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SOME PROPERTIES OF T0 FUZZY SOFT TOPOLOGICAL SPACES IN QUASI-COINCIDENCE SENSE 拟重合意义下模糊软拓扑空间的一些性质
JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES Pub Date : 2022-04-27 DOI: 10.26782/jmcms.2022.04.00002
R. Amin
{"title":"SOME PROPERTIES OF T0 FUZZY SOFT TOPOLOGICAL SPACES IN QUASI-COINCIDENCE SENSE","authors":"R. Amin","doi":"10.26782/jmcms.2022.04.00002","DOIUrl":"https://doi.org/10.26782/jmcms.2022.04.00002","url":null,"abstract":"In this paper, we have introduced and studied some new notions of T0 separation axiom in fuzzy soft topological spaces using quasi-coincident relation for fuzzy soft points. We have shown a relationship between ours and other counterparts and observed that all these notions satisfy good extension, hereditary, productive, and projective properties. Moreover, we have also shown that these notions are preserved under one-one, onto, and fuzzy soft continuous mappings. Finally, initial and final soft topologies are studied also.","PeriodicalId":254600,"journal":{"name":"JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125354109","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
HEAT TRANSFER PROPERTY OF METALLIC NANOFLUIDS – A STUDY 金属纳米流体的传热特性研究
JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES Pub Date : 2022-03-28 DOI: 10.26782/jmcms.2022.03.00004
Anirban Das
{"title":"HEAT TRANSFER PROPERTY OF METALLIC NANOFLUIDS – A STUDY","authors":"Anirban Das","doi":"10.26782/jmcms.2022.03.00004","DOIUrl":"https://doi.org/10.26782/jmcms.2022.03.00004","url":null,"abstract":"Prolonged use of domestic and industrial applications gives rise to high heat generation in the systems. Smart materials like nanofluids can be useful to overcome this modern-day problem. In this study we are reporting the water-based nanofluids, to challenge this problem. Due to the availability of water in Bengal, the simplest solution for cooling a machine is to flow water surrounding it. The nanofluids we have synthesized are metallic nanoparticles dispersed in water, which is considered as base fluid. The heat capacity and thermal conductivity of the nanofluids were predicted by the equilibrium molecular dynamics (EMD) simulation. It is observed that dispersed nanoparticles help an enchantment in thermal-conductivity of the fluids whereas the heat capacity decreases by a small value. The low-cost sol-gel method was used to synthesize the Cu and Ag nanoparticles and later disperses the same in distilled water in suitable wt%. Nanofluids were subjected to ultrasonic studies around room temperature. The thermal conductivity of the used fluids is the function of the velocity values of ultrasonic wave propagation through the fluid system. The experimental measured thermal-conductivity values show an enhancement of about 30% in comparison to the base fluid water in ambient temperature.","PeriodicalId":254600,"journal":{"name":"JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124632181","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
NUMERICAL SIMULATION ON-TIME EVALUATION OF PLASMA DRUG CONCENTRATIONS FOR ONE-COMPARTMENT MODEL IN PRESENCE OF DRUG INFUSION 药物输注时单室模型血浆药物浓度的数值模拟实时评估
JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES Pub Date : 2022-03-28 DOI: 10.26782/jmcms.2022.03.00005
P. Pal
{"title":"NUMERICAL SIMULATION ON-TIME EVALUATION OF PLASMA DRUG CONCENTRATIONS FOR ONE-COMPARTMENT MODEL IN PRESENCE OF DRUG INFUSION","authors":"P. Pal","doi":"10.26782/jmcms.2022.03.00005","DOIUrl":"https://doi.org/10.26782/jmcms.2022.03.00005","url":null,"abstract":"In the present numerical study, we apply an ODE IVP to plasma drug concentrations for a one-compartment model in presence of drug infusion. Solution procedure is done in a Matlab environment. The outcome shows that the infusion rate at time t = 4 h is discontinuous but the corresponding plasma concentration-time profile looks smooth at that time.","PeriodicalId":254600,"journal":{"name":"JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES","volume":"452 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116746240","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A FUZZY INVENTORY MODEL WITH EXPONENTIALLY PRICE AND TIME-DEPENDENT DEMAND UNDER EXPONENTIALLY BACKLOGGED SITUATION 指数积压情况下具有指数价格和时间依赖需求的模糊库存模型
JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES Pub Date : 2022-03-28 DOI: 10.26782/jmcms.2022.03.00003
Zeba Khanam
{"title":"A FUZZY INVENTORY MODEL WITH EXPONENTIALLY PRICE AND TIME-DEPENDENT DEMAND UNDER EXPONENTIALLY BACKLOGGED SITUATION","authors":"Zeba Khanam","doi":"10.26782/jmcms.2022.03.00003","DOIUrl":"https://doi.org/10.26782/jmcms.2022.03.00003","url":null,"abstract":"In this study, we have proposed a fuzzy inventory model for deteriorating items with exponential price and time-dependent demand under inflation. Shortages are allowed partially with the rate of exponential duration of waiting time up to the arrival of the next lot. The inventory parameters are considered as fuzzy valued. The corresponding problem has been formulated as a nonlinearly constrained optimization problem. A numerical example has been considered to illustrate the model and the significant features of the results are discussed. Finally, based on these examples, sensitivity analyses have been studied by taking one parameter at a time keeping the other parameters as same.","PeriodicalId":254600,"journal":{"name":"JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126268324","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A NOVEL CONCEPT IN THEORY OF QUADRATIC EQUATION 二次方程理论中的一个新概念
JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES Pub Date : 2022-03-28 DOI: 10.26782/jmcms.2022.03.00006
P. Bhattacharyya
{"title":"A NOVEL CONCEPT IN THEORY OF QUADRATIC EQUATION","authors":"P. Bhattacharyya","doi":"10.26782/jmcms.2022.03.00006","DOIUrl":"https://doi.org/10.26782/jmcms.2022.03.00006","url":null,"abstract":"The basic idea of a quadratic equation is one of the most important topics in algebra. The mathematical concept for the method of solution of a quadratic equation is dependent on the advancement of the theory of numbers. The author developed a new concept regarding the method of solution of the quadratic equation based on “Theory of Dynamics of Numbers”. The author determined the inherent nature of one unknown quantity (say x) from the quadratic expression ax2+bx+c of the quadratic equation ax2+bx+c=0 by keeping the structure of the second-degree expression intact and then finding the solution of the quadratic equation using the novel concept of the Theory of Dynamics of Numbers. The author solved any quadratic equation in one unknown number (say x) of the quadratic equation in the form of ax2+bx+c=0, whether the numerical value of the discriminant is b2-4ac≥0 or b2-4ac<0, is real numbers only without using any imaginary numbers. With these new inventive concepts, the author developed new theories in the theory of quadratic equation.","PeriodicalId":254600,"journal":{"name":"JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121235153","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
TYRE PROFILE ARITHMETIC AND PERFORMANCE PARAMETER: A REVIEW OF VEHICLE USERS AND VULCANIZERS’ COGNIZANCE ON CAR TYRE MAINTENANCE TO CURB ROAD ACCIDENTS 轮胎轮廓算法和性能参数:车辆使用者和硫化商对汽车轮胎维修的认识综述，以遏制道路事故
JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES Pub Date : 2022-03-28 DOI: 10.26782/jmcms.2022.03.00001
Samuel Baah-Duodu
{"title":"TYRE PROFILE ARITHMETIC AND PERFORMANCE PARAMETER: A REVIEW OF VEHICLE USERS AND VULCANIZERS’ COGNIZANCE ON CAR TYRE MAINTENANCE TO CURB ROAD ACCIDENTS","authors":"Samuel Baah-Duodu","doi":"10.26782/jmcms.2022.03.00001","DOIUrl":"https://doi.org/10.26782/jmcms.2022.03.00001","url":null,"abstract":"Ageing car tyres are a hidden hazard and recipe for road accidents. Many vehicle users and their cohorts seem unconcerned and ignorant about tyre profile and its implications on human lives and livelihood. This study reviewed car users’ and vulcanizers’ comprehension of basic arithmetic of vehicle tyre profile to instigate best practices as well as instil proper maintenance culture. Out of 307 participants, purposive and convenient sampling were employed to select 292 vehicle users and a snowball to contact 15 vulcanizers. Results after a short interview analysis revealed that car users are aware of tyre inflation pressure and could identify the rim diameter of car tyres. Meanwhile, a significant number of users couldn’t tell where to locate their vehicle tyre specification details on their cars and were also unable to interpret tyre profiles including; tyre life cycle, tyre blend, tyre speed rating and load index. Although the majority of the vehicle users carried spare tyres, most of them do not check the conditions of their spare tyres until they are in need. Responses from vulcanizers revealed that most vehicle users do not bother about tyre expiry dates but rather prefer tyre fixing to tyre replacements. It is recommended that the Leaders of Transport Unions of commercial vehicles need to ensure proper load weight of vehicles before setting off from their terminals. Drivers and Vehicle License Authority (DVLA) needs to ensure healthy tyre condition before issuing roadworthy certificates. National Road Safety Authority (NRSA) must maximize sensitization campaigns towards proper tyre maintenance practices to reduce tyre failure accidents.","PeriodicalId":254600,"journal":{"name":"JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES","volume":"127 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122461920","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
THERMAL EFFECT ON BUBBLE RISE – AN EXPERIMENTAL STUDY 气泡上升的热效应实验研究
JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES Pub Date : 2022-03-28 DOI: 10.26782/jmcms.2022.03.00002
K. K. Dhar
{"title":"THERMAL EFFECT ON BUBBLE RISE – AN EXPERIMENTAL STUDY","authors":"K. K. Dhar","doi":"10.26782/jmcms.2022.03.00002","DOIUrl":"https://doi.org/10.26782/jmcms.2022.03.00002","url":null,"abstract":"This paper presents the findings of an experimental study on the effect of temperature gradient on bubble rise velocity in water. At the bottom of the chamber holding water, a bubble (equivalent diameter, req 1 mm) is created and rises through it. At a height of 60 cm from the chamber’s bottom, a high-speed camera (1000 fps, Kodak, Model 1000 HRC) is mounted with a 90 mm Macro lens. It is connected to a computer. For image capture and processing, the commercial tools Sigma Scan Pro 5.0 and Adobe Photoshop are used. The chamber can be heated with infrared light, resulting in a constant temperature gradient of 1.10C/cm between 30 and 40 cm above the needle in the water. Bubble rise characteristics, such as bubble size and rise velocity, are determined both in the presence and absence of a temperature gradient. The current study clearly demonstrates that this gradient causes an additional increase in terminal rise velocity.","PeriodicalId":254600,"journal":{"name":"JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130481366","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
LOCAL STABILITY ANALYSIS OF A PREDATOR-PREY DYNAMICS INCORPORATING BOTH SPECIES DENSITY INCREASING FUNCTIONAL RESPONSE 考虑物种密度增加功能响应的捕食者-猎物动态的局部稳定性分析
JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES Pub Date : 2022-01-21 DOI: 10.26782/jmcms.2022.01.00006
Shilpa Samaddar
{"title":"LOCAL STABILITY ANALYSIS OF A PREDATOR-PREY DYNAMICS INCORPORATING BOTH SPECIES DENSITY INCREASING FUNCTIONAL RESPONSE","authors":"Shilpa Samaddar","doi":"10.26782/jmcms.2022.01.00006","DOIUrl":"https://doi.org/10.26782/jmcms.2022.01.00006","url":null,"abstract":"Most of the functional responses which have been incorporated to formulate mathematical biology consider individual contact or predator cooperation. In this study, we have introduced a different functional response that describes the prey-predator system when predators form a line and cooperatively attack a group of predators. We have also described the effect of prey on this system. Additionally, we find all the equilibrium points and their local stability behaviour.","PeriodicalId":254600,"journal":{"name":"JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES","volume":"113 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126903811","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
FIXATION OF THE RELATION BETWEEN FREQUENCY AND AMPLITUDE FOR NONLINEAR OSCILLATOR HAVING FRACTIONAL TERM APPLYING MODIFIED MICKENS’ EXTENDED ITERATION METHOD 应用改进的米肯斯扩展迭代法固定分数阶非线性振子的频幅关系
JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES Pub Date : 2022-01-21 DOI: 10.26782/jmcms.2022.01.00007
M. M. Ayub Hossain
{"title":"FIXATION OF THE RELATION BETWEEN FREQUENCY AND AMPLITUDE FOR NONLINEAR OSCILLATOR HAVING FRACTIONAL TERM APPLYING MODIFIED MICKENS’ EXTENDED ITERATION METHOD","authors":"M. M. Ayub Hossain","doi":"10.26782/jmcms.2022.01.00007","DOIUrl":"https://doi.org/10.26782/jmcms.2022.01.00007","url":null,"abstract":"A modified extended iteration procedure is applied to compute the analytical periodic solutions of the nonlinear oscillator having fractional terms. A nonlinear oscillator with force is given to demonstrate the effectiveness and expediency of the iteration scheme. Mickens’ extended iteration method is a well-established method for studying random oscillations. The method is also simple and straightforward to accomplish approximate frequency and the corresponding periodic solution of the strongly nonlinear oscillator. The method gives high validity for both small and large initial amplitudes of oscillations. We have used an appropriate truncation of the obtained Fourier cosine series in each step of iterations to determine the approximate analytic solution of the oscillators. The second, third, and fourth approximate frequencies of the truly nonlinear oscillator with force show a good agreement with their exact values. Also, we have compared the calculated results with some of the existing results. We have shown that the method performs reasonably better.","PeriodicalId":254600,"journal":{"name":"JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116269239","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
HYDROTHERMAL BEHAVIOR OF FLUID FLOW AND HEAT TRANSFER THROUGH A BENDING SQUARE CHANNEL 弯曲方形通道中流体流动和传热的热液行为
JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES Pub Date : 2022-01-21 DOI: 10.26782/jmcms.2022.01.00004
Selim Hussen
{"title":"HYDROTHERMAL BEHAVIOR OF FLUID FLOW AND HEAT TRANSFER THROUGH A BENDING SQUARE CHANNEL","authors":"Selim Hussen","doi":"10.26782/jmcms.2022.01.00004","DOIUrl":"https://doi.org/10.26782/jmcms.2022.01.00004","url":null,"abstract":"The numerous applications in medical fields as well as in industrial areas have drawn substantial attention of the researchers to study the fluid flow and heat transfer (HT) through a bent duct. The present paper demonstrates a spectral-based numerical study of 2D flow in a bent square geometry for various curvature ratios. The numerical calculation has been conducted over Dn, and the curvature ranges from 0.001 to 0.5. The horizontal walls are thermally different where the bottom wall is heated while the ceiling wall cooled, the vertical walls being thermally insulated. After an extensive investigation, we found two branching structures of the solution, each consisting of two branches with 2- to 8-vortex solutions for small and medium curvatures while three branches of solution structure for large curvature. The instability of the flow is then calculated by performing time-evolution (TEv) analysis and by sketching the phase-space (PS) of the solutions. This study also demonstrates that the HT is significantly boosted with the effect of secondary flows (SF) and the increasing secondary vortices boost heat transfer more effectively than other physically realizable solutions.","PeriodicalId":254600,"journal":{"name":"JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121268263","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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