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Purpose The purpose of this paper is to consider the problem of thermal destratification facing engineers and scientists during the motion of fluids which consist of rigid and randomly oriented particles suspended in a viscous medium under the influence of Lorentz force. This paper provides an insight into the non-linear transfer of thermal radiation within the boundary layer.Design/methodology/approach Similarity transformation and parameterization of the non-linear partial differential equation are carried out. The approximate analytical solution of the governing equation which models the free convective flow of strong and weak concentration of micro-elements in a micropolar fluid over a vertical surface is presented.Findings It is observed that the velocity and temperature distribution are decreasing properties of thermal stratification parameter St. Maximum local skin friction coefficients are ascertained at an epilimnion level (St=0) when the magnitude of thermal radiation is small. Thermal stratification parameter has no significant effect on the temperature distribution in the flow near a free stream.Originality/value The relationship between stratification of temperature and the transfer of thermal energy during the problem of thermal destratification facing engineers and scientist during the motion of fluids which consist of rigid and randomly oriented particles suspended in a viscous medium under the influence of Lorentz force is unravelled in this paper. [ABSTRACT FROM AUTHOR]

Purpose The purpose of this paper is to scrutinize the effects of nonlinear thermal radiation and thermal stratification effects on the flow of three-dimensional Eyring-Powell 36 nm alumina-water nanofluid within the thin boundary layer in the presence of quartic autocatalytic kind of chemical reaction effects, and to unravel the effects of a magnetic field parameter, random motion of the tiny nanoparticles and volume fraction on the flow.Design/methodology/approach The chemical reaction between homogeneous (Eyring-Powell 36 nm alumina-water) bulk fluid and heterogeneous (three molecules of the catalyst at the surface) in the flow of magnetohydrodynamic three-dimensional flow is modeled as a quartic autocatalytic kind of chemical reaction. The electromagnetic radiation which occurs within the boundary layer is treated as the nonlinear form due to the fact that Taylor series expansion may not give full details of such effects within the boundary layer. With the aid of appropriate similarity variables, the nonlinear coupled system of partial differential equation which models the flow was reduced to ordinary differential equation boundary value problem.Findings A favorable agreement of the present results is obtained by comparing it for a limiting case with the published results; hence, reliable results are presented. The concentration of homogeneous bulk fluid (Eyring-Powell nanofluid) increases and decreases with ϕ and Pr, respectively. The increase in the value of magnetic field parameter causes vertical and horizontal velocities of the flow within the boundary layer to decrease significantly. The decrease in the vertical and horizontal velocities of Eyring-Powell nanofluid flow within the boundary layer is guaranteed due to an increase in the value of M. Concentration of homogeneous fluid increases, while the concentration of the heterogeneous catalyst at the wall decreases with M.Originality/value Considering the industrial applications of thermal stratification in solar engineering and polymer processing where the behavior of the flow possesses attributes of Eyring-Powell 36 nm alumina-water, this paper presents the solution of the flow problem considering 36 nm alumina nanoparticles, thermophoresis, stratification of thermal energy, Brownian motion and nonlinear thermal radiation. In addition, the aim and objectives of this paper fill such vacuum in the industry. [ABSTRACT FROM AUTHOR]

The thermo-physical effects of thermal radiation, heat generation and species concentration on Magnetohydrodynamic free convective heat and mass transfer flow over a vertical plate with variable thermal conductivity is considered. The governing partial differential equations are transformed into coupled nonlinear ordinary differential equations with similarity transformations. The resulting coupled nonlinear differential equation is solved numerically by Runge-Kutta forth order with shooting technique. The effects of the thermo-physical properties on velocity, temperature and concentration profiles are illustrated graphically and numerical values of skin friction, Nusselt number and Sherwood number are presented in tables. [ABSTRACT FROM AUTHOR]

The problem of some thermo-physical properties on free convective heat and mass transfer of reacting flow over a vertical plate in the presence of viscous dissipation is investigated. The governing partial differential equation is transformed to a coupled nonlinear ordinary differential equation with the help of similarity variables. Two special cases are analysed under some assumptions and the resulting coupled nonlinear ordinary differential equations for both cases is solved numerically by shooting method along with Runge-Kutta fourth order technique. The effects of thermo-physical parameters on velocity and temperature are shown graphically while numerical data for the local skin friction coefficient and Nusselt number have been tabulated for various values of certain parameters. [ABSTRACT FROM AUTHOR]