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Regression analysis of squeezing-induced hybrid nanofluid flow in Darcy-Forchheimer porous medium

applied mathematics and Mechanics(English Edition) 2025年第1期46卷 193-208页

作者： K.MUHAMMAD M.SARFRAZ department of humanities and Sciences School of Electrical Engineering and Computer Science National University of Sciences and Technology department of mathematics Quaid-i-Azam University

This article presents a mathematical model addressing a scenario involving a hybrid nanofluid flow between two infinite parallel plates. One plate remains stationary, while the other moves downward at a squeezing velocity. The space between these plates contains a Darcy-Forchheimer porous medium. A mixture of water-based fluid with gold(Au) and silicon dioxide(Si O2) nanoparticles is formulated. In contrast to the conventional Fourier's heat flux equation, this study employs the Cattaneo-Christov heat flux equation. A uniform magnetic field is applied perpendicular to the flow direction, invoking magnetohydrodynamic(MHD) effects. Further, the model accounts for Joule heating, which is the heat generated when an electric current passes through the fluid. The problem is solved via NDSolve in MATHEMATICA. Numerical and statistical analyses are conducted to provide insights into the behavior of the nanomaterials between the parallel plates with respect to the flow, energy transport, and skin *** findings of this study have potential applications in enhancing cooling systems and optimizing thermal management strategies. It is observed that the squeezing motion generates additional pressure gradients within the fluid, which enhances the flow rate but reduces the frictional drag. Consequently, the fluid is pushed more vigorously between the plates, increasing the flow velocity. As the fluid experiences higher flow rates due to the increased squeezing effect, it spends less time in the region between the plates. The thermal relaxation, however, abruptly changes the temperature, leading to a decrease in the temperature fluctuations.

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Stability of LRS Bianchi type-I cosmological models in f(R,T)-gravity

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Research in Astronomy and Astrophysics 2019年第4期19卷 63-76页

作者： Umesh Kumar Sharma Rashid Zia Anirudh Pradhan Aroon Beesham department of mathematics Institute of Applied Sciences & Humanities GLA University department of Mathematical Sciences University of Zululand

This paper examines the stability of the transition from the early decelerating stage of the Universe to the recent accelerating stage for the perfect fluid cosmological locally rotationally symmetric(LRS) Bianchi-I model in f(R, T) theory. To determine the solution of field equations, the idea of a timevarying deceleration parameter(DP) which yields a scale factor, for which the Universe attains a phase transition scenario and is consistent with recent cosmological observations, is used. The time-dependent DP yields a scale factor a=exp■, where β and k are respectively arbitrary and integration constants. By using the recent cons_traints(H_0 _= 73.8, and q_0 =-0.54) from Type Ia Supernova(SN Ia) data in combination with Baryonic Acoustic Oscillations(BAO) and Cosmic Microwave Background(CMB) observations(Giostri et al.), we obtain the values of β = 0.0062 and k = 0.000016 for which we have derived a cosmological model from the early decelerated phase to the present accelerating phase. By applying_ other r_ecent constraints(H_0 = 73.8, q_0 =-0.73) from SNe Ia Union data(Cunha), we obtain the values of β = 0.0036 and k = 0.000084 for which we have derived a cosmological model in the accelerating phase only. We have compared both models with experimental data. The stability of the background solution has been examined also for the metric perturbations alongside the properties of future singularities in a Universe ruled by dark energy with phantom type fluid. We demonstrate the presence of a stable fixed point with a condition of state ω <-1 and numerically affirm this is really a late-time attractor in the ghost overwhelmed Universe. Some physical and geometric properties of the model are found and examined.

关键词： LRS Bianchi-I Universe Time-dependent deceleration parameter f(R,T) gravity theory Transit universe

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Finite element model to study the effect of exogenous buffer on calcium dynamics in dendritic spines

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International Journal of Modeling, Simulation, and Scientific Computing 2014年第2期5卷 1-12页

作者： Amrita Jha Neeru Adlakha department of applied mathematics and humanities S.V.National Institute of Technology Surat Gujarat-395007

Dendritic spine plays an important role in calcium regulation in a neuron *** serves as a storage site for synaptic strength and receives input from a single synapse of *** order to understand the calcium dynamics in a neuron cell,it is crucial to understand the calcium dynamics in dendritic *** this paper,an attempt has been made to study the calcium dynamics due to the exogenous buffers,in dendritic spines with the help of a sectional *** compartments of dendritic spines are discretized using triangular *** boundary conditions have been *** element method has been employed to obtain the solution in the region for a two-dimensional unsteady state *** 7.11 is used for simulation of the problem and numerical *** numerical results have been used to study the effect of exogenous buffers on calcium distribution in dendritic spines.

关键词： Diffusion coefficient buffers variational form finite element method

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Mathematical modeling of tsunami wave propagation at mid ocean and its amplification and run-up on shore

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Journal of Ocean Engineering and Science 2021年第4期6卷 367-375页

作者： Archana C.Varsoliwala Twinkle R.Singh applied mathematics and humanities department Sardar Vallabhbhai National Institute of TechnologySurat 395007GujaratIndia

The paper deals with the study of the mathematical model of tsunami wave propagation along a coast-line of an *** model is based on shallow-water assumption which is represented by a system of non-linear partial differential *** this study,we employ the Elzaki Adomian Decomposition Method(EADM)to successfully obtain the solution for the proposed model for different coastal slopes and ocean *** tsunami wave velocity and run-up height are affected by the coast slope and sea depth are *** Adomian Decomposition Method together with Elzaki transform allows for solutions,without the need of any linearization or perturbation,in the form of rapidly converging *** obtained numerical results for tsunami wave height and velocity are very close match to the real physical phenomenon of tsunami.

关键词： Tsunami wave propagation Run-up height Shallow water equations Elzaki Adomian Decomposition Method Convergence analysis

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Dust Acoustic Compressive Waves in a Warm Dusty Plasma Having Non-Thermal Ions and Non-Isothermal Electrons

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Plasma Science and Technology 2015年第9期17卷 721-727页

作者： Apul N.DEV Manoj K.DEKA Rajesh SUBEDI Jnanjyoti SARMA department of Science and humanities College of Science and Technology department of applied Sciences Institute of Science and TechnologyGauhati University department of mathematics R.G.Baruah College

In this article an investigation is presented on the properties of dust acoustic（DA）compressive solitary wave propagation in an adiabatic dusty plasma,including the effect of nonthermal positive and negative ions and non-isothermal *** reductive perturbation method has been employed to derive the lower degree modified Kadomtsev-Petviashivili（mK-P）,3D Schamel-Korteweg-de-Vries equation or modified Kadomtsev-Petviashivili（mK-P） equations for dust acoustic solitary waves in a homogeneous,unmagnetized and collisionless plasma whose constituents are non-isothermal electrons,singly charged positive and negative non-thermal ions and massive charged dust *** stationary analytical solutions of the lower degree mK-P and mK-P equations are numerically analyzed,where the effect of various dusty plasma constituents on DA solitary wave propagation is taken into *** is observed that both the ions in dusty plasma play a key role in the formation of DA compressive solitary waves,and also the ion concentration and non-isothermal electrons control the transformation of the compressive potentials of the waves.

关键词： dusty plasma reductive perturbation method non-isothermal ions compressive solitary wave

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Mathematical modeling of atmospheric internal waves phenomenon and its solution by Elzaki Adomian decomposition method

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Journal of Ocean Engineering and Science 2022年第3期7卷 203-212页

作者： Archana C.Varsoliwala Twinkle R.Singh applied mathematics and humanities department Sardar Vallabhbhai National Institute of TechnologySurat395007GujaratIndia

This article involves the study of atmospheric internal waves phenomenon,also referred to as gravity *** phenomenon occurs inside the fluid,not on the *** model is based on a shallow fluid hypothesis represented by a system of nonlinear partial differential *** basic assumption of the shallow flow model is that the horizontal size is much larger than the vertical *** internal waves can be perfectly represented by this model as the waves are spread over a large horizontal *** we used the Elzaki Adomian Decomposition Method(EADM)to obtain the solution for the considered model along with its convergence *** Adomian decomposition method together with the Elzaki transform gives the solution in a convergent series without any linearization or *** are built between the results obtained by EADM and HAM to examine the accuracy of the proposed method.

关键词： Atmospheric internal waves Shallow-fluid equations System of nonlinear PDEs Elzaki Adomian decomposition method Climate prediction

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Generalized Multiobjective Symmetric Duality under Second-Order(F, α, ρ, d)-Convexity

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Acta Mathematicae Applicatae Sinica 2015年第2期31卷 529-542页

作者： S.K.Gupta D.Dangar department of mathematics Indian Institute of Technology Roorkee department of mathematics and humanities IT Nirma University

In this paper, we first formulate a second-order multiobjective symmetric primal-dual pair over arbitrary cones by introducing two different functions f ： R^n × R^m → Rk and g ： R^n × R^m → R^l in each k-objectives as well as l-constraints. Further, appropriate duality relations are established under second-order（F, α, ρ, d）-convexity assumptions. A nontrivial example which is second-order（F, α, ρ, d）-convex but not secondorder convex/F-convex is also illustrated. Moreover, a second-order minimax mixed integer dual programs is formulated and a duality theorem is established using second-order（F, α, ρ, d）-convexity assumptions. A self duality theorem is also obtained by assuming the functions involved to be skew-symmetric.

关键词： multiobjective symmetric duality second-order(F α ρ d)-convex duality theorems minimax self duality

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The R-convergence Rate of MDY Conjugate Gradient Method with Inexact Line Search for Unconstrained Optimization

The R-convergence Rate of MDY Conjugate Gradient Method with...

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第25届中国控制与决策会议

作者： Zhongbo Sun Chunling Xu Haiyin Gao College of humanities and Sciences of Northeast Normal University department of applied mathematics and mathematics Changchun University

ISBN: (纸本)9781467355322

It is well-known that the Dai-Yuan conjugate gradient method. Recently, Zhang developed two modified Dai-Yuan （MDY） methods that are globally convergence if the standard Armijo line search is used. In this paper, firstly, we investigate the R-convergence rate of the MDY method with inexact Armijo line search. Secondly, We show another MVDY method convergence globally for nonconvex minimization problems. Thirdly, the MVDY method also have R- convergence rate with inexact Armijo line search. Numerical results show that this algorithm is effective in unconstrained optimization problems.

关键词： Conjugate gradient method Unconstrained optimization problem R-convergence rate

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An attractive analytical technique for coupled system of fractional partial differential equations in shallow water waves with conformable derivative

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Communications in Theoretical Physics 2020年第8期72卷 1-17页

作者： Mohammed Al-Smadi Omar Abu Arqub Samir Hadid department of applied Science Ajloun CollegeAl-Balqa Applied UniversityAjloun 26816Jordan department of mathematics Faculty of ScienceAl-Balqa Applied UniversitySalt 19117Jordan department of mathematics and Sciences College of Humanities and SciencesAjman UniversityAjmanUnited Arab Emirates

Mathematical simulation of nonlinear physical and abstract systems is a very vital process for predicting the solution behavior of fractional partial differential equations(FPDEs)corresponding to different applications in science and engineering. In this paper, an attractive reliable analytical technique, the conformable residual power series, is implemented for constructing approximate series solutions for a class of nonlinear coupled FPDEs arising in fluid mechanics and fluid flow, which are often designed to demonstrate the behavior of weakly nonlinear and long waves and describe the interaction of shallow water waves. In the proposed technique the n-truncated representation is substituted into the original system and it is assumed the(n-1) conformable derivative of the residuum is zero. This allows us to estimate coefficients of truncation and successively add the subordinate terms in the multiple fractional power series with a rapidly convergent form. The influence, capacity, and feasibility of the presented approach are verified by testing some real-world applications. Finally, highlights and some closing comments are attached.

关键词： nonlinear coupled system fractional partial differential equations residual power series method conformable fractional derivative

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Three-dimensional finite element model to study temperature distribution in peripheral layers of human limbs immediately after physical exercise

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International Journal of Biomathematics 2017年第4期10卷 173-188页

作者： Babita Kumari Neeru Adlakha department of applied mathematics and humanities S. V. National Institute of Technology Surat Gujarat 395007 India

The physical exercise imposes challenges on the human thermoregulatory system, as heat exchange between the body and environment is substantially impaired, which can lead to decrease in performance and increased risk of heat illness. In view of above a three-dimensional finite element model is proposed to study the effect of different inten- sities of physical exercise on temperature distribution in peripheral regions of human limbs under moderate climatic conditions. Human limb is assumed to have a cylindri- cal cross-section. The peripheral region of the human limb is divided into three natural components, namely epidermis, dermis and subdermal tissues. The model incorporates the effect of important physiological parameters like blood mass flow rate, metabolic heat generation, and thermal conductivity of the tissues. Appropriate boundary condi- tions have been framed based on the physical conditions of the problem. The model is transformed into the discretized variational form and finite element method （FEM） has been employed to obtain the solution. The numerical results have been used to obtain the temperature profiles in the region immediately after exercise for an unsteady state case. The thermal information generated from the model can be useful for developing protocols for improving performance of sportsmen, military persons and labor-intensive workers.

关键词： Metabolic heat generation blood mass flow rate thermal conductivity finiteelement method.

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