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Ali J. Chamkha - One of the best experts on this subject based on the ideXlab platform.

  • SOLUTIONS FOR MHD NATURAL CONVECTION FLOW OF A Particulate Suspension THROUGH A VERTICAL CHANNEL WITH ASYMMETRIC THERMAL BOUNDARY CONDITIONS
    Heat Transfer Research, 2013
    Co-Authors: Ali J. Chamkha, Seham S. Al-rashidi
    Abstract:

    A continuum model for two-phase (fluid/particle) flow induced by natural convection is developed and applied to the problem of steady natural convection MHD flow of a Particulate Suspension through an infinitely long vertical channel in the presence of heat generation or absorption effects. The walls of the channel are heated asymmetrically such that one of the channel walls is maintained at a constant heat flux, while the other is maintained at a constant temperature. The boundary conditions borrowed from the rarefied gas dynamics are employed for the particle-phase wall velocity conditions. Various closed-form solutions for different special cases are obtained. A parametric study of some physical parameters involved in the problem is done to illustrate the influence of these parameters on the flow and thermal aspects of the problem.

  • analytical solutions for hydromagnetic natural convection flow of a Particulate Suspension through isoflux isothermal channels in the presence of a heat source or sink
    Energy Conversion and Management, 2010
    Co-Authors: Ali J. Chamkha, Seham S Alrashidi
    Abstract:

    Abstract This work considers the problem of steady natural convection hydromagnetic flow of a Particulate Suspension through an infinitely long channel in the presence of heat generation or absorption effects. The channel walls are maintained at isoflux–isothermal condition. That is, the thermal boundary conditions are such that one of the channel walls is maintained at constant heat flux while the other is maintained at a constant temperature. Various closed-form solutions of the governing equations for different special cases are obtained. A parametric study of the physical parameters involved in the problem is done to illustrate the influence of these parameters on the velocity and temperature profiles of both phases.

  • Analytical solutions for hydromagnetic natural convection flow of a Particulate Suspension through isoflux–isothermal channels in the presence of a heat source or sink
    Energy Conversion and Management, 2010
    Co-Authors: Ali J. Chamkha, Seham S. Al-rashidi
    Abstract:

    Abstract This work considers the problem of steady natural convection hydromagnetic flow of a Particulate Suspension through an infinitely long channel in the presence of heat generation or absorption effects. The channel walls are maintained at isoflux–isothermal condition. That is, the thermal boundary conditions are such that one of the channel walls is maintained at constant heat flux while the other is maintained at a constant temperature. Various closed-form solutions of the governing equations for different special cases are obtained. A parametric study of the physical parameters involved in the problem is done to illustrate the influence of these parameters on the velocity and temperature profiles of both phases.

  • Steady natural convection flow of a Particulate Suspension through a circular pipe
    Heat and Mass Transfer, 2004
    Co-Authors: Mansour A. Al-subaie, Ali J. Chamkha
    Abstract:

    A continuum model for two-phase (fluid/particle) flow induced by natural convection is developed and applied to the problem of steady natural convention flow of a Particulate Suspension through an infinitely long pipe. The wall of the pipe is maintained at a constant temperature. The particle phase is endowed by an artificial viscosity which may be used to model particle-particle interaction in dension Suspensions. Boundary conditions borrowed from rarefied gas dynamics are employed for the particle-phase wall conditions. Closed-form solutions for the velocity and temperature profiles are obtained. For the assumptions employed in the problem, the temperatures of both phases in the pipe are predicted to be uniform. A parametric study of some physical parameters involved in the problem is performed to illustrate the influence of these parameters on the velocity profiles of both the fluid and particle phases.

  • Transient natural convection flow of a Particulate Suspension through a vertical channel
    Heat and Mass Transfer, 2003
    Co-Authors: Mansour A. Al-subaie, Ali J. Chamkha
    Abstract:

    Continuum equations governing transient, laminar, fully-developed natural convection flow of a Particulate Suspension through an infinitely long vertical channel are developed. The equations account for Particulate viscous effects which are absent from the original dusty-gas model. The walls of the channel are maintained at constant but different temperatures. No-slip boundary conditions are employed for the particle phase at the channel walls. The general transient problem is solved analytically using trigonometric Fourier series and the Laplace transform method. A parametric study of some physical parameters involved in the problem is performed to illustrate the influence of these parameters on the flow and thermal aspects of the problem.

John Peddieson - One of the best experts on this subject based on the ideXlab platform.

  • Mathematical modeling of Particulate Suspension flows in vertical circular pipes
    International Journal of Engineering Science, 2001
    Co-Authors: Tsong-hai Jean, John Peddieson
    Abstract:

    An idealized continuum mathematical model of laminar fully developed steady vertical Particulate Suspension flows is employed to produce both closed form and numerical solutions. These solutions are used to demonstrate that the model is capable of a rich variety of predictions including several commonly observed particle segregation patterns.

  • One-dimensional equations and solutions for Particulate Suspension flows
    International Journal of Engineering Science, 1997
    Co-Authors: Tsong-hai Jean, John Peddieson
    Abstract:

    Several aspects of mathematical modeling of one-dimensional Particulate Suspension flows are investigated. General differential equations are developed based on typical modeling concepts and reduced to two differential equations with two dependent variables. Steady and unsteady solutions of these equations are obtained which illustrate the influence of modeling choices on predictions.

  • Boundary Layer Theory for a Particulate Suspension
    Journal of Fluids Engineering-transactions of The Asme, 1994
    Co-Authors: Ali J. Chamkha, John Peddieson
    Abstract:

    This paper is concerned with boundary layer theory for a Particulate Suspension. Given the importance of boundary layers in applications, this topic has received surprisingly little attention. There is a history of work on the problem of the steady laminar boundary layer on a semi-infinite flat plate with recent contributions by Osiptsov, Prabha and Jain, and Wang and Glass. References to earlier work can be found in these papers. In contrast to investigations of the flat plate and a few other specific geometries, there appears to have been little effort devoted to determining the general form of boundary layer equations. The present paper deals with this topic. A boundary layer order of magnitude analysis is carried out using a typical set of two fluid equations representative of the current literature. It is found that a variety of outcomes are possible depending on the order of magnitude assumptions selected. Three of the most interesting cases are singled out for explicit presentation. Some specific numerical results are then given for the problem of steady laminar boundary layer flow past a semi-infinite flat plate. It is shown that the boundary layer model employed greatly influences predictions.

  • The flow induced by a rotating disk in a Particulate Suspension
    International Journal of Engineering Science, 1993
    Co-Authors: Moawya A. Allaham, John Peddieson
    Abstract:

    A typical finite volume fraction two phase flow model is used to investigate the influence of assumptions about the nature of particle phase viscosity and the structure of particle phase boundary conditions at a solid surface on solutions to the Von Karman problem for a particle/fluid Suspension. Solutions are obtained numerically by an iterative finite difference method. Comparisons of these solutions with one another and with previously published work reveal that both the particle phase viscosity and solid surface boundary conditions influence the nature of predictions in important ways. Selected numerical results are presented graphically to illustrate these conclusions

Hasan M. Ramadan - One of the best experts on this subject based on the ideXlab platform.

  • Hydromagnetic free convection of a Particulate Suspension from a permeable inclined plate with heat absorption for non-uniform particle-phase density
    Heat and Mass Transfer, 2003
    Co-Authors: Hasan M. Ramadan, Ali J. Chamkha
    Abstract:

    The problem of steady, laminar, free convection flow of a Particulate Suspension over an infinite, permeable, inclined, and isothermal flat plate in the presence of a transverse magnetic field and fluid heat absorption effects is studied numerically. The problem accounts for Particulate viscous effects which are absent from most two-phase models. An analytical solution is developed for the particle-phase density distribution and numerical solutions for the velocity and temperature profiles of both phases are obtained by using an implicit and iterative finite-difference method. A parametric study illustrating the influence of the magnetic field, heat absorption effects and particle loading is conducted. The obtained results for velocity, temperature and skin-friction coefficients for both phases as well as the Nusselt number are illustrated graphically to show the features of the solution.

  • Two-phase free convection flow over an infinite permeable inclined plate with non-uniform particle-phase density
    International Journal of Engineering Science, 1999
    Co-Authors: Hasan M. Ramadan, Ali J. Chamkha
    Abstract:

    Abstract Continuum equations governing steady, laminar, free convection flow of a Particulate Suspension over an infinite, permeable, inclined and isothermal flat plate are studied. The equations account for Particulate viscous and diffusive effects which are absent from most two-phase fluid-particle models. An analytical solution is developed for the particle-phase density distribution. However, the velocity and temperature distributions of both the fluid and particle phases are solved numerically by an implicit finite-difference method. These distributions along with the skin-friction coefficients of both phases and the Nusselt number are illustrated graphically for various parametric conditions.

  • Analytical solutions for free convection flow of a Particulate Suspension past an infinite vertical surface
    International Journal of Engineering Science, 1998
    Co-Authors: Ali J. Chamkha, Hasan M. Ramadan
    Abstract:

    Abstract Continuum equations governing steady, laminar, free convection flow of a Particulate Suspension past an infinite porous vertical flat plate are developed. These equation account for Particulate viscous effects which are absent from most two-phase flow models. Analytical solutions for inviscid and viscous particle phase of uniform density distribution are obtained. Graphical results for velocity and temperature profiles of both phases based on the analytical solutions are presented and discussed. In addition, tabulated results for the skin-friction coefficients of both phases and the Nusselt number of the fluid phase are shown. A parametric study of some of the physical parameters involved in the problem is conducted to elucidate interesting features of the solutions.

Abd Y Elmaboud - One of the best experts on this subject based on the ideXlab platform.

  • Particulate Suspension slip flow induced by peristaltic waves in a rectangular duct effect of lateral walls
    alexandria engineering journal, 2016
    Co-Authors: Safia Akram, Kh S Mekheimer, Abd Y Elmaboud
    Abstract:

    Abstract This paper looks at the influence of lateral walls on peristaltic transport of a particle fluid Suspension model applied in a non-uniform rectangular duct with slip boundaries. The peristaltic waves propagate on the horizontal sidewalls of a rectangular duct. The flow analysis has been developed for low Reynolds number and long wavelength approximation. Exact solutions have been established for the axial velocity and stream function. The effects of aspect the ratio β (ratio of height to width) and the volume fraction density of the particles C on the pumping characteristics are discussed in detail. The expressions for the pressure rise and friction forces on the wall of a rectangular duct were computed numerically and were plotted with variation of the flow rate for different values of the parameters. It is observed that in the peristaltic pumping ( Δ p > 0 , Q > 0 ) and retrograde pumping ( Δ p > 0 , Q 0 ) regions the pumping rate increases with an increase in M, while in the copumping region ( Δ p 0 , Q > 0 ) the behavior is quite opposite. Furthermore it is also observed that the pressure rise increases in the upper half of the channel and decreases in the lower half of the channel with the increase in l slip parameter.

  • Particulate Suspension flow induced by sinusoidal peristaltic waves through eccentric cylinders thread annular
    International Journal of Biomathematics, 2013
    Co-Authors: Kh S Mekheimer, Abd Y Elmaboud, A I Abdellateef
    Abstract:

    This paper describes a new model for obtaining analytical solutions of peristaltic flow through eccentric annuli. A mathematical model of peristaltic pumping of a fluid mixture (as blood model) in a circular eccentric cylinders is presented and it is motivated due to the fact that thread injection is a promising method for placing medical implants within the human body with minimum surgical trauma. For the eccentric annuli, the inner cylinder is rigid and moving with a constant velocity V, and the outer one is hollow flexible cylinder that has a sinusoidal wave traveling down its wall. The coupled differential equations for both the fluid and the particle phases have been solved by using two methods and the expressions for the velocity distribution of fluid and particle phase, flow rate, pressure drop, friction forces at the inner and outer cylinders have been derived. The results obtained are discussed in brief. The significance of the particle concentration and the eccentricity parameter as well as the nature of the basic flow has been well explained.

Seham S. Al-rashidi - One of the best experts on this subject based on the ideXlab platform.