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1
100%
EN
The magnetoconvective flow and heat transfer between a long vertical wavy wall and a parallel flat wall in the presence of applied electric field parallel to gravity, magnetic field normal to gravity and uniform heat source is investigated. Nonlinear equations governing the motion have been solved by linearization technique wherein the flow is assumed to consist of two parts; a mean part and a perturbed part. Exact solutions are obtained for the mean part and the perturbed part is solved using long wave approximation. The results are presented for various values of the Hartmann number, electric field loading parameter, heat source parameter and the wall temperature ratio. The effect of these parameters on the physical characteristics such as skin friction and the Nusselt number at the walls is studied.
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1998
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tom Vol. 72, nr 7S
1464-1471
EN
The dependency of hydration free energies on the atomic charge distribution has been studied using the free energy perturbation method and molecular dynamics simulations. Several hypothetical sets of atomic charges for methanol molecule have been constructed, yielding the same total molecular dipole moment of 2.14 D. Each of the sets has been perturbed into another one and the electrostatic contributions to the hydration free energy differences associated with such changes have been determined. The magnitude of calculated electronic contribution to the solvation free energies crucially depends on the position of the center charge and orientation of the total dipole moment within molecular van Waals envelope. It depends less on higher molecular multipole moments. This issue of cinvergence of the electrostatic contribution to the freee energies obtained from molecular dynamics simulations will be also addressed.
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2001
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tom nr 3
66-71
EN
In order to obtain precise complex permittivity of the dielectric materials obtained from the perturbation method a correction curve is made using the electromagnetic field simulator which applies transmission line modeling (TLM) method. In this experiment, generated microwave power with the frequency of 2.45 GHz is applied to heat dielectric material while measuring temperature dependence of complex permittivity of dielectric material. To obtain these objectives cavity resonator with cooling system is designed. It is found from the result that the accurate temperature dependence of complex permittivity of the materials can be obtained by the method presented here.
EN
The asymptotic iteration method is used to find exact and approximate solutions of Schrödinger’s equation for a number of one-dimensional trigonometric potentials (sine-squared, double-cosine, tangent-squared, and complex cotangent). Analytic and approximate solutions are obtained by first using a coordinate transformation to reduce the Schrödinger equation to a second-order differential equation with an appropriate form. The asymptotic iteration method is also employed indirectly to obtain the terms in perturbation expansions, both for the energies and for the corresponding eigenfunctions.
5
75%
EN
The effect of radiation on a combined free and forced convection flow of a Boussinesq fluid through a vertical porous channel with viscous and Darcy dissipation is investigated analytically. The temperature of the walls is assumed to be equal and vary linearly with the height of the wall. Closed form solutions are obtained using a perturbation method valid for smalI values of the Eckert number. The effects of radiation, the porous parameter and Prandtl number on the velocity, temperature, flow rate and rate of heat transfer are presented graphically.
6
75%
EN
The present work is an extension of Morino's panel method for the calculation of wave-making resistance of ships with special reference to sinkage and trim. The body boundary is linearized about the undisturbed position of the body and the free surface is linearized about the mean water level by the systematic method of perturbation. The surfaces are discretized into flat quadrilateral elements and the influence coefficients are calculated by Morino's analytical formula. Dawson's upstream finite difference operator is used in order to satisfy the radiation condition. The sinkage and trim of a ship are computed by equating the vertical force and pitching moment to the hydrostatic restoring force and moment. The present method has been applied to the Series 60 hull for different Froude numbers and is found to be efficient for evaluating the flow field, wave pattern and wave-making resistance in deep water.
7
Content available remote Sinkage and trim of series 60 Hull at finite depth of water
75%
EN
This paper presents a potential based boundary element method for solving a nonlinear free surface problem with the effects of sinkage and trim at the finite depth of water. The free surface boundary condition is linearized by the systematic method of pertutbation in terms of a smalI parameter up to second order. The sinkage and trim of a ship are computed by equating the vertical force and pitching moment to the hydrostatic restoring force and moment. The present method has been applied to the Series 60 and is found to be efficient for evaluating the flow field, wave pattern and wave-making resistance at the finite depth of water. The second order solution improves the first order solution and the present method with the second order solution can be adopted as a powerful tool for the hydrodynamic analysis of the thin ship at the finite depth of water.
8
Content available remote Hartmann two-fluid Poiseuille-Couette flow in an inclined channel
75%
EN
A numerical and analytical study of a two fluid magnetohydrodynamic Poiseuille-Couette flow in an inclined channel is investigated. The fluids in both the regions are incompressible, electrically conducting and the transport properties are assumed to be constant. The channel walls are assumed to be electrically insulating. Separate solutions for each fluid are obtained and these solutions are matched at the interface using suitable matching conditions. The governing equations of motion are solved analytically and are valid for small Eckert numbers and numerically valid for large . Solutions for large show a marked change on the velocity and temperature profiles. The results are presented graphically for various Hartmann number, Grashof number, angle of inclination and also for various ratios. It is found that the flow can be controlled effectively by a suitable choice of values of ratios of electrical conductivities, widths, viscosities and thermal conductivities.
EN
An analysis of the Poiseuille-Couette flow in an inclined channel in a composite porous medium is presented. The flow is modeled using the Darcy-Lapwood-Brinkman equation. The viscous and Darcy dissipation terms are included in the energy equation. The coupled nonlinear equations are solved analytically using the regular perturbation method and numerically using the finite difference method. The effects of various parameters such as the porous parameter, inclination angle, Grashof number, ratios of heights, viscosities and thermal conductivities are discussed.
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