Begell House Inc.
International Journal of Fluid Mechanics Research
FMR
2152-5102
47
2
2020
A FINITE VOLUME SIMULATION OF VISCOELASTIC FLUID FLOW THROUGH AN ANNULUS USING THE EXTENDED POM-POM MODEL
99-119
10.1615/InterJFluidMechRes.2019027635
Mohammad Reza Khorsand
Movaghar
Department of Petroleum Engineering, Amirkabir University of Technology (Tehran
Polytechnic), 424 Hafez Avenue, 1591634311, P.O. Box 15875-4413, Tehran, Iran
viscoelastic fluid
annular flow
numerical simulation
XPP model
finite volume
During the well-drilling operation, it is common practice to circulate non-Newtonian fluids as drilling mud through the annular spaces between the (rock) formation and the drill string. To have an efficient operation, it is crucial to predict the stress and velocity fields in this space precisely. Hence, to simulate the flow pattern of the drilling mud, a numerical study employing a finite volume method is performed for a laminar, steady state, and axial flow of non-Newtonian fluids through an annulus. The rheological behavior of fluid is interpreted by using the viscoelastic single extended pom-pom (XPP) model. To run the simulation, the integration operator is used on a staggered grid to discretize the governing equations in the control volume. In addition, an iterative solution algorithm that decouples the computation of momentum from that of the XPP differential equations is used to solve the discrete equations. In this study, the axial velocity; shear stress; all relevant normal stresses; and stretch, axial, and radial pressure gradients are presented. This study also refers to the influence of all rheological parameters on the solution as well as on the flow behavior. The outcome shows that despite the other differential viscoelastic models, the XPP model can predict the third normal stress tensor for viscoelastic fluid in two-dimensional axial annular flows; this eventuates in the precise prediction of the second normal stress difference, as well as the first normal stress difference. Finally, the results are compared with the analytical solution of the Giesekus viscoelastic model (implemented) in an annulus, which shows good agreement.
EFFECT OF HIGHER ORDER CHEMICAL REACTION ON MAGNETOHYDRODYNAMIC MICROPOLAR FLUID FLOW WITH INTERNAL HEAT SOURCE
121-134
10.1615/InterJFluidMechRes.2019027201
Ram Prakash
Sharma
National Institute of Technology, Jote, Papum Pare District, Arunachal Pradesh-791113, India
S. R.
Mishra
Department of Mathematics, Siksha 'O' Anusandhan Deemed to be University, Khandagiri,
Bhubaneswar-751030, Odisha, India
boundary layer flow
micropolar fluid
MHD
heat source
nth-order chemical
In this paper, two-dimensional steady magnetohydrodynamic (MHD) boundary layer motion of viscous micropolar liquid along a stretching sheet is investigated. Moreover, the impacts of nth-order chemical reaction in addition to that heat generation/absorption are also considered. The governing partial differential equations (PDEs) are changed into a set of coupled non-linear ordinary differential equations (ODEs) and then solved with numerical method applying boundary conditions for different physical parameters. The influences of governing variables are analyzed for velocity, microrotation, temperature, concentration descriptions, shear stress, rate of heat transfer as well as mass transfer are computed and reviewed via graphs and tables.
ELECTROTHERMAL TRANSPORT VIA GOLD NANOPARTICLES AS ANTIMICROBIALS OF BLOOD FLOW THROUGH AN ELECTRO-OSMOSIS ARTERY WITH OVERLAPPING STENOSIS
135-152
10.1615/InterJFluidMechRes.2020026831
Kh. S.
Mekheimer
Mathematical Department, Faculty of Science (Men), Al-Azhar University, Nasr City 11884,
Cairo, Egypt
R. E.
Abo-Elkhair
Mathematical Department, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo,
Egypt
A. M. A.
Moawad
Mathematical Department, Faculty of Science (Men), Al-Azhar University, Nasr City 11884,
Cairo, Egypt
electro-osmotic flow
gold nanoparticles
overlapping stenosis
Jeffrey fluid
endoscope
Blood-intervened nanoparticle conveyance is a new and developing field in the improvement of therapeutics and diagnostics. This empowers balance of resistant framework collaborations, blood freedom profile, communication with target cells, also the iridium-covered gold nanoparticles are utilized as luminescent tests for the optical imaging in blood. Our objective is to consider the electro-thermal transport by means of gold nanoparticles as antimicrobials of blood move through an electro-osmosis overlapping stenotic artery with an endoscope. The governing equations for the two-dimensional flow of a Jeffrey fluid in the presence of gold nanoparticles (GNPs) and an external electric field are modeled. The model is explained under the mild stenosis assumption. The impact of various parameters related the model, such as the electro-osmosis parameter m, the Helmholtz-Smoluchowski velocity parameter UHS, the Brownian diffusion constant Br, and the Grashof number Gr are interpreted by plotting the diagrams of the axial velocity, wall shear stress, resistance impedance to gold nanoparticle flow. The results pointed to that the gold nanoparticles enhance the heat transfer in the fluid flow which is useful for the purpose of thermal therapy in the treatment of cancer cells.
CHEMICAL REACTION AND RADIATION ABSORPTION EFFECTS ON CONVECTIVE FLOWS PAST A POROUS VERTICAL WAVY CHANNEL WITH TRAVELING THERMAL WAVES
153-169
10.1615/InterJFluidMechRes.2020027296
D. Chenna
Kesavaiah
Department of Humanities and Science, K G Reddy College of Engineering and Technology,
Chilkur, Moinabad, TS-501504, India
B
Venkateswarlu
Yeungnam University Gyeongsan, Republic of Korea
magnetohydrodynamic
heat and mass transfer
chemical reaction
radiation absorption
traveling thermal waves
porous medium
The objective of this study is to examine analytically the effects of chemical reaction and heat flux on mixed convection heat and mass transfer in vertical wavelet porous space with traveling thermal waves. Using long wavelength approximation, the governing equations are solved by the perturbation technique for the hydromagnetic case. The closed form solutions for velocity, temperature, and concentration as well as the skin friction, Nusselt number, and Sherwood number are presented. The effects of pertinent parameters on flow and heat transfer characteristics are studied in detail.
HEAT AND MASS TRANSFER ANALYSIS OF A CONVECTIVE WILLIAMSON FLUID FLOW OVER A CYLINDER
171-189
10.1615/InterJFluidMechRes.2020027371
Parasuraman
Loganathan
Department of Mathematics, College of Engineering, Guindy, Anna University, Chennai,
Tamilnadu, India
M.
Dhivya
Mathematics Division, School of Advanced Sciences, Vellore Institute of Technology, Chennai
Campus, Tamilnadu, India
Williamson fluid
vertical cylinder
porous medium
finite difference scheme
heat and mass transfer
A numerical study is designed for a boundary layer flow of a Williamson fluid past a permeable vertical cylinder. A Williamson fluid model and a Crank Nicholson scheme explain the conduct of pseudoplastic fluid flow over a cylinder. Comparison of Newtonian fluid and Williamson fluid are depicted through the stream line and contour plots of velocity, temperature, and concentration. The mechanical properties such as skin friction, rate of heat, and mass transfer are also elucidated graphically. This investigation discloses that the enhancement occurs while elastic force dominates. Also, the flow impediment takes place in the velocity distribution for relegating values of Weissenberg number. The results are compared with previously published results and they are correlated excellently.