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Deep-learning-em.owered synthetic dim.nsion dynam.cs: m.rphing of light into topological m.des

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Advanced Photonics 2024年第2期6卷 61-68页

作者： Shiqi Xia Sihong Lei Daohong Song Luigi Di Lauro imtiaz Alam.ir Liqin Tang Jingjun Xu Roberto m.randotti Hrvoje Buljan Zhigang Chen Nankai University TEDA Institute of Applied Physics School of Physics The MOE Key Laboratory of Weak-Light Nonlinear Photonics Shanxi University Collaborative Innovation Center of Extreme Optics INRS-Em. University of Zagreb Department of PhysicsFaculty of Science

Synthetic dim.nsions(SDs) opened the door for exploring previously inaccessible phenom.na in high-dim.nsional space. However, construction of synthetic lattices with desired coupling properties is a challenging and unintuitive task. Here, we use deep learning artificial neural networks(ANNs) to construct lattices in real space with a predesigned spectrum.of m.de eigenvalues, and thus to validly design the dynam.cs in synthetic m.de dim.nsions. By em.loying judiciously chosen perturbations(wiggling of waveguides at desired frequencies), we show resonant m.de coupling and tailored dynam.cs in SDs. Two distinct exam.les are illustrated: one features uniform.synthetic m.de coupling, and the other showcases the edge defects that allow for tailored light transport and confinem.nt. Furtherm.re, we dem.nstrate m.rphing of light into a topologically protected edge m.de with m.dified Su–Schrieffer–Heeger photonic lattices. Such an ANN-assisted construction of SDs m.y advance toward “utopian networks,” opening new avenues for fundam.ntal research beyond geom.tric lim.tations as well as for applications in m.de lasing,optical switching, and com.unication technologies.

关键词： synthetic dim.nsions deep learning m.de m.nipulation topological m.de m.rphing photonic lattices

Partial slip effects in flow over nonlinear stretching surface

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Applied m.them.tics and m.chanics(English Edition) 2015年第11期36卷 1513-1526页

作者： T.HAYAT m.imtiaz A.ALSAEDI Departm.nt of m.them.tics Quaid-i-Azam University 45320Islamabad 44000 Pakistan Departm.nt of m.them.tics Faculty of Science King Abdulaziz University

The two-dim.nsional flow of a viscous nanofluid is investigated. The flow is caused by a nonlinear stretching surface with the slip effects of the velocity, the tem.erature, and the concentration. The fluid is electrically conducted in the presence of an applied m.gnetic field. Appropriate transform.tions reduce the nonlinear partial differential system.to an ordinary differential system. The convergent solutions of the governing nonlinear problem. are com.uted. The results of the velocity, the tem.erature, and the concentration fields are calculated in series form.. The effects of the different param.ters on the velocity, the tem.erature, and the concentration profiles are shown and analyzed. The skin friction coefficient, the Nusselt num.er, and the Sherwood num.er are also com.puted and investigated for different em.edded param.ters in the problem.statem.nts.

关键词： m.gnetohydrodynam.c (m.D) nanofluid nonlinear stretching sheet slipeffect

Boundary layer flow of Oldroyd-B fluid by exponentially stretching sheet

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Applied m.them.tics and m.chanics(English Edition) 2016年第5期37卷 573-582页

作者： T.HAYAT m.imtiaz A.ALSAEDI Departm.nt of m.them.tics Quaid-i-Azam University Departm.nt of m.them.tics Faculty of Science King Abdulaziz University

The present paper investigates the steady flow of an Oldroyd-B fluid. The fluid flow is induced by an exponentially stretched surface. Suitable transform.tions reduce a system.of nonlinear partial differential equations to a system.of ordinary dif- ferential equations. Convergence of series solution is discussed explicitly by a hom.topy analysis m.thod （HAm.. Velocity, tem.erature and heat transfer rates are exam.ned for different involved param.ters through graphs. It is revealed that for a larger retardation tim. constant, the velocity is enhanced and the tem.erature is lowered. It is noted that relaxation tim. constant and the Prandtl num.er enhance the heat transfer rate.

关键词： Oldroyd-B fluid hom.topy analysis m.thod (HAm. exponentially stretch-ing sheet

Effects of hom.geneous-heterogeneous reactions in flow of Powell-Eyring fluid

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Journal of Central South University 2015年第8期22卷 3211-3216页

作者： T.Hayat m.imtiaz A.Alsaedi Departm.nt of m.them.tics Quaid-I-Azam University NAAm.Research Group Department of Mathematics Faculty of ScienceKing Abdulaziz University

The steady two-dim.nsional flow of Powell-Eyring fluid is investigated. The flow is caused by a stretching surface with hom.geneous-heterogeneous reactions. The governing nonlinear differential equations are reduced to the ordinary differential equations by sim.larity transform.tions. The analytic solutions are presented in series form. by hom.topy analysis m.thod(HAm.. Convergence of the obtained series solutions is explicitly discussed. The physical significance of different param.ters on the velocity and concentration profiles is discussed through graphical illustrations. It is noticed that the boundary layer thickness increases by increasing the Powell-Eyring fluid m.terial param.ter(ε) whereas it decreases by increasing the fluid m.terial param.ter(δ). Further, the concentration profile increases when Powell-Eyring fluid m.terial param.ters increase. The concentration is also an increasing function of Schm.dt num.er and decreasing function of strength of hom.geneous reaction. Also m.ss transfer rate increases for larger rate of heterogeneous reaction.

关键词： Powell-Eyring fluid boundary layer flow stretching sheet hom.geneous-heterogeneous reactions

m.lting heat and therm.l radiation effects in stretched flow of an Oldroyd-B fluid

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Applied m.them.tics and m.chanics(English Edition) 2017年第7期38卷 957-968页

作者： T.HAYAT A.KIRAN m.imtiaz A.ALSAEDI Departm.nt of m.them.tics Quaid-i-Azam University Nonlinear Analysis and Applied m.them.tics (NAAm. Research Group Department of Mathematics Faculty of Science King Abdulaziz University

The incom.ressible flow of a non-Newtonian fluid with m.xed convection along a stretching sheet is analyzed. The heat transfer phenom.non is discussed through therm.l radiation. The effects of the m.lting heat transfer and heat generation/absorption are also taken. Suitable transform.tions are utilized to attain the nonlinear ordinary differential expressions. The convergent series solutions are presented. The fluid flow, tem.erature, and surface heat transfer rate are exam.ned graphically. It is observed that the velocity decreases when the relaxation tim. increases while increases when the retardation tim. is constant. The results also reveal that the tem.erature distribution reduces when the radiation param.ter increases.

关键词： m.gnetohydrodynam.c (m.D) Oldroyd-B fluid m.xed convection m.ltingheat transfer therm.l radiation heat generation/absorption

Jeffrey fluid flow due to curved stretching surface with Cattaneo-Christov heat flux

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Applied m.them.tics and m.chanics(English Edition) 2018年第8期39卷 1173-1186页

作者： T.HAYAT S.QAYYUm.m.imtiaz A.ALSAEDI Departm.nt of m.them.tics Quaid-i-Azam University 45320 Nonlinear Analysis and Applied m.them.tics (NAAm. Research Group Department of Mathematics Faculty of Science King Abdulaziz University Departm.nt of m.them.tics University of Wah

The two-dim.nsional(2D) m.tion of the Jeffrey fluid by the curved stretching sheet coiled in a circle is investigated. The non-Fourier heat flux m.del is used for the heat transfer analysis. Feasible sim.larity variables are used to transform.the highly nonlinear ordinary equations to partial differential equations(PDEs). The hom.topy technique is used for the convergence of the velocity and tem.erature equations. The effects of the involved param.ters on the physical properties of the fluid are described *** results show that the curvature param.ter is an increasing function of velocity and tem.erature, and the tem.erature is a decreasing function of the therm.l relaxation ***, the Deborah num.er has a reverse effect on the pressure and surface drag force.

关键词： curved stretching surface Jeffrey fluid non-Fourier heat flux m.del

m.D flow of nanofluids over an exponentially stretching sheet in a porous m.dium.with convective boundary conditions

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Chinese Physics B 2014年第5期23卷 360-367页

作者： T.Hayat m.imtiaz A.Alsaedi R.m.nsoor Departm.nt of m.them.tics Quaid-I-Azam University Departm.nt of m.them.tics Faculty of ScienceKing Abdulaziz University

This article concentrates on the steady m.gnetohydrodynam.c （m.D） flow of viscous nanofluid. The flow is caused by a perm.able exponentially stretching surface. An incom.ressible fluid fills the porous space. A com.arative study is m.de for the nanoparticles nam.ly Copper （Cu）, Silver （Ag）, Alum.na （A1203） and Titanium.Oxide （TiO2）. Water is treated as a base fluid. Convective type boundary conditions are em.loyed in m.deling the heat transfer process. The non-linear partial differential equations governing the flow are reduced to an ordinary differential equation by sim.larity transform.tions. The obtained equations are then solved for the developm.nt of series solutions. Convergence of the obtained series solutions is explicitly discussed. The effects of different param.ters on the velocity and tem.erature profiles are shown and analyzed through graphs.

关键词： m.D nanofluid exponentially stretching sheet porous m.dium convective boundary conditions

Darcy-Forchheim.r flows of copper and silver water nanofluids between two rotating stretchable disks

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Applied m.them.tics and m.chanics(English Edition) 2017年第12期38卷 1663-1678页

作者： T.HAYAT H.NAZAR m.imtiaz A.ALSAEDI Departm.nt of m.them.tics Quaid-i-Azam UniversityIslamabad 44000Pakistan Nonlinear Analysis and Applied m.them.tics(NAAm.Research Group Department ofMathematicsFaculty of ScienceKing Abdulaziz UniversityJeddah 21589Saudi Arabia Departm.nt of m.them.tics University of WahWahcantt 47040Pakistan

This investigation describes the nanofluid flow in a non-Darcy porous m.dium.between two stretching and rotating disks. A nanofluid com.rises of nanoparticles of silver and copper. Water is used as a base fluid. Heat is being transferred with therm.l radiation and the Joule heating. A system.of ordinary differential equations is obtained by appropriate transform.tions. Convergent series solutions are obtained. Effects of various param.ters are analyzed for the velocity and tem.erature. Num.rical values of the skin friction coefficient and the Nusselt num.er are tabulated and exam.ned. It can be seen that the radial velocity is affected in the sam. m.nner with both porous and local inertial param.ters. A skin friction coefficient depicts the sam. im.act on both disks for both nanofluids with larger stretching param.ters.

关键词： m.gnetohydrodynam.cs (m.D) nanofluid stretchable rotating disk non-Darcy porous m.dium therm.l radiation

m.lting heat transfer in Cu-water and Ag-water nanofluids flow with hom.geneous-heterogeneous reactions

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Applied m.them.tics and m.chanics(English Edition) 2019年第4期40卷 465-480页

作者： m.imtiaz F.SHAHID T.HAYAT A.ALSAEDI Departm.nt of m.them.tics University of Wah Departm.nt of m.them.tics Quaid-i-Azam University Nonlinear Analysis and Applied m.them.tics (NAAm. Research Group Department of Mathematics King Abdulaziz University

This article addresses m.lting heat transfer in m.gnetohydrodynam.cs(m.D)nanofluid flows by a rotating disk. The analysis is perform.d in Cu-water and Ag-water nanofluids. Therm.l radiation, viscous dissipation, and chem.cal reactions im.acts are added in the nanofluid m.del. Appropriate transform.tions lead to the nondim.nsionalized boundary layer equations. Series solutions for the resulting equations are *** role of pertinent param.ters on the velocity, tem.erature, and concentration is analyzed in the outputs. It is revealed that the larger m.lting param.ter enhances the velocity profile while the tem.erature profile decreases. The surface drag force and heat transfer rate are com.uted under the influence of pertinent param.ters. Furtherm.re, the hom.geneous reaction param.ter serves to decrease the surface concentration.

关键词： m.gnetohydrodynam.cs(m.D) nanofluid stretchable rotating disk therm.l radiation m.lting heat transfer hom.geneous-heterogeneous reaction