In this paper, a boundary integral equation formulation of moderately thick laminated anisotropic shallow shells including transverse shear deformation is presented using the method of weighted residuals. Numerical computation of the boundary integral equation presented is discussed in detail. Some of numerical examples are given and compared with the exact solutions and the solutions available in the literature. The numerical results show that the method presented has good accuracy and high efficiency.

     Combined free and forced convection flow of a viscous incompressible fluid past a semi-infinite vertical plate embedded in a homogeneous porous medium is studied here. With usual boundary layer transformations, the equations are reduced to local non-similar forms and these are solved numerically on a computer. Velocity and temperature profiles are shown graphically and the numerical values of the skin-friction and the rate of heat transfer are listed in a table. The effects of the parameters Gr/Re² (Gr - Grashof number Re - the Reynolds number), 'alpha' (coefficient of viscosities of the fluid and porous medium), 'sigma' (the Darcy number), Pr (the Prandtl number) and E (the Eckert number) on the flow field are discussed.

     A boundary layer solution is presented to study the mixed convection from a horizontal cylinder embedded in electrically conducting micropolar fluid. The governing conservation equations have been solved numerically. Details of the velocity, microrotation and temperature fields are presented for various material parameters. Missing values of the velocity, angular velocity and thermal functions are tabulated.

     A similarity analysis of the flow and heat transfer with magnetic field past a continuously moving semi-infinite permeable plate in a micropolar fluid is presented. The velocity, micro-rotation distribution, the temperature profiles, the skin friction and the rate of heat transfer are shown on graphs. Also the numerical values of the skin friction and the rate heat transfer are entered in tabular form.

     The axial mixing characteristics of a pilot-scale multi-stage mechanically-agitated gas/liquid contactor (the PROCHEM column) was investigated over a wide range of design and operating conditions. The experimental results, obtained using the dynamic response method, were analyzed using three models. The tanks in series model were identified as the one most suitable for describing the axial mixing in this type of column and a general correlation describing the effect of various design and operating conditions on the axial mixing characteristics was developed. A comparison with other multi-phase column contactors indicates that the axial mixing characteristics of this column are superior to those of unagitated bubble columns operating under similar conditions. Means for further improvement in column performance were also identified.

     Mixed convection along a vertical non-isothermal wedge embedded in a fluid - saturated porous media incorporating the variation of permeability and thermal conductivity is studied. The surface temperature is assumed to vary as a power of the axial coordinate measured from the leading edge of the plate. A nonsimilar mixed convection parameter 'ksi' and a pseudo-similarity variable 'eta' are introduced to cast the governing boundary layer equations into a system of dimensionless equations which are solved numerically using finite difference method. The entire mixed convection regime is covered by the single nonsimilarity parameter 'ksi'=[1+(Ra_x/Pe_x)^1/2]^-1 from pure forced convection ('ksi'=1) to pure free convection ('ksi'=0). The problem is solved using nonsimilarity solution for the case of variable wall temperature. Velocity and temperature profiles as well as the local Nusselt number are presented. The wedge angle geometry parameter ranged from 0 to 1.

     Nonsimilarity solutions for mixed convection in power-law type non-Newtonian fluids from a vertical flat plate embedded in a porous medium are reported for a variable wall temperature of the power law form. The governing equations, including internal heat generation, are first transformed into a dimensionless form by the nonsimilar transformation and then solved by a finite-difference scheme. Numerical results are presented for the fluid velocity and temperature fields.

     An analysis is presented to study the effects of thermal dispersion and lateral mass flux on non-Darcy axisymmetric free convection on permeable horizontal surfaces in a fluid saturated porous medium. The thermal diffusivity coefficient has been assumed to be the sum of the molecular diffusivity and the dynamic diffusivity due to mechanical dispersion. Similarity solutions are obtained when the surface temperature varies as the square root of the radial distance or when heat flux is constant. The effects of the dispersion, lateral mass flux and non-Darcy parameters on the velocity and temperature are shown on graphs. The numerical values of the rate of heat transfer as well as the total energy convected through the boundary layer are entered in tables.

     A closed - form solution is obtained for the problem concerning buoyancy - affected dispersion of solute in a Boussinesq fluid flow with wall - catalysed reaction. The long time Taylor (1953) and Aris (1956) regimes of dispersion for the present problem are obtained as limiting cases. The analytical result on dispersion of solute with wall catalysed reaction at long times is compared with the analytical solution when reaction is absent. The results have applications in heat exchangers, sediment - laden flows and extra - corporeal biomechanical situations.

     Lubrication of a slider bearing with a non-Newtonian fluid is considered. The fluid is a third grade fluid. Under the assumptions of the order of magnitudes of the variables, it is seen that only viscous and third grade terms are effective, whereas second grade terms and inertia terms are negligible. Choosing third grade effects to be smaller than the viscous effects, a perturbation solution is constructed. The velocity profile and the pressure distribution in the bearing is calculated approximately.

     This paper studies combined heat and mass transfer by laminar mixed convection over a horizontal plate with uniform wall temperature and concentration. Numerical solutions of the nonsimilar boundary layer equations governing the flow, energy and concentration are obtained by employing an implicit finite-difference approximation together with the Kelley box method. Distribution of the velocity, temperature and concentration profiles as well as of the local Nusselt and Sherwood numbers are calculated. The flow characteristics are revealed to be significantly influenced by the buoyancy ratio parameter, mixed convection parameter and Schmidt number.

     A similarity solution is presented for the flow of a micropolar fluid along an isothermal vertical plate with an exponentially decaying heat generation term and viscous dissipation. Numerical solutions are obtained for the governing equations. The data for friction factor, Nusselt number and wall couple stress have been tabulated for a range of Prandtl numbers and micropolar parameters.

     Numerical investigations into the sensitivity of the near field of a plane jet to the inlet boundary conditions were performed, employing both finite element and finite volume methods together with the k-'epsilon' turbulence model. The study shows that the near field is insensitive to the turbulent inlet boundary conditions when a uniform velocity profile is used. However, when a non-uniform, shear dominated velocity profile is used, the assignment of turbulent parameters has a substantial effect on the solution.

     This paper deals with the effects of thermal radiation by taking into account the free convection flow over a moving plate. The fluid considered is a gray, absorbing-emitting radiation but non-scattering medium.