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- Darcy law (1)
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- Hematocrit (1)
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- Solar panel (1)
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- The Galilean space (1)
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Articles 1 - 9 of 9
Full-Text Articles in Physics
Stretching A Surface Having A Layer Of Porous Medium In A Viscous Fluid, M. Sajid, Z. Abbas, N. Ali, T. Javed
Stretching A Surface Having A Layer Of Porous Medium In A Viscous Fluid, M. Sajid, Z. Abbas, N. Ali, T. Javed
Applications and Applied Mathematics: An International Journal (AAM)
The present analysis deals with the steady, incompressible flow of a viscous fluid over a stretching sheet having a layer of porous medium of uniform thickness. The two-dimensional flow equations are derived in a Cartesian coordinate system. The semi-infinite region filled with a viscous fluid is divided into two regions namely, a clear fluid region and a region having a uniform pores. Darcy's law has been used for the flow of fluid in the porous medium region. An exact similar solution of the problem is obtained. The obtained solution is constrained by a relation between the porosity parameter and the …
On The Geometrıc Interpretatıons Of The Kleın-Gordon Equatıon And Solution Of The Equation By Homotopy Perturbation Method, Hasan Bulut, H. M. Başkonuş
On The Geometrıc Interpretatıons Of The Kleın-Gordon Equatıon And Solution Of The Equation By Homotopy Perturbation Method, Hasan Bulut, H. M. Başkonuş
Applications and Applied Mathematics: An International Journal (AAM)
This paper is organized in the following ways: In the first part, we obtained the Klein Gordon Equation (KGE) in the Galilean space. In the second part, we applied Homotopy Perturbation Method (HPM) to this differential equation. In the third part, we gave two examples for the Klein Gordon equation. Finally, We compared the numerical results of this differential equation with their exact results. We also showed that approach used is easy and highly accurate.
Two Numerical Algorithms For Solving A Partial Integro-Differential Equation With A Weakly Singular Kernel, Jeong-Mi Yoon, Shishen Xie, Volodymyr Hrynkiv
Two Numerical Algorithms For Solving A Partial Integro-Differential Equation With A Weakly Singular Kernel, Jeong-Mi Yoon, Shishen Xie, Volodymyr Hrynkiv
Applications and Applied Mathematics: An International Journal (AAM)
Two numerical algorithms based on variational iteration and decomposition methods are developed to solve a linear partial integro-differential equation with a weakly singular kernel arising from viscoelasticity. In addition, analytic solution is re-derived by using the variational iteration method and decomposition method.
Hydromagnetic Instability Of Streaming Viscoelastic Fluids Through Porous Media, Pardeep Kumar, Hari Mohan
Hydromagnetic Instability Of Streaming Viscoelastic Fluids Through Porous Media, Pardeep Kumar, Hari Mohan
Applications and Applied Mathematics: An International Journal (AAM)
The hydromagnetic instability of the plane interface between two uniform, superposed and streaming Rivlin-Ericksen viscoelastic fluids through porous medium is considered. The case of two uniform streaming fluids separated by a horizontal boundary is studied. It is observed, for the special case where perturbations in the direction and transverse direction of streaming are ignored, that the system is stable for stable configuration and unstable for unstable configuration. If the perturbations in the direction of streaming only one ignored, then the system is stable for stable configuration. However, the magnetic field succeeds in stabilizing certain wave-number range, which is otherwise potentially …
A Macroscopic Two-Phase Blood Flow Through A Bell Shaped Stenosis In An Artery With Permeable Wall, V. P. Srivastava, Mala Tandon, Rupesh K. Srivastav
A Macroscopic Two-Phase Blood Flow Through A Bell Shaped Stenosis In An Artery With Permeable Wall, V. P. Srivastava, Mala Tandon, Rupesh K. Srivastav
Applications and Applied Mathematics: An International Journal (AAM)
The present work concerns the effects of the hematocrit and the permeability of the wall on blood flow characteristics due to the presence of a bell shaped stenosis in an artery. In this analysis, the flowing blood is represented by a macroscopic two-phase model, as a suspension of erythrocytes in plasma. The analytical expressions for the flow characteristics, namely, the flow resistance (impedance), the wall shear stress distribution in the stenotic region and the shearing stress at the stenosis throat have been derived. Results for the effects of permeability as well as of hematocrit on these flow characteristics are shown …
Mhd Mixed Convective Flow Of Viscoelastic And Viscous Fluids In A Vertical Porous Channel, R. Sivaraj, B. R. Kumar, J. Prakash
Mhd Mixed Convective Flow Of Viscoelastic And Viscous Fluids In A Vertical Porous Channel, R. Sivaraj, B. R. Kumar, J. Prakash
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we analyze the problem of steady, mixed convective, laminar flow of two incompressible, electrically conducting and heat absorbing immiscible fluids in a vertical porous channel filled with viscoelastic fluid in one region and viscous fluid in the other region. A uniform magnetic field is applied in the transverse direction, the fluids rise in the channel driven by thermal buoyancy forces associated with thermal radiation. The equations are modeled using the fully developed flow conditions. An exact solution is obtained for the velocity, temperature, skin friction and Nusselt number distributions. The physical interpretation to these expressions is examined …
New Explicit Solutions For Homogeneous Kdv Equations Of Third Order By Trigonometric And Hyperbolic Function Methods, Marwan Alquran, Roba Al-Omary, Qutaibeh Katatbeh
New Explicit Solutions For Homogeneous Kdv Equations Of Third Order By Trigonometric And Hyperbolic Function Methods, Marwan Alquran, Roba Al-Omary, Qutaibeh Katatbeh
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we study two-component evolutionary systems of the homogeneous KdV equation of the third order types (I) and (II). Trigonometric and hyperbolic function methods such as the sine-cosine method, the rational sine-cosine method, the rational sinh-cosh method, sech-csch method and rational tanh-coth method are used for analytical treatment of these systems. These methods, have the advantage of reducing the nonlinear problem to a system of algebraic equations that can be solved by computerized packages.
Boundary Stabilization Of Torsional Vibrations Of A Solar Panel, Prasanta K. Nandi, Ganesh C. Gorain, Samarjit Kar
Boundary Stabilization Of Torsional Vibrations Of A Solar Panel, Prasanta K. Nandi, Ganesh C. Gorain, Samarjit Kar
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we study a boundary stabilization of the torsional vibrations of a solar panel. The panel is held by a rigid hub at one end and is totally free at the other. The dynamics of the overall system leads to hybrid system of equations. It is set to a certain initial vibrations with a control torque as a stabilizer at the hub end only. Taking a non-linear damping as boundary stabilizer, a uniform exponential energy decay rate is obtained directly. Thus an explicit form of uniform stabilization of the system is achieved by means of the exponential energy …
Thermal Instability Of Rivlin-Ericksen Elastico-Viscous Rotating Fluid In Porous Medium In Hydromagnetics, S. K. Kango, Vikram Singh
Thermal Instability Of Rivlin-Ericksen Elastico-Viscous Rotating Fluid In Porous Medium In Hydromagnetics, S. K. Kango, Vikram Singh
Applications and Applied Mathematics: An International Journal (AAM)
The thermal instability of a layer of Rivlin-Ericksen elastico-viscous rotating fluid in a porous medium in hydromagnetics is considered. For stationary convection, the Rivlin-Ericksen elastico-viscous fluid behaves like an ordinary (Newtonian) fluid. The magnetic field is found to have a stabilizing effect on the thermal instability of a layer of Rivlin-Ericksen fluid in the absence of rotation whereas the medium permeability has a destabilizing effect on thermal instability of Rivlin-Ericksen fluid in the absence of rotation. Rotation always has a stabilizing effect. The magnetic field, medium permeability and rotation introduce oscillatory modes in the system, which were non-existent in their …