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In this study, magnetohydrodynamic cross fluid model is used to formulate the 2D boundary layer equations of fluid moving on the parabolic surface. The surface is assumed to be in vertical shape due to the convection. The underlying effects of viscous dissipation and chemical reaction are modeled to observe the transportation of heat and mass rate. To understand fluid behavior, the thermophysical properties are considered as variable because they have huge influence in food processing, viscometers, lubricants and various industrial works. The assumed geometry of fluid flows is similar in shape of bullet, submarine, aircraft and car's bonnet, namely paraboloid surface. The modeled equations of cross fluid with mentioned effects are obtained in form of PDEs and then converted these equations in form of ODEs by assuming set of scaling transformations. For the sake of numerical and graphical outcomes, the resulting equations are solved numerically on Matlab software via BVP4c method. Results achieved across velocity indicate that the decay happens by numerous values of Weissenberg number, power law index, viscosity parameter and Hartmann number. The temperature and concentration fields attained increasing influence by thermal conductivity coefficient, Eckert number and thermal diffusivity parameter. [ABSTRACT FROM AUTHOR]

The proposed work is significantly important due to its applications in manufacturing process of submarine, bullets and aircrafts, and many more engineering and industrial works such as cooling and heating processes and chemical works. The purpose of this article is to scrutinize the flow, heat and mass transferal rate for the boundary layer flow of non-Newtonian fluid with variable fluid characteristics on the radiative paraboloid surface. The non-Newtonian fluid which is under consideration is Cross fluid model which is generalized Newtonian fluid and it acts as a shear thickening and thinning. For the sake of heat and mass transport, we have considered the activation energy and thermal radiation effects. The governing equations of considered fluid model occurred in the PDEs form and then transmuted into ODEs form by using similarity variables. The graphical behavior in terms of velocity field is noted due to viscosity parameter and Hartmann number which shows drops behavior in velocity profile. The impact of thermal radiation and thermal conductivity coefficients is noted here and concluded that both quantities creates enhancement in temperature field. The concentration transfer rate is observing for activation energy, reaction rate coefficient and mass diffusion parameters. Activation energy and mass diffusion coefficient improves the concentration rate while reaction rate diminishes the concentration layer thickness. The result of varying the Weissenberg number upon the skin friction is also analyzed. Also the comparison analyses with published articles are presented. [ABSTRACT FROM AUTHOR]

The flow of 2-D cross fluid model with mass and heat transmission over a linearly stretched sheet is analyzed in this paper. Furthermore, we have expanded our study by considering the effects of MHD flow, stagnation point, double stratification, heat generation, radiation effect, nanofluid flow, activation energy and mass diffusion. This type of study has not being investigated previously in literature. The flow generating PDEs are altered into ODEs by deploying suitable transformations. The effects of the parameters involved, namely the Weissenberg number, magnetic field coefficient, Brownian motion coefficient, radiation parameter, Damkohler number, thermophoresis coefficient, Schmidt number, activation energy, heat generation parameter and temperature difference coefficient on the velocity, concentration and energy fields are thoroughly scrutinized. The problem is solved through numerical technique (BVP4c) on MATLAB. The outcomes reveal that the velocity curve upsurges for rising Weissenberg number and decreases due to magnetic parameter. The heat field improves for increasing behavior of the Brownian motion, thermophoresis, heat generation, thermal conductivity and radiation coefficient whereas reverse results are obtained due to Prandtl number and stratification parameter. The concentration improves due to thermophoresis parameter and diffusivity coefficient while reverse outcomes are noticed due to Schmidt number, Damkohler number, temperature difference parameter and Brownian motion parameter. [ABSTRACT FROM AUTHOR]

The existing study investigates the heat and mass diffusion by using Cattaneo-Christov model for the boundary layer 2D Cross nanofluid flow over the surface of parabola along with temperature dependent viscsoity. Furthermore current problem is extended by taking the influence of enthalpy change and activation energy. Instigate from above assumptions the determining equations are generated in the form of PDEs and turned down into ODEs by using similarity transformations. A well-known method (BVp4c) is introduced to scrutinize the numerical outcomes and graphical behavior by Matlab software. The velocity of fluid displays reverse results for the enhancement in Weissenberg number and viscosity parameter. A larger value of thermal and concentration relaxation parameter indicates the fall in the respective fields. Numerical outcomes of skin friction coefficient, Sherwood number and Nusselt number for numerous parameters are shown in tables. [ABSTRACT FROM AUTHOR]