Begell House Inc.
International Journal of Fluid Mechanics Research
FMR
2152-5102
47
3
2020
UNSTEADY MAGNETOHYDRODYNAMIC CHEMICALLY REACTING FLUID FLOW PAST AN INCLINED VERTICAL PERMEABLE MOVING PLATE
191-215
10.1615/InterJFluidMechRes.2020028808
Rallabandi Srinivasa
Raju
Department of Mathematics, GITAM University, Hyderabad Campus, Rudraram, Medak (Dt),
Telangana, 502329, India
Gurejala Jithender
Reddy
Department of Mathematics, VNR Vignana Jyothi Institute of Engineering and Technology,
Hyderabad, Ranga Reddy, Telangana, 500090, India
M. Anil
Kumar
Department of Mathematics, Anurag Group of Institutions (formerly C.V.S.R. College of
Engineering), Ghatkesar, Ranga Reddy District, Telangana State, 501301, India
R.S.R.
Gorla
Department of Mechanical Engineering, Cleveland State University, Cleveland, OH, 44115 USA; Department of Mechanical Engineering, University of Akron, Akron, Ohio 44325, USA; Department of Mechanical & Civil Engineering, Purdue University Northwest, Westville, IN 46391, USA
chemical reaction
magnetohydrodynamics
porous medium
angle of inclination
finite element method
Convergence analysis and grid independence of the finite element method on unsteady two-dimensional magnetohydrodynamic, viscous, incompressible, electrically conducting fluid flow past a vertically inclined semi-infinite permeable moving plate in the presence of chemical reaction is studied. It is assumed that, in the direction of the fluid flow, the plate is moving with an unvarying velocity. The fundamental dimensionless governing coupled nonlinear partial differential equations are solved by using an efficient finite element method. With the help of nondimensional pertinent parameters, the numerical results of velocity, temperature, and concentration distributions of the fluid as well as skin-friction, rate of heat, and mass transfer coefficients are discussed and displayed graphically. The chemical reaction parameter decreases the velocity and concentration profiles, whereas the temperature of the fluid is not significant with an increase of chemical reaction parameter. As a result of radiation absorption, the temperature and velocity profiles enhance rapidly. The influence of Prandtl number and heat source are opposite on velocity and temperature fields. The rate of convergence and grid independence study of the finite element method are discussed through tabular forms. Comparisons with previously published work on special cases of the problem are obtained and are observed to be in accord.
INFLUENCE OF CHEMICAL REACTION ON MAGNETOHYDRODYNAMIC FLOW OVER AN EXPONENTIAL STRETCHING SHEET: A NUMERICAL STUDY
217-228
10.1615/InterJFluidMechRes.2020028543
Pradyumna K.
Pattnaik
Department of Mathematics, College of Engineering and Technology, BBSR, 751029, India
S. R.
Mishra
Department of Mathematics, Siksha 'O' Anusandhan Deemed to be University, Khandagiri,
Bhubaneswar-751030, Odisha, India
A. K.
Barik
Department of Mechanical Engineering, College of Engineering and Technology, BBSR,
751029, India
A. K.
Mishra
Research scholar, Ravenshaw University, Cuttack, Odisha, India
MHD
buoyant forces
non-uniform heat source/sink
chemical reaction
The present paper analyzes the effect of chemical reaction on free convective magnetohydrodynamic (MHD) flow of steady, laminar, incompressible fluid with non-uniform heat source/sink. The flow passes through an exponential radiative stretching sheet in the presence of magnetic field. Suitable similar transformation is used to convert the non-linear partial differential equation to ordinary. Due to high non-linearity, analytical approach for these coupled non-linear equations does not hold well. Therefore, these transformed ordinary differential equations (ODEs) are solved by using a numerical technique adopting the Runge-Kutta fourth-order method accompanied with the shooting technique. The influences of various physical parameters on velocity, temperature, and solutal concentration profiles are presented through graphs and the numerical computation of physical quantities such as rate of shear stress, rate of heat and mass transfer are obtained and tabulated. Validation of the present results with that of earlier established result is made and it is in excellent agreement. The major finding of the said results is discussed in the results and discussion section elaborately. It has been noticed that buoyant forces enhance the velocity profile, and heat generation parameter increases, whereas absorption decreases the fluid temperature and destructive chemical reaction increases whereas generative reaction decreases the fluid concentration.
NUMERICAL INVESTIGATION OF EFFECT OF DENSITY AND ASPECT RATIO ON BUOYANT OSCILLATORY EXCHANGE FLOW THROUGH CIRCULAR OPENING IN HORIZONTAL PARTITION USING SALT WATER ANALOGY
229-245
10.1615/InterJFluidMechRes.2020029647
Bhuvaneshwar
Gera
Reactor Safety Division, Bhabha Atomic Research Centres, Trombay, Mumbai-400085, India
Arun Kumar
Nayak
Department of Engineering Sciences, Homi Bhabha National Institute, Anushakti Nagar, Mumbai 400094, Maharashtra, India; Reactor Engineering Division, Bhabha Atomic Research Centre, Mumbai-400085, India
M.
Alam
Jawaharlal Nehru Centre for Advanced Scientific Research, Bengaluru, India
R.K.
Singh
DAE Raja Ramanna Fellow, Bhabha Atomic Research Centre, Trombay, Mumbai, India; Homi Bhabha National Institute, Mumbai-400094, India
salt water
horizontal partition
CFD
oscillation
opening
An interesting transport phenomenon is observed through openings between two compartments separated by a thin,
vented, horizontal partition. A heavier fluid placed on the top of a lighter fluid and separated by a horizontal vent
constitutes a gravitationally unstable system and produces a flow that is unstable with irregular oscillatory behavior.
Computational fluid dynamics (CFD) simulations have been performed to simulate such type of flow across a circular
opening in a horizontal partition using salt water and fresh water as working fluids. The effect of density ratio and
opening aspect ratio on the oscillation frequency and flow coefficient through the opening has been investigated. An
in-house finite volume method (FVM) based CFD code was developed to solve unsteady, axisymmetric Navier-Stokes
equations along with realizable k-ε turbulence model and species transport for salt mass fraction. Higher order convection scheme was used to capture the oscillations correctly. A parametric study was performed with 4 density differences and 5 opening aspect ratios. It was observed that density difference has little influence on flow coefficient and significant influence on pulsation frequency, but aspect ratio has a strong influence on both the flow coefficient, as well as
the pulsation frequency. A correlation was developed to predict the frequency of oscillation for a given value of density
ratio and opening aspect ratio within a reasonable accuracy.
FLOW PAST AN OSCILLATING SLANTED PLATE UNDER THE EFFECTS OF INCLINED MAGNETIC FIELD, RADIATION, CHEMICAL REACTION, AND TIME-VARYING TEMPERATURE AND CONCENTRATION
247-261
10.1615/InterJFluidMechRes.2020026987
Mehari Fentahun
Endalew
Department of Mathematics, School of Applied Sciences, Kalinga Institute of Industrial
Technology, Bhubaneswar-751024, India
Anita
Nayak
Department of Mathematics, School of Applied Sciences, Kalinga Institute of Industrial
Technology, Bhubaneswar-751024, India
Subharthi
Sarkar
Department of Mathematics, Banwarilal Bhalotia College, Asansol, India
oscillating inclined plate
inclined magnetic field
chemical reaction
radiation
porous medium
An investigation of inclined magnetic field on unsteady natural convection heat and mass transfer flow past an oscillating
slanted plate embedded in a homogeneous permeable medium with destructive chemical reaction and thermal radiation under time-varying fluid temperature and species concentration is carried out. Exact solutions to the equations governing the flow are obtained in closed form utilizing Laplace transform technique. The values of fluid velocity, fluid temperature, and species concentration are presented graphically, while skin friction, mass, and heat transfer rates are recorded in tabular form for different values of important flow entities. We note that an increase in the angle of the applied magnetic field or the inclination of the plate reduces fluid velocity while it enhances local skin friction. However, an increase of phase angle diminishes both the fluid velocity and its gradient at the wall of the plate.
NUMERICAL SIMULATION OF TRANSONIC FLOW OVER SPACE VEHICLES
263-272
10.1615/InterJFluidMechRes.2020030702
Natalia V.
Palchekovskaya
Moscow Institute of Physics and Technology, Institutsky pereulok 9, Dolgoprudny, Moscow
Region, 141700, Russia; Central Aerohydrodynamic Institute, 1 Zhukovsky st., Zhukovsky, Moscow region, 140180,
Russia
transonic flow
descent space vehicle
Reynolds equations
aerodynamic coefficients
In this study peculiarities of transonic flow over a space vehicle similar to that of the ExoMars project are studied numerically. Dependencies of axial force coefficients on Mach number are obtained. Flow field transformation is shown when Mach number changes from subsonic to supersonic values. Critical Mach number, at which local supersonic zones disappear, is found.
INFLUENCE OF MAGNETIC FIELD ON THE STOKES FLOW THROUGH POROUS SPHEROID: HYDRODYNAMIC PERMEABILITY OF A MEMBRANE USING CELL MODEL TECHNIQUE
273-290
10.1615/InterJFluidMechRes.2020030464
Pramod
Yadav
Associate Professor
Stokes equation
Brinkman equation
stress jump coefficient
Hartmann number
perturbation method
The present work concerns an analysis of the creeping flow of steady, axisymmetric Stokes flow of an electrically conducting, viscous, incompressible fluid through a swarm of porous spheroidal particles in the presence of a uniform magnetic field. Cell model technique has been used to model the problem. Four known boundary conditions, Happel's, Kuwabara's, Kvashnin's, and Cunningham's (Mehta-Morse's), are used to find the hydrodynamic permeability of the membrane built up by porous spheroidal particles by using the perturbation method. The stress jump boundary condition for tangential stresses, along with the continuity of normal stress and velocity components, is used at the fluid-porous interface. The variation of the dimensionless hydrodynamic permeability of the membrane with the stress jump coefficient, the Hartmann number, and the dimensionless permeability of the porous region and particle volume fraction are discussed. The presented model can be used for the evaluation of changing hydrodynamic permeability of a membrane under the influence of a uniform magnetic field in pressure-driven processes (nano-, reverse osmosis, and microfiltration).