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Background: Non-communicable diseases (NCDs) are most prevalent among the elderly population. Mental illness and chronic disease conditions are of utmost significance when considering their implications on various aspects such as well-being, quality of life, cost of treatment, and longevity of the affected individuals. There is a paucity of data from India to assess the prevalence of NCDs and their relation to depression, anxiety, and stress among the elderly population. Aim: The present study aims to determine the prevalence of NCDs and their relationship with depression, anxiety, and stress (DASS) among the geriatric population that resides in senior citizen homes (Old age homes) in Chennai. Materials and Methods: A cross-sectional study was conducted among the elderly population in old age homes located in Chennai. The research was carried out through offline methods during the period of January 2023 to April 2023. A total of 311 participants were involved in this study who were aged 60 and older. DASS 21 was used to study depression, anxiety, and stress. Results: The overall prevalence of depression was 84.2%, anxiety was 49.2%, and stress was 55.9% among the study participants. The findings of the study show that there is a statistically significant association, the odds of diabetes were 2 times higher (OR- 2.082, 95% CI: 1.225-3.888), the presence of hypertension was nearly 4.1 times higher (OR- 4.116, 95% CI: 2.110-8.030) and the odds of the presence of visual impairment were nearly 1.8 times higher (OR-1.810, 95% CI: 0.976-3.357) in developing the symptoms of depression. Conclusion: Screening of non-communicable diseases (NCDs) such as hypertension, diabetes, etc. for DASS among the elderly population is recommended at regular intervals, as elderly people are considered to be the most vulnerable age group population, worldwide.

This current study investigates the effect of blending bio-lubricant with commercial lubricant on physico-chemical and tribological properties. The synthesis of TMP and PE ester are optimized to obtain 100% long chain tetra-esters and extreme care was taken during preparation of bio-lubricant to lessen deterioration of physio-chemical properties by blending with commercial oil. SM grade commercial petrol engine oil was blended with Tri-methylolpropane (TMP) ester, Penta-erythritol (PE) ester derived from Calophyllum-inophyllum in 10, 15, 20 and 25% v/v. The tests for anti-wear, anti-friction and extreme pressure properties are conducted on the sample oils on a four-ball wear tester. The friction coefficient and wear of bio-lubricant – commercial oil blends have decreased significantly up to 20% blending percentage. In the extreme pressure test, there is a substantial improvement in the weld load and marked improvement in the load wear index signifying the better load-bearing capacity of commercial oil – bio-lubricant blends. A synergy between bio-lubricant and additives in the commercial oil was found from a metallographic examination of worn balls after the EP test. The optimum volume percent of blend was found to be 15% PE blend and 10% TMP blend for optimum overall performance.

In this manuscript, we provide some new results for the existence of fixed points for a certain contractive condition of Geraghty type in the setting of partially ordered $G$-metric space. Also, we provide an example to illustrate the usability of results. Our results generalize or extend many well known results in the literature.

Jaradat has proven some fixed point results using JS-G-contraction on $G-$metric spaces. Choudhury et al. were derived coupled fixed point theorems for the $G-$metric spaces. The purpose of this paper is to prove some coupled fixed point theorems of JS-G-contraction on G-metric spaces. Moreover, some example is presented to illustrate the validity of our results.

This paper aims to prove two general fixed point theorems in multiplicative metric space (MMS) by using reciprocally continuous mappings and conditionally sequential absorbing mappings. Further our outcomes are validated by discussing two appropriate examples.

The present investigation dwells the experimental investigation for the assessment of emission, vibration, and noise parameters of single-cylinder, DI diesel engine functioning through the blends of conventional diesel and Niger seed oil methyl ester (NSOME) at different engine operating loads namely 25%, 50%, 75%, and 100% at a constant speed. The carbon monoxide (CO), unburnt hydrocarbons (UHC), and smoke opacity emissions have come down significantly for all the blends of NSOME namely B10, B20, and B40 while the NOx increased marginally. Besides, the vibration and noise extremity of the engine was lowered while operating with biodiesel blends as compared to conventional diesel. B20 has specified a significant reduction in emission, vibration, and noise too at all the loads range from minimum to maximum. At maximum load condition the CO, UHC, smoke opacity, root mean square (RMS) velocity, and RMS noise of B20 have reduced by 93.9%, 37.87%, 5.54%, 45.78%, and 26.15% respectively even as the NOx was increased by 12.76% compared to standard.

This study is projected to regard as characteristics related to the viability of the preparation of methyl ester from Mesua ferrea oil through transesterification using Trisodium phosphate (Na3PO4) and Tripotassium phosphate (K3PO4). Na3PO4 and K3PO4 have high catalytic properties intended for the reaction of transesterification and cost-effective compared to other catalysts. The transesterification process was undergone at diverse operating constraints such as methanol to oil molar ratio (4:1 to 12:1), catalyst concentration (0.75 to 1.75%), and reaction temperature (55-70oC). The duration of transesterification was fixed at 60 min. The maximum yield was obtained at a molar ratio of 8:1 and a catalyst concentration of 1.25% at a reaction temperature of 65oC for the duration of one hour. The yield of Mesua ferrea oil methyl ester (MFOME) with K3PO4 catalyst has specified more compared to Na3PO4. Further, the MFOME was analyzed for physic-chemical properties and all the properties were found to be matched with ASTM standards. Particularly, the superior cetane number was achieved with MFOME. The biodiesel yield of RSM predicted values using both catalysts were well correlated with experimental results.

The objective of this paper is to generate two results in probabilistic 2-metric space by using the concepts of conditionally sequential absorbing mappings and pseudo reciprocally continuous mappings. These results stand as generalizations of the theorem proved by V. K. Gupta, Arihant Jain and Rajesh Kumar. Further these two outcomes are justified by supporting examples.

The aim of this paper is to establish a common fixed point theorem on Banach space using occasionally weakly compatible (OWC) mappings.

The aim of the paper is to investigate the effect of size of multiwalled carbon nanotubes (MWCNTs) as additives for dispersion in gear oil to improve the tribological properties. Since long pristine MWCNTs tend to form clusters compromising dispersion stability, they are mildly processed in a ball mill to shorten the length and stabilized with a surfactant before dispersing in lubricant. Investigations are made to assess the effect of ball milling on the size and structure of MWCNTs using electron microscopy and Raman spectroscopy. The long and shortened MWCNTs are dispersed in EP 140 gear oil in 0.5% weight. The stability of the dispersed multiwalled carbon nanotubes is evaluated using light scattering techniques. The antiwear, antifriction, and extreme pressure properties of test oils are evaluated on a four-ball wear tester. It is found that ball milling of MWCNTs has a strong effect on the stability and tribological properties of the lubricant. From Raman spectroscopy, it is found that ball milling time of up to 10 hours did not produce any defects on the surface of MWCNTs. The stability of the lubricant and the antiwear, antifriction, and extreme pressure properties have improved significantly with dispersion shortened MWCNTs. Ball milling for longer periods produces defects on the surface of MWCNTs reducing their advantage as oil additives.

The universal percolation behavior i.e. σeff(ω,fcon≈fc)∝ωx and εeff(ω,fcon≈fc)∝ω-y is satisfied; with x + y = 1, where σeff is the effective ac conductivity of the composite, ω is the frequency of applied ac signal and fc is percolation threshold. The exponents (x = 0.72 and y = 0.28) obtained under the inter-cluster polarization model for the case of 3D systems are consistent with the experimental values. The critical exponents s, s′ and t which characterize the divergence of εeff and σeff in the vicinity of fc show non-universal values. The non-universality of s, s′ and t is correlated with the extent of spatial connectivity of filler particles, which is reflected from the experimental values of loss tangent.

Magnesium ferrite, MgFe2O4, (MgFO) nanoparticles (NPs) have been synthesized through sol-gel process. Subsequently, as prepared particles were coated with Zinc-oxide (ZnO) layer(s) through ultrasonication process. Thermal stability, structure and magnetic properties of as-prepared (AP) and annealed samples in the temperature range of 350 °C-1200 °C have been investigated. Structural data suggests that AP MgFO NPs and samples annealed below 500 °C in air exhibit stable ferrite phase. However, α-Fe2O3 and a small fraction of MgO secondary phases appear along with ferrite phase on annealing in the temperatures range 500 °C- 1000 °C. This results in significant changes in magnetic moment for AP NPs 0.77 μB increases to 0.92 μB for 1200 °C air annealed sample. The magnetic properties decreased at intermediate temperatures due to the presence of secondary phases. On the other hand, pure ferrite phase could be stabilized with an optimum amount of ZnO coated MgFO NPs for samples annealed in the temperature range 500 °C-1000 °C with improvement in magnetic behavior compared to that of MgFO samples.

A detailed study of low temperature electrical transport properties of CoxGa100−x (x = 54, 55.5, 57) alloy has been carried out. The origin of the resistivity anomalies and correlation between magnetic and electrical transport properties are identified through an elaborate analysis. The weak localization and enhanced electron-electron interaction effects partially support the electrical transport properties of the system. Further, the observed magnetoresistance can be well represented by localized model along with quantum corrections. The low temperature magnetoresistance value near critical composition is comparable to that reported in giant magnetoresistance materials.

Polymer (polar/nonpolar)/metal composites (PMC) were prepared under different process conditions. In polar PMC, dipolar relaxation plays a predominant role below percolation threshold (fc) and anomalous low frequency dispersion (ALFD) becomes dominant above fc while ALFD is the only likely possibility for nonpolar PMC above fc. The magnitude of relaxation exponents "m", "p" and "n", evaluated from the experimental results using Jonscher's universal dielectric response (JUDR) laws, falls within the universal limit ~ [0, 1] with additional feature of strong dependence on volume fraction of conductor (fcon). The decrease in the relaxation exponent "m" with an increase of fcon is directly linked with decrease in the number of dipoles of the polymer in the composite and is accompanied by a distribution of relaxation time due to increased heterogeneity of the system. The magnitude of the relaxation exponent "n" decreases at fc, due to the prevalence of Maxwell–Wagner–Sillar polarization contributed by uncorrelated electrons.

Given 0≤R1≤R2≤∞, CVG(R1,R2) denotes the class of normalized convex functions f in the unit disc U, for which ∂f(U) satisfies a Blaschke Rolling Circles Criterion with radii R1 and R2. Necessary and sufficient conditions for R1=R2, growth and distortion theorems for CVG(R1,R2) and rotation theorem for the class of convex functions of bounded type, are found.

Spindle cell carcinoma of the tonsillar pillar is a rare malignancy. A case of spindle cell carcinoma of the anterior tonsillar pillar in a 59-year-old man is presented. A growth on the anterior tonsillar pillar, measuring 9×7×6 mm, was resected. The neoplasm occurred as a complication of radiotherapy (excessive cumulative radiation dose of 60 Gray) for carcinoma larynx with a latency period of three years. Postradiation spindle cell carcinoma is an uncommon disease manifesting as sarcoma in a previously irradiated field, usually with a latent period of 5 years or more. Literature is limited to small series. Histologically, this tonsillar growth was composed of a squamous cell carcinoma (epithelial component) and a spindle cell sarcomatous component. The two components of the tumour were confirmed using the immunohistochemical staining (cytokeratin and vimentin). Further p53 positivity of the sarcomatous elements aided in ruling out radiation-induced nonmalignant changes of mesenchymal tissue. This paper discusses this rare tumour in a common setting.

We investigate functions of the form f(z) = z/(1 + 5 0 0 Sne Onz")=2 + E n s O n e " that are analytic in the unitary circle U. Necessary and sufficient conditions in terms of {n}for a trinomial f and the bounds of br, 1 § n 5 4 for a particular form of_ in certain subclasses of univalent functions with univalent Gelfond- Leonter derivatives in U are determined.

The present study numerically investigates the blade tip leakage flow (TLF) over a gas turbine blade cascade at low speed (Mex = 0.1) and transonic (Mex = 0.92) blade exit Mach numbers, with and without shroud motion. Various blade tip flow phenomena like flow separation and reattachment, flow choking, shock-boundary layer interaction (SBLI), and tip leakage vortex (TLV) are studied, and their influence on the heat transfer coefficient (HTC) distributions over the blade tip and near tip blade suction surface is investigated. The study has found some new zones of heat transfer due to the interaction of horseshoe vortices (HSV) with the blade tip. In addition to the primary TLV, a secondary TLV is formed, which increases near tip blade suction surface heat transfer. The flow transitions to supersonic speed in the aft portion of the blade tip for the transonic case resulting in complex heat transfer distribution due to SBLI, compared to near-uniform distribution for the low speed case. This supersonic flow results in a smaller flow separation zone near the aft portion of the pressure side tip edge for the transonic case compared to the low speed case. The qualitative nature of HTC near the leading edge of the blade tip resembles for low speed and transonic cases. However, near the trailing edge of the blade tip, the qualitative nature of HTC for the transonic case shows a substantial difference due to supersonic flow compared to the low speed case. [ABSTRACT FROM AUTHOR]