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Transient growth in Poiseuille-Rayleigh-Bénard flows of binary fluids with soret effect

Applied Mathematics and Mechanics(English Edition) 2016年第9期37卷 1203-1218页

作者： Jun HU D.HENRY H.BENHADID Xieyuan YIN Institute of Applied Physics and Computational Mathematics Beijing 100088China Laboratoire de Mecanique des Fluides et d'Acoustique CNRS/Universitd de LyonEcole Centrale de Lyon/universite Lyon 1/INSA de LyonECL36 avenue Guy de Collongue69134 Ecully CedexFrance Department of Modern Mechanics University of Science and Technology of ChinaHefei 230027China

The transient growth due to non-normMity is investigated for the Poiseuille- Rayleigh-Benard problem of binary fluids with the soret effect. For negative separation factors such as ψ = -0.1, it is found that a large transient growth can be obtained by the non-normal interaction of the two least-stable-modes, i.e., the upstream and downstream modes, which determine the linear critical boundary curves for small Reynolds numbers. The transient growth is so strong that the optimal energy amplification factor G（t） is up to 10^2 - 10^3. While for positive separation factors such as ψ = 0.1, the transient growth is weak with the order O（I） of the amplification factor, which can even be computed by the least-stable-mode. However, for both cases, the least-stable-mode can govern the long-term behavior of the amplification factor for large time. The results also show that large Reynolds numbers have stabilization effects for the maximum amplification within moderate wave number regions. Meanwhile, much small negative or large positive separation factors and large Rayleigh numbers can enlarge the maximum transient growth of the pure streamwise disturbance with the wavenumber α= 3.14. Moreover, the initial and evolutionary two-dimensional spatial patterns of the large transient growth for the pure streamwise disturbance are exhibited with a plot of the velocity vector, spanwise vorticity, temperature, and concentration field. The initial three-layer cell vorticity struc- ture is revealed. When the amplification factor reaches the maximum Gmax, it develops into one cell structure with large amplification for the vorticity strength.

关键词： binary fluid soret effect transient growth Poiseuille-Rayleigh-Benard flow

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Influence of chemical reaction on heat and mass transfer of non-Newtonian fluid with yield stress by free convection from vertical surface in porous medium considering soret effect

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Applied Mathematics and Mechanics(English Edition) 2010年第6期31卷 675-684页

作者： F. S. IBRAHIM F. M. HADY S. M. ABDEL-GAIED M. R. EID Department of Mathematics Faculty of Science Assiut University Department of Science and Mathematics Faculty of Education Assiut University

The effect of chemical reaction on free convection heat and mass transfer for a non-Newtonian power law fluid over a vertical flat plate embedded in a fluid-saturated porous medium has been studied in the presence of the yield stress and the soret effect. The governing boundary layer equations and boundary conditions are cast into a dimen- sionless form by similarity transformations, and the resulting system of equations is solved by a finite difference method. The results are preSented and discussed for concentration profiles, as well as the Nusselt number and the Sherwood number for various values of the parameters, which govern the problem. The results obtained show that the flow field is influenced appreciably by the presence of the chemical reaction parameter γ the order *** chemical reaction parameter m, the soret number St, the buoyancy ratio N, the Lewis number Le, and the dimensionless rheological parameter Ω.

关键词： non-Newtonian fluid free convection chemical reaction yield stress soret effect

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Two-dimensional simulation of Poiseuille-Rayleigh-Bénard flows in binary fluids with soret effect

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Progress in Natural Science:Materials International 2007年第12期17卷 1389-1396页

作者： Hu Jun1 and Yin Xieyuan2(1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China 2. Department of Modern Mechanics, University of Science and Technology of China, Hefei 230027, China) Institute of Applied Physics and Computational Mathematics Beijing 100088 China Department of Modern Mechanics University of Science and Technology of China Hefei 230027 China

Poiseuille-Rayleigh-Bénard flows in binary fluids with soret effect are directly simulated by a mixed finite element method. A temperature perturbation is used as an initial disturbed source for the basic parallel flows. The whole spatio-temporal evolution of the binary fluid flows is exhibited: initially only the disturbed mode with the wavenumber k=π is amplified while others are damped, and continuously the amplified mode grows further and the nonlinear effect becomes important; after a nonlinear evolution transition the flow system evolves finally into a periodic right traveling wave.

关键词： Poiseuille-Rayleigh-Bénard flow soret effect through-flow.

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NUMERICAL STUDY ON soret-effect AND DUFOUR-effect FOR DOUBLE-DIFFUSIVE NATURAL CONVECTION IN POROUS ENCLOSURE

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Journal of Hydrodynamics 2003年第6期15卷 88-95页

作者： ChenBao-ming ZhangLi-qiang WangBu-xuan DepartmentofAir-conditioningandRefrigerationEngineering ShandongInstituteofArchitectureandEngineeringJinan250014China DepartmentofThermalEngineering TsinghuaUniversity.Beijing100084China

The influences of soret effect and Dufour effect on the natural convectionand heal and mass transfer for a porous enclosure were investigated by means of the penalty finiteelement method. Numerical results indicate that the soret and Dufour effects have significantinfluences on heat and mass transfer in the presence of large temperature gradient and concentrationgradient.

关键词： soret effect dufour effect natural convection double diffusive heat andmass transfer

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High Seebeck Coefficient Thermally Chargeable Supercapacitor with Synergistic effect of Multichannel Ionogel Electrolyte and Ti_(3)C_(2)T_(x)MXene-Based Composite Electrode

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Energy & Environmental Materials 2024年第6期7卷 367-377页

作者： Zhongming Chen Zhijian Du La Li Kai Jiang Di Chen Guozhen Shen School of Mathematics and Physics University of Science and Technology BeijingBeijing 100083China School of Integrated Circuits and Electronics Beijing Institute of TechnologyBeijing 100081China Faculty of Hepato-Pancreato-Biliary Surgery Chinese PLA General HospitalInstitute of Hepatobiliary Surgery of Chinese PLA&Key Laboratory of Digital Hepetobiliary SurgeryChinese PLABeijing 100853China

Thermally chargeable supercapacitors can collect low-grade heat generated by the human body and convert it into electricity as a power supply unit for wearable ***,the low Seebeck coefficient and heat-to-electricity conversion efficiency hinder further *** this paper,we designed a high-performance thermally chargeable supercapacitor device composed of ZnMn_(2)O_(4)@Ti_(3)C_(2)T_(x)MXene composites(ZMO@Ti_(3)C_(2)T_(x)MXene)electrode and UIO-66 metal–organic framework doped multichannel polyvinylidene fluoridehexafluoro-propylene ionogel electrolyte,which realized the thermoelectric conversion and electrical energy storage at the same *** thermally chargeable supercapacitor device exhibited a high Seebeck coefficient of 55.4 mV K^(−1),thermal voltage of 243 mV,and outstanding heat-to-electricity conversion efficiency of up to 6.48%at the temperature difference of 4.4 *** addition,this device showed excellent charge–discharge cycling stability at high-temperature differences(3 K)and low-temperature differences(1 K),*** two thermally chargeable supercapacitor units in series,the generated output voltage of 500 mV further confirmed the stability of *** a single device was worn on the arm,a thermal voltage of 208.3 mV was obtained indicating the possibility of application in wearable electronics.

关键词： ionogel electrode soret effect thermally chargeable supercapacitor Ti_(3)C_(2)T_(x)MXene UIO-66 MOF

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Magnetohydrodynamics bio-convection flow at Casson fluid stagnation point in porous medium:Cross-diffusion effect and heat production

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Propulsion and Power Research 2024年第3期13卷 445-457页

作者： Snehal Patel Harshad R.Patel Gujarat Technological University AhmedabadGujaratIndia Department of Mathematics U V Patel College of EngineeringGanpat UniversityMahesanaIndia

This study examines the effect of heat production and radiation absorption on the magnetohydrodynamic Cassonfluidflow at the stagnation point in a porous *** convert the group offluidflow equations,which are non-linear partial differential equations with suitable boundary constraints,into a set of non-linear ordinary differential equations using similarity *** homotopy analysis method(HAM)solves the converted system of ordinary differential *** draw graphs for numerous values of non-dimensional pa-rameters and tables of surface drag force,rates of heat transfer,and mass transfer to analyze the relationship between velocityfield,temperaturefield,concentrationfield,and other essential parameters involved in the *** have proven that the Dufour number,radiation parameter,and heat generation parameter elevate thefluid temperature,whereas the magnetic parameter lowers *** Cassonfluid parameter,buoyancy force parameter,and mixed convection param-eter all promotefluid movement throughout *** presented tabular data allows us to see the trend of heat and mass transfer rates,as well as drag force rates,against important parameters,enhancing our understanding of these rates.

关键词： Cassonfluid Magnetohydrodynamics(MHD) Stagnation pointflow Thermal radiation Heat source/sink soret effect

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Numerical investigation of Dufour and soret effects on unsteadyMHD natural convection flow past vertical plate embedded innon-Darcy porous medium

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Applied Mathematics and Mechanics(English Edition) 2012年第2期33卷 195-210页

作者： M.Q.AL-ODAT A.AL-GHAMDI Mechanical Engineering Department Faculty of EngineeringUmm Al-Qura UniversityMakkahKingdom of Saudi Arabia Mechanical Engineering Department Al-Huson University CollegeAl-Balqa Applied UniversityIrbidJordan

The Dufour and soret effects on the unsteady twodimensional magnetonyaro dynamics （MHD） doublediffusive free convective flow of an electrically conducting fluid past a vertical plate embedded in a nonDarcy porous medium are investigated numeri cally. The governing nonlinear dimensionless equations are solved by an implicit finite difference scheme of the CrankNicolson type with a tridiagonal matrix manipulation. The effects of various parameters entering into the problem on the unsteady dimension less velocity, temperature, and concentration profiles are studied in detail. Furthermore, the time variation of the skin friction coefficient, the Nusselt number, and the Sherwood number is presented and analyzed. The results show that the unsteady velocity, tem perature, and concentration profiles are substantially influenced by the Dufour and soret effects. When the Dufour number increases or the soret number decreases, both the skin friction and the Sherwood number decrease, while the Nusselt number increases. It is found that, when the magnetic parameter increases, the velocity and the temperature decrease in the boundary layer.

关键词： double-diffusive free convection non-Darcy model magnetohydrodynamic(MHD) porous medium Dufour effect soret effect numerical solution

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Ionic thermoelectric materials and devices

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Journal of Energy Chemistry 2021年第10期30卷 88-103,I0003页

作者： Dan Zhao Alois Würger Xavier Crispin Laboratory of Organic Electronics Linkoping UniversityNorrkoping 60247Sweden Univ.Bordeaux&CNRS LOMA(UMR 5798)F-33405 TalenceFrance Wallenberg Wood Science Center ITNLinköping UniversityNorrköpingSweden

The tremendous amount of wasted heat from solar radiation and industry dissipation has motivated the development of thermoelectric concepts that directly convert heat into *** main challenge in practical applications for thermoelectrics is the high cost from both materials and ***,breakthrough progresses in ionic thermoelectrics open up new possibilities to charge energy storage devices when submitted to a temperature *** charging voltage is internally from the ionic Seebeck effect of the electrolyte between two *** electrolytes with high thermoelectric figure of merit are classified as ionic thermoelectric *** ionic thermoelectric materials are composed of abundant elements,and they can generate hundreds of times larger thermal voltage than that of electronic *** emerging thermoelectric category brings new hope to fabricate low cost and large area heat-to-energy conversion devices,and triggers a renewed interest for ionic *** this review,we summarize the state of the art in the new field of ionic thermoelectrics,from the driving force of the ionic thermodiffusion to material and application *** present a general map of ionic thermoelectric materials,discuss the unique characters of each type of the reported electrolytes,and propose potential optimization and future topics of ionic thermoelectrics.

关键词： Electrolytes soret effect Thermodiffusion Thermal energy conversion

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Steady thermal-solutal capillary convection in a shallow annular pool with the radial temperature and concentration gradients

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Science China(Technological Sciences) 2012年第8期55卷 2176-2183页

作者： LI YouRong GONG ZhenXing WU ChunMei WU ShuangYing Key Laboratory of Low-grade Energy Utilization Technologies and Systems of Ministry of Education College of Power EngineeringChongqing UniversityChongqing 400044China

Using asymptotical analysis,we investigate the characteristics of the coupled thermal and solutal capillary convection with the radial temperature and solute concentration gradients in a shallow annular pool with the free *** pool is heated from the outer cylinder with high solutal concentration and cooled at the inner cylinder with low solutal *** asymptotic solution is obtained in the core region in the limit as the aspect ratio,which is defined as the ratio of the depth to the width of the pool,goes to *** comparison with the previous work certifies that the asymptotic solution is right and *** influences of the solutal capillary force,the buoyant force,the soret effect and the geometric parameters on the fluid flow are analyzed.

关键词： coupled thermal and solutal capillary convection asymptotic solution buoyancy soret effect

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Fractional Analysis of Viscous Fluid Flow with Heat and Mass Transfer Over a Flexible Rotating Disk

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Computer Modeling in Engineering & Sciences 2020年第4期123卷 377-400页

作者： Muhammad Shuaib Muhammad Bilal Muhammad Altaf Khan Sharaf J.Malebary Department of Mathematics City University of Science and Information TechnologyPeshawarPakistan Institute for Groundwater Studies Faculty of Natural and Agricultural SciencesUniversity of the Free StateBloemfonteinSouth Africa Department of Information Technology Faculty of Computing and Information TechnologyKing Abdulaziz UniversityRabighSaudia Arabia

An unsteady viscous fluid flow with Dufour and soret effect,which results in heat and mass transfer due to upward and downward motion of flexible rotating disk,has been *** upward or downward motion of non rotating disk results in two dimensional flow,while the vertical action and rotation of the disk results in three dimensional *** using an appropriate transformation the governing equations are transformed into the system of ordinary differential *** system of ordinary differential equations is further converted into first order differential equation by selecting suitable ***,we generalize the model by using the Caputo *** numerical result for the fractional model is presented and validated with Runge Kutta order 4 method for classical *** compared results are presented in Table and *** is concluded that the fractional model is more realistic than that of classical one,because it simulates the fluid behavior at each fractional value rather than the integral values.

关键词： Caputo derivatives similarity transformation RK4 soret effect Dufour effect

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