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12 articles for “Free Equilibrium”
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Transport Phenomena of Hepatitis B with Special Reference to Jacobian Matrix in the Null Space
Abstract: A mathematical model representing the transmission dynamics of Hepatitis B virus was presented with system of non-linear differential equations which explain the interaction of Acute, Chronic, Recovered, Treatment, Vaccinated classes of the infection with another epidemiological parameter. The aim of this work is to carry out detailed sensitivity analysis of the model parameters. The disease-free equilibrium points and basic reproduction number of the cases were analyzed. Sensitivity analysis of R0 …
Published in Research & Reviews : Journal of Physics · Vol. 11, Issue 1, 2022 · pp. 16–22 Read article
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Flexure and vibration of thick beams using trigonometric shear deformation theory
Abstract: A trigonometric shear deformation theory is used for flexural analysis of thick beams, taking into account transverse shear deformation effect. The theory accounts for cosine distribution of transverse shear strain through the thickness of the beam. The governing differential equations and boundary conditions are obtained by using the principle of virtual work. The general solutions for the transverse displacement and rotation are presented for transversely loaded beams. The solutions for …
Published in Journal of Experimental & Applied Mechanics · Vol. 1, Issue 1, 2010 · pp. 1–27 Read article
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A Discrete Layer Shear Deformation Theory for Flexure of Thick Cross-ply Laminated Beams
Abstract: A discrete layer shear deformation theory taking into account transverse shear deformation effects, is presented for flexure of two layered (90/0) cross ply laminated beams. The displacement field of the theory contains two variables. Theory does not require shear correction factor. The sinusoidal function is used in the displacement field in terms of thickness coordinate to represent shear deformation. Transverse shear stress can be obtained from the use of constitutive …
Published in Journal of Experimental & Applied Mechanics · Vol. 2, Issue 1, 2011 · pp. 1–16 Read article
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Multi-Scale Analysis of Polymer Based Energy Storage Systems for High Performance Battery Applications
Abstract: The energy storage systems based on polymers are becoming promising materials for the next generation of high performance batteries because of their excellent mechanical flexibility, improved safety, and favorable electrochemical properties. Even with computational tools in Python, polymer-based energy storage systems remain plagued by poor ionic conductivity, complicated electrochemical reactions and potential thermal runaway. Therefore, a multi-scale model is proposed to improve battery performance, thermal stability, reliability, and large-scale deployment …
Published in Journal of Polymer & Composites · Vol. 14, Issue 3, 2026 · pp. 1035–1048 Read article
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Thermal Response of Thick Beam Subjected to Thermo-mechanical Loads by Using HyperbolicShear Deformation Theory
Abstract: In this paper, a hyperbolic shear deformation theory (HPSDT) taking into account transverse shear deformation effect is presented for thermo-mechanical stress analysis of thick isotropic beam subjected to thermo-mechanical. The displacement field contains two variables. The hyperbolic sine and cosine function is used in the displacement field in terms of thickness Co-ordinate to represent the effect of shear deformation. The most important feature of the theory is that, the transverse …
Published in Journal of Structural Engineering and Management · Vol. 3, Issue 3, 2016 · pp. 22–30 Read article
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Mathematical Model of a Silica Gel Water Adsorption Refrigeration System at Adsorption Equilibrium
Abstract: CFC (ChloroFluoroCarbon) and HCFC (HydroFluoroCarbon) refrigerants, which are used for vapour compression refrigeration cycles cause serious environment problems. So research is going on solar refrigeration (producing cooling effect using solar energy is a promising way to achieve sustainable development, since the energy used is free and not harmful for the environment) and also used for environment friendly refrigerants. In this paper, heat and mass transfer analysis of adsorption refrigeration system …
Published in Journal of Refrigeration, Air conditioning, Heating and ventilation · Vol. 1, Issue 2, 2014 · pp. 24–30 Read article
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Simulation of Biomass Gasification in Downdraft Gasifier Using Aspen Plus
Abstract: Normal 0 false false false EN-US X-NONE X-NONE Generating electrical energy through biomass has advantages besides achieving self-sustainability. Biomass is particularly useful for agriculture dependent economy nations like India. Energy conversion systems based on biomass are particularly interesting because biomass utilization effectively closes the carbon cycle. A comprehensive process model is developed for biomass gasification in an atmospheric fixed bed rector using the ASPEN PLUS simulator. An original equilibrium gasification …
Published in Journal of Alternate Energy Sources & Technologies · Vol. 4, Issue 2, 2013 · pp. 37–47 Read article
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Calcareous Soil as a Promising Adsorbent to Remove Fluoride from Aqueous Solution: Equilibrium, Kinetic and Thermodynamic Study
Abstract: Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4 In this work, the feasibility of employing calcareous soil to remove fluoride ions from its aqueous solutions was investigated under batch mode. The influence of solution pH, sorbent dose, initial fluoride concentration, contact time, stirring rate and temperature on the removal process were investigated. The equilibrium adsorption data were analyzed using Langmuir, Freundlich and Temkin isotherm models. The kinetics of fluoride …
Published in Journal of Modern Chemistry & Chemical Technology · Vol. 3, Issue 3, 2012 · pp. 1–21 Read article
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Numerical Simulation of Transient Free Convection in a Rectangular Cavity Filled with Porous Material Using Finite Element Formulations
Abstract: In this study, the finite element method is used to quantitatively explore transient free convection in porous cavities in order to understand the flow characteristics and heat conduction processes in the square cavities. In comparison to an uniform temperature gradient, the left wall is swiftly heated and the right wall is allowed to cool to a specific temperature. The horizontal walls are insulated on both sides. Dimensionless representations of the …
Published in Journal of Polymer & Composites · Vol. 11, Issue 8, 2023 · pp. 1–10 Read article
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Non-Contact Quantification of Swelling-Induced Deformation in Polymer Hydrogels Using Image Analysis
Abstract: Swelling of polymer hydrogels governs transport, mechanics, and functional performance in biomedical systems, yet it is often reported using bulk ratios that conceal spatially heterogeneous deformation and boundary-driven instabilities. This study presents a non-contact image-analysis framework to quantify swelling-induced deformation by tracking shape and boundary evolution from time-lapse imaging. The approach segments the hydrogel region, extracts a sub-pixel refined contour, and computes boundary displacement descriptors including mean and upper-percentile normal …
Published in Journal of Polymer & Composites · Vol. 14, Issue 2, 2026 · pp. 1499–1509 Read article
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Flexure of Thick Cantilever Beams using Trigonometric Shear Deformation Theory
Abstract: A trigonometric shear deformation theory for flexural analysis of thick beams, taking into account transverse shear deformation effects, is developed. The number of variables in the present theory is same as that in the first order shear deformation theory. The sinusoidal function is used in displacement field in terms of thickness coordinate to represent the shear deformation effects. The noteworthy feature of this theory is that the transverse shear stresses …
Published in Journal of Experimental & Applied Mechanics · Vol. 3, Issue 1, 2012 · pp. 17–31 Read article
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Synthesis and Characterization of pH-Sensitive Poly (N-isopropylacrylamide-co-acrylic Acid) Hydrogels for Controlled Release of Doxorubicin
Abstract: pH-responsive polymeric hydrogels have attracted significant attention as intelligent biomaterials for site-specific and controlled drug delivery in cancer therapy due to their ability to respond to the acidic tumor microenvironment. In the present study, poly (N-isopropylacrylamide-co-acrylic acid) [P(NIPAM-co-AAc)] hydrogels were synthesized via free radical copolymerization and systematically characterized to evaluate their suitability for controlled delivery of doxorubicin, a widely used chemotherapeutic agent. The copolymer hydrogels were prepared using N-isopropylacrylamide and …
Published in Journal of Polymer & Composites · Vol. 14, Issue 1, 2026 · pp. 449–458 Read article