Bioconvection casson nanofluid flow together with Darcy-Forchheimer due to a rotating disk with thermal radiation and arrhenius activation energy
Anwar Saeed, Taza Gul
Abstract
Abstract In this research article, we examined the Darcy-Forchheimer 3D in bioconvection Casson nanofluid flow in light of a whirling disk with Arrhenius Activation Energy and thermal Radiation. The governing equations are converted to the similarity equations and solved afterward by utilizing the Homotopy Analysis Method on behalf of several controlling parameters. The findings from this study show, that the radial velocity and tangential component of velocity decreasing for increasing values of the Inertia coefficient and the Porosity parameter. Velocity profiles enlarge with the enlargement of $$Gr$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>Gr</mml:mi> </mml:mrow> </mml:math> for nanofluids. Radial velocity diminishes with expanding Reynolds numbers $${\text{Re}}_{r}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mtext>Re</mml:mtext> <mml:mi>r</mml:mi> </mml:msub> </mml:math> and magnetic field parameters. The tangential component of velocity $$g\left( \xi \right)$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>g</mml:mi> <mml:mfenced> <mml:mi>ξ</mml:mi> </mml:mfenced> </mml:mrow> </mml:math> increases with diminishing Reynolds numbers $${\text{Re}}_{r}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mtext>Re</mml:mtext> <mml:mi>r</mml:mi> </mml:msub> </mml:math> and reduces with expanding magnetic field factors. For increasing values of Prandtl number temperature profile is increased. Heat rises with radiation parameter, thermophoresis and Brownian movement parameters. Also, nanoparticles concentration reduces on expanding Brownian motion parameter and Schmidt parameter.