Numerical Solution Of Fractional Integro-Differential Equations With Nonlocal Conditions,
2017
Kharazmi University
Numerical Solution Of Fractional Integro-Differential Equations With Nonlocal Conditions, M. Jani, D. Bhatta, S. Javadi
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we present a numerical method for solving fractional integro-differential equations with nonlocal boundary conditions using Bernstein polynomials. Some theoretical considerations regarding fractional order derivatives of Bernstein polynomials are discussed. The error analysis is carried out and supported with some numerical examples. It is shown that the method is simple and accurate for the given problem.
Hematocrit Level On Blood Flow Through A Stenosed Artery With Permeable Wall: A Theoretical Study,
2017
University of Rajshahi
Hematocrit Level On Blood Flow Through A Stenosed Artery With Permeable Wall: A Theoretical Study, A. Malek, A. Hoque
Applications and Applied Mathematics: An International Journal (AAM)
The paper deals with the hematocrit level on resistance of flow, wall shear stress in a stenosed artery of permeable wall. In the paper we have developed and solved some theoretical formulas based on stenosis and hematocrit effects. The results highlight that the resistance of flow increases for increasing of stenosis height where the hematocrit level (35%-45%) has significant effects. Moreover, the effects of slip parameter and Darcy number due to permeability of the wall on resistance of flow have been investigated. The effects of hematocrit level, slip parameter and Darcy number have been focused on wall shear stress of …
Effect Of Nonlinear Thermal Radiation On Mhd Chemically Reacting Maxwell Fluid Flow Past A Linearly Stretching Sheet,
2017
Sri Venkateswara University
Effect Of Nonlinear Thermal Radiation On Mhd Chemically Reacting Maxwell Fluid Flow Past A Linearly Stretching Sheet, A. M. Ramireddy, J. V. Ramana Reddy, N. Sandeep, V. Sugunamma
Applications and Applied Mathematics: An International Journal (AAM)
This communication addresses the influence of nonlinear thermal radiation on magneto hydrodynamic Maxwell fluid flow past a linearly stretching surface with heat and mass transfer. The effects of heat generation/absorption and chemical reaction are taken into account. At first, we converted the governing partial differential equations into nonlinear ordinary differential equations with the help of suitable similarity transformations and solved by using Runge-Kutta based shooting technique. Further, the effects of various physical parameters on velocity, temperature and concentration fields were discussed thoroughly with the help of graphs obtained by using bvp5c MATLAB package. In view of many engineering applications we …
Analysis Of Heat And Mass Transfer Of An Inclined Magnetic Field Pressure-Driven Flow Past A Permeable Plate,
2017
University of Ilorin
Analysis Of Heat And Mass Transfer Of An Inclined Magnetic Field Pressure-Driven Flow Past A Permeable Plate, M. S. Dada, S. O. Salawu
Applications and Applied Mathematics: An International Journal (AAM)
The study considers heat and mass transfer of magnetohydrodynamics pressure-driven flow passed a stretching permeable surface in the presence of inclined uniform magnetic field. The equations governing the model are transformed by Lie’s group and solved using weighted residual method. The results obtained are compared with that of fourth order Runge-Kutta method that show the effects of Skin friction, Nusselt and Sherwood numbers on the flow. Finally, the influence of some important parameters on the flow are presented graphically and discussed.
Effect Of Buoyancy And Magnetic Field On Unsteady Convective Diusion Of Solute In A Boussinesq Stokes Suspension Bounded By Porous Beds,
2017
Annamalai University
Effect Of Buoyancy And Magnetic Field On Unsteady Convective Diusion Of Solute In A Boussinesq Stokes Suspension Bounded By Porous Beds, Nirmala P. Ratchagar, R. Vijayakumar
Applications and Applied Mathematics: An International Journal (AAM)
Hydromagnetic free and forced convection in a parallel plate channel bounded by porous bed and transverse magnetic field has been considered. When there is a uniform axial temperature variation along the walls, the primary flow shows incipient flow reversal at the upper plate for an increase in temperature along that plate. Similarly flow reversal at the lower plate occurs with a decrease in temperature along that plate. The magnetic field, arising as a body couple in the governing equations is shown to increase the axis dispersion coefficient. The effect of various physical parameters such as Hartmann number, Grashof number, porous …
Natural Convection In Redox Electrochemistry: Model, Simulation And Experiments,
2017
Missouri University of Science and Technology
Natural Convection In Redox Electrochemistry: Model, Simulation And Experiments, Fangping Yuan, Kakkattukuzhy M. Isaac
Collaborative Research: Actively Controllable Microfluidics with Film-Confined Redox-Magnetohydrodynamics -- Video and Data
No abstract provided.
A Coupled Localized Rbf Meshless/Drbem Formulation For Accurate Modeling Of Incompressible Fluid Flows,
2017
Embry-Riddle Aeronautical University
A Coupled Localized Rbf Meshless/Drbem Formulation For Accurate Modeling Of Incompressible Fluid Flows, Leonardo Bueno, Eduardo Divo, Alain J. Kassab
Publications
Velocity-pressure coupling schemes for the solution of incompressible fluid flow problems in Computational Fluid Dynamics (CFD) rely on the formulation of Poisson-like equations through projection methods. The solution of these Poisson-like equations represent the pressure correction and the velocity correction to ensure proper satisfaction of the conservation of mass equation at each step of a time-marching scheme or at each level of an iteration process. Inaccurate solutions of these Poisson-like equations result in meaningless instantaneous or intermediate approximations that do not represent the proper time-accurate behavior of the flow. The fact that these equations must be solved to convergence at …
Characterization Of The Shock Wave Structure In Water,
2017
Marquette University
Characterization Of The Shock Wave Structure In Water, Emilie Teitz
Master's Theses (2009 -)
The scientific community is interested in furthering the understanding of shock wave structures in water, given its implications in a wide range of applications; from researching how shock waves penetrate unwanted body tissues to studying how humans respond to blast waves. Shock wave research on water has existed for over five decades. Previous studies have investigated the shock response of water at pressures ranging from 1 to 70 GPa using flyer plate experiments. This report differs from previously published experiments in that the water was loaded to shock pressures ranging from 0.36 to 0.70 GPa. The experiment also utilized tap …
An Rbf Interpolation Blending Scheme For Effective Shock-Capturing,
2017
University of Central Florida
An Rbf Interpolation Blending Scheme For Effective Shock-Capturing, M. Harris, Eduardo Divo, Alain J. Kassab
Publications
In recent years significant focus has been given to the study of Radial basis functions (RBF), especially in their use on solving partial differential equations (PDE). RBF have an impressive capability of inter- polating scattered data, even when this data presents localized discontinuities. However, for infinitely smooth RBF such as the Multiquadrics, inverse Multiquadrics, and Gaussian, the shape parameter must be chosen properly to obtain accurate approximations while avoiding ill-conditioning of the interpolating matrices. The optimum shape parameter can vary significantly depending on the field, particularly in locations of steep gradients, shocks, or discontinuities. Typically, the shape parameter is chosen …
An Experimental Investigation Of Wing-Tip Vortex Decay In Turbulence,
2017
University of Kentucky
An Experimental Investigation Of Wing-Tip Vortex Decay In Turbulence, Hai G. Ghimire, Sean C. C. Bailey
Mechanical Engineering Faculty Publications
Particle image velocimetry measurements were conducted for a wing-tip vortex decaying in free-stream turbulence. The vortex exhibited stochastic collapse with free-stream turbulence present, with the breakdown initiating earlier for higher levels of turbulence. An increased rate of decay of the vortex tangential velocity was also observed, increasing with increasing free-stream turbulence. The decay of the vortex tangential velocity without the free-stream turbulence was well represented by viscous diffusion, resulting in an increase in the core radius and decrease in the peak tangential velocity. With the addition of free-stream turbulence, the rate of decay of the peak tangential velocity of the …
Optimizing Jets For Wake Control Of Ground Vehicles,
2017
Embry-Riddle Aeronautical University
Optimizing Jets For Wake Control Of Ground Vehicles, Domenic Barsotti, Sandra Boetcher
Publications
A system of wake control for a ground vehicle to help promote increased fuel efficiencies of the ground vehicle by modifying an air flow wake generated during the movement of the vehicle in a forward direction. The system includes at least one slot jet configured to be located along a rear profile portion of the ground vehicle. The at least one slot jet is configured to provide a continuous flow of air at a non-zero velocity when the ground vehicle is moving in a forward direction, the non-zero velocity being at least partially directed in a rearward direction with an …
Multi-Stage Axial Compressor With Counter-Rotation,
2017
Embry-Riddle Aeronautical University
Multi-Stage Axial Compressor With Counter-Rotation, Vinod Gehlot, Magdy S. Attia, Divyam Garg
Publications
A multi-stage axial compressor incorporating a counter-rotational movement is provided with a series of rotors mounted along and driven by a driveshaft, and a geared counter-rotating outer casing. A planetary gear system is assembled along a static casing, which can be assembled as a forward or aft casing for the compressor. The bearings of the planetary gear system typically will be aligned concentrically with a center rotor drum assembly mounted along the single driveshaft. The counter-rotating drum assembly will be assembled over the rotor drum assembly and will be engaged by the forward and aft casings so as to provide …
A Physics-Based Approach To Modeling Wildland Fire Spread Through Porous Fuel Beds,
2017
University of Kentucky
A Physics-Based Approach To Modeling Wildland Fire Spread Through Porous Fuel Beds, Tingting Tang
Theses and Dissertations--Mechanical and Aerospace Engineering
Wildfires are becoming increasingly erratic nowadays at least in part because of climate change. CFD (computational fluid dynamics)-based models with the potential of simulating extreme behaviors are gaining increasing attention as a means to predict such behavior in order to aid firefighting efforts. This dissertation describes a wildfire model based on the current understanding of wildfire physics. The model includes physics of turbulence, inhomogeneous porous fuel beds, heat release, ignition, and firebrands. A discrete dynamical system for flow in porous media is derived and incorporated into the subgrid-scale model for synthetic-velocity large-eddy simulation (LES), and a general porosity-permeability model is …
The Intrinsic Variability Of The Water Vapor Saturation Ratio Due To Mixing,
2017
Michigan Technological University
The Intrinsic Variability Of The Water Vapor Saturation Ratio Due To Mixing, Jesse Anderson
Dissertations, Master's Theses and Master's Reports
The water vapor concentration plays an important role for many atmospheric processes. The mean concentration is key to understand water vapor's effect on the climate as a greenhouse gas. The fluctuations about the mean are important to understand heat fluxes between Earth's surface and the boundary layer. These fluctuations are linked to turbulence that is present in the boundary layer. Turbulent conditions are simulated in Michigan Tech’s multiphase, turbulent reaction chamber, the π chamber. Measurements for temperature and water vapor concentration were recorded under forced Rayleigh- Bénard convection at several turbulent intensities. These were used to calculate the saturation ratio, …
Exploiting Modern Image Processing In Surface Flow Visualisation,
2017
The British University in Egypt
Exploiting Modern Image Processing In Surface Flow Visualisation, Tarek Ihab Abdelsalam, Richard Williams, Grant Ingram
Mechanical Engineering
Surface flow visualisation is an experimental technique where the surface of interest is painted with an oil and dye mixture before a flow is applied to the object. In regions of high shear stress the oil/dye mixture is then removed and in regions of low shear stress the oil/dye mixture stays or builds up. The resulting pattern can be analysed to determine the structure near the surface under test, this is normally done in a qualitative manner with flow structures being identified based on the expertise of the experimentalist. Modern image processing tools can identify shapes and lines in pictures …
Wave Motion Induced By Turbulent Shear Flows Over Growing Stokes Waves,
2016
Embry-Riddle Aeronautical University
Wave Motion Induced By Turbulent Shear Flows Over Growing Stokes Waves, Shahrdad Sajjadi, Serena Robertson, Rebecca Harvey, Mary Brown
Publications
The recent analytical of multi-layer analyses proposed by Sajjadi et al. (J Eng Math 84:73, 2014) (SHD14 therein) is solved numerically for atmospheric turbulent shear flows blowing over growing (or unsteady) Stokes (bimodal) water waves, of low-to-moderate steepness. For unsteady surface waves, the amplitude a(t)∝ekcita(t)∝ekcit, where kcikci is the wave growth factor, k is the wavenumber, and cici is the complex part of the wave phase speed, and thus, the waves begin to grow as more energy is transferred to them by the wind. This will then display the critical height to a point, where the thickness of the inner …
Dispersion Characteristics Of Non-Newtonian Fluid During Transportation Of Nanoparticles In Permeable Capillary,
2016
HBTI, Kanpur
Dispersion Characteristics Of Non-Newtonian Fluid During Transportation Of Nanoparticles In Permeable Capillary, Rekha Bali, Nivedita Gupta, Swati Mishra
Applications and Applied Mathematics: An International Journal (AAM)
The present analysis deals with the dispersion characteristics of blood described as Herschel- Bulkley fluid in capillary with permeable walls for fluid and impermeable for the nanoparticles. The contribution of molecular and convective diffusion is recalled from the Taylor and Aris coefficient of diffusion. The effective longitudinal diffusion depends on three parameters namely rheological parameter, pressure parameter, and the permeability parameter. We investigate the influence of the longitudinal transport of nanoparticles with permeable blood vessels on the effective dispersion. It shows that the effective diffusion of nanoparticles reduces with increase in radius of the plug region (i.e., the volume of …
On Arresting The Complex Growth Rates In Rotatory Triply Diffusive Convection,
2016
Himachal Pradesh University
On Arresting The Complex Growth Rates In Rotatory Triply Diffusive Convection, Jyoti Prakash, Renu Bala, Kanu Vaid, Vinod Kumar
Applications and Applied Mathematics: An International Journal (AAM)
Linear stability of a triply diffusive fluid layer (one of the components may be heat) has been mathematically analyzed in the presence of uniform vertical rotation. Upper bounds for the complex growth rate of an arbitrary oscillatory perturbation of growing amplitude are derived which are important especially when at least one of the boundaries is rigid so that exact solutions in closed form are not obtainable. Further, it is proved that the results obtained herein are uniformly valid for any combination of dynamically free and rigid boundaries. It is also shown that the existing results of rotatory hydrodynamic Rayleigh Benard …
Heat And Mass Transfer In Mhd Micropolar Fluid In The Presence Of Diffusion Thermo And Chemical Reaction,
2016
University of Botswana
Heat And Mass Transfer In Mhd Micropolar Fluid In The Presence Of Diffusion Thermo And Chemical Reaction, R. V. M.S.S Kirankumar1, V. C. C.Raju, P. D. Prasad, S. V. Varma
Applications and Applied Mathematics: An International Journal (AAM)
This work is devoted to investigating the influence of diffusion thermo effect on hydromagnetic heat and mass transfer oscillatory flow of a micropolar fluid over an infinite moving vertical permeable plate in a saturated porous medium in the presence of transverse magnetic field and chemical reaction. The dimensionless equations are solved analytically using perturbation technique. The effects of the various fluid flow parameters entering into the problem on the velocity, microrotation, temperature and concentration fields within the boundary layer are discussed with the help of graphs. Also the local skin-friction coefficient, the wall couple stress coefficient, and the rates of …
Unsteady Mhd Flow Past An Impulsively Started Inclined Plate With Variable Temperature And Mass Diffusion In The Presence Of Hall Current,
2016
University of Lucknow
Unsteady Mhd Flow Past An Impulsively Started Inclined Plate With Variable Temperature And Mass Diffusion In The Presence Of Hall Current, U. S. Rajput, Gaurav Kumar
Applications and Applied Mathematics: An International Journal (AAM)
No abstract provided.
