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Lattice Boltzmann simulation of Magnetic Field Effect on Electrically conducting Fluid at Inclined Angles in Rayleigh-Bénard convection

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Energy Engineering 2021年第1期118卷 15-36页

作者： T.Ahmed s.Hassan M.F.Hasan M.M.Molla M.A.Taher s.c.saha Department of Mathematics and Physics North South UniversityDhaka1229Bangladesh center for Applied scientific computing(cAsc) North South UniversityDhaka1229Bangladesh Department of Engineering&Physical sciences La Trobe UniversityMelbourneVIC 3086Australia Department of Mathematics Dhaka University of Science and TechnologyGazipurBangladesh school of Mechanical and Mechatronic Engineering University of Technology SydneyUltimoAustralia

The magneto-hydrodynamics(MHD)effect is studied at different inclined angles in Rayleigh-Bénard(RB)convection inside a rectangular enclosure using the lattice Boltzmann method(LBM).The enclosure is filled with electrically conducting fluids of different *** characteristics are defined by Prandtl number,*** considered Pr values for this study are 10 and *** influence of other dimensionless parameters Rayleigh numbers Ra=10^(3);10^(4);10^(5);10^(6) and Hartmann numbers Ha=0,10,25,50,100,on fluid flow and heat transfer,are also investigated considering different inclined anglesφof magnetic field by analyzing computed local Nusselt numbers and average Nusselt *** results of the study show the undoubted prediction capability of LBM for the current *** simulated results demonstrate that the augmentation in heat transfer is directly related to Ra values,but it is opposite while observing the characteristics of Ha ***,it is also found thatφhas a significant impact on heat transfer for different ***,isotherms are found to be always parallel to the horizontal axis at Ra=10^(3) as conduction overcomes the convection in the heat transfer,but this behaviour is not seen at Ra=10^(4) when Ha>***,at Ra=10^(6),oscillatory instability appears but LBM is still able to provide a complete map of this predicted beha*** appropriate validation with previous numerical studies demonstrates the accuracy of the present approach.

关键词： Average rate of heat transfer Hartmann number lattice Boltzmann method magnetic field effect Rayleigh-Bernard convection

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New analytical exact solutions of time fractional KdV KZK equation by Kudryashov methods

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chinese Physics B 2016年第4期25卷 30-36页

作者： s saha Ray National Institute of Technology Department of Mathematics

In this paper, new exact solutions of the time fractional KdV-Khokhlov-Zabolotskaya-Kuznetsov （KdV-KZK） equa- tion are obtained by the classical Kudryashov method and modified Kudryashov method respectively. For this purpose, the modified Riemann-Liouville derivative is used to convert the nonlinear time fractional KdV-KZK equation into the non- linear ordinary differential equation. In the present analysis, the classical Kudryashov method and modified Kudryashov method are both used successively to compute the analytical solutions of the time fractional KdV-KZK equation. As a result, new exact solutions involving the symmetrical Fibonacci function, hyperbolic function and exponential function are obtained for the first time. The methods under consideration are reliable and efficient, and can be used as an alternative to establish new exact solutions of different types of fractional differential equations arising from mathematical physics. The obtained results are exhibited graphically in order to demonstrate the efficiencies and applicabilities of these proposed methods of solving the nonlinear time fractional KdV-KZK equation.

关键词： KdV-Khokhlov-Zabolotskaya-Kuznetsov equation Kudryashov method modified Kudryashovmethod fractional complex transform modified Riemann-Liouville derivative

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Transcription's bubble under the influence of long-range interactions and helicoidal coupling

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chinese Physics B 2013年第12期22卷 589-602页

作者： Mirabeau saha Timolon c.Kofan Laboratory of Mechanics Department of Physics Faculty of Science University of Yaounde' P. O. Box 812 Yaounde' Cameroon The Abdus salam International center for Theoretical Physics P. O. Box 586 Strada Costiera 11 I-34014 Trieste Italy

The influence of power-low long-range interactions （LRI） and helicoidal coupling （Hc） on the properties of localized solitons in a DNA molecule when a ribonucleic acid polymerase （RNAP） binds to it at the physiological temperature is analytically and numerically investigated in this paper. We have made an analogy with the Heisenberg model Hamiltonian of an anisotropic spin ladder with ferromagnetic legs and anti-ferromagnetic rung coupling. When we limit ourselves to the second-order terms in the Taylor expansion, the DNA dynamics is found to be governed by a completely integrable nonlinear schr？dinger （NLs） equation. In this case, results show that increasing the value of Hc force or LRI parameter enhances the bubble height and reduces the number of base pairs which form the bubble. For the fourth-order terms in a Taylor expansion, results are closely resembling those of second-order terms, and are confirmed by numerical investigation. These results match with some experimental data and thus provide a better representation of the base pairs opening in DNA which is essential for the transcription process.

关键词： DNA helicoidal coupling RNA-polymerase spin model Riemann zeta function power-law long-range interaction breather-like soliton

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A Novel Approach with Time-splitting spectral Technique for the coupled schrdinger–Boussinesq Equations Involving Riesz Fractional Derivative

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communications in Theoretical Physics 2017年第9期67卷 301-308页

作者： s.saha Ray Department of Mathematics National Institute Technology

In the present paper the Riesz fractional coupled schr6dinger-Boussinesq （s-B） equations have been solved by the time-splitting Fourier spectral （TsFs） method. This proposed technique is utilized for discretizing the schrodinger like equation and further, a pseudospectral discretization has been employed for the Boussinesq-like equation. Apart from that an implicit finite difference approach has also been proposed to compare the results with the solutions obtained from the time-splitting technique. Furthermore, the time-splitting method is proved to be unconditionally stable. The error norms along with the graphical solutions have also been presented here.

关键词： coupled schrsdinger-Boussinesq equations Riesz fractional derivative discrete fourier transform inverse discrete Fourier transform

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status and prospects for symmetric organic redox flow batteries

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Journal of Energy chemistry 2025年第1期100卷 125-143页

作者： Md Al Raihan c.Adam Dyker Department of chemistry University of New Brunswick

As environmental concerns from fossil fuel consumption intensify, large-scale energy storage becomes imperative for the integration of renewable sources like wind, hydro, and solar with the electrical *** flow batteries, particularly those employing organic molecules, are positioned as a key technology for this purpose. This review explores the growing field of symmetric organic redox flow batteries(ORFBs) within this context. Unlike traditional asymmetric designs based on unique active materials for each electrode, symmetric ORFBs involve a single bipolar species for both electrodes. This review highlights the benefits of a symmetric design, and categorizes five distinct classes of organic bipolar molecules used in both aqueous and non-aqueous solvents. By providing a comprehensive overview of their cell cycling and performance characteristics, the strengths and weaknesses of the diverse categories of bipolar molecules are highlighted for both solvent systems, as are opportunities for future development. This should guide new research directions and advance the development of practical symmetric ORFBs.

关键词： Redox flow battery symmetric battery Organic battery Aqueous electrolyte Non-aqueous electrolyte

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New Exact solutions for the Wick-Type stochastic Kudryashov–sinelshchikov Equation

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communications in Theoretical Physics 2017年第2期67卷 197-206页

作者： s.saha Ray s.singh Department of Mathematics National Institute Technology Rourkela Orissa-769008 India

In this article, exact solutions of Wick-type stochastic Kudryashov–sinelshchikov equation have been obtained by using improved sub-equation method. We have used Hermite transform for transforming the Wick-type stochastic Kudryashov–sinelshchikov equation to deterministic partial differential equation. Also we have applied inverse Hermite transform for obtaining a set of stochastic solutions in the white noise space.

关键词： Kudryashov–sinelshchikov Wick-product White noise space improved sub-equation method Hermite transform inverse Hermite transform

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New Exact solutions of Fractional Zakharov–Kuznetsov and Modified Zakharov–Kuznetsov Equations Using Fractional sub-Equation Method

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communications in Theoretical Physics 2015年第1期63卷 25-30页

作者： s.saha Ray s.sahoo Department of Mathematics National Institute of Technology Rourkela Orissa- 769008 India

In the present paper, we construct the analytical exact solutions of some nonlinear evolution equations in mathematical physics; namely the space-time fractional Zakharov–Kuznetsov(ZK) and modified Zakharov–Kuznetsov(m ZK) equations by using fractional sub-equation method. As a result, new types of exact analytical solutions are obtained. The obtained results are shown graphically. Here the fractional derivative is described in the Jumarie's modified Riemann–Liouville sense.

关键词： fractional sub-equation method space-time fractional Zakharov-Kuznetsov (ZK) equation space-time fractional modified Zakharov-Kuznetsov (mZK) equation modified Riemann-Liouvillederivative Mittag-leffler function

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Higher-order approximate solutions of fractional stochastic point kinetics equations in nuclear reactor dynamics

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Nuclear science and Techniques 2019年第3期30卷 114-126页

作者： s.singh s.saha Ray Department of Mathematics National Institute of Technology Rourkela

stochastic point kinetics equations(sPKEs) are a system of Ito? stochastic differential equations whose solution has been obtained by higher-order *** this study, a fractional model of sPKEs has been analyzed. The efficiency of the proposed higher-order approximation scheme has been discussed in the results section. The solutions of sPKEs in the presence of Newtonian temperature feedback have also been provided to further discuss the physical behavior of the fractional model.

关键词： Fractional stochastic point reactor kinetics equations Fractional calculus Higher-order approximation caputo derivative Neutron population

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Painlevé analysis,auto-Bäcklund transformation and new exact solutions of(2+1)and(3+1)-dimensional extended sakovich equation with time dependent variable coefficients in ocean physics

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Journal of Ocean Engineering and science 2023年第3期8卷 246-262页

作者： shailendra singh s.saha Ray National Institute of Technology Department of MathematicsRourkela 769008India

This article considers time-dependent variable coefficients(2+1)and(3+1)-dimensional extended sakovich ***éanalysis and auto-Bäcklund transformation methods are used to examine both the considered ***éanalysis is appeared to test the integrability while an auto-Bäcklund transformation method is being presented to derive new analytic soliton solution families for both the considered *** new family of exact analytical solutions are being obtained success-fully for each of the considered *** soliton solutions in the form of rational and exponential functions are being *** results are also expressed graphically to illustrate the potential and physical behaviour of both *** the considered equations have applications in ocean wave theory as they depict new solitary wave soliton solutions by 3D and 2D graphs.

关键词： (2+1)-dimensional extended sakovich equation (3+1)-dimensional extended sakovich equation Auto-Bäcklund transformation Painlevéanalysis solitary wave solution

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conduction-radiation effect on natural convection flow in fluid-saturated non-Darcy porous medium enclosed by non-isothermal walls

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Applied Mathematics and Mechanics(English Edition) 2013年第6期34卷 687-702页

作者： M. A. HOssAIN M. sALEEM s. c. saha A. NAKAYAMA Department of Mathematics COMSATS Institute of Information Technology school of chemistry Physics & Mechanical Engineering Queensland University of Technology Department of Mechanical Engineering Shizuoka University

The combined effect of conduction-convection-radiation on natural convec- tion flow of an optically thick Newtonian fluid with gray radiant properties, confined in a porous media square cavity with Darcy-Brinkman-Forchheimer drag is studied numeri- cally. For a gray fluid, Rosseland diffusion approximation is considered. It is assumed that （i） the temperature of the left vertical wall varies linearly with height, （ii） the right vertical and top walls are at a lower temperature, and （iii） the bottom wall is uniformly-heated. The governing equations are solved using the alternate direct implicit method together with the successive over relaxation technique. The investigation of the effect of governing parameters, namely, the Forschheimer resistance （F）, the temperature difference （A）, and the Plank number （Rd）, on the flow pattern and heat transfer characteristics is carried out. It can be seen that the reduction of flow and heat transfer occur as the Forschheimer resistance is increased. On the other hand, both the flow strength and heat transfer in- crease as the temperature ratio A is increased.

关键词： conduction-convection-radiation,Darcy-Brinkman-Forchheimer drag porousmedium enclosure

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