Numerical investigation of MHD tangent hyperbolic nanofluid flow across a vertical stretching surface subject to activation energy

We analyze numerically the consequence of gyrotactic microbes on the MHD (magnetohydrodynamics) steady tangent hyperbolic nanofluid (THNF) flow over a nonlinearly elongating surface. The thickness of the sheet is not uniform. The effect of magnetic field, thermal conductivity, heat source/sink and thermal radiation are observed on the THNF. The modeled equations are reformed into a non-dimensional system of ODEs by using appropriate similarity variables. The simplified form of set of ODEs is further numerically calculated through the bvp4c code (MATLAB package). The comparative estimation is performed to confirm the validity of the results. It has been observed that the influence of Rayleigh number and Brownian motion all result in an acceleration of the energy field. The mass dissemination rate upsurges with the impact of activation energy, whereas declines with the chemical reactions. By varying the magnetic factor from 0.5 to 1.5, the skin friction rises by up to 8.13%. However, the rate of energy transference drops by 5.92%. The upshot of thermal radiation rises the flow velocity and energy propagation rate by 13.39% and 11.25%, respectively.