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Applied Mathematics and Mechanics(English Edition) 2024年第3期45卷 563-580页

作者： N.HUMNEKAR d.srinivasacharya department of Mathematics National Institute of TechnologyWarangal 506004TelanganaIndia

The influence of variable viscosity and double diffusion on the convective stability of a nanofluid flow in an inclined porous channel is *** darcyBrinkman model is used to characterize the fluid flow dynamics in porous *** analytical solutions are obtained for the unidirectional and completely developed *** on a normal mode analysis,the generalized eigenvalue problem under a perturbed state is *** eigenvalue problem is then solved by the spectral ***,the critical Rayleigh number with the corresponding wavenumber is evaluated at the assigned values of the other flow-governing *** results show that increasing the darcy number,the Lewis number,the dufour parameter,or the Soret parameter increases the stability of the system,whereas increasing the inclination angle of the channel destabilizes the ***,the flow is the most unstable when the channel is vertically oriented.

关键词： nanofluid inclined channel variable viscosity linear stability double dif-fusion porous medium

Natural convection flow of a couple stress fluid between two vertical parallel plates with Hall and ion-slip effects

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Acta Mechanica Sinica 2012年第1期28卷 41-50页

作者： d.srinivasacharya K.Kaladhar department of Mathematics National Institute of Technology

The Hall and ion-slip effects on fully developed electrically conducting couple stress fluid flow between vertical parallel plates in the presence of a temperature dependent heat source are investigated. The governing non-linear partial differential equations are transformed into a system of ordinary differential equations using similarity transformations. The resulting equations are then solved using the homotopy analysis method （HAM）. The effects of the magnetic parameter, Hall parameter, ion-slip parameter and couple stress fluid parameter on velocity and temperature are discussed and shown graphically

关键词： Free convection Couple stress fluid Magneto- hydrodynamics Hall and ion-slip effects - HAM

Steady rotation of a composite sphere in a concentric spherical cavity

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Acta Mechanica Sinica 2012年第3期28卷 653-658页

作者： d.srinivasacharya M.Krishna Prasad department of Mathematics National Institute of Technology

The problem of steady rotation of a composite sphere located at the centre of a spherical container has been investigated. A composite particle referred to in this paper is a spherical solid core covered with a permeable spherical shell. The Brinkman＇s model for the flow inside the compos- ite sphere and the Stokes equation for the flow in the spheri- cal container were used to study the motion. The torque ex- perienced by the porous spherical particle in the presence of cavity is obtained. The wall correction factor is calculated. In the limiting cases, the analytical solution describing the torque for a porous sphere and for a solid sphere in an un- bounded medium are obtained from the present analysis.

关键词： Rotation Porous sphere Solid core Stokesflow Brinkman equation Stress jump coefficient. Torque Wall correction factor

FLOW OF MICROPOLAR FLUId THROUGH CATHETERIZEd ARTERY -- A MATHEMATICAL MOdEL

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International Journal of Biomathematics 2012年第2期5卷 61-72页

作者： d.srinivasacharya d.SRIKANTH department of Mathematics National Institute of Technology Warangal-506004 Andhra PradeshIndia department of Applied Mathematicsdefence Institute of Advanced Technology Pune-~11025 India

In this paper, the flow of blood through catheterized artery with mild constriction at the outer wall is considered. The closed form solutions are obtained for velocity and microrotation components. The impedance （resistance to the flow） and wall shear stress are calculated. The effects of catheterization, coupling number, micropolar parameter, and height of the stenosis on impedance and wall shear stresses are discussed.

关键词： Stenosis catheter micropolar fluid impedance wall shear stress.

Mixed Convection Heat and Mass Transfer in a Micropolar Fluid with Soret and dufour Effects

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Advances in Applied Mathematics and Mechanics 2011年第4期3卷 389-400页

作者： d.srinivasacharya Ch.RamReddy department of Mathematics National Institute of TechnologyWarangal-506004Andhra PradeshIndia

A mathematical model for the steady,mixed convection heat and mass transfer along a semi-infinite vertical plate embedded in a micropolar fluid in the presence of Soret and dufour effects is *** non-linear governing equations and their associated boundary conditions are initially cast into dimensionless forms using local similarity *** resulting system of equations is then solved numerically using the Keller-box *** numerical results are compared and found to be in good agreement with previously published results as special cases of the present *** non-dimensional velocity,microrotation,temperature and concentration profiles are displayed graphically for different values of coupling number,Soret and dufour *** addition,the skin-friction coefficient,the Nusselt number and Sherwood number are shown in a tabular form.

关键词： Mixed convection heat and mass transfer micropolar fluid Soret and dufour effects

Couple stress nanofluid flow through a bifurcated artery—Application of catheterization process

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Applied Mathematics(A Journal of Chinese Universities) 2021年第4期36卷 492-511页

作者： KM Surabhi Arpitha Ravikanti d.Srikanth d.srinivasacharya department of Applied Mathematics Defence Institute of Advanced Technology(Deemed University)Girinagar Pune 411025India department of Mathematics National Institute of TechnologyWarangal 506004India

In this article,we are exploring the hemodynamics of nanofluid,flowing through a bifurcated artery with atherosclerosis in the presence of a *** treating obstruction in the artery,one can use the catheter whose outer surface is carrying the drug coated with *** resultant solvent is considered as blood *** being a complex fluid,is modeled by couple stress *** the presence of nano-particles,the temperature and the concentration distribution are understood in a bifurcated stenotic *** concluded mathematical model is governed by coupled non-linear equations,and are solved by using the homotopy perturbation ***,we have explored is the effects of fluid and the embedded geometric parameters on the hemodynamics *** is also realized that high wall shear stress exists for couple stress nano-fluid when compared to Newtonian *** is computed at a location corresponding to maximum constriction(z=12.5)of the artery.

关键词： couple stress uid bifurcated stenotic artery homotopy perturbation method wall shear stress

Effect of thermal radiation on mixed convection of a nanofluid from an inclined wavy surface embedded in a non-darcy porous medium with wall heat flux

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Propulsion and Power Research 2018年第2期7卷 147-157页

作者： d.srinivasacharya P.Vijay Kumar department of Mathematics National Institute of TechnologyWarangal 506004TelanganaIndia

This article focuses on the effect of radiation on mixed convection in a nanofluid along an inclined wavy surface embedded in a non-darcy porous medium.A coordinate transformation is employed to transform the complex wavy surface to a smooth *** governing equations are transformed into a set of partial differential equations using the nonsimilarity transformation and then a local similarity and non-similarity method is applied to obtain coupled ordinary differential *** resulting equations are linearized using the successive linearization method and then solved by the Chebyshev spectral *** effects of radiation,non-darcy parameter,Brownian motion parameter,thermophoresis parameter,the amplitude of the wavy surface,angle of inclination of the wavy surface on the non-dimensional heat and nanoparticle mass transfer rates are studied and presented graphically.

关键词： Mixed convection Nanofluid Inclined wavy surface Non-darcy porous medium Radiation Heat flux