Linear Thermal Radiation Research Articles

Slip Flow of Nanofluid Over A Stretching Vertical Cylinder in the Presence of Non-Linear Thermal Radiation and Non-Uniform Heat Source/Sink

An analysis is performed to study axisymmetric mixed convective boundary layer flow of a nanofluid over a vertical stretching circular cylinder in the presence of non-linear radiative heat flux. The effects of non-uniform heat source/sink and slip flow are also taken into consideration. Water as conventional base fluid containing nanoparticles of Copper (Cu) is used. By means of similarity transformations, the governing partial differential equations are reduced into highly non-linear ordinary differential equations and then solved analytically using Homotopy Analysis Method (HAM). A comparison is made with the available results in the literature and our results are in very good agreement with the known results. A parametric study of the physical parameters is made and results are presented through graphs and tables. The results indicate that, the thermal boundary layer is thicker for non-linear thermal radiation problem when compared with that of linear thermal radiation. It also found that heat transfer rate at the surface decreases with the increase in both space and time dependent heat source/sink parameters.

Shape effects of nanoparticles on the squeezed flow between two Riga plates in the presence of thermal radiation

This paper aims to explore the flow of water saturated with copper nanoparticles of different shapes between parallel Riga plates. The plates are placed horizontally in the coordinate axis. Influence of the linear thermal radiation is also taken into account. The equations governing the flow have been transformed into a nondimensional form by employing a set of similarity transformations. The obtained system is solved analytically (variation-of-parameters method) and numerically (Runge-Kutta scheme). Under certain conditions, a special case of the model is also explored. Furthermore, influences of the physical quantities on velocity and thermal fields are discussed with the graphical aid over the domain of interest. The quantities of engineering and practical interest (skin friction coefficient and local rate of heat transfer) are also explored graphically.

Three dimensional MHD upper-convected Maxwell nanofluid flow with nonlinear radiative heat flux

In the present article, three dimensional upper-convected Maxwell (UCM) nanofluid flow over a stretching surface has been considered to examine the effects of nanoparticles and magnetohydrodynamics (MHD) on heat and mass transfer. A nonlinear radiative heat flux is incorporated in the formulation of energy equation. Similarity transformation reduces the nonlinear partial differential equations of the problem to the ordinary differential equations, which are then solved by the well known shooting technique through Runge-Kutta integration procedure of order four. To strengthen the reliability of our results, the MATLAB built-in function bvp4c is also used. Effects of some prominent parameters such as Brownian motion parameter, Prandtl number, thermophoresis parameter, magnetic parameter on velocity, temperature and concentration are discussed graphically and numerically. It is witnessed that flow velocity is diminishing function of linear and nonlinear thermal radiation parameter. Moreover mounting values of Brownian motion parameter lower the nanoparticle concentration profile.

MHD flow and nonlinear radiative heat transfer of Sisko nanofluid over a nonlinear stretching sheet

Abstract The problem of heat and mass transfer of Siskonanofluid flow over a nonlinear stretching sheet under the influence of nonlinear thermal radiation and chemical reaction is considered. suitable set of similarity transformations are implemented to reduce the governing partial differential equations into coupled nonlinear ordinary differential equations. An efficient Runge–Kutta–Fehlberg fourth–fifth order method along with shooting technique is employed to solve the reduced equations. The influence of several emerging physical parameters on velocity, temperature and concentration profiles for both linear and nonlinear stretching sheet in the presence of linear and nonlinear thermal radiation has been studied and analyzed through plotted graphs and tables in detail. It is found that the Nusselt and Sherwood number are high in case of nonlinear stretching sheet than linear. Further, it is observed that the nonlinear thermal radiation has more influence on temperature profiles than linear.

Non linear thermal radiation effect on Williamson fluid with particle-liquid suspension past a stretching surface

A mathematical analysis of two-phase boundary layer flow and heat transfer of a Williamson fluid with fluid particle suspension over a stretching sheet has been carried out in this paper. The region of temperature jump and nonlinear thermal radiation is considered in the energy transfer process. The principal equations of boundary layer flow and temperature transmission are reformed to a set of non-linear ordinary differential equations under suitable similarity transformations. The transfigured equalities are solved numerically with the help of RKF-45 order method. The effect of influencing parameters on velocity and temperature transfer of fluid is examined and deliberated by plotted graphs and tabulated values. Significances of the mass concentration of dust particle parameter play a key role in controlling flow and thermal behavior of non-Newtonian fluids. Further, the temperature and concern boundary layer girth are declines for increasing values of Williamson parameter.

Natural convection along a vertical isothermal plate with linear and non-linear Rosseland thermal radiation

The steady laminar natural convection along a vertical isothermal plate with linear or non-linear Rosseland radiation is investigated in this paper. The problem is self-similar and the results are obtained with the direct numerical solution of the governing equations. This problem is governed by the Prandtl number, the temperature parameter as well as the radiation parameter, and the influence of these parameters on the results are presented in tables and figures. A new radiation parameter is introduced which leads to an asymptotic state. It is found that the temperature profiles take a special S-shape form with an inflection point. Moreover, it is shown that when the wall shear stress increases the wall heat transfer decreases and vice versa.

Magnetically induced axial waves in a thermoelastic circular cylinder

Magnetothermoelastic axial wave propagation for soft ferromagnetic materials is discussed, both analytically and numerically. Assuming that a constant magnetic field is applied along the axial direction, the frequency equation is obtained for linear thermal radiation and traction-free boundary conditions.

A uniqueness theorem for thermoelastic shells with generalized boundary conditions

The uniqueness of the solution of initial, mixed boundary value problems for linear thermoelastic shells is reconsidered within the context of recent developments in the thermomechanical theory of a Cosserat surface [4]. Fairly general boundary conditions are considered which allow mechanical contact with linear elastic media and thermal radiation on the boundary curve of the Cosserat surface and on the major surfaces of the shell.