PramanaPub Date : 2024-11-09DOI: 10.1007/s12043-024-02836-w
Kotha Gangadhar, T Sujana Sree, Abderrahim Wakif, K Subbarao
{"title":"Stefan blowing impact and chemical response of Rivlin–Reiner fluid through rotating convective disk","authors":"Kotha Gangadhar, T Sujana Sree, Abderrahim Wakif, K Subbarao","doi":"10.1007/s12043-024-02836-w","DOIUrl":"10.1007/s12043-024-02836-w","url":null,"abstract":"<div><p>The present investigation of the rotating disk system is highly significant due to its many applications, such as in fluid thermal reactors, regulating fluidic systems and fluid stirring. Subject to the upper functions of the rotating disk, the Stefan blowing into the three-dimensional Reiner–Rivlin (R–R) fluid flow by the rotating disk affect the vertical direction. Thermal radiation and Cattaneo–Christov (CC) energy diffusion effects are examined into considering energy transport. The chemical reaction is accommodated in the concentration equation. The convective boundary conditions are considered in the disk surfaces. The ensuing nonlinear systems are determined by applying the Bvp4c routine along with the shooting method. The obtained outcomes are shown graphically with physical justification. The results show that R–R parameters cause a downturn in the radial and tangential velocity profiles as well as the temperature field. The curves of the temperature profile enhance with higher values of radiation parameter. Although this radiation falls onto the fluid surface and increases the temperature of the liquid as hot particles collide with cold particles, the skin friction coefficients decrease with suction. However, the heat and mass transfer rates are enhanced. The current model has been validated by comparing the simplified version of the investigation to a previously published article and a close agreement has been found.\u0000</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"98 4","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142596042","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
PramanaPub Date : 2024-11-09DOI: 10.1007/s12043-024-02834-y
Abha Kumari, Rajat Tripathi, Amit Kumar
{"title":"Study of the bubble motion inside a peristaltic tube","authors":"Abha Kumari, Rajat Tripathi, Amit Kumar","doi":"10.1007/s12043-024-02834-y","DOIUrl":"10.1007/s12043-024-02834-y","url":null,"abstract":"<div><p>The motion of a long, axisymmetric bubble (fluid 1) inside a vertical peristaltic conduit containing a self-rewetting fluid (fluid 2) is discussed in this article. The fluid inside the tube and the floating bubble are immiscible, incompressible and have different densities. The peristaltic channel has two open ends. It is assumed that the bubble can move freely inside the tube without being restricted or deformed by the border wall. The effect of the density difference between the two fluids, Marangoni convection caused by the thermal and solutal gradient and an imposed back flow on the position and shape of the bubble have all been discussed. Motion of the bubble within a peristaltic tube, influenced by the Marangoni convection due to thermal and solutal gradients, has find various applications in the electrification of the atmosphere by sea bubbles, efficient mixing in microfluidic devices, improved cooling in heat exchangers, design of hydrophobic surfaces, spray coating thography techniques, enhanced mass transfer in chemical reactors, advancing various industrial and biomedical applications with precise fluid control. A mathematical model of the problem has been developed using a two-dimensional cylindrical polar coordinate system. The governing equations are in the form of linear partial differential equation and have been solved analytically. The effect of the thermo-solutal Marangoni convection in the microgravity region and the imposed back flow, impact of gravity-driven convection in the absence of the Marangoni convection or back flow, on the motion of bubble are discussed by plotting the position of the bubble. The initial radius and thermo-solutal Marangoni convection determine the bubble’s form as it evolves. When the initial radius falls below a critical value, the bubble becomes broader and shorter; conversely, when the original radius exceeds the crucial value, the bubble becomes longer and thinner.\u0000</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"98 4","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142596094","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
PramanaPub Date : 2024-11-06DOI: 10.1007/s12043-024-02825-z
Ashish Rayal, Prerna Negi, Shailendra Giri, Haci Mehmet Baskonus
{"title":"Taylor wavelet analysis and numerical simulation for boundary value problems of higher order under multiple boundary conditions","authors":"Ashish Rayal, Prerna Negi, Shailendra Giri, Haci Mehmet Baskonus","doi":"10.1007/s12043-024-02825-z","DOIUrl":"10.1007/s12043-024-02825-z","url":null,"abstract":"<div><p>The predominant objective of this study is to simulate higher-order linear and nonlinear initial-boundary value problems using approximation and collocation approach with the bases of Taylor wavelet. Differentiation is utilised in the function approximation approach to acquire expression for higher-order derivatives as well as solution to an unknown function. The mentioned scheme of wavelet approximation for higher-order differential equations is an intriguing scheme that has the potential to produce accurate and efficient results. The flexibility of the wavelet to the local character of differential equations of higher order corresponds well with the complexity caused by various boundary conditions. This study investigates the effectiveness of wavelet-based approach in solving higher-order differential equations under appropriate initial conditions, boundary conditions and Robin boundary conditions. Furthermore, a thorough error analysis is required to assess the dependability of these solutions. Therefore, maximum and minimum absolute errors, <span>(L_{2})</span> errors, relative error and experimental convergence order at various wavelet bases are evaluated to investigate the performance and effectiveness of the mentioned scheme. We have also compared the approximated solutions with other existing solutions to demonstrate the reliability and accuracy of the mentioned scheme.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"98 4","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587841","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Stochastic analysis of the MHD flow over a stretching porous surface with variable viscosity","authors":"Hamid Qureshi, Zahoor Shah, Muhammad Asif Zahoor Raja, Waqar Azeem Khan","doi":"10.1007/s12043-024-02812-4","DOIUrl":"10.1007/s12043-024-02812-4","url":null,"abstract":"<div><p>This article investigates numerically and theoretically the thermal transfer rate of an incompressible convective fluid flow over a perforated stretchable sheet in the presence of magnetic dipole with heat-dependent viscosity besides a heating reservoir and sink. This research is useful in optimising the performance of magnetohydrodynamic generators, metal processing units and aerospace crafts. A novel artificial intelligent method of Bayesian algorithm of feed forward neural network, accompanied with Lobatto-IIIA technique is incorporated for optimised results. System of nonlinear PDEs is transformed into ODEs by using suitable dimensionless similarity transformation. Graphical and tabular comparisons are included with error analysis by citing previous studies and their results with the present one. Velocity and temperature profiles are concluded with affected physical parameters of viscosity <i>A</i>, permeability factor <i>k</i><sub><i>1</i><b><i>,</i></b></sub> thermal radiating parameter as Prandtl quantity <i>Pr</i>, magnetic field tesla as <i>M</i> and sink heat characteristic <i>λ.</i> It is clearly observed that boundary layer thinning effect amplifies with inclination viscosity and sink heat.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"98 4","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142565793","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
PramanaPub Date : 2024-11-01DOI: 10.1007/s12043-024-02837-9
Tasawar Abbas, Sami Ullah Khan, Adnan, Ahmed S. SOwayan, Huma Tayyab, Qazi Mehmood Ul Hassan
{"title":"Thermal enhancement due to hybrid nanofluid (AA7072–AA7075) containing different metallic particles with solar collector applications","authors":"Tasawar Abbas, Sami Ullah Khan, Adnan, Ahmed S. SOwayan, Huma Tayyab, Qazi Mehmood Ul Hassan","doi":"10.1007/s12043-024-02837-9","DOIUrl":"10.1007/s12043-024-02837-9","url":null,"abstract":"<div><p>Solar collectors are modern types of heat transmission devices which enhance the thermal process with radiative phenomenon. It is experimentally justified that thermal impact of solar collectors is improved with the addition of hybrid nanoparticles. The aim of the current investigation is to enhance thermal phenomenon by using special types of magnetised alloy nanoparticles, namely AA7072–AA7075 with water as the base fluid. For a thermally developed flow, AA7072 contains a uniform suspension of 98% aluminium (Al) and 1% zinc (Zn) and the rest, copper (Cu), iron (Fe) and silica (Si). AA7075 contains aluminium (90%), zinc (5–6%), manganese (Mg) (3%), Cu (1%) and the rest of the suspension is associated with Mn, Si and Fe nanoparticles. The radiative phenomenon is also considered. The source of the flow are two parallel plates placed at a fixed distance. After addressing the modelling of thermal flow problem, the variation of parameter method (VPM) is implemented. The improvement in thermal features of the base fluids by varying the flow parameters is visualised. Current results offer applications in the solar collectors, heat transfer devices, energy systems, solar production, extrusion systems and industrial framework.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"98 4","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142565794","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
PramanaPub Date : 2024-11-01DOI: 10.1007/s12043-024-02843-x
Shreya Mitra, A Ghose-Choudhury, Sudip Garai, Sujoy Poddar, Partha Guha
{"title":"Modified fractional Rayleigh–Liénard oscillator and the renormalisation group (RG) method","authors":"Shreya Mitra, A Ghose-Choudhury, Sudip Garai, Sujoy Poddar, Partha Guha","doi":"10.1007/s12043-024-02843-x","DOIUrl":"10.1007/s12043-024-02843-x","url":null,"abstract":"<div><p>We apply the technique of renormalisation group (RG) to investigate periodic solutions of the modified Rayleigh–Liénard oscillator, both in presence of usual integer order damping and fractional order damping. In the latter case, a parametric driven periodic external force is also taken into account. The existence of limit cycle solutions is evident in both scenarios.\u0000\u0000</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"98 4","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142565795","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
PramanaPub Date : 2024-10-28DOI: 10.1007/s12043-024-02826-y
Sanwatee Behera, S R Mishra, P K Pattnaik, Subhajit Panda
{"title":"Thermal and magnetic influences on the hybrid nanofluid flow over exponentially elongating/contracting curved surfaces in porous media: a comprehensive study","authors":"Sanwatee Behera, S R Mishra, P K Pattnaik, Subhajit Panda","doi":"10.1007/s12043-024-02826-y","DOIUrl":"10.1007/s12043-024-02826-y","url":null,"abstract":"<div><p>The performance of heat transportation fluids in thermal engineering applications enforces us to investigate the combined impacts of magnetisation and radiating heat considering a hybrid nanofluid flow. The transport phenomena of the proposed hybrid nanofluid through a curved surface in a porous medium are analysed by considering ferrite nanoparticles. The surface is preamble and expanding/contracting exponentially. Additionally, it is not wise to neglect the role of Joule dissipation since properties of magnetisation are involved in the proposed phenomena. To analyse the system, a suitable similarity rule is employed to change the governing equation into an ordinary equation. The resulting set of equations is then numerically solved by implementing the “Runge–Kutta” method associated with the “shooting technique”. The quantitative numerical values coincide with prior published work showing validation of the current result vis-à-vis the convergence criteria. However, the findings of the result reveal that the magnetisation and thermal radiation significantly improve the fluid flow and enhance the rate coefficients. Due to the impressive utility of the heat transport phenomenon in manufacturing various electronic devices, cooling of microchips, drug delivery processes, etc. the role of nanoparticles presents its vital role.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"98 4","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142518567","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
PramanaPub Date : 2024-10-26DOI: 10.1007/s12043-024-02833-z
Weaam Alhejaili, Rasool Shah, Alvaro H Salas, Santanu Raut, Subrata Roy, Ashim Roy, Samir A El-Tantawy
{"title":"On the soliton-type and other physical solutions for the space–time fractional Kraenkel–Manna–Merle model","authors":"Weaam Alhejaili, Rasool Shah, Alvaro H Salas, Santanu Raut, Subrata Roy, Ashim Roy, Samir A El-Tantawy","doi":"10.1007/s12043-024-02833-z","DOIUrl":"10.1007/s12043-024-02833-z","url":null,"abstract":"<div><p>The space–time fractional Kraenkel–Manna–Merle system (FKMMS) is a mathematical physics system that is particularly established to outline the transmission of nonlinear short waves in ferromagnetic materials considering the impact of a zero conductivity external field. Motivated by this application, the current investigation seeks to thoroughly examine the space–time FKMMS with conformable fractional derivatives. Generalised EDAM (gEDAM), an improved variant of the modified extended direct algebraic method (EDAM), is utilised to efficiently find a collection of analytical travelling wave solutions in the form of rational, hyperbolic, exponential and trigonometric functions. Through a careful selection of particular values for the parameters associated with the arbitrary functions contained in the obtained solutions, the inferred solutions yield various new forms for travelling waves and other soliton-type structures. Within the scope of FKMMS, our analytical investigation identified many kink solitons, including kink, anti-kink, bell-shaped dark and brilliant kink. An analysis is conducted on the effects of several factors associated with the obtained solutions, including the space- and time-fractional parameters on the shock and solitary wave profiles. This work may provide critical new understandings for researchers, engineers and physicists working with ferromagnetic materials. Regarding the real-world occurrences seen throughout their experimental research, it can offer helpful insights.\u0000</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"98 4","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142519124","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
PramanaPub Date : 2024-10-26DOI: 10.1007/s12043-024-02832-0
Baljinder Kaur, Raveena Gupta, Shobhna Dhiman, Kulwinder Kaur, Chandan Bera
{"title":"Optimising the thermoelectric properties of SnTe by band engineering","authors":"Baljinder Kaur, Raveena Gupta, Shobhna Dhiman, Kulwinder Kaur, Chandan Bera","doi":"10.1007/s12043-024-02832-0","DOIUrl":"10.1007/s12043-024-02832-0","url":null,"abstract":"<div><p>SnTe, the lead-free and environmentally friendly material, has gained recognition as a low band-gap thermoelectric material. However, it encounters challenges due to the presence of a significant concentration of intrinsic tin vacancies and its extremely small band gap of 0.18 eV. These factors contribute to a low Seebeck coefficient (<i>S</i>) and high electronic thermal conductivity. These challenges can be overcome by tuning the band gap of SnTe which enhance its thermoelectric behaviour. In our study, we investigate the thermoelectric properties of the bulk SnTe by systematically increasing the band gap while keeping the carrier concentration fixed. By varying the band gap from 0.14 to 0.8 eV, we observe significant enhancements in the thermoelectric performance of the material. Specifically, the power factor reaches a value of 420 <span>(upmu )</span>W cm<span>(^{-1})</span> K<span>(^{-2})</span> and the electronic thermal conductivity decreases to 2.3 W m<span>(^{-1})</span> K<span>(^{-1})</span> when the band gap is 0.8 eV and the carrier concentration is <span>(10^{18})</span> cm<span>(^{-3})</span>. Moreover, the figure of merit (ZT) value of SnTe can be improved up to 15 times. This study can motivate further experimental investigation on interesting compounds.\u0000</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"98 4","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142518603","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
PramanaPub Date : 2024-10-24DOI: 10.1007/s12043-024-02841-z
R Dilber Pushpitha, J Thirumalai, R Krishnan
{"title":"Spin-dependent hole transport in CdTe(/)CdMnTe double-barrier heterostructure: effect of δ-potential","authors":"R Dilber Pushpitha, J Thirumalai, R Krishnan","doi":"10.1007/s12043-024-02841-z","DOIUrl":"10.1007/s12043-024-02841-z","url":null,"abstract":"<div><p>The spin-dependent hole transport in the CdTe<span>(/)</span>CdMnTe heterostructure with double barriers and double <i>δ</i>-potentials is studied. Since the considered heterostructure is symmetric and no external field is applied, only the Dresselhaus spin–orbit interaction is included in the study. The transfer matrix method is used to analyse the spin-dependent transmission of holes. The double <i>δ</i>-potential height and the distance between them influence the transmission coefficient, polarisation efficiency and tunnelling time of the light holes (LH) and heavy holes (HH). The contrast in the response of LH and HH in terms of energy at which resonance occurs and polarisation efficiency are reported.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"98 4","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142518933","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}