Impact of nonlinear thermal radiation and gyrotactic microorganisms on the Magneto-Burgers nanofluid

The intention of current exertion is to scrutinize the steady two-dimensional boundary layer flow of Burgers bioconvection nanofluid containing of nanoparticles and gyrotactic microorganisms. Bioconvection nanofluid is produced by the joint effects of buoyancy forces and magnetic field with the collaboration of motile microorganisms and nanoparticles. Additionally, convective and nanoparticles mass flux conditions are considered here. The governing nonlinear PDEs of Burgers nanofluid relation are rendered into nonlinear ODEs using appropriate transformations and elucidated by the HAM. The features of the dimensionless velocity, temperature, concentration and nanoparticle motile microorganisms density with numerous thermo-physical, non-dimensional parameters are graphed and detailed investigation of these parameters is conducted. The current research specifies that the temperature profile of the nanofluids enhances for the augmented values of Brownian motion and thermophoresis parameters. Graphs for the local Nusselt number and local density number of motile microorganisms are computed and analyzed. Verification of analytical results is accomplished with the limiting case documented in previously reported results and we perceived an outstanding correlation with these results. Additionally, the nonlinear scrutiny is intended for the homotopy solutions. The significance of numerous somatic variables corresponding to, mixed convection parameter δ (0.3 ≤ δ ≤ 1.2), microorganism concentration difference parameter Ω (0 ≤ Ω ≤ 0.3), bioconvection Rayeigh number Rb (0 ≤ Rb ≤ 1.5), buoyancy ratio parameter Nr (0.1 ≤ Nr ≤ 1.8), Brownian motion parameter Nb (0.1 ≤ Nb ≤ 0.9), thermophoresis parameter Nt (0.2 ≤ Nt ≤ 0.8), Prandtl number Pr(0.7⩽Pr<1.7), Lewis number Le (0.2 ≤ Le ≤ 1.0), bioconvection Lewis number Lb (0.3 ≤ Lb ≤ 0.8), radiation parameter Rd (0 ≤ Rd ≤ 0.7), Peclet number Pe (0.3 ≤ Pe ≤ 1.0) on velocity, temperature, concentration and motile density distribution as well as on Nusselt number and motile density field.