Begell House Inc.
International Journal of Fluid Mechanics Research
FMR
2152-5102
44
3
2017
CONVECTION FLOW AND HEAT TRANSFER IN A SQUARE CAVITY WITH NON-NEWTONIAN CROSS NANOFLUID
185-194
10.1615/InterJFluidMechRes.2017017803
Jinhu
Zhao
School of Mathematics and Statistics, Fuyang Normal University, Anhui, China
Liancun
Zheng
School of Mathematics and Physics, University of Science and Technology Beĳing, Beĳing 100083,
China
Xinxin
Zhang
School of Energy and Environmental Engineering, University of Science and Technology Beijing, Beijing 100083, China; Beijing Key Laboratory of Energy Saving and Emission Reduction for Metallurgical Industry, University of Science and Technology Beijing, Beijing 100083, China
forced convection
non-Newtonian nanofluid
cross model
square cavity
This study investigates forced convection flow and heat transfer of non-Newtonian nanofluid in a square cavity. The
Cross model is introduced to characterize the viscosity of the base fluid combined with nanoparticle volume fraction.
The coupled equations are solved numerically by the finite volume-method. The effects of different nanoparticle volume
fraction and power law index are discussed in detail on flow and temperature fields. Results indicate that viscosity
rises with the increase of nanoparticle volume fraction. Pressure drop declines as the power law index increases, but
rises with the augment of nanoparticle volume fraction. Moreover, the total Nusselt number first increases and then
declines with the augment of power law index, but decreases with the augment of nanoparticle volume fraction.
EFFECT OF ADDITIVES ON THE RHEOLOGICAL PROPERTIES OF DRILLING FLUID SUSPENSION FORMULATED BY BENTONITE WITH WATER
195-214
10.1615/InterJFluidMechRes.2017015328
Satish Kumar
Dewangan
NIT Raipur (CG) - INDIA
Shobha Lata
Sinha
Mechanical Engineering Department, National Institute of Technology–Raipur (CG), India
492010
marsh funnel
drilling fluid rheology
low solid mud
drilling fluid additives
babool gum
There is a continuous need to search for good additives which can contribute to the favorable rheology of drilling fluids. In the present investigation, the effect of an indigenous gum called babool tree gum has been explored with regard to the rheological properties of the water–bentonite suspension, which is the base suspension for most of the water-based drilling fluids. Its effect has been compared with the additions of bentonite, carboxymethyl cellulose (CMC), and barite. Various samples were prepared by addition of the CMC, babool tree gum, and barite in the water–bentonite suspensions (of varying amounts of the bentonite). The study has been conducted experimentally using the locally manufactured Marsh funnel of standard dimensions. Various plots of the drainage time versus volume flow rate, consistency curves, apparent viscosity, and the bar chart of the rheological properties have been presented to display the results. Sample combinations have been taken in such a manner that the effect of the various additives can be observed. From this investigation, it can be concluded that the babool tree gum, which is abundantly available in India and is also quite inexpensive, can be placed as a good alternative along with coadditives with the CMC and other additives of the drilling fluid to enhance its rheological properties.
VORTEX FLOW WITH A FREE SURFACE: COMPARISON OF ANALYTICAL SOLUTIONS WITH EXPERIMENTALLY OBSERVED LIQUID PARTICLE TRAJECTORIES
215-227
10.1615/InterJFluidMechRes.2017019149
A.V.
Kistovich
Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo, 101-1,
Moscow, Russia
Tatiana
Chaplina
Ishlinsky Institute for problems in mechanics of the Russian academy of sciences
E. V.
Stepanova
Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo, 101-1,
Moscow, Russia
vortex
surface trough
rotating disk
analytical solution
The presented analytical study of the flow with the free surface, generated in vertical cylindrical container by a rotating flat disk in the container's bottom wall, aims to find the relations for the form of the liquid free surface and the form of trajectories of the liquid particles and also to evaluate the results by comparison with the experimentally registered flow patterns. Part of the presented work includes the experimental study of the vortex flow with a free surface and visualization of the flow pattern with use of different techniques.
MICROPOLAR FLUID FLOW THROUGH A CYLINDER AND A SPHERE EMBEDDED IN A POROUS MEDIUM
229-240
10.1615/InterJFluidMechRes.2017015283
Madasu Krishna
Prasad
Department of Mathematics, National Institute of Technology, Raipur, Chhattisgarh, India
Darbhasayanam
Srinivasacharya
Department of Mathematics, National Institute of Technology,Warangal, Telangana, 506004,
India
cylinder
sphere
Brinkman equation
saturated porous medium
drag
The problem of micropolar fluid past an impermeable cylinder and a sphere embedded in a fluid-saturated porous
medium is studied separately using the Brinkman's model, assuming a uniform flow far away from the sphere. Boundary conditions used on the surface of the body are no slip and no spin of microrotation. The stream function (the velocity) and microrotation components are presented in terms of modified Bessel functions and Gegenbauer's functions.
The drag experienced by the particle is obtained. The variation of drag with respect to permeability and the micropolar parameter are studied numerically. The special cases of flow through a cylinder and a sphere in the Newtonian fluid case is obtained from the present analysis.
THERMODIFFUSION AND DIFFUSION − THERMO EFFECTS ON MHD HEAT AND MASS TRANSFER OF MICROPOLAR FLUID OVER A STRETCHING SHEET
241-256
10.1615/InterJFluidMechRes.2017019190
Patakota Sudarsana
Reddy
Department of Mathmetatics, Rajeev Gandhi Memorial College of Engineering & Technology,
Nandyal, A.P., India
P.
Sreedevi
Department of Mathematics, Rajeev Gandi Memorial College of Engineering and Technology,
Nandyal-518501, AP, India
Ali J.
Chamkha
Mechanical Engineering Department, Prince Sultan Endowment for Energy and
Environment, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Saudi Arabia; RAK Research and Innovation Center, American University of Ras Al Khaimah, P.O. Box
10021, Ras Al Khaimah, United Arab Emirates
MHD
micropolar fluid
Soret effect
Dufour effect
finite-element method
The influence of Soret and Dufour effects on unsteady magnetohydrodynamic (MHD) boundary layer flow, and heat
and mass transfer analysis over a stretching sheet embedded in porous media filled with viscous micropolar fluid is
numerically investigated. Suitable similarity variables are introduced to transform the governing conservation equations
into the set of ordinary differential equations and are solved numerically by using the finite-element method.
The influences of key nondimensional parameters, namely, the suction parameter V0(0.1−1.5), magnetic parameter M(0.1−1.5), unsteadiness parameter τ(0.1−1.0) Eckert number Ec(0.1−2.2) Soret parameter Sr(0.1−2.0), Dufour
parameter Du(0.1−1.0) and microrotation parameter A1(0.1−1.0) on velocity, microrotation, temperature, and concentration profiles are portrayed graphically. Furthermore, the skin-friction coefficient, couple stress coefficient, and rates of heat and mass transfer for various values of the governing parameters are calculated, with the results summarized in tabular form. It is found that the velocity, angular velocity, temperature, and concentration distributions of the fluid deteriorate with rising values of the suction parameter (V0 > 0).
EFFECT OF ANISOTROPIC SLIP AND MAGNETIC FIELD ON THE FLOW AND HEAT TRANSFER OF EYRING-POWELL FLUID OVER AN INFINITE ROTATING DISK
257-273
10.1615/InterJFluidMechRes.2017015434
Najeeb Alam
Khan
Department of Mathematics, University of Karachi, Karachi 75270, Pakistan
Ayesha
Sohail
Department of Mathematics, COMSATS Institute of Information Technology, Lahore 54000,
Pakistan
Faqiha
Sultan
NED University of Engineering & Technology
rotating disk
anisotropic slip
Eyring-Powell
superhydrophobic
This study aims to investigate the effects of magnetic field and anisotropic slip on the flow of Eyring-Powell fluid and
heat transfer over an infinite rotating disk. Flows driven by the rotation of a disk have many practical applications in various areas of physics and engineering. The investigation of Eyring-Powell fluid flow due to the rotational motion of an infinite disk is extended for a case where anisotropic slip appears on the surface of the disk. The slip-length boundary condition has been made direction dependent by stipulating the independent slip-length values in the streamwise and spanwise direction. The flow is governed by the second-order approximation of Eyring-Powell fluid, and the numerical solution has been obtained by using bvp4c. The effects of several physical parameters such as Eyring-Powell parameter, magnetic field, and the Prandtl number have been investigated on the velocity and temperature profiles and physical quantities. The existence of a slip-length boundary condition greatly affects both the velocity and temperature profiles. The results are presented through graphs and tables, and to check their validity, a comparison has been made.