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This article gives brief summary about the boundary layer flow characteristics of magnetic generalized Newtonian fluid due to a paraboloid revolution under bioconvection and chemical reactive species. The nanofluid model utilized in this work includes the behavior of Brownian motion and thermophoresis. The differential equations can be determined by a similarity solution. The determined ordinary differential equations have been solved numerically by fifth order Runge–Kutta Fehlberg method-based shooting technique. The behavior of different physical controlling dimensionless parameters on the base flow velocity, temperature, concentration, skin friction heat and mass transfer rates are analyzed numerically and graphically. We observed that the velocity, temperature and concentration profile reduce for increasing values of Hartmann number, Weissenberg number, wall thickness, stretching index, bioconvection, Prandtl number, Lewis number and Brownian motions whilst behavior is noticed for power law index. Moreover, for increases the values of Brownian and thermophoresis parameter the temperature profile shown increasing behavior. Comparison has been with represents date and found that the results have good agreement.

In the current analysis heat and mass assignment in non-axisymmetric Homann stagnation point flow due to a linear stretched sheet in the presences of a porous medium is studied. Viscous nanofluid flow and chemical reaction are used to explore the heat and mass transfer phenomena. In mathematical modeling of mass and heat transfer, modified forms of Fourier and Fick’s laws are implemented. The system of PDEs are renovated into strong nonlinear ODEs by used are appropriate transformation and then these renovated equations are solved by shooting scheme (Cash and Karp). The related important physical parameters are discussed thoroughly and illustrated by using tables and graphs. Effects of developing parameters on friction factor, heat transfer, mass transfer, nano-concentration, temperature and velocity distributions are evaluated through graphs and tables. We observe that the base profile reduces with an increasing values of Hartmann number, porosity parameter and inertia factor. Moreover, for increasing values of thermal relaxation parameter, Prandtl parameter, concentration relaxation parameter, chemical reactive species and Lewis number, the temperature and concentration profiles illustrate reducing behavior.

This article examine the impact of internal energy change in steady, Carreau incompressible electrically conducting fluid flow due to a porous Von Karman problem under the effects of transverse magnetic field and Ohmic heating. The nonlinearities generated by the rheological fluid model declines the numerical convergence of outcome results, that is why infinite shear viscosity is assumed to be zero. The basic mathematical model (system of PDEs) is converted into nonlinear ODEs by applying Von Karman similarity transformations. Numerical solutions of the resultant equations are achieved by utilizing (fifth order Runge–Kutta–Fehlberg method) along with shooting technique. Detailed variations of radial and tangential components of the velocity as function of H a number, power law index, Reynold number and W e number have been computed for further analysis. Phenomena of heat and mass transfer depends on thermal-diffusion and diffusion-thermo aspects. So, Soret and Dufour effects are also added in this analysis.

In this work, we address the thermal and concentration diffusions of magneto-hydrodynamic Carreau fluid flow induced due to a stretching cylinder along with chemical reaction and zero normal flux condition. The energy and concentration expressions are combined with new theories of heat and mass diffusions (Cattaneo–Christov), which is improve form of Fourier’s and Fick’s laws. The additional terms of thermal and concentration relaxation times are added in Cattaneo–Christov double diffusions. Similarity methodology is employed to moderate the governing PDEs (partial differential equations) into the nonlinear ODEs (ordinary differential equations) which are solved using RK-4 based shooting technique. The remarkable results for velocity, concentration, temperature distributions are established by graphs. Plots and tables presenting influence of friction factor, local heat and mass transfer rate are also examined. It is seen that the temperature distribution increases by enhancing thermophoresis parameter, while reduces with increase values of Prandtl number, Brownian motion and curvature parameter. Moreover, the velocity profile increases with increase values of curvature parameter, Weissenberg number and power law index. The computational results are also compared with current data for limiting cases and good agreement is found.