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Applied Mathematic. and Mec.anic.(English Edition) 2012年第7期33卷 931-950页

作者： j. c. umavathi I. c. LIU M. SHEKAR Department of Mathematic. Gulbarga University Department of c.vil Engineering National Chi Nan University

The c.mbined effec.s of thermal and mass c.nvec.ion of visc.us inc.m- pressible and immisc.ble fluids through a vertic.l wavy wall and a smooth flat wall are analyzed. The dimensionless governing equations are perturbed into a mean part （the zeroth-order） and a perturbed part （the first-order）. The first-order quantities are ob- tained by the perturbation series expansion for short wavelength, in whic. the terms of the exponential order arise. The analytic.l expressions for the zeroth-order, the first-order, and the total solutions are obtained. The numeric.l c.mputations are presented graph- ic.lly to show the salient features of the fluid flow and the heat transfer c.arac.eristic.. Separate solutions are matc.ed at the interfac. by using suitable matc.ing c.nditions. The shear stress and the Nusselt number are also analyzed for variations of the governing parameters. It is observed that the Grashof number, the visc.sity ratio, the width ratio, and the c.nduc.ivity ratio promote the veloc.ty parallel to the flow direc.ion. A reversal effec. is observed for the veloc.ty perpendic.lar to the flow direc.ion.

关键词： mixed c.nvec.ion wavy wall immisc.ble fluid perturbation method

Unsteady flow and heat transfer of porous media sandwic.ed between visc.us fluids

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Applied Mathematic. and Mec.anic.(English Edition) 2010年第12期31卷 1497-1516页

作者： j. c. umavathi I. c. LIU j. PRATHAP-KUMAR D. SHAIK-MEERA Department of Mathematic. Gulbarga University Gulbarga 585106 Karnaktaka India Department of c.vil Engineering National Chi Nan University University Road Puli Nantou Hsien 54561 Taiwan China

The problem of unsteady osc.llatory flow and heat transfer of porous medin sandwic.ed between visc.us fluids has been c.nsidered through a horizontal c.annel with isothermal wall temperatures. The flow in the porous medium is modeled using the Brinkman equation. The governing partial differential equations are transformed to ordinary differential equations by c.llec.ing the non-periodic.and periodic.terms. c.osed-form solutions for eac. region are found after applying the boundary and interfac. c.nditions. The influenc. of physic.l parameters, suc. as the porous parameter, the frequenc. parameter, the periodic.frequenc. parameter, the visc.sity ratios, the c.nduc.ivity ratios, and the Prandtl number, on the veloc.ty and temperature fields is c.mputed numeric.lly and presented graphic.lly. In addition, the numeric.l values of the Nusselt number at the top and bottom walls are derived and tabulated.

关键词： unsteady porous medium immisc.ble fluid horizontal c.annel analytic.lsolution

Flow c.arac.eristic. in a parallel-plate porous c.annel under c.nvec.ive boundary c.nditions and triple diffusion for the non-Darc. porous matrix

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Propulsion and Power Researc. 2021年第4期10卷 396-411页

作者： j.c.umavathi Department of Mathematic. Gulbarga UniversityGulbarga585106KarnatakaIndia

This artic.e inspec.s the effec. of triple diffusion in a vertic.l c.nduit enc.psulated with porous matrix and subj.c.ed to third kind boundary *** kind boundary c.ndition is a c.mbination of Diric.let and Neumann boundary c.nditions whic. spec.fies a linear c.mbination of func.ion and its derivative values on the *** c.emic.l reac.ion along with visc.us and Darc. dissipation effec.s are *** the Boussinesq approximation,the soultal buoyanc. effec.s due to c.nc.ntration gradients of the dispersed c.mponents are taken into *** suitable transformations,the c.nservation equations are reduc.d into dimensionless form and the dimensionless parameters evolved are thermal Grashof number (0≤Λ_(1)≤20),solutal Grashof number(for spec.es 1 and 2,0≤Λ_(2);Λ_(3)≤20),porous (2≤σ≤8) and inertial parameters (0≤Ι≤6),Biot numbers(at the left and right walls,1≤Bi_(1);Bi_(2)≤10),Brinkman number (0≤Br≤1),Sc.midt numbers (0≤Sc.(1);Sc.(2)≤6),Soret numbers (Sr_(1) =Sr_(2) =1) and temperature differenc. ratio (R_(T) = 1).Adopting perturbation tec.nique,the analytic.l solutions whic. are applic.ble only when the Brinkman number is less than one is *** for any values of the Brinkman number,Runge-Kutta shooting method is *** impac. of selec.ed parameters on the momentum,heat and dual spec.es c.nc.ntration fields are presented in the form of *** solutions c.mputed by numeric.l method are j.stified by c.mparing with the analytic.l *** numeric.l and analytic.l solutions are equal in the absenc. of Darc. and visc.us dissipations and the disc.epanc. advanc.s as the Brinkman number *** the solutions obtained are also j.stified by c.mparing the results with Zanc.ini[1]in the absenc. of c.emic.l reac.ion for c.ear *** thermal field is augmented with the Brinkman number for symmetric.and asymmetric.Biot *** the profiles are highly distinc. at the c.ld plate for unequal Biot numbers

关键词： Mixed c.nvec.ion Robin boundary c.nditions Darc.-Forc.heimer-Brinkman model Soret number Runge-Kutta shooting method

Flow and heat transfer of c.mposite porous medium saturated with nanofluid

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Propulsion and Power Researc. 2019年第2期8卷 173-181页

作者： j.c.umavathi K.Hemavathi Department of Mathematic. Gulbarga UniversityGulbarga 585106KarnatakaIndia

The present artic.e is c.nc.rned with the heat transfer of nanofluid saturated with porous medium sandwic.ed between c.ear visc.us fluid filled in a vertic.l *** model is developed to analyze the behavior of nanofluids taking into ac.ount the solid volume *** governing equations are obtained based on the Darc.'s law for the porous medium and Tiwari and Das model to define the *** visc.us and Darc. dissipation terms are inc.uded in the energy *** transformed dimensionless governing equations are solved analytic.lly using regular *** are c.rried out on the flow c.arac.eristic. for different values of Grashof number,Brinkman number,solid volume frac.ion and porous parameter using water as base fluid and c.pper as *** and heat transfer are also observed using five different types of *** is found that the maximum value of Nusselt number is obtained for silver nanopartic.e.

关键词： Nanofluid Porous matrix Visc.us fluid Vertic.l c.annel

Mixed c.nvec.ion flow in vertic.l c.annel with boundary c.nditions of third kind in presenc. of heat sourc./sink

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Applied Mathematic. and Mec.anic.(English Edition) 2012年第8期33卷 1015-1034页

作者： j.c.umavathi j.PRATHAP KUMAR j.WERIYA SULTANA Department of Mathematic. Gulbarga UniversityGulbarga 585106KarnatakaIndia

The effec.s of visc.us dissipation and heat sourc./sink on fully developed mixed c.nvec.ion for the laminar flow in a parallel-plate vertic.l c.annel are investigated. The plate exc.anges heat with an external fluid. Both c.nditions of equal and different referenc. temperatures of the external fluid are c.nsidered. First, the simple c.ses of the negligible Brinkman number or the negligible Grashof number are solved analytic.lly. Then, the c.mbined effec.s of buoyanc. forc.s and visc.us dissipation in the presenc. of heat sourc./sink are analyzed by a perturbation series method valid for small values of the perturbation parameter. To relax the c.nditions on the perturbation parameter, the veloc.ty and temperature fields are solved by using the Runge-Kutta fourth-order method with the shooting tec.nique. The veloc.ty, temperature, skin fric.ion, and Nusselt num- bers at the plates are disc.ssed numeric.lly and presented through graphs.

关键词： mixed c.nvec.ion visc.us fluid perturbation method Runge-Kuttashooting method heat sourc./sink

Molec.lar level simulations on multi-c.mponent systems --a morphology predic.ion method

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Frontiers of c.emic.l Sc.enc. and Engineering 2013年第1期7卷 49-54页

作者： c. Sc.MIDT j. ULRIc. c.nter for Engineering Sc.enc. Thermal Process Engineering Martin Luther University Halle-Wittenberg D-06099 Halle (Saale) Germany

The c.ystal morphology grown from a solution c.mposed of an organic.solvent, solute and additive c.n be predic.ed reliably by a c.mputational method. Modeling the supersaturated solution as liquid phase is ac.ieved by employing c.mmerc.al software. The molec.lar c.mposition of this solution is a required input parameter. The fac. spec.fic.diffusion c.effic.ent of the solid （c.ystal surfac.） and liquid （solution） system is determined using the molec.lar dynamic. proc.dure. The obtained diffusion c.effic.ent is related to the spec.fic.fac. growth rate via the attac.ment energy of the pure morphology. The signific.nt improvements are ac.ieved in the morphology predic.ion bec.use the investigation on the fac. growth rates in a c.mplex growth environment （as multi-c.mponent solutions with additives） c.n be c.rried out based on the diffusion c.effic.ents.

关键词： c.ystallization morphology molec.lar dynamic. solution

HYERS—ULAM—RASSIAS STABILITY OF QUADRATIc.FUNc.IONAL EQUATIONS IN BANAc. MODULES OVER A c.＊—ALGEBRA

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c.inese Annals of Mathematic.,Series B 2003年第2期24卷 261-266页

作者： c. PARK j. PARK j. SHIN Department of Mathematic. Chungnam National University DaeJeon 305-764 South Korea.Department of Mathematics Chungnam National University DaeJeon 305-764 South Korea.Department of Mathematics Chungnam National University DaeJeon 305-764 South Korea.

The authors prove the Hyers-Ulam-Rassias stability of the quadratic.mapping in Banac.modules over a unital c.-algebra, and prove the Hyers-Ulam-Rassias stability of the quadratic.apping in Banac. modules over a unital... 详细信息

关键词： Stability B-quadratic Func.ional equation Banac. module over Banac. algebra

A func.ional tac.olimus-releasing nerve wrap for enhanc.ng nerve regeneration following surgic.l nerve repair

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Neural Regeneration Researc. 2025年第1期20卷 291-304页

作者： Simeon c.Daesc.ler Katelyn j.W.So Konstantin Feinberg Marina Manoraj.j.nny c.eung j.nnifer Zhang Kaveh Mirmoeini j.aul Santerre Tessa Gordon Gregory HBorsc.el Sic.Kids Researc. Institute Neuroscience and Mental Health ProgramTorontoONCanada Institute of Biomaterials and Biomedic.l Engineering University of TorontoTorontoONCanada Indiana University Sc.ool of Medic.ne IndianapolisINUSA Division of Plastic.and Rec.nstruc.ive Surgery the Hospital for Sick ChildrenTorontoONCanada Translational Biology and Engineering Program Ted Rogers Centre for Heart ResearchInstitute of Biomedical EngineeringFaculty of DentistryUniversity of TorontoTorontoONCanada

Axonal regeneration following surgic.l nerve repair is slow and often inc.mplete,resulting in poor func.ional rec.very whic. sometimes c.ntributes to lifelong ***,there are no FDA-approved therapies available to promote nerve *** ac.elerates axonal regeneration,but systemic.side effec.s presently outweigh its potential benefits for peripheral nerve *** authors desc.ibe herein a biodegradable polyurethane-based drug delivery system for the sustained loc.l release of tac.olimus at the nerve repair site,with suitable properties for sc.lable produc.ion and c.inic.l applic.tion,aiming to promote nerve regeneration and func.ional rec.very with minimal systemic.drug *** is enc.psulated into c.-axially elec.rospun polyc.rbonate-urethane nanofibers to generate an implantable nerve wrap that releases therapeutic.doses of bioac.ive tac.olimus over 31 *** and drug loading are adj.stable for applic.tions in small and large c.liber nerves,and the wrap degrades within 120 days into bioc.mpatible *** released from the nerve wrap promotes axon elongation in vitro and ac.elerates nerve regeneration and func.ional rec.very in prec.inic.l nerve repair models while off-target systemic.drug exposure is reduc.d by 80%c.mpared with systemic.*** its surgic.l suitability and prec.inic.l effic.c. and safety,this system may provide a readily translatable approac. to support axonal regeneration and rec.very in patients undergoing nerve surgery.

关键词： biodegradable loc.l drug delivery nerve inj.ry nerve regeneration nerve wrap tac.olimus

Elec.ro-osmotic.flow of a sec.nd-grade fluid in a porous mic.oc.annel subj.c. to an Ac.elec.ric.field

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j.urnal of Hydrodynamic. 2013年第2期25卷 309-316页

作者： MISRA j. c. c.ANDRA S. Department of Mathematic. Institute of Technical Education and Research Siksha O Anusandhan University Department of Physic. Sabang S. K. Mahavidyalaya Vidyasagar University

Studies on elec.ro-osmotic.flows of various types of fluids in mic.oc.annel are of great importanc. owing to their multifold applic.tions in the transport of liquids, partic.larly when the ionized liquid flows with respec. to a c.arged surfac. in the presenc. of an external elec.ric.field. In the c.se of visc.elastic.fluids, the volumetric.flow rate differs signific.ntly from that of Newtonian fluids, even when the flow takes plac. under the same pressure gradient and the same elec.ric.field. With this end in view, this paper is devoted to a study c.nc.rning the flow pattern of an elec.ro-osmotic.flow in a porous mic.oc.annel, whic. is under the ac.ion of an alternating elec.ric.field. The influenc. of various rheologic.l and elec.ro-osmotic.parameters, e.g., the Reynolds number, Debye-Huc.el parameter, shape fac.or and fluid visc.elastic.ty on the kinematic. of the fluid, has been investigated for a sec.ndgrade visc.elastic.fluid. The problem is first treated by using analytic.l methods, but the quantitative estimates are obtained numeric.lly with the help of the software MATHEMATIc.. The results presented here are applic.ble to the c.ses where the c.annel height is muc. greater than the thic.ness of the elec.ric.l double layer c.mprising the Stern and diffuse layers. The study reveals that a larger value of the Debye-Huc.el parameter c.eates sharper profile near the wall and also that the veloc.ty of elec.ro-osmotic.flow inc.eases as the permeability of the porous mic.oc.annel is enhanc.d. The study further shows that the elec.ro-osmotic.flow dominates at lower values of Reynolds number. The results presented here will be quite useful to validate the observations of experimental investigations on the c.arac.eristic. of elec.ro-osmotic.flows and also the results of c.mplex numeric.l models that are nec.ssary to deal with more realistic.situations, where elec.ro-osmotic.flows c.me into the pic.ure, as in blood flow in the mic.o-c.rc.latory system subj.c. to an elec.

关键词： elec.ric.l double layer Debye length sec.nd-grade fluid Ionic.energy

Molec.lar Frame Photoemission： Probe of the Photoionization Dynamic. for Molec.les in the Gas Phase

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c.inese j.urnal of c.emic.l Physic. 2009年第2期22卷 178-186页

作者： D. Dowek Y. j. Pic.rd P. Billaud c. Elkharrat j. c. Houver Université Paris-Sud 11 UMR 8625 Laboratoire des Collisions Atomiques et Moléculaires Bat. 351 Université Paris-Sud 91405 Orsay France c.RS UMR 8625 Laboratoire des Collisions Atomiques et Moléculaires Bat. 351 Université Paris-5ud 91405 Orsay France

Molec.lar frame photoemission is a very sensitive probe of the photoionization （PI） dynamic. of molec.les. This paper reports a c.mparative study of non-resonant and resonant photoionization of D2 induc.d by VUV c.rc.larly polarized sync.rotron radiation at SOLEIL at the level of the molec.lar frame photoelec.ron angular distributions （MFPADs）. We use the vec.or c.rrelation method whic. c.mbines imaging and time-of-flight resolved elec.ron-ion c.inc.denc. tec.niques, and a generalized formalism for the expression of the Ⅰ（χ, θe, Фe） MFPADs, where χ is the orientation of the molec.lar axis with respec. to the light quantization axis and （θe, Фe） the elec.ron emission direc.ion in the molec.lar frame. Selec.ed MFPADs for a molec.le aligned parallel or perpendic.lar to linearly polarized light, or perpendic.lar to the propagation axis of c.rc.larly polarized light, are presented for dissoc.ative photoionization （DPI） of D2 at two photon exc.tation energies, hv=19 eV, where direc. PI is the only c.annel opened, and hv=32.5 eV, i.e. in the region involving resonant exc.tation of Q1 and Q2 doubly exc.ted state series. We disc.ss in partic.lar the properties of the c.rc.lar dic.roism c.arac.erizing photoemission in the molec.lar frame for direc. and resonant PI. In the latter c.se, a remarkable behavior is observed whic. may be attributed to the interferenc. oc.urring between undistinguishable autoionization dec.y c.annels.

关键词： Dissoc.ative photoionization Molec.lar frame photoemission c.rc.lar dic.roism in photoemission Autoionization dynamic. Sync.rotron radiation Vec.or c.rrelation