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Thermal radiation effect on unsteady threedimensional MHD flow of micropolar fluid over a horizontal surface of a parabola of revolution

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Propulsion and Power Research 2022年第1期11卷 129-142页

作者： S.R.R.Reddy P.Bala Anki Reddy Center for Nonlinear Systems Chennai Institute of TechnologyChennai600069T.N.India Department of Mathematics S.A.S.Vellore Institute of TechnologyVellore632014T.N.India

This paper explores the time-dependent magnetohydrodynamics(MHD)micropolar fluid flow over a three-dimensional variable stretching surface in the occurrence of radiation *** model time-dependent partial differential equations(PDE’s)in three independent variables are transformed into ordinary differential equations(ODE’s)by the suitable selfsimilarity *** perturbation method(HPM)and Runge-Kutta(RK)4^(th) order method along with shooting technique are used in the present *** also,HPM results are compared with Runge-Kutta(RK)4^(th) order method along with the shooting *** velocity,micro rotation in x and y directions,temperature,skin friction factor and heat transfer rates are examined for the emerging *** velocity profiles and momentum boundary layer thickness intensification with increasing values of the vortex viscosity *** higher value of a magnetic parameter declines the skin friction *** type of investigation may be profitable to the polymer fluids,exotic lubricants,electronic chips,artificial fibers,drawing of copper wires,etc.

关键词： Radiation parameter Magnetohydrodynamics micropolar fluid Variable thickness sheet Homotopy perturbation method(HPM)

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

The Effects of Thermal Radiation and Viscous Dissipation on the Stagnation Point Flow of a micropolar fluid over a Permeable Stretching Sheet in the Presence of Porous Dissipation

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fluid Dynamics & Materials Processing 2023年第1期19卷 61-81页

作者： Muhammad Salman Kausar H.A.M.Al-Sharifi Abid Hussanan Mustafa Mamat Faculty of Informatics and Computing University Sultan Zainal Abidin(Kampus Gong Badak)Kuala TerengganuTerengganuMalaysia Department of Mathematics College of Education for Pure SciencesUniversity of KerbalaKerbalaIraq Department of Mathematics Division of Science and TechnologyUniversity of EducationLahorePakistan

In this paper,the effects of thermal radiation and viscous dissipation on the stagnation–point flow of a micropolar fluid over a permeable stretching sheet with suction and injection are analyzed and discussed.A suitable similarity transformation is used to convert the governing nonlinear partial differential equations into a system of nonlinear ordinary differential equations,which are then solved numerically by a fourth–order Runge–Kutta *** is found that the linear fluid velocity decreases with the enhancement of the porosity,boundary,and suction ***,it increases with the micropolar and injection *** angular velocity grows with the boundary,porosity,and suction parameters,whereas it is reduced if the micropolar and injection parameters become *** is concluded that the thermal boundary layer extension increases with the injection parameter and decreases with the suction parameter.

关键词： micropolar fluid viscous dissipation stagnation point stretching sheet porous media thermal radiation

The micropolar fluid model for blood flow through a tapered artery with a stenosis

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Acta Mechanica Sinica 2008年第6期24卷 637-644页

作者： Kh.S.Mekheimer M.A.El Kot Department of Mathematics Faculty of ScienceAl-Azhar UniversityNasr CityCairo 11884Egypt Department of Mathematics Faculty of EducationSuez Canal UniversitySuezEgypt

A micropolar model for axisymmetric blood flow through an axially nonsymmetreic but radially symmetric mild stenosis tapered artery is presented. To estimate the effect of the stenosis shape, a suitable geometry has been considered such that the axial shape of the stenosis can be changed easily just by varying a parameter （referred to as the shape parameter）. The model is also used to study the effect of the taper angle Ф. Flow parameters such as the velocity, the resistance to flow （the resistance impedance）, the wall shear stress distribution in the stenotic region and its magnitude at the maximum height of the stenosis （stenosis throat） have been computed for different values of the shape parameter n, the taper angle Ф, the coupling number N and the micropolar parameter m. It is shown that the resistance to flow decreases with increasing the shape parameter n and the micropolar parameter m while it increases with increasing the coupling number N. So, the magnitude of the resistance impedance is higher for a micropolar fluid than that for a Newtonian fluid model. Finally, the velocity profile, the wall shear stress distribution in the stenotic region and its magnitude at the maximum height of the stenosis are discussed for different values of the parameters involved on the problem.

关键词： micropolar fluid Blood flow Tapered artery

Mathematical model of micropolar fluid in two-phase immiscible fluid flow through porous channel

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Applied Mathematics and Mechanics(English Edition) 2018年第7期39卷 993-1006页

作者： P.K.YADAV S.JAISWAL B.D.SHARMA Department of Mathematics Motilal Nehru National Institute of Technology Allahabad

This paper is concerned with the flow of two immiscible fluids through a porous horizontal channel. The fluid in the upper region is the micropolar fluid/the Eringen fluid, and the fluid in the lower region is the Newtonian viscous fluid. The flow is driven by a constant pressure gradient. The presence of micropolar fluids introduces additional rotational parameters. Also, the porous material considered in both regions has two different permeabilities. A direct method is used to obtain the analytical solu- tion of the concerned problem. In the present problem, the effects of the couple stress, the micropolarity parameter, the viscosity ratio, and the permeability on the velocity profile and the microrotational velocity are discussed. It is found that all the physical parameters play an important role in controlling the translational velocity profile and the microrotational velocity. In addition, numerical values of the different flow parameters are computed. The effects of the different flow parameters on the flow rate and the wall shear stress are also discussed graphically.

关键词： micropolar fluid immiscible fluid porous medium couple stress microp=olarity parameter

Flow of a micropolar fluid in a micro-channel under the action of an alternating electric field: Estimates of flow in bio-fluidic devices

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Journal of Hydrodynamics 2015年第3期27卷 350-358页

作者： MISRA J.C. CHANDRA S. HERWIG H. Centre for Healthcare Science and Technology Indian Institute of Engineering Science and Technology Department of Physics Sabang S. K. Mahavidyalaya Vidyasagar University Institute of Thermo-fluid Dynamics Technische Universitat Hamburg-Harburg

The paper is devoted to a study of the electro-osmotic flow of a micropolar bio-fluid, when the flow takes place between two plates that are in a state of periodic vibrations. Considering blood as a micropolar fluid, it is found that the amplitude of oscillation of the microparticles of blood increases when the micropolar effect is pronounced more and more and that a rise in DebyeHtickel parameter enhances both the velocity and microrotation gradient. The results provide guidelines for the improvement of design of bio-sensing and micro-fluidic devices. The study leads to the conclusion that electrical double layers formed in the vicinity of the wall can significantly alter the flow dynamics of physiological fluids in micro-bio-fluidic devices.

关键词： microrotation Electro-osmotic flow Debye-Hiickel parameter micropolar fluid

Axisymmetric magnetohydrodynamic flow of micropolar fluid between unsteady stretching surfaces

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Applied Mathematics and Mechanics(English Edition) 2011年第3期32卷 361-374页

作者： T. HAYAT M. NAWAZ S. OBAIDAT Department of Mathematics Quaid-I-Azam University 45320Islamabad 44000Pakistan Department of Mathematics King Saud UniversityP. O. Box 2455Riyadh 11451Saudi Arabia

This investigation examines the time dependent magnetohydrodynamic （MHD） flow problem of a micropolar fluid between two radially stretching sheets. Both strong and weak concentrations of microelements are taken into account. Suitable transformations are employed for the conversion of partial differential equations into ordinary differential equations. Solutions to the resulting problems are developed with a homotopy analysis method （HAM）. The angular velocity, skin friction coefficient, and wall couple stress coefficient are illustrated for various parameters.

关键词： micropolar fluid radial stretching homotopy analysis solution skin friction coefficient wall couple stress coefficient magnetohydrodynamic

Debye-Hckel solution for steady electro-osmotic flow of micropolar fluid in cylindrical microcapillary

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Applied Mathematics and Mechanics(English Edition) 2013年第11期34卷 1305-1326页

作者： A. A. SIDDIQUI A. LAKHTAKIA Department of Basic Sciences Bahauddin Zakariya University Nanoengineered Metamaterials Group Department of Engineering Science and MechanicsPennsylvania State University University Park

Analytic expressions for speed, flux, microrotation, stress, and couple stress in a micropolar fluid exhibiting a steady, symmetric, and one-dimensional electro-osmotic flow in a uniform cylindrical microcapillary were derived under the constraint of the Debye-Hiickel approximation, which is applicable when the cross-sectional radius of the microcapillary exceeds the Debye length, provided that the zeta potential is sufficiently small in magnitude. Since the aciculate particles in a micropolar fluid can rotate without translation, micropolarity affects the fluid speed, fluid flux, and one of the two non-zero components of the stress tensor. The axial speed in a micropolar fluid intensifies when the radius increases. The stress tensor is confined to the region near the wall of the mi- crocapillary, while the couple stress tensor is uniform across the cross-section.

关键词： couple stress electro-osmosis microcapillary micropolar fluid microrota-tion steady flow

Thermal radiation effect on flow and heat transfer of unsteady MHD micropolar fluid over vertical heated nonisothermal stretching surface using group analysis

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Applied Mathematics and Mechanics(English Edition) 2013年第6期34卷 703-720页

作者： I. A. HASSANIEN H. M. EL-HAWARY M. A. A. MAHMOUD R. G. ABDEL-RAHMAN A. S. ELFESHAWEY Department of Mathematics Faculty of Science Assuit University Department of Mathematics Faculty of Science Benha University

The aim of this paper is to study the thermal radiation effects on the flow and heat transfer of an unsteady magnetohydrodynamic （MHD） micropolar fluid over a vertical heated nonisothermal stretching surface in the presence of a strong nonuniform magnetic field. The symmetries of the governing partial differential equations are de- termined by the two-parameter group method. One of the resulting systems of reduced nonlinear ordinary differential equations are solved numerically by the Chebyshev spec- tral method. The effects of various parameters on the velocity, the angular velocity, and the temperature profiles as well as the skin-friction coefficient, the wall couple stress co- efficient, and the Nusselt number are studied.

关键词： thermal radiation micropolar fluid unsteady flow group theoretic method,Chebyshev spectral method