Abstract:
We study the nonlinear coupled evolution
equations which model the transient MHD natural convection and mass transfer
flow of viscous, incompressible and electrically conducting fluid between two
infinite vertical plates in the presence of the transversal magnetic field,
thermal radiation, thermal diffusion and diffusion-thermo effects. Both
analytical and numerical methods are used for this study.

In this short review some aspects of applications of free electron theory on the ground of the Fermi statistics will be analyzed. There it is an intention to attempt somebody’s attention to problems in widespread literature of interpretation of conductivity of metals, superconductor in the normal state and semiconductors with degenerated electron gas. In literature there are many cases when to these materials the classical statistics is applied. It is well known that the electron heat capacity and thermal noise (and as a consequence the electrical conductivity) are determined by randomly moving electrons, which energy is close to the Fermi energy level, and the other part of electrons, which energy is well below the Fermi level can not be scattered and change its energy. Therefore there was tried as simple as possible on the ground of Fermi distribution, and on random motion of charge carriers, and on the well known experimental results to take general expressions for various kinetic parameters which are applicable for materials both without and with degenerated electron gas. It is shown, that drift mobility of randomly moving charge carriers, depending on the degree degeneracy, can considerably exceed the Hall mobility. Also it is shown that the Einstein relation between the diffusion coefficient and the drift mobility of charge carriers is valid even in the case of degeneracy. There also will be presented the main kinetic parameter values for different metals.

Abstract:
This paper investigates the flow, heat andmass transfer of a power law fluid from a vertical plate in presence of a magnetic field. The resulting non-linear partial differential equations governing the flow together with the boundary conditions are reduced to non-dimensional form. The governing equations are discretized using implicit finite difference scheme and solved numerically. The velocity, temperature and concentration profile are presented graphically while the skin friction, local Nusselt number and the Sherwood number are presented in tabular form for different values of parameters of the problem.

Abstract:
The objective of present work is to study the thermo diffusion
effect on an unsteady simultaneous convective heat and mass transfer flow of an
incompressible, electrically conducting, heat generating/absorbing fluid along
a semi-infinite moving porous plate embedded in a porous medium with the
presence of pressure gradient, thermal radiation field and chemical reaction.
It is assumed that the permeable plate is embedded in a uniform porous medium
and moves with a constant velocity in the flow direction in the presence of a
transverse magnetic field. It is also assumed that the free stream consists of
a mean velocity, temperature and concentration over which are super imposed an
exponentially varying with time. The equations of continuity, momentum, energy
and diffusion, which govern the flow field, are solved by using a regular
perturbation method. The behavior of the velocity, temperature, concentration,
Skin-friction, rate of heat transfer and rate of mass transfer has been
discussed for variations in the physical parameters. An increase in both Pr and
R results a decrease in thermal boundary layer thickness. However, concentration
decreases as Kr, Sc increase but it increases with an increase in both So and δ.

Abstract:
the effect of a small uniform axial magnetic field on separation of a binary mixture of incompressible viscous thermally and electrically conducting fluids sheared between two parallel discs of which one is stationary and the other is rotating with a constant angular velocity, is examined. it is assumed that one of the components, which is rarer and lighter, is present in the mixture in a very small quantity. neglecting the induced electric field the equations governing the motion, temperature distribution and concentration distribution are solved in cylindrical polar coordinate by expanding the flow parameters as well as the temperature and the concentration in powers of reynolds number. the solution obtained for concentration distribution is plotted against the width of the channel for various values of non-dimensional parameters. it is found that the pressure gradient and the temperature gradient favour the separation of the components of binary fluid mixture but the axial magnetic field retards the same. near the rotating disc the rarer and lighter component of the binary mixture increases with the increase in the value of the reynolds number but reverse effect is found in the central part as well as near the stationary discs.

Abstract:
The effect of a small uniform axial magnetic field on separation of a binary mixture of incompressible viscous thermally and electrically conducting fluids sheared between two parallel discs of which one is stationary and the other is rotating with a constant angular velocity, is examined. It is assumed that one of the components, which is rarer and lighter, is present in the mixture in a very small quantity. Neglecting the induced electric field the equations governing the motion, temperature distribution and concentration distribution are solved in cylindrical polar coordinate by expanding the flow parameters as well as the temperature and the concentration in powers of Reynolds number. The solution obtained for concentration distribution is plotted against the width of the channel for various values of non-dimensional parameters. It is found that the pressure gradient and the temperature gradient favour the separation of the components of binary fluid mixture but the axial magnetic field retards the same. Near the rotating disc the rarer and lighter component of the binary mixture increases with the increase in the value of the Reynolds number but reverse effect is found in the central part as well as near the stationary discs.

Abstract:
The present note consists, the effects of thermal diffusion and chemical reaction on MHD flow of dusty viscous incom-pressible, electrically conducting fluid between two vertical heated, porous, parallel plates with heat source/sink. The plate temperature is raised linearly with time and concentration level near the plate to Cw. The variable temperature and uniform mass diffusion taking into account the chemical reaction of first order. The series solution method is used to solve the mathematical equations. Effects of various parameters like chemical reaction (K), thermal diffusion (ST) and magnetic field (M) etc. on velocity profile, skin friction, concentration profile and temperature field are displayed graphically and discussed numerically for different physical parameters. The analysis developed here for thermal diffusion, bears good agreement with real life problems.

Abstract:
The cooling curves are obtained using specific40Ar/39Ar stage heating procedure and MDD modeling. In addition to the results of dating hornblende (K-Ar) and apatite (FT), the widespread existence of rapid cooling events has further been confirmed. A new knowledge of the starting time of Gangdese overthrust faulting in the east of Zedang, which was earlier in south and later in north is acquired.

Abstract:
In this paper, we have investigated the electrical properties of TiAl3O x film as electrical gate insulator deposited by pulsed laser deposition and presented a simple method to describe the thermal diffusion behaviors of metal atoms at TiAl3O x /Si interfacial region in detail. The TiAl3O x films show obvious electrical hysteresis by the capacitance-voltage measurements after post-annealing treatment. By virtue of the diffusion models composed of TiAl3O x film and silicon, the diffusion coefficient and the diffusion activation energy of the Ti and Al atoms are extracted. It is valuable to further investigate the pseudobinary oxide system in practice. PACS: 77.55.-g; 81.15.Fg; 81.40.Gh.

A new mathematical model of time fractional order heat
equation and fractional order boundary condition have been constructed
in the context of the generalized theory of thermopiezoelasticity. The governing
equations have been applied to a semi infinite piezoelectric slab. The Laplace
transform technique is used to remove the time-dependent terms in the governing
differential equations and the boundary condition. The solution of the problem
is first obtained in the Laplace transform domain. Furthermore, a complex
inversion formula of the transform based on a Fourier expansion is used to get
the numerical solutions of the field equations which are represented
graphically.