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Propulsion and Power Research 2018年第2期7卷 158-170页

作者： dulal pal Sukanta Biswas Department of Mathematics Visva-Bharati UniversitySiksha-Bhavana(Institute of Science)SantiniketanWest Bengal 731235India Mathematics Department Ananda Mohan CollegeKolkataWest Bengal 700009India

This paper deals with the investigation of double-diffusive heat and mass transfer characteristics of an oscillatory viscous electrically conducting micropolar fluid over a moving plate with convective boundary condition and chemical *** non-linear partial differential equations are first converted into nonlinear ordinary differential equations by means of perturbation analysis and the governing equations are solved *** effects of magnetic field,chemical reaction,permeability parameter,Prandtl number,Schmidt number,thermal radiation and viscosity parameter are analyzed on skin friction,Nusselt number,velocity,and temperature&concentration *** is observed that the concentration profiles decrease with increase in the dimensionless time and increase with increase in the chemical reaction *** is also observed that the velocity profile increases with increase in time but reverse effects are found by increasing the value of the viscosity ratio ***,it is seen that the effect of magnetic field parameter is to increase the micro-rotational velocity profiles but reverse effect is observed by increasing time.

关键词： Chemical reaction Convective boundary condition Heat and mass transfer Micropolar fluid Magnetohydrodynamics Porous medium Thermal radiation

Magnetohydrodynamic stagnation-point flow of Sisko nanofluid over a stretching sheet with suction

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Propulsion and Power Research 2020年第4期9卷 408-422页

作者： dulal pal Gopinath Mandal Department of Mathematics Institute of ScienceVbva-Bharati UniversitySantiniketanWest Bengal731235India Siksha Satra Visva-BharatiSriniketanWest Bengal731236India

A numerical investigation is presented to show the effects of thermo-diffusion on the hydromagnetic stagnation-point flow of Sisko nanofluid over a linearly stretching sheet by considering viscous dissipation and Joule heating with suction/injection.A suitable set of similarity transformations is considered in order to convert the basic partial differential equations into a set of coupled nonlinear ordinary differential *** efficient numerical method along with shooting technique is involved in older to solve the reduced governing basic *** influences of several emerging physical parameters of Sisko nanofluid on the profiles of velocity,temperature,solutal concentration,nanoparticle volume fraction,skin-friction coefficient,Nusselt number,and Sherwood number have been studied and analyzed in detail through graphs and *** is found that the skin friction coefficient decays more rapidly against the material parameter of Sisko ***,it is noticed that the Brownian motion and thermophoresis parameter have the reverse effects on Sisko nanofluid Sherwood num*** is analyzed that the Nusselt number decreases with an increase in the values of thermophoresis *** motion parameter,and Eckert number,while its value increases with material parameter and Dufour solutal Lewis *** is observed that the Sherwood number has ascending behavior for thermophoresis *** motion parameters,whereas nanofluid Sherwood number gets amplified with a hike in the nano Lewis number parameter for all the values of Brownian motion parameter.

关键词： Magnetohydrodynamics Stagnation-point Siskona nofluid Suction Joule heating

Influence of magneto-thermo radiation on heat transfer of a thin nanofluid film with non-uniform heat source/sink

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Propulsion and Power Research 2020年第2期9卷 169-180页

作者： dulal pal Debranjan Chatterjee Kuppalapalle Vajravelu Department of Mathematics Institute of ScienceHsva-Bharati(A Central University)SantiniketanWest Bengal731235India Department of Mathematics Bahiri B.S High SchoolBolpurBirbhumWest Bengal731204India Department of Mathematics Department of MechanicalMaterial and Aerospace EngineeringUniversity of Central FloridaOrlandoFL32816USA

The objective of the present work is to analyze the flow,heat and mass transfer characteristics in a thin nanofluid film over a heated stretched sheet in the presence of a non-uniform heat source/sink and thermal *** variables are used to transform the partial differential equations into a system of ordinary differential *** resulting system of nonlinear ordinary differential equations is then solved numerically by using the Runge-Kutta-Fehlberg integration scheme with a shooting *** effects of the unsteadiness parameter,the thermal radiation,the non-uniform heat source/sink parameter on flow and heat transfer fields are *** is found that an increase in the unsteadiness parameter is to increase the velocity and temperature gradient ***,an increase in the thermal radiation parameter affects the nanoparticle temperature gradient of the nanofluid film but the reversed is true with the concentration gradient.

关键词： Magnetohydrodynamic Thermal radiation Internal heat source/Stretching sheet Thin liquid film

Magneto-Soret-Dufour thermo-radiative doublediffusive convection heat and mass transfer of a micropolar fluid in a porous medium with Ohmic dissipation and variable thermal conductivity

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Propulsion and Power Research 2022年第1期11卷 154-170页

作者： dulal pal Bhuban Chandra Das Kuppalapalle Vajravelu Department of Mathematics Siksha BhavanaVisva-Bharati UniversitySantiniketan731235West BengalIndia Department of Mathematics Rammohan College102/1 Raja Rammohan SaraniKolkata700009India Department of Mathematics Department of MechanicalMaterial and Aerospace EngineeringUniversity of Central FloridaOrlandoFL32816USA

This paper deals with developing a numerical boundary layer flow model to analyze convective heat transfer characteristics of a micropolar fluid past a vertical plate in a composite material with viscous-Ohmic dissipations in the presence of a transverse magnetic *** basic governing equations are solved numerically by using the Runge-Kutta-Fehlberg *** computed results reveal a reduction in the velocity,temperature,and microrotation profiles by increasing the Prandtl ***,the concentration distribution is enhanced by enhancing or decreasing Soret-Dufour parameter,and there seems to be decremented in the skin-friction coefficient values with Schmidt number.

关键词： Double diffusive convection Thermal radiation Micropolar fluid Soret-Dufour

Double diffusive magnetohydrodynamic heat and mass transfer of nanofluids over a nonlinear stretching/shrinking sheet with viscous-Ohmic dissipation and thermal radiation

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Propulsion and Power Research 2017年第1期6卷 58-69页

作者： dulal pal Gopinath Mandal Department of Mathematics Institute of ScienceVisva-Bharati UniversitySantiniketanWest Bengal 731235India Siksha Satra Visva-BharatiSriniketanWest Bengal 731236India

The study of magnetohydrodynamic(MUD)convective heat and mass transfer near a stagnation-point flow over stretching/shrinking sheet of nanofluids is presented in this paper by considering thermal radiation,Ohmic heating,viscous dissipation and heat source/sink parameter ***-similarity method is adopted for the governing basic equations before they are solved numerically using Runge-Kutta-Fehlberg method using shooting *** numerical results are validated by comparing the present results with previously published *** focus of this paper is to study the effects of some selected governing parameters such as Richardson number,radiation parameter,Schimdt number,Eckert number and magnetic parameter on velocity,temperature and concentration profiles as well as on skin-friction coefficient,local Nusselt number and Sherwood number.

关键词： Nanofluids Magnetohydrodynamics Heat and mass transfer Thermal radiation Convection Ohmic dissipation

On radiative-magnetoconvective heat and mass transfer of a nanofluid past a non-linear stretching surface with Ohmic heating and convective surface boundary condition

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Propulsion and Power Research 2016年第4期5卷 326-337页

作者： Shweta Mishra dulal pal Hiranmoy Mondal Precious Sibanda School of Engineering and Technology Amity UniversityNew TownKolkataWest Bengal 700135India Department of Mathematics Institute of ScienceVisva-Bharati(A Central University)SantiniketanWest Bengal 731235India School af Mathematics Statistics and Computer ScienceUniversity of KwaZulu-NatalPrivate Bag X01ScottsviUePietermaritzburg 3209South Africa

In this paper magnetoconvective heat and mass transfer characteristics of a two-dimensional steady flow of a nanofluid over a non-linear stretching sheet in the presence of thermal radiation,Ohmic heating and viscous dissipation have been investigated *** model used for the nanofluid incorporates the effects of the Brownian motion and the presence of nanopanicles in the base *** governing equations are transformed into a system of nonlinear oidinary differential equations by using similarity *** numerical solutions are obtained by using fifth order Runge-Kutta-Fehlberg method with shooting *** non-dimensional parameters on velocity,temperature and concentration profiles and also on local Nusselt number and Sherwood number are *** results indicate that the local skin friction coefficient decreases as the value of the magnetic parameter increases whereas the Nusselt number and Sherwood number increase as the values of the Brownian motion parameter and magnetic parameter increase.

关键词： Nanofluid Magnetoconvection Thermal radiation Non-linear stretching sheet Ohmic heating

Observation of Complex Organic Molecules Containing Peptide-like Bonds Toward Hot Core G358.93-0.03 MM1

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Research in Astronomy and Astrophysics 2024年第7期24卷 181-189页

作者： Arijit Manna Sabyasachi pal Department of Physics and Astronomy Midnapore City CollegePaschim MedinipurWest Bengal721129India

In star formation regions,the complex organic molecules(COMs)that contain peptide bonds(-NH-C(=O)-)play a major role in the metabolic process because-NH-C(=O)-is connected to amino acids(R-CHNH_2-COOH).Over the past few decades,many COMs containing peptide-like bonds have been detected in hot molecular cores(HMCs),hot corinos,and cold molecular clouds,however,their prebiotic chemistry is poorly *** present the first detection of the rotational emission lines of formamide(NH_2CHO)and isocyanic acid(HNCO),which contain peptide-like bonds toward the chemically rich HMC G358.93-0.03 MM1,using high-resolution and high-sensitivity Atacama Large Millimeter/submillimeter Array bands 6 and *** estimate that the column densities of NH_2CHO and HNCO toward G358.93-0.03 MM1 are(2.80±0.29)×10~(15)cm~(-2)and(1.80±0.42)×10~(16)cm~(-2)with excitation temperatures of 165±21 K and 170±32 K,*** fractional abundances of NH_2CHO and HNCO toward G358.93-0.03 MM1 are(9.03±1.44)×10~(-10)and(5.80±2.09)×10^(-9).We compare the estimated abundances of NH_2CHO and HNCO with the existing threephase warm-up chemical model abundance values and notice that the observed and modeled abundances are very *** conclude that NH_2CHO is produced by the reaction of NH_2and H_2CO in the gas phase toward G358.93-0.03 ***,HNCO is produced on the surface of grains by the reaction of NH and CO toward G358.93-0.03 *** also find that NH_2CHO and HNCO are chemically linked toward G358.93-0.03 MM1.

关键词： ISM individual objects(G358.93-0.03)-ISM abundances-ISM kinematics and dynamics-stars formation-astrochemistry

Analytical solutions fractional order partial differential equations arising in fluid dynamics

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Applied Mathematics(A Journal of Chinese Universities) 2024年第3期39卷 458-468页

作者： Sidheswar Behera Jasvinder Singh pal Virdi Department of Physics Veer Surendra Sai University of TechnologyOdishaIndia

This article describes the solution procedure of the fractional Pade-Ⅱ equation and generalized Zakharov equation(GSEs)using the sine-cosine ***-Ⅱ is an important nonlinear wave equation modeling unidirectional propagation of long-wave in dispersive media and GSEs are used to model the interaction between one-dimensional high,and low-frequency *** of trigonometric and hyperbolic function solutions in fractional calculus are *** simulations of the numerical solutions are flaunted by MATLAB.

关键词： the sine-cosine method He's fractional derivative analytical solution fractional Pade-Ⅱequation fractional generalized Zakharov equation

Dynamical behaviors of a constant prey refuge ratio-dependent prey-predator model with Allee and fear effects

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International Journal of Biomathematics 2024年第1期17卷 227-250页

作者： Soumitra pal Pijush Panday Nikhil pal A.K.Misra Joydev Chattopadhyays Department of Mathematics Institute of Science Banaras Hindu University Varanasi 221005India Department of Mathematical and Statistical Sciences University of Alberta EdmontonAB T6G 2G1Canada Department of Mathematics Visva-Bharati Santiniketan 731235India Agricultural and Ecological Research Unit Indian Statistical Institute 203 B.T.RoadKolkata 700108India

In this paper,we consider a nonlinear ratio-dependent prey-predator model with constant prey refuge in the prey *** Allee and fear phenomena are incorporated explicitly in the growth rate of the prey *** qualitative behaviors of the proposed model are investigated around the equilibrium points in *** bifurcation including its direction and stability for the model is also *** observe that fear of predation risk can have both stabilizing and destabilizing effects and induces bubbling phenomenon in the *** is also observed that for a fixed strength of fear,an increase in the Allee parameter makes the system unstable,whereas an increase in prey refuge drives the system toward ***,higher values of both the Allee and prey refuge parameters have negative impacts and the populations go to ***,we explore the variation of densities of the populations in different bi-parameter spaces,where the coexistence equilibrium point remains *** simulations are carried out to explore the dynamical behaviors of the system with the help of MATLAB software.

关键词： Predator-prey system Allee effect fear effect prey refuge bifurcation population density

Analytical Verification of Performance of Deep Neural Network Based Time-synchronized Distribution System State Estimation

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Journal of Modern Power Systems and Clean Energy 2024年第4期12卷 1126-1134页

作者： Behrouz Azimian Shiva Moshtagh Anamitra pal Shanshan Ma School of Electrical Computer and Energy EngineeringArizona State UniversityTempeAZ 85281USA the School of Electrical Computer and Energy EngineeringArizona State UniversityTempeAZ 85281USA Quanta Technology RaleighNC 27607USA

Recently,we demonstrated the success of a time-synchronized state estimator using deep neural networks(DNNs)for real-time unobservable distribution *** this paper,we provide analytical bounds on the performance of the state estimator as a function of perturbations in the input *** has already been shown that evaluating perfor-mance based only on the test dataset might not effectively indi-cate the ability of a trained DNN to handle input *** such,we analytically verify the robustness and trustworthi-ness of DNNs to input perturbations by treating them as mixed-integer linear programming(MILP)*** ability of batch normalization in addressing the scalability limitations of the MILP formulation is also *** framework is val-idated by performing time-synchronized distribution system state estimation for a modified IEEE 34-node system and a real-world large distribution system,both of which are incompletely observed by micro-phasor measurement units.

关键词： Deep neural network(DNN) distribution system state estimation(DSSE) mixed-integer linear programming(MILP) robustness trustworthiness