Laminar free convection from a continuously-moving vertical surface in thermally-stratified non-Darcian high-porosity medium: Network numerical study

Journal of the Taiwan Institute of Chemical Engineers

Ali

Zaman

et al. 2016

Self Cite

SummaryWe study the (R) and axial (X) direction. A numerical finite difference (FTCS) scheme is used to compute the velocity (U,V), temperature () and dimensionless zero moment of intensity (I0) distributions for the effects of conduction-radiation parameter (N), Darcy parameter (Da), Forchheimer parameter (Fs), Rayleigh buoyancy number (Ra), aspect ratio (A) and Prandtl number (Pr). The computations have shown that increasing aspect ratio increases both axial and radial velocities and elevates the radiative moment of intensity. Increasing Darcy number accelerates both axial and radial flow whereas increasing

Section: Validation With Network Simulation Methods (Nsm)mentioning

confidence: 99%

Computational modeling of heat transfer in an annular porous medium solar energy absorber with the P1-radiative differential approximation

Journal of the Taiwan Institute of Chemical Engineers

Ali

Zaman

et al. 2016

Self Cite

“…We shall discuss here this method which has been used extensively by Zueco [41]. NSM [42] is a numerical technique with a robust scientific basis, high accuracy, efficiency and reliability which has been successfully utilized in numerous linear and non-linear heat transfer, fluid mechanics and industrial transport phenomena problems [43][44][45][46]. NSM is founded on the classical thermoelectric analogy between thermal and electrical variables.…”

Section: Network Numerical Simulation Solutionsmentioning

confidence: 99%

Transient hydromagnetic flow in a rotating channel permeated by an inclined magnetic field with magnetic induction and Maxwell displacement current effects

Ghosh¹,

Zueco

et al. 2009

Z. Angew. Math. Phys.

Closed-form solutions are presented for the transient hydromagnetic flow in a rotating channel with inclined applied magnetic field under the influence of a forced oscillation. Magnetic Reynolds number is large enough to permit the inclusion of magnetic induction effects. The Maxwell displacement current effect is also included and simulated via a dielectric strength parameter. The governing momentum and magnetic induction conservation equations are normalized with appropriate transformations and the resulting quartet of partial differential equations are solved exactly. A parametric study is performed of the influence of oscillation frequency parameter (ω), time (T ), inverse Ekman number, i.e. rotation parameter (K 2 ), square of the Hartmann magnetohydrodynamic (MHD) parameter (M 2 ), and magnetic field inclination (θ) on the primary and secondary induced magnetic field components (bx, by) and velocity components (u, v) across the channel. Network solutions are also obtained to validate the exact solutions and shown to be in excellent agreement. Applications of the study arise in planetary plasma physics and rotating MHD induction power generators and also astronautical flows. Mathematics Subject Classification (2000). 76W05 · 76X05 · 65Z05.

“…Singh et al (2011) used a perturbation method to study the unsteady nonDarcian laminar natural convection flow in a vertical Computer Methods in Biomechanics and Biomedical Engineering 897 channel partially filled with porous medium. Further studies of non-Darcian transport include the articles by Nakayama et al (1993), Chen (2004), Takhar et al (2007), Bhargava, Takhar, et al (2007a), Bhargava, Rawat, et al (2007b), Vasu et al (2010), Zueco, Anwar Bég and Bég (2009a), Zueco, Anwar Bég, Bég and Takhar (2009b), Zueco, Anwar Bég and Lopez-Ochoa (2011a), Zueco, Anwar Bég and Takhar (2011b) and Anwar Bég et al (2008.…”

Section: Introductionmentioning

confidence: 99%

Differential transform semi-numerical analysis of biofluid-particle suspension flow and heat transfer in non-Darcian porous media

Bég¹,

Rashidi

Computer Methods in Biomechanics and Biomedical Engineering

et al. 2013

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The differential transform method (DTM) is semi-numerical method which is used to study the steady, laminar buoyancy-driven convection heat transfer of a particulate biofluid suspension in a channel containing a porous material. A two-phase continuum model is used. A set of variables is implemented to reduce the ordinary differential equations for momentum and energy conservation (for both phases) to a dimensionless system. DTM solutions are obtained for the dimensionless system under appropriate boundary conditions. We examine the influence of momentum inverse Stokes number (Skm), Darcy number (Da), Forchheimer number (Fs), particle loading parameter (pL), particle-phase wall slip parameter (Ω) and buoyancy parameter (B) on the fluid-phase velocity (U) and particle-phase velocity (Up). Padé approximants are also employed to achieve satisfaction of boundary conditions. Excellent correlation is obtained between the DTM and numerical quadrature solutions. The results indicate that there is a strong decrease in fluid-phase velocities with increasing Darcian (first-order) drag and the second-order Forchheimer drag, and a weaker reduction in particle-phase velocity field. Fluid and particle-phase velocities are also strongly affected with inverse momentum Stokes number. DTM is shown to be a powerful tool providing engineers with an alternative simulation approach to other traditional methods for multi-phase computational biofluid mechanics. The model finds applications in haemotological separation and biotechnological processing.