Begell House Inc.
International Journal of Fluid Mechanics Research
FMR
2152-5102
43
4
2016
Dynamic Interaction Model to Analyze Hydrodynamics of Gas-non-Newtonian-Liquid Flow in Vertical Helical Coil Pipe (VHCP)
281-307
Anil Kumar
Thandlam
Chemical Engineering Department, Indian Institute of Technology Guwahati
Guwahati-781039, Assam, India
Subrata Kumar
Majumder
Department of Chemical Engineering, Indian Institute of Technology Guwahati, Guwahati, PIN-781039, Assam, India
The flow regimes and interfacial shear stress in helical coil with air-Newtonian and non-Newtonian liquid has been analyzed by developing a dynamic interaction model. The model equation has been developed based on the flow regimes, drag at interface and the wettability effect of the liquid. Also the intensity factor of friction factor of two-phase flow in the helical coil is analyzed and correlated with the dynamic, geometric and physical variables. The functional form of equation appears to predict the pressure drop and interfacial stress satisfactorily for two-phase flow in helical coil with sodium carboxymethyl cellulose (SCMC) solution of different concentrations. The analysis of the model may be useful for further understanding of the complex flow behavior in multiphase flow unit for industrial installation.
A Study of Mixed Convection Flow over Stretching Cylinder in Presence of Slip Flow and Thermal Jump Boundary Conditions
308-318
Upendra
Mishra
Department of Mathematics, Amity niversity Rajasthan Jaipur, India
Gurminder
Singh
Department of Mathematics, Birla Institute of Technology (Ranchi), Ext. Center Jaipur,
27, Malviya Industrial Area, Jaipur, 302017, India
The present work focuses on the study of flow and heat transfer in the axisymmetric flow of a viscous incompressible fluid over a permeable vertical stretching
cylinder. The flow model is studied for the second order slip flow and first order thermal jump boundary condition. The governing equations of continuity, momentum and energy are transformed into system of non-linear ordinary differential equations and solved numerically. The velocity and temperature distributions are discussed and shown through graphs. The effects of various physical parameters are examined and discussed in detail. The expressions of skin-friction coefficient and Nusselt number at the cylinder are discussed and their variations are presented through tables. It is found that the increase in first and second order slip parameters increases the fluid velocity while temperature distribution is not considerably affected. Further, the increase in thermal jump parameter tends to increase fluid velocity and temperature.
On Two Dimensional Steady Flow in Solid Tumors
319-332
A.
Gracia
School of Mathematical and Statistical Sciences,
One West University Boulevard, University of Texas Rio Grande Valley, Brownsville, Texas 78520 USA
Daniel N.
Riahi
School of Mathematical and Statistical Sciences,
One West University Boulevard, University of Texas Rio Grande Valley, Brownsville, Texas 78520 USA
Ranadhir
Roy
School of Mathematical and Statistical Sciences,
One West University Boulevard, University of Texas Rio Grande Valley, Brownsville, Texas 78520 USA
We investigate the problem of fluid flow in solid tumors. We developed a mathematical model for the two dimensional fluid flow in a spherical tumor where the spatial variations of the interstitial velocity, interstitial pressure and the drug
concentration within the tumor are, in general, with respect to the radial distance and the latitudinal angle in the spherical coordinates. We determined analytically the interstitial pressure, interstitial velocity and two investigated drug concentrations and calculated these quantities in the tumor as well as in a corresponding normal tissue. We found, in particular, that interstitial pressure in the tumor can
be higher than that in the normal tissue, and there can be blood flow circulation in the tumor. Depending on the types of the two considered drug concentrations, we determined the results about the efficiency and the way drug delivery in the
tumor takes place in the absence or presence of the drugs' interactions that could be significant in the presence of the two drugs in the tumor.
Analytical Solution of Convective Heat Transfer of Oscillating Flow Subject to a Triangular Pressure Waveform
333-349
Mohammed
Abdulhameed
Center for Research in Computational Mathematics, Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn, 86400 Batu Pahat, Johor DT, Malaysia
Rozaini
Roslan
Center for Research in Computational Mathematics, Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn, 86400 Batu Pahat, Johor DT, Malaysia
B. S.
Bhadauria
Department of Mathematics, Faculty of Science,
Banaras Hindu University Varanasi-221005, India
Ishak
Hashim
School of Mathematical Sciences & Solar Energy Research Institute, Faculty of Science
& Technology, Universiti Kebangsaan Malaysia 43600 UKM Bangi, Selangor DE, Malaysia
The analytical solutions of velocity and temperature distributions of a laminar viscoelastic fully developed pipe flow subject to a triangular pressure waveform are presented. The solution for the velocity field is given in terms of a series of Bessel functions during the solution for temperature distribution in term of a series of Kummer function. The velocity and temperature distributions for a triangular
pressure waveform are significant from the sinusoidal pressure waveform. The fluid temperature depends upon the Prandtl number in the case of large values of time where it does not depend on this parameter in the case of small values of time. The trend of larger temperature rises with triangular pressure waveform
in comparison with the corresponding temperature rise due to a sinusoidal waveform.
MHD Mixed Convection Flow in a Vertical Pipe with Time Periodic Boundary Condition: Steady Periodic Regime
350-367
Basant K.
Jha
Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria
BABATUNDE
AINA
FEDERAL UNIVERSITY GASHUA
This study presents an analytical solution for fully developed mixed convection flow of viscous, incompressible, electrically conducting fluid in vertical pipe having time-periodic boundary condition in the presence of transverse magnetic field. The analysis is carried out for fully developed parallel flow and steadyperiodic regime. The governing dimensionless momentum and energy equations are separated into steady and periodic parts and solved analytically. Closed form solutions are expressed in terms of modified Bessel function of first kind and second kind. The influence of each governing parameter such as magnetic parameter, Prandtl number, the dimensionless frequency on flow formation is discussed with the aid of graphs. The significant result from the study is that, the amplitude of the friction factor oscillation is maximum at a resonance frequency
near the surface of the tube where there is periodic heating. In addition, increasing magnetic parameter decrease the amplitude of the friction factor oscillation.
Motion of the Objects of Different Sizes and Shapes on the Surface of a Vortex
368-374
A. A.
Budnikov
M. V. Lomonosov Moscow State University, Faculty of Physics, Leninskie Gory, Moscow 119991, Russia
Tatiana O.
Chaplina
Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo, 101-1,
Moscow, Russia
K. V.
Pokazeev
M. V. Lomonosov Moscow State University, Faculty of Physics, Leninskie Gory, Moscow 119991, Russia
The study is devoted to the problem of visualization of vortex flows by introducing various markers in a moving fluid. In addition, the study contributes to the problem of measuring the flow characteristics by observing marker trajectories.
Experiments were conducted by using polypropylene markers different in size and shape, miscible and immiscible admixtures. The experiments show that the presence of an active marker on the vortex surface changes the flow pattern. Marker trajectories depend on their initial positions and number. All the markers rotate about the vortex center and their own axes. Angular velocities of the both type of rotation are associated functional dependences, which are defined by the flow parameters and marker properties (volume, weight, size and shape). Because of the difference in velocities at the boundaries, the active marker trajectories are feasible not to align with the direction of the flow motion.