The aim of present paper is to establish the detailed numerical results for bioconvection
boundary-layer flow of two-phase dusty nanofluid. The dusty fluid contains gyrotactic microorganisms
along an isothermally heated vertical wall. The physical mechanisms responsible
for the slip velocity between the dusty fluid and nanoparticles, such as thermophoresis
and Brownian motion, are included in this study. The influence of the dusty nanofluid on
heat transfer and flow characteristics are investigated in this paper. The governing equations
for two-phase model are non-dimensionalized and then solved numerically via twopoint
finite difference method together with the tri-diagonal solver. Results are presented
graphically for wall skin friction coefficient, rate of heat transfer, velocity and temperature
profiles and streamlines and isotherms. To ensure the accuracy, the computational results
are compared with available data and are found in good agreement. The key observation
from present analysis is that the mass concentration parameter, D_ρ, extensively promotes
the rate of heat transfer, Q_w, whereas, the wall skin friction coefficient, τ_w, is reduced by
loading the dust parameters in water based dusty nanofluid
