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The Application of Mathematics to Physics and Nonlinear Science

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ISBN: 9783039287260 / 9783039287277 Year: Pages: 122 DOI: 10.3390/books978-3-03928-727-7 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Mathematics
Added to DOAB on : 2020-06-09 16:38:57
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Nonlinear science is the science of, among other exotic phenomena, unexpected and unpredictable behavior, catastrophes, complex interactions, and significant perturbations. Ocean and atmosphere dynamics, weather, many bodies in interaction, ultra-high intensity excitations, life, formation of natural patterns, and coupled interactions between components or different scales are only a few examples of systems where nonlinear science is necessary. All outstanding, self-sustained, and stable structures in space and time exist and protrude out of a regular linear background of states mainly because they identify themselves from the rest by being highly localized in range, time, configuration, states, and phase spaces. Guessing how high up you drive toward the top of the mountain by compiling your speed, road slope, and trip duration is a linear model, but predicting the occurrence around a turn of a boulder fallen on the road is a nonlinear phenomenon. In an effort to grasp and understand nonlinear phenomena, scientists have developed several mathematical approaches including inverse scattering theory, Backlund and groups of transformations, bilinear method, and several other detailed technical procedures. In this Special Issue, we introduce a few very recent approaches together with their physical meaning and applications. We present here five important papers on waves, unsteady flows, phases separation, ocean dynamics, nonlinear optic, viral dynamics, and the self-appearance of patterns for spatially extended systems, which are problems that have aroused scientists’ interest for decades, yet still cannot be predicted and have their generating mechanism and stability open to debate. The aim of this Special Issue was to present these most debated and interesting topics from nonlinear science for which, despite the existence of highly developed mathematical tools of investigation, there are still fundamental open questions.

Experimental and Numerical Studies in Biomedical Engineering

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ISBN: 9783039212477 9783039212484 Year: Pages: 130 DOI: 10.3390/books978-3-03921-248-4 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering
Added to DOAB on : 2019-12-09 16:10:12
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The term ‘biomedical engineering’ refers to the application of the principles and problem-solving techniques of engineering to biology and medicine. Biomedical engineering is an interdisciplinary branch, as many of the problems health professionals are confronted with have traditionally been of interest to engineers because they involve processes that are fundamental to engineering practice. Biomedical engineers employ common engineering methods to comprehend, modify, or control biological systems, and to design and manufacture devices that can assist in the diagnosis and therapy of human diseases. This Special Issue of Fluids aims to be a forum for scientists and engineers from academia and industry to present and discuss recent developments in the field of biomedical engineering. It contains papers that tackle, both numerically (Computational Fluid Dynamics studies) and experimentally, biomedical engineering problems, with a diverse range of studies focusing on the fundamental understanding of fluid flows in biological systems, modelling studies on complex rheological phenomena and molecular dynamics, design and improvement of lab-on-a-chip devices, modelling of processes inside the human body as well as drug delivery applications. Contributions have focused on problems associated with subjects that include hemodynamical flows, arterial wall shear stress, targeted drug delivery, FSI/CFD and Multiphysics simulations, molecular dynamics modelling and physiology-based biokinetic models.

Colloids and Interfaces in Oil Recovery

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ISBN: 9783039211067 9783039211074 Year: Pages: 234 DOI: 10.3390/books978-3-03921-107-4 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Added to DOAB on : 2019-06-26 08:44:06
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It is well-known that colloid and interface science and petroleum production are inextricably linked. Whether in the reservoir, with its porous structure, or during recovery, crude oil is intimately associated with rock surfaces and with water, often in the form of emulsions. This situation leads to highly complex systems, comprising multiple colloids and interfaces, which require to be optimized if oil is to be recovered efficiently, both in terms of economic cost and with due concern for the environment. This book contains a compilation of contemporary research topics which illustrate various aspects of the importance of colloids and interfaces in crude oil recovery through modifying conditions between the rock, crude oil, and water in the reservoir, in order to achieve improved oil recovery. The specific topics covered relate both to conventional oils, in which waterflooding is the most common secondary and tertiary means of recovery, and to non-conventional heavy oil and natural bitumen, which require thermal recovery methods, owing to their high viscosity.

Mathematical Modeling of Fluid Flow and Heat Transfer in Petroleum Industries and Geothermal Applications

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ISBN: 9783039287208 / 9783039287215 Year: Pages: 470 DOI: 10.3390/books978-3-03928-721-5 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering
Added to DOAB on : 2020-06-09 16:38:57
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Geothermal energy is the thermal energy generated and stored in the Earth's core, mantle, and crust. Geothermal technologies are used to generate electricity and to heat and cool buildings. To develop accurate models for heat and mass transfer applications involving fluid flow in geothermal applications or reservoir engineering and petroleum industries, a basic knowledge of the rheological and transport properties of the materials involved (drilling fluid, rock properties, etc.)—especially in high-temperature and high-pressure environments—are needed. This Special Issue considers all aspects of fluid flow and heat transfer in geothermal applications, including the ground heat exchanger, conduction and convection in porous media. The emphasis here is on mathematical and computational aspects of fluid flow in conventional and unconventional reservoirs, geothermal engineering, fluid flow, and heat transfer in drilling engineering and enhanced oil recovery (hydraulic fracturing, CO2 injection, etc.) applications.

Keywords

dynamic hydraulic-fracturing experiments --- dynamic crack tip --- fluid front kinetics --- energy conservation analysis --- cost-effective --- frequency conversion technology (FCT) --- ventilation --- methane removal --- computational fluid dynamic (CFD) --- spatiotemporal characteristics --- capacitance-resistance model --- aquifer support --- inter-well connectivity --- production optimization --- karst carbonate reservoir --- tight reservoir --- huff-‘n-puff --- fracture simulation --- enhanced oil recovery --- CO2 diffusion --- percolation model --- fractal theory --- microstructure --- critical porosity --- conductivity --- permeability --- tight oil reservoirs --- fracture compressibility --- numerical simulation --- flowback --- fracture uncertainty --- enhanced geothermal systems --- multiple parallel fractures --- semi-analytical solution --- main gas pipeline --- pressure fluctuations --- unsteady process --- multifractal theory --- fractal theory --- pore structure --- mercury intrusion porosimetry --- pore size distribution --- natural gas --- pipeline network --- continuity/momentum and energy equations coupled --- efficient simulation --- enhanced gas recovery --- longitudinal dispersion coefficient --- injection orientation --- supercritical CO2 --- CO2 permeability --- Coal excavation --- coal and rock fracture --- multiple structural units (MSU) --- energy dissipation --- AE energy --- cement --- non-Newtonian fluids --- rheology --- variable viscosity --- diffusion --- underground coal gasification (UCG) --- economics --- cost of electricity (COE) --- techno-economic model --- methanol --- ammonia --- carbon capture and storage (CCS) --- carbon capture and utilization (CCU) --- electricity generation --- process simulation --- fractal --- slippage effect --- Knudsen diffusion --- surface diffusion --- apparent permeability --- wellbore temperature --- bottom-hole pressure --- multi-pressure system --- comprehensive heat transfer model --- leakage and overflow --- GSHP (ground source heat pump) --- heat transfer --- coupled heat conduction and advection --- nest of tubes --- three-dimensional numerical simulation --- sloshing --- real-scale --- highly viscous fluids --- Navier-Stokes equations --- impact pressure --- flowback --- complex fracture network --- shale oil --- porous media --- fractal theory --- particles model --- permeability --- tube bundle model --- cement slurries --- non-Newtonian fluids --- rheology --- constitutive relations --- viscosity --- yield stress --- thixotropy --- mathematical modeling --- computational fluid dynamics (CFD) --- drilling --- porous media --- multiphase flow --- hydraulic fracturing --- geothermal --- enhanced oil recovery

Recent Advances in Mechanics of Non-Newtonian Fluids

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ISBN: 9783039283088 9783039283095 Year: Pages: 252 DOI: 10.3390/books978-3-03928-309-5 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering
Added to DOAB on : 2020-04-07 23:07:08
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Non-Newtonian (non-linear) fluids are common in nature, for example, in mud and honey, but also in many chemical, biological, food, pharmaceutical, and personal care processing industries. This Special Issue of Fluids is dedicated to the recent advances in the mathematical and physical modeling of non-linear fluids with industrial applications, especially those concerned with CFD studies. These fluids include traditional non-Newtonian fluid models, electro- or magneto-rheological fluids, granular materials, slurries, drilling fluids, polymers, blood and other biofluids, mixtures of fluids and particles, etc.

Keywords

inhomogeneous fluids --- non-newtonian fluids --- lubrication approximation (76A05, 76D08, 76A20) --- particle interaction --- viscoplastic fluid --- Bingham fluid --- computational fluid dynamics --- porous media --- convection --- Bingham fluid --- yield stress --- channel flow --- power-law fluid --- shear-dependent viscosity --- Reynolds equation --- lubrication approximation --- lid-driven cavity --- projection method --- shear-thinning --- aspect ratio --- Re numbers --- Brinkman equation --- viscosity ratio --- first- and second-order slip --- similarity transformation --- porous medium --- generalised simplified PTT --- Phan-Thien–Tanner (PTT) model --- Mittag–Leffler --- Couette flow --- Poiseuille–Couette flow --- non-isothermal flows --- creeping flows --- viscous fluid --- optimal control --- boundary control --- pressure boundary conditions --- weak solution --- existence theorem --- marginal function --- hemoglobin --- biological capacitor --- non-equilibrium thermodynamics --- hemoglobe capacitor --- thermodynamic capacitor --- smoothed particle hydrodynamics (SPH) --- meshless --- fluid-solid interaction (FSI) --- membrane --- rupture --- SPH-FEM --- stokesian dynamics --- dense suspension --- rheology --- bubble suspension --- suspension viscosity --- Gamma densitometer --- high viscosity oil --- slug translational velocity --- closure relationship --- wormlike micellar solutions (WMS) --- enhanced oil recovery (EOR) --- chemical EOR (cEOR) --- viscoelastic surfactants (VES) --- non-linear fluids --- variable viscosity --- natural convection --- convection-diffusion --- buoyancy force --- lubrication --- suspensions --- viscoplastic fluids --- cement --- biofluids --- oil recovery --- porous media

Advances in Polyhydroxyalkanoate (PHA) Production, Volume 2

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ISBN: 9783039286409 / 9783039286416 Year: Pages: 202 DOI: 10.3390/books978-3-03928-641-6 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- Biotechnology
Added to DOAB on : 2020-06-09 16:38:57
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Nowadays, we are witnessing highly dynamic research activities related to the intriguing field of biodegradable materials with plastic-like properties. These activities are stimulated by the strengthened public awareness of prevailing ecological issues connected to growing piles of plastic waste and increasing greenhouse gas emissions; this goes hand-in-hand with the ongoing depletion of fossil feedstocks, which are traditionally used to produce full carbon backbone polymers. Polyhydroxyalkanoate (PHA) biopolyesters, a family of plastic-like materials with versatile material properties, are increasing considered to be a future-oriented solution for diminishing these concerns. PHA production is based on renewable resources and occurs in a bio-mediated fashion through the action of living organisms. If accomplished in an optimized way, PHA production and the entire PHA lifecycle are embedded into nature´s closed cycles of carbon. Sustainable and efficient PHA production requires understanding and improvement of all the individual process steps. Holistic improvement of PHA production, applicable on an industrially relevant scale, calls for, inter alia, consolidated knowledge about the enzymatic and genetic particularities of PHA-accumulating organisms, an in-depth understanding of the kinetics of the bioprocess, the selection of appropriate inexpensive fermentation feedstocks, tailoring of PHA composition at the level of its monomeric constituents, optimized biotechnological engineering, and novel strategies for PHA recovery from biomass characterized by low energy and chemical requirements. This Special Issue represents a comprehensive compilation of articles in which these individual aspects have been addressed by globally recognized experts.

Keywords

polyhydroxyalkanoate (PHA), bioprocess design --- carbon dioxide --- cyanobacteria --- upstream processing --- Archaea --- bioeconomy --- biopolyester --- downstream processing --- extremophiles --- haloarchaea --- Haloferax --- halophiles --- polyhydroxyalkanoates --- salinity --- polyhydroxyalkanoates --- terpolymer --- P(3HB-co-3HV-co-4HB) --- Cupriavidus malaysiensis --- polyhydroxyalkanoates --- biomedicine --- biomaterials --- Poly(3-hydroxybutyrate) --- tissue engineering --- wound healing --- delivery system --- poly(3-hydroxybutyrate-co-3-hydroxyvalerate) (PHVB) --- poly(3-hydroxybutyrate-co-4-hydroxybutyrate) --- bubble column bioreactor --- COMSOL --- microorganism --- PHB --- simulation --- polyhydroxyalkanoate --- PHA --- process analytical technologies --- PAT --- plant oil --- high-cell-density fed-batch --- photon density wave spectroscopy --- PDW --- Ralstonia eutropha --- Cupriavidus necator --- on-line --- in-line --- polyhydroxyalkanoates --- fed-batch --- productivity --- Pseudomonas --- bioreactor --- microaerophilic --- PHA --- viscosity --- non-Newtonian fluid --- fed-batch fermentation --- oxygen transfer --- Pseudomonas putida --- medium-chain-length polyhydroxyalkanoate (mcl-PHA) --- alginate --- biosurfactants --- biopolymer --- Pseudomonas --- blends --- film --- polyhydroxyalkanoates processing --- electrospinning --- additive manufacturing --- selective laser sintering --- fused deposition modeling --- computer-aided wet-spinning --- polyhydroxybutyrate --- tequila bagasse --- hydrolysate detoxification --- activated charcoal --- phenolic compounds --- biomedical application --- cyanobacteria --- feedstocks --- gaseous substrates --- haloarchaea --- high cell density cultivation --- in-line monitoring --- PHA composition --- PHA processing --- polyhydroxyalkanoate --- process engineering --- process simulation --- Pseudomonas sp. --- rheology --- terpolyester --- waste streams

Symmetry and Fluid Mechanics

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ISBN: 9783039284269 9783039284276 Year: Pages: 446 DOI: 10.3390/books978-3-03928-427-6 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering
Added to DOAB on : 2020-04-07 23:07:09
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Since the 1980s, attention has increased in the research of fluid mechanics due to its wide application in industry and phycology. Major advances have occurred in the modeling of key topics such Newtonian and non-Newtonian fluids, nanoparticles, thermal management, and physiological fluid phenomena in biological systems, which have been published in this Special Issue on symmetry and fluid mechanics for Symmetry. Although, this book is not a formal textbook, it will be useful for university teachers, research students, and industrial researchers and for overcoming the difficulties that occur when considering the nonlinear governing equations. For such types of equations, obtaining an analytic or even a numerical solution is often more difficult. This book addresses this challenging job by outlining the latest techniques. In addition, the findings of the simulation are logically realistic and meet the standard of sufficient scientific value.

Keywords

stagnation point flow --- numerical solution --- magnetic field --- nanofuid --- unsteady rotating flow --- porous medium --- aqueous suspensions of CNT’s --- nonlinear thermal radiation --- viscous dissipation effect --- HAM --- chemical reaction --- activation energy --- peristalsis --- couple stress fluid --- nanoparticle --- Keller-box method --- Newtonian heating --- nonlinear thermal radiation --- nonlinear stretching cylinder --- homogeneous/heterogeneous reactions --- nanofluid --- steady laminar flow --- nanofluid --- heat source/sink --- magnetic field --- stretching sheet --- SWCNT/MWCNT nanofluid --- thin needle --- classical and fractional order problems --- APCM technique --- SWCNTs --- MWCNTs --- stretched surface --- rotating system --- nanofluid --- MHD --- thermal radiation --- HAM --- nonlinear hydroelastic waves --- uniform current --- thin elastic plate --- solitary waves --- PLK method --- Permeable walls --- suction/injection --- nanofluids --- porous medium --- mixed convection --- magnetohydrodynamic (MHD) --- dual solution --- stability analysis --- Darcy Forchheimer model --- nanofluid --- exponential sheet --- Jeffrey fluid --- laminar g-Jitter flow --- inclined stretching sheet --- heat source/sink --- Magnetohydrodynamic (MHD) --- Jefferey, Maxwell and Oldroyd-B fluids --- Cattaneo–Christov heat flux --- homogeneous–heterogeneous reactions --- analytical technique --- Numerical technique --- viscous fluid --- Caputo–Fabrizio time-fractional derivative --- Laplace and Fourier transformations --- side walls --- oscillating shear stress --- forced convection --- microducts --- Knudsen number --- Nusselt number --- artificial neural networks --- particle swarm optimization --- Casson fluid --- chemical reaction --- cylinder --- heat generation --- magnetohydrodynamic (MHD) --- slip --- Carreau fluid --- Cattaneo–Christov heat flux model --- convective heat boundary condition --- temperature dependent thermal conductivity --- homogeneous-heterogeneous reactions --- integer and non-integer order derivatives --- GO-W/GO-EG nanofluids --- Marangoni convection --- FDE-12 numerical method --- couple stress fluid --- Hafnium particles --- Couette–Poiseuille flow --- shooting method --- magnetic field --- Darcy–Brinkman porous medium --- viscous dissipation --- slip conditions --- porous dissipation --- permeable sheet --- stretchable rotating disk --- CNTs (MWCNTs and SWCNTs) --- velocity slip --- convective boundary condition --- OHAM --- Casson fluid model --- rotating rigid disk --- nanoparticles --- Magnetohydrodynamics (MHD) --- Oil/MWCNT nanofluid --- heat transfer --- finite volume method --- laminar flow --- slip coefficient --- microchannel --- arched surface --- nonlinear thermal radiation --- molecular diameter --- Al2O3 nanoparticles --- streamlines --- isotherms --- RK scheme --- peristaltic transport --- tapered channel --- porous medium --- smart pumping for hemodialysis --- thermal radiation --- compressible viscous flow --- symmetric linear equations --- generalized finite difference scheme --- kernel gradient free --- Lagrangian approach --- Newtonian and non-Newtonian fluids --- nanofluids and particle shape effects --- convective heat and mass transfer --- steady and unsteady flow problems --- multiphase flow simulations --- fractional order differential equations --- thermodynamics --- physiological fluid phenomena in biological systems

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