tensor analysis, two essential mathematical tools for scientists and engineers. It covers all the essential topics, from basic vector operations to more advanced topics such as curvilinear coordinates and differential geometry.

Vector And Tensor Analysis By Nawazish Ali Shah Pdf Free Download [EXCLUSIVE]

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Metallic porous material plays an irreplaceable role in weight reduction, heat dissipation, catalyst, and other industrial applications. The customized, large production and environment-friendly fabrication of porous metallic material are becoming increasingly important. Moreover, the selection of matrix material, control of porosity, and foaming parameters are critical for determining the quality of porous metallic material and product. As the porous metallic material is often used as the structural and/or functional component, its mechanical, heat dissipation, corrosion resistance and other properties need to be evaluated before industrial application. This review provides an overview of the fabrication techniques, characteristics, and applications of porous metallic materials. Additionally, current industrial applications and potential future areas are discussed.

The absorption properties of molecules NOx onto monolayered C6N8 were investigated thoroughly with density functional theory. Detailed orbital, and reactivity analysis on C6N8 monolayer have shown that NO2 and NO were successfully adsorbed onto the C6N8 monolayer with considerable amount of adsorption energy and charge transfer. The electric conductivity of the C6N8 monolayer significantly increased due to the adsorption of the NO2 and NO, resulting in the semiconducting behavior of the material being turned into conducting behavior. It has been established that the absorption rate of NO2 and NO onto the C6N8 monolayer is moderate, making their desorption fairly simple, indicating potential in terms of C6N8 sensor's reusability. Hence, C6N8 monolayer could be a promising candidate for sensing NO and NO2, which can be validated through further experimental studies.

Within a nonrelativistic framework, spin is generally included as an intrinsic angular momentum. It is proposed here that consistent results can be obtained with a spatial wavefunction of an oriented complex exponential e^\mp \boldsymboli\hat\bfa\varphi , where the bivector \boldsymboli\hat\bfa is written in terms of the pseudoscalar i = exeyez and the axis of rotation given by the unit vector \hat\bfa, which is generally an (effective) magnetic field direction (this can also be written as e^\mp i\boldsymbol\sigma \cdot \hat\bfa\varphi in terms of the Pauli vector σ). The wavefunction is a multivector and not a complex scalar. The signs in the exponential correspond to the two directions of rotation around the axis. The transformation properties of these wavefunctions are given by the Pauli spinors. Spin can be viewed as a zero-point rotation arising from the noncommutativity of the momentum and the vector potential.

Transonic plasma winds are studied under the influence of gravitational potential well in the presence of cosmic rays and self excited Alfvn waves. We present interesting features of transonic winds originating from the gravitational potential well for a three-fluid system. The model is comprising of thermal plasma, cosmic rays and Alfvn waves. The analysis is carried out on the hydro-dynamical basis with a particular emphasis on cosmic-ray streaming instability and damping mechanism. Boundary conditions on the base of the gravitational potential well will help to explore steady-state transonic wind solutions. A critical analysis on various mass outflow rate is also presented which is applicable to know the behaviour of normal and star-burst galaxies. The dependence of the critical or sonic point is studied for different sets of physical parameters. For the graphical interpretation of the numerical results different contour plots presented to analyze impacts of different mass flow rates. We find that transonic solutions exist for a wide range of parameters. We examine the case very close to the base of the gravitational potential well and the effect of the cosmic ray diffusion is neglected in current study.

In this paper, we study cosmic evolutionary stages in the background of modified theory admitting non-minimal coupling between Ricci scalar, trace of the energy-momentum tensor, contracted Ricci and energy-momentum tensors. For dust distribution, we consider isotropic, homogeneous and flat cosmic model to determine symmetry generators, conserved integrals and exact solutions using Noether symmetry scheme. We find maximum symmetries for non-minimally interacting Ricci scalar and trace of the energy-momentum tensor but none of them correspond to any standard symmetry. For rest of the models, we obtain scaling symmetry with conserved linear momentum. The graphical analysis of standard cosmological parameters, squared speed of sound, viability conditions suggested by Dolgov-Kawasaki instability and state-finder parameters identify realistic nature of new models compatible with Chaplygin gas model, quintessence and phantom regions. The fractional densities relative to ordinary matter and dark energy are found to be consistent with Planck 2018 observational data. It is concluded that the constructed non-minimally coupled models successfully explore cosmic accelerated expansion.

This research paper primarily focuses on the behavior of viscous supersonic laminar flows around the F-16's NACA 64A-204 airfoil, while also extending its scope to Shock-Wave/Boundary-Layer Interactions. The aim is to evaluate and compare methodologies for accurately characterizing these crucial aerodynamic phenomena. A unique experimental setup was developed, featuring mock-ups of F-16 airfoil equipped with pressure taps, and tested in the Supersonic Burst Wind Tunnel AF300. Computational Fluid Dynamics simulations were conducted using Ansys Fluent 2022 R2 and were supplemented by our previously established analytical model was adapted to our specific airfoil case, following calculations of the wing section equation. Key aerodynamic parameters such as lift coefficient, drag coefficient, Local Mach numbers, and the characteristics of the shock waves formed around the airfoil were examined. The study validates the NACA 64A-204 mock-up, with average errors for key parameters and 1st and 2nd Pressure Taps between the three adopted approaches remaining below 2.5%. The findings contribute valuable insights into the fundamental physics of viscous supersonic laminar flows, offering immediate applications to the design of high-speed aircraft and other advanced aerospace technologies. Additionally, the validated mock-up enhances the research capabilities of the Supersonic Burst Wind Tunnel AF300. Ultimately, this study serves as a foundational reference for optimizing aerodynamic surfaces, thereby facilitating advancements in key vehicle performance metrics such as manoeuvrability and fuel efficiency.

We study the working properties of cold-carrier energy-emissive harvesters that have internal heat leaks. We obtain the expressions of their electronic current, open-circuit voltage, chemical potential, power and efficiency using both the Impact-Auger and the Particle-Balance models. For each model we consider two different situations: when CC-EEHs works at constant temperature and when they work receiving a constant input heat flux. We show that heat leaks change all the mentioned properties and that they must be considered in calculations on cold-carrier energy-emissive harvesters. We also discuss how these two working situations are different between them and how considering the losses leads to different results on each one of the two situations.

Complex or hostile environments can sometimes inhibit the movement capabilities of diffusive particles or active swimmers, who may thus become stuck in fixed positions. This occurs, for example, in the adhesion of bacteria to surfaces at the initial stage of biofilm formation. Here we analyze the dynamics of active particles in the presence of trapping regions, where irreversible particle immobilization occurs at a fixed rate. By solving the kinetic equations for run-and-tumble motion in one space dimension, we give expressions for probability distribution functions, focusing on stationary distributions of blocked particles, and mean trapping times in terms of physical and geometrical parameters. Different extensions of the trapping region are considered, from infinite to cases of semi-infinite and finite intervals. The mean trapping time turns out to be simply the inverse of the trapping rate for infinitely extended trapping zones, while it has a nontrivial form in the semi-infinite case and is undefined for finite domains, due to the appearance of long tails in the trapping time distribution. Finally, to account for the subdiffusive behavior observed in the adhesion processes of bacteria to surfaces, we extend the model to include anomalous diffusive motion in the trapping region, reporting the exact expression of the mean-square displacement.

There are several definitions of energy density in quantum mechanics. These yield expressions that differ locally, but all satisfy a continuity equation and integrate to the value of the expected energy of the system under consideration. Thus, the question of whether there are physical grounds to choose one definition over another arises naturally. In this work, we propose a way to probe a system by varying the size of a well containing a quantum particle. We show that the mean work done by moving the wall is closely related to one of the definitions for energy density. Specifically, the appropriate energy density, evaluated at the wall corresponds to the force exerted by the particle locally, against which the work is done. We show that this identification extends to two and three dimensional systems.

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