PramanaPub Date : 2025-05-26DOI: 10.1007/s12043-025-02921-8
Komal Gajroiya, Jitander Singh Sikka
{"title":"Analytical study of Love-type wave propagation in a composite structure of transversely isotropic poroelastic materials","authors":"Komal Gajroiya, Jitander Singh Sikka","doi":"10.1007/s12043-025-02921-8","DOIUrl":"10.1007/s12043-025-02921-8","url":null,"abstract":"<div><p>The primary aim of this paper is to undertake an analytical investigation of the dispersion and damping behaviours of Love-type waves propagation in a porous piezoelectric layer sandwiched between a dissipative transversely isotropic poroelastic layer of finite thickness and a homogeneous transversely isotropic poroviscoelastic half-space. The acquisition of a dispersion equation for the propagation of Love-type waves has been accomplished by employing appropriate boundary conditions. Calculations for specific cases have been conducted, demonstrating the transformation of dispersion equation into the conventional Love wave equation in those particular situations. This affirmation validates the current mathematical model. Numerical analyses were performed for the parameters involved and the results were depicted through graphical representations. The effects of viscoelastic parameter, porosity parameters, thickness ratio, dielectric and piezoelectric parameters in the dispersion curves are highlighted. The current investigation could prove valuable in applications related to geophysics, material science, oil and gas exploration and earthquake engineering, aiding in the comprehension of seismic wave propagation characteristics in complex layered structures.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 2","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144135276","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 : 2025-05-26DOI: 10.1007/s12043-025-02929-0
Turgut Ak, Sharanjeet Dhawan, Mostafa M A Khater, Abdul Hamid Kara
{"title":"Insights into the Vakhnenko–Parkes equation: solitary waves under the influence of power-law nonlinearity","authors":"Turgut Ak, Sharanjeet Dhawan, Mostafa M A Khater, Abdul Hamid Kara","doi":"10.1007/s12043-025-02929-0","DOIUrl":"10.1007/s12043-025-02929-0","url":null,"abstract":"<div><p>In this study, we identify two distinct families of solutions for the Vakhnenko–Parkes (VP) equation using a hybrid computational scheme. This methodology, referred to as the hybrid scheme, integrates B-spline functions with a finite-element approach. The notable advantage of this scheme is its unconditional stability, which enables the successful development of both topological and non-topological solutions. To demonstrate its efficacy, several test cases are examined. We visualise the dynamics of topological and non-topological solitary wave profiles by presenting results through figures and calculating the associated errors. Furthermore, we derive an analytical solution using the Khater II technique and compute conservation laws. In summary, our findings suggest that the presented scheme is highly effective and adaptable to various other nonlinear models.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 2","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144135275","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 : 2025-05-23DOI: 10.1007/s12043-025-02927-2
Stepan Elistratov, Daria Ilina
{"title":"Influence of wave-maker shape on the wave attractor","authors":"Stepan Elistratov, Daria Ilina","doi":"10.1007/s12043-025-02927-2","DOIUrl":"10.1007/s12043-025-02927-2","url":null,"abstract":"<div><p>Internal waves in a stratified liquid propagate to fit the dispersion relation, depending only on the frequency and the angle to the gravity. The phenomenon of self-focussing of such waves is known as wave attractor. To study this phenomenon numerically or in a laboratory, it is common to use a wave-maker providing the forcing through one of the boundaries. In this work, we study the influence of the wave-maker forcing on the wave attractor formation and its characteristics. \u0000</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 2","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144117705","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":"Segmented time-varying transformation stochastic resonance and its application in coupling misalignment fault diagnosis","authors":"Hao Shu, Anji Zhao, Jiachen Tang, Zhongqiu Wang, Jianhua Yang, Zhen Shan","doi":"10.1007/s12043-025-02912-9","DOIUrl":"10.1007/s12043-025-02912-9","url":null,"abstract":"<div><p>A novel segmented time-varying transformation stochastic resonance is proposed, and its use in extracting and enhancing weak misalignment fault features of the coupling under variable speed conditions is studied. At first, the theory of the segmented time-varying transformation stochastic resonance is described in detail. Numerical simulations are carried out to successfully extract the weak misalignment fault characteristic of a coupling. Then, based on the coupling misalignment fault test bench, the method is verified under different amounts of coupling misalignment and time-variable speed conditions. The results demonstrate that the method can effectively extract the fault feature under strong noise background and time-variable speed conditions. The proposed method has a certain engineering value in coupling misalignment fault diagnosis.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 2","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144100218","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 : 2025-05-19DOI: 10.1007/s12043-025-02924-5
Anupam Bhandari
{"title":"Multiphase ferrofluid flow in a rotating system","authors":"Anupam Bhandari","doi":"10.1007/s12043-025-02924-5","DOIUrl":"10.1007/s12043-025-02924-5","url":null,"abstract":"<div><p>The current mathematical model investigates the unsteady flow of fluid–particle suspension and multiphase heat exchange in ferrofluid flow over a spinning and upward migrating disk under the constant Kelvin magnetisation force. The motion of the disk along the rotational axis slows its angular velocity, reducing the radial and circumferential motion of the fluid. Excluding the effect of suspended particles, vertical movement of the disk and the Kelvin magnetisation force, the current problem is reduced to the Von Karman rotating disk problem. Normalised nonlinear differential equations of the system are solved using the technique of finite elements. When a magnetic field is present, increasing the volume concentration of ferromagnetic nanoparticles in the flow increases velocity and temperature. The variation in both temperature and velocity of the suspended particles is greater than that of fluid. The magnetic fluid and magnetic particle radial velocities fall by approximately 7% and 6%, respectively, with an increase in the ferromagnetic interaction number (<i>β</i><sub>1</sub>). On the other hand, there was an approximate 4.5% increase in axial velocity. The radial and tangential components of particle velocities, and the particle temperature, are greatly decreased by increasing the vertical motion parameter. The particle's axial velocity does, however, increase.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 2","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144084987","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 : 2025-05-16DOI: 10.1007/s12043-025-02918-3
Rinkal Patel, B S Ratanpal
{"title":"Anisotropic compact star: various equations of state","authors":"Rinkal Patel, B S Ratanpal","doi":"10.1007/s12043-025-02918-3","DOIUrl":"10.1007/s12043-025-02918-3","url":null,"abstract":"<div><p>We develop models of compact stars with pressure anisotropy on Finch–Skea space–time by applying a generalised equation of state (EoS), which includes specific cases such as linear, quadratic, polytropic, Chaplygin, and colour-flavour-locked (CFL) equations of state. The physical viability of these models is tested for the strange star candidate 4U 1820-30, with a mass <span>( M = 1.58M_odot )</span> and radius <span>(R = 9.1)</span> km. All models are found to be physically plausible.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 2","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144073785","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 : 2025-05-15DOI: 10.1007/s12043-025-02916-5
B J Gireesha, C G Pavithra
{"title":"Impact of appropriate similarity transformations on the heat transfer analysis of the Casson trihybrid shape-dependent nanofluid with suction(/)injection and thermal radiation through a stretching sheet","authors":"B J Gireesha, C G Pavithra","doi":"10.1007/s12043-025-02916-5","DOIUrl":"10.1007/s12043-025-02916-5","url":null,"abstract":"<div><p>Exploration of a non-linear stretching sheet has been conducted by utilising the Casson model, focussing on an exclusive mixture known as a ternary hybrid nanofluid. This particular nanofluid is a mixture of ethylene glycol hosting suspended graphene, carbon nanotubes and aluminium oxide. The nanoparticles scattered in the underlying liquid are anticipated to exhibit distinct formations like brick blades and lamina, ensuring an efficient connection between the expansive surface of the nanoparticles and the foundational fluid. As a result, this configuration allows for improved absorption of heat from the surface. Many fluid flow problems require the use of a similarity transformation to simplify the equations and make them more tractable. However, it is crucial to derive the correct similarity transformation for each specific problem. Unfortunately, many researchers overlook this step or employ inappropriate transformations, leading to erroneous results. This paper aims to address this issue by systematically deriving suitable similarity transformations for various flow problems, ensuring the accuracy and reliability of the solutions obtained. We derived an appropriate set of similarity transformations for a particular flow problem, in which the similarity variable is dimensionless and appears in the formulation as a function of all independent variables. The numerical solution of the modified equations was obtained using the Runge–Kutta Fehlberg 4–5th method. The study suggests that the temperature distribution is most significant with nanoparticles featuring brick–brick–lamina configurations, followed by brick–brick–blade and brick–brick–brick arrangements.</p><h3>Graphical abstract</h3><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 2","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143949528","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 : 2025-05-15DOI: 10.1007/s12043-025-02917-4
R S Varun Kumar, K Chandan, K Venkadeshwaran, Taseer Muhammad, R J Punith Gowda, B C Prasannakumara
{"title":"Influence of magnetic dipole on the hybrid nanofluid flow with chemical reactions due to the generated and absorbed heat","authors":"R S Varun Kumar, K Chandan, K Venkadeshwaran, Taseer Muhammad, R J Punith Gowda, B C Prasannakumara","doi":"10.1007/s12043-025-02917-4","DOIUrl":"10.1007/s12043-025-02917-4","url":null,"abstract":"<div><p>The present study examines the impact of heat source/sink, magnetic dipole and heterogeneous–homogeneous chemical reactions on the hybrid nanofluid flow via a stretching cylinder in the presence of porous media. Scientists and engineers can enhance the efficiency of heat transfer by optimising system flow and investigating the impact of chemical reactions on flow dynamics. Many chemical engineering activities, including absorption, leaching, drying, adsorption, evaporation and solvent extraction, can be used in the analysis of mass transfer to or from surfaces. The governing partial differential equations (PDEs) are modelled and presented. The use of similarity variables transforms the modelled PDEs of the present problem into non-dimensional ordinary differential equations (ODEs). The resultant ordinary differential equations (ODEs) are solved using the Runge–Kutta–Fehlberg fourth–fifth order (RKF-45) method and the obtained results are compared using the physics-informed neural network (PINN) approach. Graphical representations illustrate the effects of various parameters on temperature, concentration and velocity profiles. The thermal profile increases as the ferromagnetic interaction and heat source/sink parameters increase. As homogeneous and heterogeneous reaction parameters rise, the concentration profile decreases. The outcomes obtained by PINN are in good agreement with the solution obtained by RKF-45, indicating good convergence. \u0000</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 2","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143949527","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 : 2025-05-08DOI: 10.1007/s12043-025-02925-4
Muhammad Amin S Murad, Ahmed H Arnous, Mir Sajjad Hashemi, Mohammad Mirzazadeh
{"title":"Optical solutions for time-fractional nonlinear Schrödinger equation with Kudryashov’s arbitrary type of generalised nonlinear and refractive index via the new Kudryashov approach","authors":"Muhammad Amin S Murad, Ahmed H Arnous, Mir Sajjad Hashemi, Mohammad Mirzazadeh","doi":"10.1007/s12043-025-02925-4","DOIUrl":"10.1007/s12043-025-02925-4","url":null,"abstract":"<div><p>This paper provides a thorough investigation of the new Kudryashov method for obtaining optical solutions relevant to a time-fractional nonlinear Schrödinger equation (NLSE) modified with Kudryashov’s advanced refractive index (RI) formulation. The resulting optical solutions are indicated by their formulation through exponential and hyperbolic functions. To show the significance of these optical solutions, a variety of 2D, 3D and contour visual representations are presented. Additionally, graphical representations are utilised to reveal the dynamic properties of these diverse optical solutions in response to changes in the time parameter and order. The implications of these findings are substantial for their potential application in the propagation of pulses within optical fibres and other areas of physics. Moreover, the model is well-suited for investigating the polarisation of solitons in birefringent fibres. The methodology proposed in this manuscript is suggested to serve as an accurate tool for exploring optical solutions across a range of NLSEs, including both fractional and integer orders. The optical solitons described in this work are expected to have promising applications in the field of nonlinear optics, opening up new avenues for the study and utilisation of soliton dynamics.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 2","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143925513","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 : 2025-04-28DOI: 10.1007/s12043-025-02893-9
Hanxuan Xu, Ying Luo, Hongguang Liu
{"title":"Theoretical modelling and nonlinear analysis of galloping flexoelectric energy harvesters with blunt bodies of different sizes","authors":"Hanxuan Xu, Ying Luo, Hongguang Liu","doi":"10.1007/s12043-025-02893-9","DOIUrl":"10.1007/s12043-025-02893-9","url":null,"abstract":"<div><p>This study evaluated the behaviour of a novel galloping energy collector based on the flexoelectric effect, for which the dynamic equation governing the energy conversion system is established by applying Hamilton’s principle. The aerodynamic coefficient curve for the blunt body, characterised by width-to-thickness ratios ranging from 1.0 to 2.0, is analysed for various wind angles using the simulation software. The galloping response characteristics of the system and its energy export performance for varying parameters are investigated using numerical simulation. The findings reveal that the number of inflection points in the aerodynamic fitting curves varies across diverse width-to-thickness ratios, resulting in three forms of dynamic responses. This variation significantly impacts energy harvesting. Furthermore, the results demonstrate that for wind speeds (<i>U</i>) from 1 to 3 <span>({text{m}}/{text{s}})</span>, the optimal width-to-thickness ratios for the blunt body fall between 1.5 and 2.0. When <i>U</i> exceeds 3 <span>({text{m}}/{text{s}})</span>, the appropriate width-to-thickness ratio falls within the range of 1.0–1.5. The influence of resistance on the electrical export of the system is also discussed, and the best matching resistance is determined so that the geometrical parameters and the resistance can be designed to realise the optimal regulation of the system’s amplitude, onset wind speed of the galloping dynamic and the electrical export.</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"99 2","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143879682","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}