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This paper presents an investigation for bioconvection heat transfer of a nanofluid containing gyrotactic microorganisms over a stretching sheet, in which the effects of radiation, velocity slip and temperature jump are taken into account. The nonlinear governing equations are reduced into four ordinary differential equations by similarity transformations and solved by Homotopy Analysis Method (HAM), which is verified with numerical results in good agree. Results indicate that the density of motile microorganisms and gyrotactic microorganisms increase with bioconvection Rayleigh number, while decrease with increasing in bioconvection Péclet number and bioconvection Lewis number. It is also found that the Nusselt number, Sherwood number and gyrotactic microorganisms density depend strongly on the buoyancy, nanofluids and bioconvection parameters.
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