Abstract
The impact of nonlinear thermal radiation in the flow of micropolar nanofluid past a nonlinear vertically stretching surface is investigated. The electrically conducting fluid is under the influence of magnetohydrodynamics, heat generation/absorption and mixed convection in the presence of convective boundary condition. The system of differential equations is solved numerically using the bvp4c function of MATLAB. To authenticate our results, two comparisons with already studied problems are also conducted and an excellent concurrence is found; hence reliable results are being presented. Complete deliberation for magnetite nanofluid with Ferric Oxide (Fe3O4) nanoparticles in the water-based micropolar nanofluid is also given to depict some stimulating phenomena. The effect of assorted parameters on velocity, homogeneous-heterogeneous reactions, temperature and micropolar velocity profiles are discussed and examined graphically. Moreover, graphical illustrations for the Nusselt number and Skin friction are given for sundry flow parameters. It is examined that temperature distribution and its associated boundary layer thickness increase for mounting values of the magnetic parameter. Additionally, it is detected that the Nusselt number decays when we increase the values of the Biot number.
Highlights
Flows over stretched surfaces have various engineering and industrial applications like the extrusion of plastic sheets, extraction of polymer, glass blowing, drawing of wires, paper production and rubber sheets[1]
Numerical solution of flow of MHD nanofluid past a shrinking/ stretching surface in a spongy medium near a stagnation point was discussed by Khalili et al.[13]
The flow of Jeffrey fluid over a linearly stretching sheet was examined by Hayat et al.[14]
Summary
Steady two-dimensional boundary layer flow of micropolar nanofluid past a nonlinear vertically stretching surface with stretching velocity u(x) = Uw(x) = cxn along x-axis, where c is a constant. The flow is under the impacts of the nonlinear magnetic field, nonlinear thermal radiation, heat absorption/ generation coefficient, and h & h reactions. Applying the boundary layer approximation, the continuity, micropolar, energy and concentration equations can be stated as follows:. The parameters k2, M, K, Rd, γ, k1, Sc, δ, Bi, λ represent the strength of heterogeneous reaction, magnetic parameter, micropolar parameter, radiation parameter, heat generation parameter, the strength of homogeneous reaction, Schmidt number, the ratio of diffusion coefficient, Biot number and mixed convection parameter respectively are defined as follows λ
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