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Fluid flow driven along microchannel by its upper stretching wall with electrokinetic effects

Applied Mathematics and Mechanics(English Edition) 2018年第3期39卷 395-408页

作者： Hang XU I.POP Q.SUN Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration State Key Lab of Ocean EngineeringSchool of Naval ArchitectureOcean and Civil EngineeringShanghai Jiao Tong University Department of Mathematics Babe§-Bolyai University Particulate Fluids Processing Centre Department of Chemical EngineeringThe University of Melbourne

We develop a mathematical model to describe the flow in a microchannel driven by the upper stretching wall of the channel in the presence of electrokinetic effects. In this model, we avoid imposing any unphysical boundary condition, for instance, the zero electrostatic potential in the middle of the channel. Using the similarity transformation, we employ the homotopy analysis method （HAM） to get the analytical solution of the model. In our approach, the unknown pressure constant and the integral constant related to the electric potential are solved spontaneously by using the proper boundary conditions on the channel walls, which makes our model consistent with the commonly accepted models in the field of fluid mechanics. It is expected that our model can offer a general and proper way to study the flow phenomena in microchannels.

关键词： microchannel electrokinetic effect stretching wall electro-viscous flowmodel

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MHD non-Newtonian micropolar fluid flow and heat transfer in channel with stretching walls

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Applied Mathematics and Mechanics(English Edition) 2013年第10期34卷 1263-1276页

作者： M. ASHRAF N. JAMEEL K. ALI Centre for Advanced Studies in Pure and Applied Mathematics Bahauddin Zakariya UniversityMultan 60800 Pakistan Centre for Advanced Studies in Pure and Applied Mathematics Bahauddin Zakariya UniversityMultan 60800 Pakista

A study is presented for magnetohydrodynamics （MHD） flow and heat transfer characteristics of a viscous incompressible electrically conducting micropolar fluid in a channel with stretching walls. The micropolar model introduced by Eringen is used to describe the working fluid. The transformed self similar ordinary differential equations together with the associated boundary conditions are solved numerically by an algorithm based on quasi-linearization and multilevel discretization. The effects of some physical parameters on the flow and heat transfer are discussed and presented through tables and graphs. The present investigations may be beneficial in the flow and thermal control of polymeric processing.

关键词： magnetohydrodynamics (MHD) heat transfer stretching wall couple stress quasi-linearization

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Hybrid nanomaterial flow and heat transport in a stretchable convergent/divergent channel:a Darcy-Forchheimer model

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Applied Mathematics and Mechanics(English Edition) 2020年第5期41卷 699-710页

作者： G.K.RAMESH S.A.SHEHZAD I.TLILI Department of Mathematics K.L.E Society’s J.T.CollegeGadag 582101KarnatakaIndia Department of Mathematics COMSATS University IslamabadSahiwal 57000Pakistan Department for Management of Science and Technology Development Ton Duc Thang UniversityHo Chi Minh City 758307Vietnam Faculty of Applied Sciences Ton Duc Thang UniversityHo Chi Minh City 758307Vietnam

The flow behavior in non-parallel walls is an important factor of any physical model including cavity flow and canals, which is applicable for diverging/converging channel. The present communication explains that the flow of the hybrid nanomaterial subjected to the convergent/divergent channel has non-parallel walls. It is assumed that the hybrid nanomaterial movement is in the porous region. A Darcy-Forchheimer medium of porosity is considered to interpret the porosity features. A useful similarity function is adopted to get the strong ordinary coupled equations. Numerical solutions are achieved through the Runge-Kutta-Fehlberg(RKF) fourth-fifth order method, and they are validated with the existing results. Physical nature of the involving constraints is reported with the help of plots. It is explored that the velocity of divergent channel decreases, and convergent channel enhances for the higher solid volume faction. Further, the presence of inertia coefficient and porosity parameter amplifies the velocity at the wall.

关键词： hybrid nanoliquid channel Darcy-Forchheimer flow stretching wall numerical solution

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Oscillatory blood flow through a capillary in presence of thermal radiation

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International Journal of Biomathematics 2015年第1期8卷 181-199页

作者： A. Sinha G. C. Shit Department of Mathematics Jadavpur University Kolkata West Bengal 700032 India

This paper deals with the theoretical investigation of a fundamental problem of magne- tohydrodynamic （MHD） flow of blood in a capillary in the presence of thermal radiation and chemical reaction. The unsteadiness in the flow and temperature fields is caused by the time-dependence of the stretching velocity and the surface temperature. The fluid is considered to be non-Newtonian, whose flow is governed by the equation of a third-order fluid. The problem is first reduced to solving a system of coupled nonlinear differential equations involving several parameters. Considering blood as an electrically conducting fluid and using the present analysis, an attempt is made to compute some parameters of the blood flow by developing a suitable numerical method and by devising an appropri- ate finite difference scheme. The computational results are presented in graphical form, and thereby some theoretical predictions are made with respect to the hemodynamical flow of the blood in a hyperthermal state under the action of a magnetic field. Com- putational results for the variation in velocity, temperature, concentration, skin-friction coefi^icient, Nusselt number and Sherwood number are presented in graphical/tabular form. Since the study takes care of thermal radiation in blood flow, the results reported here are likely to have an important bearing on the therapeutic procedure of hyperthermia, particularly in understanding blood flow and heat transfer in capillaries.

关键词： Third-order fluid stretching wall thermal radiation oscillatory motion

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