Thermo diffusion and diffusion thermo impacts on bioconvection Walter-B nanomaterial involving gyrotactic microorganisms

Abstract

Here magnetohydrodynamic (MHD) bioconvection Walter-B nanofluid flow due to stretched sheet is considered. Significance of motile gyrotactic microorganisms and melting phenomena are scrutinized. Energy equation is assisted with Brownian motion, thermal radiation, Joule heating and thermophoresis diffusion. Diffusion-thermo and thermo diffusion impacts are also considered. Suitable transforms are used to reduce related expressions into ordinary differential systems. Non-linear ODEs are tackled through homotopy analysis method (HAM). Convergent series solutions are obtained. Impacts of melting parameter, Dufour number, bioconvection Lewis number, radiation parameter, Soret number, Brownian motion parameter, magnetic parameter, Prandtl number and Peclet number are addressed. Velocity intensifies with increase in melting and viscoelastic parameters while it decay against magnetic parameter. Decay in temperature in noted against melting and radiation parameters while it enhances for higher Brownian motion parameter and Prandtl number. Concentration increases against Brownian motion parameter while it decays against higher melting parameter. Microorganism field increases with Peclet number while it decays with bioconvection Lewis number.

Keywords

• Dufour and Soret effects
• Melting effect
• Joule heating
• Homotopy analysis method
• Thermal radiation