Pub Date : 2022-04-27DOI: 10.26782/jmcms.2022.04.00002
R. Amin
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.
{"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}
Pub Date : 2022-03-28DOI: 10.26782/jmcms.2022.03.00004
Anirban Das
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.
{"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}
Pub Date : 2022-03-28DOI: 10.26782/jmcms.2022.03.00005
P. Pal
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.
{"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}
Pub Date : 2022-03-28DOI: 10.26782/jmcms.2022.03.00003
Zeba Khanam
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.
{"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}
Pub Date : 2022-03-28DOI: 10.26782/jmcms.2022.03.00006
P. Bhattacharyya
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.
{"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}
Pub Date : 2022-03-28DOI: 10.26782/jmcms.2022.03.00001
Samuel Baah-Duodu
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.
{"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}
Pub Date : 2022-03-28DOI: 10.26782/jmcms.2022.03.00002
K. K. Dhar
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.
本文介绍了温度梯度对水中气泡上升速度影响的实验研究结果。在装水的腔室底部，产生一个气泡(直径相等，要求1毫米)并通过它上升。在距舱底60厘米的高度，安装了一个90毫米微距镜头的高速相机(1000 fps，柯达，Model 1000 HRC)。它与电脑相连。对于图像捕获和处理，使用商业工具Sigma Scan Pro 5.0和Adobe Photoshop。该腔室可以用红外光加热，从而在水中针头上方30至40厘米之间产生1.10C/cm的恒温梯度。气泡的上升特性，如气泡大小和上升速度，是在温度梯度存在和不存在的情况下确定的。目前的研究清楚地表明，这种梯度导致终端上升速度的额外增加。
{"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}
Pub Date : 2022-01-21DOI: 10.26782/jmcms.2022.01.00006
Shilpa Samaddar
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.
{"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}
Pub Date : 2022-01-21DOI: 10.26782/jmcms.2022.01.00007
M. M. Ayub Hossain
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.
{"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}
Pub Date : 2022-01-21DOI: 10.26782/jmcms.2022.01.00004
Selim Hussen
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.
{"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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：